/Users/andrea/_magisterarbeit/korpus/clean/trainkorpus/11/file_231.html NN ----------------------------------------- : MITACS NP Mathematical JJ Biology NN and CC related JJ Seminars NNS Acknowledgements NNS . SENT This DT seminar NN series NN is VBZ supported VVN by IN the DT Mathematics NN for IN Information NP Technology NP and CC Complex JJ Systems NPS MITACS NP NCE NP , , by IN PIMS NP , , and CC by IN NSERC NP grants NNS to TO UBC NP faculty NN . SENT We PP are VBP very RB grateful JJ to TO PIMS NNS and CC to TO the DT PIMS NP staff NN for IN a DT providing VVG space NN and CC seminar NN facilities NNS b SYM organizing VVG and CC providing VVG refreshments NNS and CC c LS handling VVG local JJ arrangements NNS for IN visiting VVG speakers NNS . SENT Link NN to TO seminars NNS in IN Previous JJ months NNS and CC years NNS Seminars NNS held VVN in IN Year NP 2003 CD Mathematical JJ Biology NN Seminar NN Time NN . SENT Wedn NP Dec NP 3 CD , , 2003 CD , , 2 CD . SENT 00 CD pm NN Location NP . SENT Rm NP 216 CD , , PIMS NP main JJ facility NN , , 1933 CD West NP Mall NP , , UBC NP Speaker NP . SENT Peter NP Cripton NP , , Mechanical NP Engineering NP , , UBC NP Title NP . SENT Kinematics NNS of IN the DT Human NP Spine NP Abstract JJ . SENT The DT human JJ spine NN must MD allow VV significant JJ motion NN during IN such JJ everyday JJ activities NNS as IN bending VVG , , lifting NN , , looking VVG overhead RB or CC emphatically RB shaking VVG one's NNS head VV no RB . SENT In IN addition NN to TO allowing VVG this DT motion NN , , the DT spine NN must MD withstand VV significant JJ mechanical JJ loads NNS , , in IN its PP$ role NN as IN a DT component NN of IN the DT musculoskeletal JJ structure NN , , and CC protect VV a DT major JJ component NN of IN the DT central JJ nervous JJ system NN , , the DT spinal JJ cord NN , , from IN mechanical JJ insult NN . SENT The DT loads NNS in IN the DT lumbar JJ spine NN low NN back RB can MD range VV up RB to TO five CD thousand CD Newtons NNS in IN some DT people NNS for IN some DT activities NNS . SENT This DT approaches VVZ half PDT the DT weight NN of IN some DT small JJ cars NNS . SENT The DT spine NN is VBZ anatomically RB complex JJ and CC its PP$ size NN and CC structure NN changes NNS from IN one CD part NN of IN the DT body NN to TO the DT next JJ . SENT The DT corresponding JJ kinematics NN motion NN allowed VVN by IN the DT spine NN varies VVZ greatly RB depending VVG on IN the DT region NN of IN the DT body NN of IN interest NN . SENT Physicians NNS , , bioengineers NNS and CC other JJ basic JJ scientists NNS have VHP long RB studied VVN the DT spine's JJ kinematics NN for IN the DT investigation NN of IN natural JJ biomechanical JJ processes NNS , , to TO characterize VV pathologic JJ motion NN or CC instability NN and CC to TO evaluate VV the DT efficacy NN of IN surgical JJ devices NNS and CC techniques NNS . SENT I PP will MD present VV a DT review NN of IN the DT experimental JJ techniques NNS and CC underlying VVG mathematical JJ principals NNS that WDT have VHP been VBN used VVN to TO measure VV and CC communicate VV results NNS regarding VVG human JJ spine NN kinematics NNS . SENT One CD focus NN of IN the DT presentation NN will MD be VB to TO identify VV and CC compare VV the DT fundamental JJ differences NNS between IN spine NN motion NN in IN the DT cervical JJ neck NN , , thoracic JJ and CC lumbar JJ regions NNS of IN the DT spine NN . SENT I PP will MD also RB review VV the DT overall JJ research NN questions NNS and CC themes NNS that WDT have VHP been VBN addressed VVN using VVG these DT techniques NNS . SENT Back RB To TO Top JJ Mathematical JJ Biology NN Seminar NN Time NN . SENT Wedn NP Nov NP 19 CD , , 2003 CD , , 2 CD . SENT 00 CD pm NN Location NP . SENT Rm NP 216 CD , , PIMS NP main JJ facility NN , , 1933 CD West NP Mall NP , , UBC NP Speaker NP . SENT Viktoria NP Hsu NP Applied NP Mathematics NN , , University NP of IN Washington NP Title NP . SENT Mechanistic JJ Modeling NN of IN Cell NN Membrane NN Potentials NNS via IN a DT Quasi NP Steady NP State NP Approximation NN Abstract JJ . SENT Most RBS mathematical JJ models NNS for IN signal NN generation NN in IN single JJ neurons NNS , , such JJ as IN the DT classic JJ Hodgkin NP Huxley NP model NN , , assume VVP that IN the DT single JJ neuron NN is VBZ bathed VVN in IN an DT infinite JJ buffer NN solution NN . SENT Thus RB the DT composition NN of IN the DT bath NN never RB changes VVZ . SENT This DT assumption NN is VBZ appropriate JJ for IN the DT comparison NN of IN model NN results NNS to TO in IN vitro NP studies NNS because IN in IN these DT studies NNS the DT cell NN preparation NN is VBZ actually RB bathed VVN in IN a DT relatively RB fixed VVN environment NN . SENT In IN their PP$ current JJ state NN , , such JJ models NNS are VBP not RB able JJ to TO take VV into IN account NN large JJ changes NNS in IN the DT external JJ environment NN of IN a DT cell NN during IN ischemia NN . SENT It PP is VBZ my PP$ goal NN to TO improve VV current JJ neuron NN models NNS so RB that IN the DT changing VVG extracellular JJ conditions NNS can MD be VB taken VVN into IN account NN in IN a DT single JJ cell NN micro NP environment NN . SENT The DT main JJ challenges NNS in IN this DT endeavor NN are VBP due JJ to TO the DT necessity NN of IN creating VVG a DT finite JJ extracellular JJ compartment NN . SENT This DT requires VVZ considering VVG mass NN conservation NN and CC electroneutrality NN . SENT In IN this DT talk NN , , I PP lay VVD the DT foundation NN for IN a DT physically RB consistent JJ model NN based VVN on IN a DT quasi NP steady JJ state NN approximation NN . SENT In IN the DT first JJ part NN of IN the DT presentation NN , , an DT efficient JJ numerical JJ method NN for IN the DT solution NN of IN 1 CD D NP Poisson NP Nernst NP Planck NP PNP NP systems NNS is VBZ developed VVN . SENT In IN the DT second JJ part NN of IN the DT talk NN , , this DT numerical JJ method NN is VBZ applied VVN to TO solving VVG the DT consecutive JJ steady JJ state NN dynamics NNS of IN a DT two CD compartment NN system NN of IN ions NNS . SENT The DT results NNS of IN my PP$ approach NN are VBP compared VVN to TO the DT full JJ PDE NP in IN order NN to TO confirm VV the DT sensibility NN of IN the DT steady JJ state NN assumption NN . SENT Finally RB , , the DT quasi NP steady JJ state NN approach NN is VBZ compared VVN to TO a DT Hodgkin NP Huxley NP type NN model NN for IN a DT cell NN with IN intact JJ gated VVN channels NNS but CC no DT ion NN pumps NNS to TO maintain VV homeostasis NN . SENT In IN the DT future NN , , I PP would MD like VV to TO incorporate VV active JJ ion NN transport NN , , applied VVN currents NNS , , and CC cell NN volume NN dynamics NNS into IN my PP$ model NN . SENT Back RB To TO Top JJ Mathematical JJ Biology NN Seminar NN Time NN . SENT Wedn NP Nov NP 12 CD , , 2003 CD , , 2 CD . SENT 00 CD pm NN Location NP . SENT Rm NP 216 CD , , PIMS NP main JJ facility NN , , 1933 CD West NP Mall NP , , UBC NP Speaker NP . SENT Fred NP Brauer NP Dept NP of IN Mathematics NN , , UBC NP Title NP . SENT Some DT simple JJ models NNS for IN disease NN outbreaks NNS Abstract JJ . SENT The DT recent JJ SARS NP epidemic NN has VHZ drawn VVN attention NN back RB to TO the DT classical JJ Kermack NP McKendrick NP epidemic NN model NN of IN 1927 CD more JJR precisely RB , , to TO the DT very RB special JJ case NN which WDT is VBZ usually RB called VVN the DT Kermack NP McKendrick NP model NN . SENT We PP study VVP some DT natural JJ extensions NNS to TO include VV such JJ aspects NNS as IN an DT exposed VVN period NN , , quarantine NN , , and CC the DT reduction NN of IN contacts NNS by IN susceptibles NNS in IN response NN to TO an DT epidemic NN . SENT Back RB To TO Top JJ Mathematical JJ Biology NN Seminar NN Time NN . SENT Wedn NP Nov NP 5 CD , , 2003 CD , , 2 CD . SENT 00 CD pm NN Location NP . SENT Rm NP 216 CD , , PIMS NP main JJ facility NN , , 1933 CD West NP Mall NP , , UBC NP Speaker NP . SENT Elena NP Braverman NP U NP Calgary NP Title NP . SENT Logistic JJ equations NNS with IN harvesting NN Abstract JJ . SENT joint JJ work NN with IN L NP . SENT Berezansky NP and CC L NP . SENT Idels NP Population NP models NNS with IN harvesting NN of IN various JJ types NNS are VBP considered VVN . SENT The DT following VVG question NN is VBZ in IN the DT centre NN of IN our PP$ discussion NN . SENT when WRB does VVZ the DT harvesting NN lead NN to TO the DT extinction NN of IN the DT population NN . SENT When WRB can MD we PP provide VV that IN there EX is VBZ a DT positive JJ solution NN of IN the DT system NN . SENT Two CD models NNS are VBP studied VVN in IN detail NN . SENT a DT delay NN logistic NN equation NN with IN continuous JJ proportional JJ or CC nonlinear JJ harvesting NN which WDT may MD also RB be VB delayed VVN and CC a DT logistic JJ equation NN with IN impulsive JJ harvesting NN . SENT In IN addition NN to TO non JJ extinction NN of IN the DT population NN , , for IN the DT continuous JJ model NN with IN linear JJ harvesting NN the DT oscillation NN about IN a DT new JJ equilibrium NN is VBZ studied VVN . SENT for IN a DT logistic JJ equation NN without IN delay NN and CC with IN impulsive JJ harvesting NN the DT asymptotics NN of IN solutions NNS is VBZ described VVN . SENT It PP is VBZ demonstrated VVN that IN the DT latter JJ model NN can MD be VB reduced VVN to TO some DT difference NN equation NN . SENT Back RB To TO Top JJ Mathematical JJ Biology NN Seminar NN Time NN . SENT Wedn NP Oct NP 29 CD , , 2003 CD , , 2 CD . SENT 00 CD pm NN Location NP . SENT Rm NP 216 CD , , PIMS NP main JJ facility NN , , 1933 CD West NP Mall NP , , UBC NP Speaker NP . SENT David NP Brian NP Walton NP Applied NP Mathematics NN , , U NP Washington NP Title NP . SENT Using VVG Hidden NP Markov NP Models NNS to TO Analyze VV Single NP Molecule NN Motor NP Protein NN Experiments NNS Abstract JJ . SENT Kinesin NP is VBZ a DT motor NN protein NN that WDT uses VVZ the DT energy NN of IN ATP NP hydrolysis NN to TO transport VV vesicles NNS and CC organelles NNS along IN microtubule NN tracks NNS within IN cells NNS . SENT Biophysicists NNS interested VVN in IN understanding VVG how WRB such JJ proteins NNS can MD convert VV chemical JJ energy NN into IN mechanical JJ energy NN have VHP studied VVN kinesin NN and CC other JJ motor NN proteins NNS extensively RB . SENT Recent JJ experiments NNS study VVP the DT behavior NN of IN single JJ kinesin NN motors NNS using VVG optical JJ traps NNS and CC tethered JJ glass NN beads NNS . SENT Records NNS of IN bead NN positions NNS provide VVP an DT indirect JJ , , noisy JJ record NN of IN the DT progress NN of IN the DT motor NN protein NN . SENT Hidden JJ Markov NP models NNS provide VVP a DT tool NN to TO analyze VV these DT records NNS statistically RB to TO infer VV model NN parameters NNS for IN the DT motor's NNS stepping VVG cycle NN . SENT Back RB To TO Top JJ Note NN . SENT There EX will MD be VB no DT Math NP Biology NN seminar NN on IN October NP 22 CD , , 2003 CD Back RB To TO Top JJ Applied NP Mathematics NN Colloquium NN Time NN . SENT Monday NP , , Oct NP 20 CD , , 2003 CD , , 3 CD . SENT 00 CD pm NN Location NP . SENT Rm NP 301 CD , , LS NP Klink NP , , 6356 CD Agricultural NP Road NP , , UBC NP Speaker NP . SENT Dan NP Coombs NP , , Dept NP of IN Mathematics NN , , UBC NP Title NP . SENT Periodic JJ chirality NN inversions NNS propagating VVG on IN bacterial JJ flagella NNS . SENT Back RB To TO Top JJ Mathematical JJ Biology NN Seminar NN Time NN . SENT Wedn NP Oct NP 15 CD , , 2003 CD , , 2 CD . SENT 00 CD pm NN Location NP . SENT Rm NP 216 CD , , PIMS NP main JJ facility NN , , 1933 CD West NP Mall NP , , UBC NP Speaker NP . SENT Roy NP Adler NP IBM NP Watson NP Research NP Center NP , , Yorktown NP Heights NP , , NY NP Title NP . SENT Scoliosis NN and CC modelling VVG the DT spine NN Abstract JJ . SENT Scoliosis NN is VBZ an DT enigmatical JJ disease NN not RB so RB uncommon JJ which WDT results NNS in IN a DT three CD dimensional JJ deformation NN of IN the DT spine NN . SENT At IN present JJ the DT only JJ treatment NN for IN severe JJ cases NNS is VBZ spinal JJ fusion NN , , not RB a DT particularly RB desirable JJ solution NN . SENT The DT purpose NN of IN this DT study NN is VBZ to TO develop VV new JJ tools NNS for IN understanding VVG this DT mystery NN and CC improving VVG surgical JJ procedures NNS . SENT We PP present VVP preliminary JJ results NNS concerning VVG a DT certain JJ hypothesis NN about IN the DT three CD dimensional JJ spinal JJ configuration NN . SENT namely RB , , the DT static JJ erect JJ spine NN assumes VVZ a DT shape NN , , which WDT minimizes VVZ a DT hypothetical JJ energy NN function NN . SENT Ordinarily RB this DT type NN of IN minimization NN would MD be VB handled VVN by IN Lagrange's NP method NN of IN undetermined JJ multipliers NNS . SENT However RB due JJ to TO the DT nature NN of IN the DT constraints NNS , , we PP obtain VVP this DT minimum NN by IN an DT application NN of IN Newton NP methods NNS on IN manifolds NNS , , which WDT uses VVZ the DT group NN operations NNS of IN orthogonal JJ matrices NNS to TO advantage NN . SENT If IN time NN permits NNS , , we PP shall MD discuss VV a DT connection NN of IN the DT scolitic JJ deformity NN with IN the DT geometry NN of IN space NN curves NNS . SENT On IN one CD hand NN , , the DT erect VV scoliotic JJ spine NN is VBZ usually RB non JJ planar JJ and CC involves VVZ twisted JJ vertebrae NNS . SENT On IN the DT other JJ hand NN , , the DT normal JJ spine NN is VBZ planar JJ with IN no DT vertebral JJ rotations NNS , , but CC rotation NN occurs VVZ upon IN bending VVG . SENT The DT medical JJ literature NN gives VVZ a DT physiological JJ explanation NN of IN this DT phenomena NNS . SENT We PP shall MD present VV a DT purely RB geometrical JJ one NN . SENT Back RB To TO Top NP Department NP of IN Mathematics NN Colloquium NN , , UBC NP Time NP . SENT Friday NP Oct NP 10 CD , , 3 CD 4 CD pm NN Location NP . SENT Math NN Annex NN room NN 1100 CD , , UBC NP Speaker NP . SENT Yue NP Xian NP Li NP , , Dept NP of IN Mathematics NN , , UBC NP Title NP . SENT A DT Model NP of IN Calcium NN Waves NNS and CC a DT Theory NN of IN Waves NNS in IN Inhomogeneous JJ Media NP Abstract JJ . SENT Many JJ living NN creatures NNS , , including VVG humans NNS start VV their PP$ life NN when WRB an DT egg NN cell NN is VBZ penetrated VVN by IN a DT sperm NN . SENT One CD of IN the DT events NNS immediately RB following VVG sperm NN entry NN is VBZ the DT occurrence NN of IN one CD or CC more JJR waves NNS of IN elevated JJ Ca NP 2 CD concentration NN that IN travel NN from IN the DT site NN of IN sperm NN entry NN to TO the DT opposite JJ end NN of IN the DT egg NN cell NN . SENT These DT waves NNS , , called VVD fertilization NN Ca NP 2 CD waves NNS , , are VBP vital JJ for IN the DT subsequent JJ development NN of IN the DT fertilized VVN egg NN . SENT In IN egg NN cells NNS of IN some DT species NN , , the DT first JJ few JJ waves NNS propagate VV further RBR and CC further RBR into IN the DT cellular JJ space NN but CC fail VVP to TO reach VV the DT opposite JJ end NN . SENT These DT waves NNS are VBP called VVN incomplete JJ waves NNS . SENT In IN this DT talk NN , , I PP present VVP a DT bidomain NN model NN of IN reaction NN diffusion NN type NN that WDT explains VVZ how WRB such JJ incomplete JJ waves NNS can MD occur VV . SENT The DT model NN reveals VVZ that IN traveling VVG fronts NNS that WDT propagate VV in IN an DT oscillatory JJ manner NN , , called VVD tango NN waves NNS , , can MD occur VV in IN an DT excitable JJ medium NN in IN the DT presence NN of IN spatial JJ inhomogeneity NN . SENT A DT preliminary JJ theory NN is VBZ developed VVN for IN studying VVG stationary JJ and CC traveling VVG fronts NNS and CC pulses NNS in IN a DT more RBR general JJ model NN for IN excitable JJ media NNS . SENT This DT study NN predicts VVZ a DT variety NN of IN experimental JJ conditions NNS under IN which WDT tango NN waves NNS can MD occur VV . SENT Other JJ areas NNS of IN biology NN in IN which WDT this DT theory NN may MD also RB apply VV will MD be VB discussed VVN . SENT A DT more RBR technical JJ talk NN closely RB related VVN to TO this DT one NN will MD be VB presented VVN at IN the DT Applied NP Math NP Scientific NP Computing NP seminar NN on IN Oct NP 1 CD . SENT Back RB To TO Top JJ Mathematical JJ Biology NN Seminar NN Time NN . SENT Wedn NP Oct NP 8 CD , , 2003 CD , , 2 CD . SENT 00 CD pm NN Location NP . SENT Rm NP 216 CD , , PIMS NP main JJ facility NN , , 1933 CD West NP Mall NP , , UBC NP Speaker NP . SENT Thomas NP Hillen NP Dept NP of IN Mathematics NN , , U NP Alberta NP Title NP . SENT L NP 2 CD moment NN closure NN of IN transport NN equations NNS and CC applications NNS in IN biology NN Abstract JJ . SENT We PP consider VVP the DT moment NN closure NN approach NN to TO transport VV equations NNS which WDT arise VVP in IN mathematical JJ biology NN . SENT We PP show VVP that IN the DT negative JJ L NP 2 CD norm NN is VBZ an DT entropy NN in IN the DT sense NN of IN thermodynamics NNS , , and CC it PP satisfies VVZ an DT H NP theorem NN . SENT With IN an DT L NP 2 CD norm NN minimization NN procedure NN we PP formally RB close VV the DT moment NN hierarchy NN . SENT The DT 2 CD moment NN closure NN leads VVZ to TO semilinear JJ Cattaneo NP systems NNS , , which WDT are VBP closely RB related VVN to TO damped VVN wave NN equations NNS . SENT We PP derive VV estimates NNS for IN the DT accuracy NN of IN this DT moment NN approximation NN . SENT The DT method NN is VBZ used VVN to TO study VV reaction NN transport NN models NNS and CC transport NN models NNS for IN chemosensitive JJ movement NN . SENT In IN addition NN , , the DT closure NN procedure NN allows VVZ us PP to TO derive VV appropriate JJ boundary NN conditions NNS for IN the DT Cattaneo NP approximation NN . SENT Finally RB , , we PP discuss VVP applications NNS to TO pattern NN formation NN in IN Dictyostelium NN discoideum NN and CC Salmonella NN typhimurium NN joint JJ with IN Yasmin NP Dolak NP , , Vienna NP . SENT Back RB To TO Top JJ The DT applied VVN math NN scientific JJ computing NN seminar NN Time NN . SENT Wedn NP Oct NP 1 CD , , 2003 CD , , 12 CD 13 CD pm NN Location NP . SENT Rm NP 216 CD , , PIMS NP main JJ facility NN , , 1933 CD West NP Mall NP , , UBC NP Speaker NP . SENT Yue NP Xian NP Li NP , , Dept NP of IN Mathematics NN , , UBC NP Title NP . SENT A DT Theory NN of IN Forced VVN Pattern NN Formation NN in IN Excitable JJ Media NP Abstract JJ . SENT An DT excitable JJ medium NN generally RB refers VVZ to TO a DT medium NN that WDT is VBZ capable JJ of IN generating VVG traveling VVG waves NNS . SENT It PP has VHZ been VBN widely RB encountered VVN in IN biology NN , , chemistry NN , , and CC physics NNS . SENT Many JJ excitable JJ media NNS have VHP been VBN modeled VVN by IN systems NNS of IN PDEs NNS of IN reaction NN diffusion NN type NN . SENT Excitable JJ neural JJ media NNS are VBP often RB modeled VVN by IN integro NN differential NN equations NNS IDEs NNS . SENT In IN both DT PDE NP and CC IDE NN models NNS of IN excitable JJ media NNS , , stationary JJ spatial JJ patterns NNS of IN Turing's NP type NN can MD occur VV under IN certain JJ conditions NNS . SENT Such JJ patterns NNS have VHP been VBN used VVN to TO explain VV a DT variety NN of IN biological JJ pattern NN formation NN processes VVZ including VVG morphogenesis NN and CC hallucination NN . SENT In IN this DT talk NN , , I'll NP discuss VVP a DT pattern NN formation NN mechanism NN that WDT is VBZ different JJ from IN Turing's NP , , called VVD inhomogeneity NN induced VVD pattern NN formation NN . SENT Such JJ patterns NNS occur VVP in IN an DT excitable JJ medium NN due JJ to TO the DT existence NN of IN an DT inhomogeneous JJ but CC stationary JJ forcing VVG . SENT The DT interesting JJ thing NN we PP found VVD is VBZ . SENT introducing VVG a DT stationary JJ bump NN into IN such PDT a DT medium NN does VVZ not RB always RB produce VV just RB a DT simple JJ bump NN shaped JJ output NN pattern NN . SENT A DT complex JJ bifurcation NN scenario NN can MD occur VV giving VVG rise NN to TO the DT co NP existence NN of IN multiple JJ patterns NNS . SENT Stability NN analysis NN shows VVZ that DT instability NN of IN such JJ patterns NNS often RB occur VVP through IN a DT Hopf NP bifurcation NN giving VVG rise NN to TO oscillatory JJ pulse NN solutions NNS . SENT Such JJ oscillatory JJ pulses NNS can MD behave VV like IN a DT pulse NN generator NN that WDT emits VVZ traveling VVG pulses NNS periodically RB into IN the DT medium NN . SENT Possible JJ areas NNS in IN biology NN where WRB this DT theory NN can MD be VB applied VVN will MD be VB discussed VVN . SENT This DT talk NN is VBZ closely RB related VVN to TO my PP$ math NN colloquium NN talk NN on IN Oct NP 10 CD . SENT Back RB To TO Top JJ Math NP Biology NN workshop NN Times NP . SENT Tuesday NP Sep NP 30 CD , , 2003 CD 11 CD . SENT 00 CD Location NP . SENT IAM NP lab NN , , 306 CD Leonard NP Klinck NP building NN , , UBC NP Speaker NP . SENT Stefan NP Reinker NP , , Dept NP of IN Mathematics NN , , UBC NP Title NP . SENT Software NN for IN ODE NN models NNS Abstract JJ . SENT To TO complement VV Fred NP Brauer's NP workshop NN on IN qualitative JJ analysis NN of IN ODE NN models NNS see VVP below RB , , I PP will MD offer VV a DT workshop NN on IN software NN that WDT is VBZ useful JJ for IN numerical JJ , , phase NN plane NN and CC bifurcation NN analysis NN of IN ODEs NNS . SENT Just RB drop NN by IN if IN you PP are VBP interested JJ . SENT I PP will MD first RB show VV some DT of IN the DT standard JJ software NN , , including VVG XPP NP and CC Matlab NP , , and CC then RB we PP can MD address VV specific JJ questions NNS . SENT There EX is VBZ also RB a DT website NN with IN descriptions NNS of IN the DT programs NNS and CC some DT example NN files NNS that WDT will MD be VB discussed VVN . SENT Back RB To TO Top JJ Math NP Biology NN workshops NNS Times NP . SENT Monday NP September NP 29 CD , , 11 CD . SENT 00 CD AM NP 12 CD . SENT 00 CD noon NN , , and CC Wednesday NP October NP 1 CD , , 11 CD . SENT 00 CD AM NP 12 CD . SENT 00 CD noon NN Location NP . SENT Monday NP at IN . SENT Rm NP 216 CD , , PIMS NP main JJ facility NN , , 1933 CD West NP Mall NP , , UBC NP NOTE NN CHANGE NN . SENT Wedn NNS at IN . SENT 140 CD West NP Mall NP Annex NN Speaker NP . SENT Fred NP Brauer NP , , Dept NP of IN Mathematics NN , , UBC NP Title NP . SENT Review NN . SENT Qualitative JJ analysis NN of IN ODE NN models NNS Abstract JJ . SENT There EX will MD be VB two CD lectures VVZ on IN qualitative JJ properties NNS of IN ordinary JJ differential JJ equations NNS to TO serve VV as IN review NN and CC background NN for IN dealing VVG with IN ODE NN models NNS in IN mathematical JJ biology NN . SENT They PP will MD concentrate VV on IN two CD dimensional JJ systems NNS covering VVG equilibrium NN analysis NN , , local JJ asymptotic JJ stability NN , , and CC global JJ properties NNS . SENT Everyone NN with IN possible JJ interest NN is VBZ invited VVN to TO attend VV . SENT Back RB To TO Top NP MITACS NP Mathematical JJ Biology NN 1 CD 2 CD day NN workshop NN Time NN . SENT Wedn NP Sept NP 24 CD , , 2003 CD , , 1 CD . SENT 00 CD PM NP Location NP . SENT Rm NP 216 CD , , PIMS NP main JJ facility NN , , 1933 CD West NP Mall NP , , UBC NP Speakers NNS . SENT MITACS NP students NNS , , faculty NN Title NN . SENT Semi NN annual JJ local JJ MITACS NP team NN workshop NN Abstract JJ . SENT See VV Schedule NN for IN full JJ details NNS . SENT Back RB To TO Top JJ Mathematical JJ Biology NN Seminar NN Time NN . SENT Wedn NP Sept NP 17 CD , , 2003 CD , , 2 CD . SENT 00 CD pm NN Location NP . SENT Rm NP 216 CD , , PIMS NP main JJ facility NN , , 1933 CD West NP Mall NP , , UBC NP Speaker NP . SENT Brian NP Grenfell NP Dept NP of IN Zoology NN , , University NP of IN Cambridge NP , , UK NP Title NP . SENT Childhood NN infections NNS in IN space NN and CC time NN Abstract JJ . SENT Childhood NN infections NNS give VVP us PP an DT unusually RB detailed JJ empirical JJ picture NN of IN natural JJ enemy NN dynamics NNS in IN space NN and CC time NN . SENT I PP use VVP wavelet NN analysis NN and CC models NNS to TO explore VV the DT spatio NN temrpoal NN dynamics NNS and CC control NN by IN vaccination NN of IN measles NN and CC whooping JJ cough NN in IN England NP and CC Wales NP . SENT The DT results NNS indicate VVP marked JJ hierarchical JJ travelling VVG waves NNS of IN measles NN , , driven VVN by IN forest NN fire NN like IN dynamics NNS and CC markedly RB different JJ nonlinear JJ behaviour NN of IN the DT measles NN and CC whooping JJ cough NN attractors NNS in IN the DT face NN of IN vaccination NN , , despite IN the DT similarity NN of IN their PP$ natural JJ history NN . SENT A DT final JJ study NN also RB explores VVZ waves NNS . SENT The DT talk NN also RB explores VVZ the DT impact NN of IN waves NNS , , sparks NNS and CC vaccination NN in IN the DT control NN of IN foot NN and CC mouth NN disease NN . SENT Back RB To TO Top JJ Mathematical JJ Biology NN Organizational JJ Meeting VVG Time NN . SENT Wed VVN Sept NP 10 CD , , 2003 CD , , 2 CD . SENT 00 CD pm NN Location NP . SENT Rm NP 216 CD , , PIMS NP main JJ facility NN , , 1933 CD West NP Mall NP , , UBC NP Organizational JJ Meeting VVG There EX will MD not RB be VB a DT formal JJ seminar NN on IN this DT day NN , , but CC we PP will MD meet VV at IN our PP$ usual JJ venue NN at IN PIMS NP to TO introduce VV new JJ students NNS and CC faculty NN , , and CC to TO chat VV over IN coffee NN , , tea NN , , and CC refreshments NNS . SENT Back RB To TO Top JJ Applied NP Mathematics NN Colloquium NN Time NN . SENT Mon NP Sept NP 8 CD , , 2003 CD , , 3 CD . SENT 00 CD pm NN Location NP . SENT Rm NP 301 CD , , LS NP Klink NP , , 6356 CD Agricultural NP Road NP , , UBC NP Speaker NP . SENT Michael NP Ward NP , , Dept NP of IN Mathematics NN , , UBC NP Title NP . SENT Oscillatory NN and CC competition NN instabilities NNS of IN localized JJ patterns NNS in IN the DT Gierer NP Meinhard NP and CC Gray NP Scott NP Models NNS . SENT Back RB To TO Top JJ Mathematical JJ Biology NN Seminar NN Time NN . SENT Tues NP Aug NN 26 CD , , 2003 CD , , 2 CD . SENT 00 CD pm NN Location NP . SENT Rm NP 216 CD , , PIMS NP main JJ facility NN , , 1933 CD West NP Mall NP , , UBC NP Speaker NP . SENT Euiwoo NP Lee NP , , Dept NP of IN Mathematics NN , , Soongsil NP University NP , , Korea NP Title NP . SENT Singular JJ perturbation NN methods NNS in IN bursting VVG phenomenon NN Abstract JJ . SENT Neurons NNS and CC other JJ excitable JJ cells NNS often RB exhibit VV bursting VVG oscillations NNS . SENT this DT behavior NN is VBZ characterized VVN by IN alternations NNS of IN silent JJ phase NN of IN near JJ steady JJ state NN and CC active JJ phase NN of IN rapid JJ , , spike NN like IN oscillations NNS . SENT Mathematical JJ models NNS for IN bursting VVG oscillations NNS often RB display VVP a DT rich JJ structure NN of IN dynamic JJ behavior NN . SENT Besides IN periodic JJ bursting VVG oscillations NNS , , these DT systems NNS may MD exhibit VV other JJ types NNS of IN periodic JJ solutions NNS , , such JJ as IN continuous JJ spiking VVG , , as RB well RB as IN more JJR exotic JJ behavior NN including VVG chaotic JJ dynamics NNS . SENT The DT models NNS contain VVP multiple JJ time NN scales NNS and CC this DT often RB leads VVZ to TO very RB interesting JJ issues NNS related VVN to TO the DT theory NN of IN singular JJ perturbations NNS . SENT We PP introduce VV some DT different JJ classes NNS of IN bursting VVG oscillations NNS and CC discuss VV the DT underlying JJ mathematical JJ mechanisms NNS responsible JJ for IN these DT oscillations NNS . SENT Back RB To TO Top JJ Mathematical JJ Biology NN Seminar NN Time NN . SENT Thur NP Aug NN 21 CD , , 2003 CD , , 2 CD . SENT 00 CD pm NN Location NP . SENT Rm NP 216 CD , , PIMS NP main JJ facility NN , , 1933 CD West NP Mall NP , , UBC NP Speaker NP . SENT Laurent NP Pujo NP Menjouet NP and CC Samuel NP Bernard NP Centre NP for IN Nonlinear JJ Dynamics NPS , , McGill NP U NP Title NP . SENT Analysis NN of IN Cell NN Kinetics NNS Using VVG a DT Cell NN Division NP Marker NP . SENT Mathematical JJ Modeling NN of IN Experimental JJ Data NNS Abstract JJ . SENT We PP consider VVP an DT age NN maturity NN structured VVN model NN arising VVG from IN a DT blood NN cell NN proliferation NN problem NN . SENT This DT model NN is VBZ hybrid JJ i NP . SENT e SYM . SENT , , continuous JJ in IN time NN and CC age NN but CC the DT maturity NN variable NN is VBZ discrete JJ . SENT This DT is VBZ due JJ to TO the DT fact NN that IN we PP include VVP the DT cell NN division NN marker NN CarboxyFluorescein NP diacetate NN Succinimidyl NP Ester NP CFSE NP . SENT We PP use VVP our PP$ mathematical JJ analysis NN in IN conjunction NN with IN experimental JJ data NNS taken VVN from IN the DT division NN analysis NN of IN primitive JJ murine JJ bone NN marrow NN cells NNS to TO characterize VV the DT maturation NN proliferation NN process NN . SENT Cell NN cycle NN parameters NNS such JJ as IN proliferative JJ rate NN , , cell NN cycle NN duration NN , , apoptosis NN rate NN and CC loss NN rate NN can MD be VB evaluated VVN from IN CFSE NP cell NN tracking NN experiments NNS . SENT Back RB To TO Top JJ Mathematical JJ Biology NN Seminar NN Time NN . SENT Mon NP Aug NN 18 CD , , 2003 CD , , 2 CD . SENT 00 CD pm NN Location NP . SENT Rm NP 216 CD , , PIMS NP main JJ facility NN , , 1933 CD West NP Mall NP , , UBC NP Speaker NP . SENT Ryan NP Gutenkunst NP Cornell NP University NP Title NP . SENT Analysis NN of IN Movement NN pattern NN of IN Bluefin NP Tuna NP in IN homogeneous JJ and CC heterogeneous JJ environments NNS Abstract JJ . SENT Ryan NP is VBZ a DT visiting VVG graduate NN student NN working VVG with IN Nathaniel NP Newlands NP and CC Leah NP Keshet NP on IN a DT summer NN research NN project NN . SENT He PP is VBZ modelling VVG random JJ motion NN and CC comparing VVG data NNS for IN tuna NN fish NN tracks VVZ with IN the DT simulated JJ random JJ walks NNS . SENT The DT goal NN is VBZ to TO learn VV more RBR about RB how WRB to TO characterise VV aspects NNS of IN the DT individual JJ behaviour NN given VVN the DT record NN of IN the DT individual's JJ motion NN . SENT He PP will MD tell VV us PP about IN this DT project NN in IN this DT seminar NN . SENT Back RB To TO Top JJ Mathematical JJ Biology NN Seminar NN Time NN . SENT Thurs NP July NP 24 CD , , 2003 CD , , 2 CD . SENT 00 CD pm NN Location NP . SENT Note NN unusual JJ venue NN . SENT . SENT Rm NP 1102 CD , , Mathematics NN Annex NN , , UBC NP Speaker NP . SENT Nadine NP Wolff NP , , Department NP of IN Mathematics NN , , University NP of IN British NP Columbia NP Title NP . SENT Recent JJ Results NNS in IN the DT Study NN of IN Complex JJ Networks NNS Abstract JJ . SENT This DT is VBZ intended VVN to TO be VB a DT survey NN talk NN about IN the DT recent JJ results NNS in IN the DT theory NN of IN complex JJ networks NNS . SENT Many JJ real JJ world NN networks NNS can MD be VB modelled VVN using VVG graphs NNS , , and CC their PP$ structure NN can MD be VB analyzed VVN using VVG graph NN theoretical JJ results NNS . SENT Examples NNS of IN such JJ networks NNS are VBP . SENT food NN webs NNS , , communication NN networks NNS , , social JJ networks NNS , , protein NN interaction NN networks NNS , , etc FW . SENT In IN the DT past NN , , it PP was VBD thought VVN that IN random JJ graphs NNS , , which WDT are VBP nearly RB regular JJ , , provide VV sufficient JJ models NNS for IN complex JJ networks NNS . SENT However RB , , in IN the DT late JJ nineties NNS , , Barab NP si NP and CC Albert NP showed VVD that IN complex JJ networks NNS are VBP far RB from IN random JJ . SENT In IN fact NN , , we PP now RB know VVP that IN most JJS networks NNS have VHP a DT degree NN distribution NN that WDT follows VVZ a DT power NN law NN , , i NP . SENT e SYM . SENT many JJ vertices NN of IN very RB low JJ degree NN and CC few JJ vertices NN of IN very RB large JJ degree NN . SENT So IN complex JJ networks NNS are VBP best RBS modelled VVN using VVG so RB called VVN scale NN free JJ networks NNS . SENT Furthermore RB , , Watts NP and CC Strogatz NP showed VVD that DT real JJ world NN networks NNS also RB exhibit VV high JJ clustering VVG and CC short JJ characteristic JJ path NN length NN , , which WDT defines VVZ a DT class NN of IN networks NNS now RB known VVN as IN small JJ world NN networks NNS . SENT In IN the DT past JJ few JJ years NNS much JJ research NN has VHZ focused VVN on IN finding VVG models NNS that WDT display VVP both CC the DT scale NN free JJ and CC the DT small JJ world NN behavior NN to TO provide VV better JJR ways NNS to TO represent VV real JJ world NN networks NNS . SENT Attention NN has VHZ also RB been VBN drawn VVN to TO several JJ particularly RB interesting JJ properties NNS of IN real JJ world NN networks NNS such JJ as IN path NN lengths NNS , , communities NNS , , and CC connectivity NN . SENT Studying VVG these DT properties NNS promises VVZ to TO give VV insight NN into IN the DT structures NNS underlying VVG human JJ interaction NN , , gene NN interaction NN , , and CC many JJ other JJ networks NNS of IN significance NN to TO a DT wide JJ variety NN of IN fields NNS of IN research NN . SENT This DT talk NN will MD present VV an DT overview NN on IN recent JJ results NNS regarding VVG models NNS and CC properties NNS of IN small JJ world NN and CC scale VV free JJ networks NNS using VVG real JJ world NN network NN examples NNS . SENT Furthermore RB , , I PP will MD talk VV about IN the DT centrality NN of IN the DT notion NN of IN clustering VVG and CC some DT common JJ misconceptions NNS in IN the DT literature NN about IN the DT definition NN of IN the DT clustering VVG coefficient NN . SENT The DT talk NN will MD also RB give VV some DT insight NN about IN results NNS from IN algebraic JJ graph NN theory NN , , in IN particular JJ , , how WRB the DT spectra NN of IN the DT Laplacian NP and CC normal JJ matrices NNS can MD be VB used VVN to TO study VV the DT structure NN of IN complex JJ networks NNS . SENT Back RB To TO Top JJ There EX will MD be VB no DT seminar NN on IN the DT week NN of IN July NP 7 CD 11 CD due JJ to TO out RB of IN town NN events NNS . SENT Special JJ Mathematical JJ Biology NN Seminar NN Time NN . SENT Wedn NP , , July NP 2 CD , , 2003 CD , , Reception NN . SENT 4 LS . SENT 00 CD pm NN , , Seminar NN 4 CD . SENT 30 CD pm NN Location NP . SENT Rm NP 216 CD , , PIMS NP main JJ facility NN , , 1933 CD West NP Mall NP , , UBC NP Speaker NP . SENT Albert NP Goldbeter NP , , Unite VV de NP Chronobiologie NP theorique NN , , Faculte NP des NP Sciences NPS , , Universite NP Libre NP de NP Bruxelles NP , , B NP 1050 CD Brussels NP , , Belgium NP Title NP . SENT Computational JJ models NNS for IN the DT Drosophila NN and CC mammalian JJ circadian JJ clocks NNS Abstract JJ . SENT Most RBS living JJ organisms NNS are VBP capable JJ of IN displaying VVG spontaneously RB sustained VVN oscillations NNS with IN a DT period NN close NN to TO 24 CD h NN . SENT These DT circadian JJ rhythms NNS can MD occur VV in IN constant JJ environmental JJ conditions NNS , , e NN . SENT g NN . SENT constant JJ darkness NN , , and CC are VBP therefore RB endogenous JJ . SENT Recent JJ experimental JJ advances NNS have VHP shed VVN much JJ light NN on IN the DT molecular JJ mechanism NN of IN circadian JJ rhythms NNS . SENT While IN the DT most RBS studied VVN organisms NNS were VBD initially RB Drosophila NN and CC Neurospora NP , , molecular JJ studies NNS of IN circadian JJ rhythms NNS have VHP since RB been VBN extended VVN to TO cyanobacteria NNS , , plants NNS and CC mammals NNS . SENT The DT picture NN that WDT emerges VVZ from IN these DT experiments NNS is VBZ that IN in IN all DT cases NNS investigated VVD so RB far RB , , the DT molecular JJ mechanism NN of IN circadian JJ oscillations NNS relies VVZ on IN negative JJ autoregulation NN of IN gene NN expression NN . SENT I PP will MD address VV the DT mathematical JJ modeling NN of IN circadian JJ rhythms NNS , , based VVN on IN these DT experimental JJ observations NNS . SENT Three CD models NNS of IN increasing VVG complexity NN will MD be VB considered VVN . SENT The DT first JJ model NN accounts NNS for IN autonomous JJ oscillations NNS of IN the DT PER FW protein NN in IN Drosophila NN . SENT A DT second JJ model NN incorporates VVZ the DT formation NN of IN a DT complex NN between IN the DT PER IN and CC TIM NP proteins NNS and CC the DT effect NN of IN light NN , , which WDT is VBZ to TO trigger VV TIM NP degradation NN in IN Drosophila NN . SENT In IN addition NN to TO periodic JJ oscillations NNS this DT model NN predicts VVZ the DT occurrence NN of IN more JJR complex JJ dynamics NNS such JJ as IN chaos NN . SENT It PP also RB accounts VVZ for IN the DT suppression NN of IN circadian JJ rhythms NNS by IN a DT single JJ light JJ pulse NN . SENT Third JJ , , I PP will MD present VV a DT computational JJ model NN for IN the DT mammalian JJ circadian JJ clock NN based VVN on IN the DT intertwined VVN positive JJ and CC negative JJ regulatory JJ loops NNS involving VVG the DT Per IN , , Cry NN , , Bmal NP 1 CD , , Clock NP , , and CC Rev NP Erba NP genes NNS . SENT The DT model NN uncovers VVZ the DT possible JJ existence NN of IN multiple JJ sources NNS of IN oscillatory JJ behavior NN in IN the DT genetic JJ regulatory JJ network NN controlling VVG the DT circadian JJ clock NN . SENT When WRB incorporating VVG the DT light NN induced VVD expression NN of IN the DT Per IN gene NN , , the DT model NN accounts NNS for IN entrainment NN of IN the DT oscillations NNS by IN light JJ dark JJ cycles NNS and CC for IN a DT number NN of IN human JJ physiological JJ disorders NNS related VVN to TO circadian JJ rhythms NNS , , such JJ as IN advanced JJ or CC delayed JJ sleep NN phase NN syndrome NN , , or CC the DT non JJ 24 CD h NN sleep NN wake NN syndrome NN . SENT Note NN . SENT Prof NP Goldbeter NP is VBZ arriving VVG from IN a DT trans NP Atlantic NP flight NN at IN 2 CD . SENT 30 CD pm NN on IN this DT same JJ date NN . SENT We PP plan VVP to TO honor VV him PP with IN a DT reception NN around IN 4 CD . SENT 00 CD pm NN followed VVN by IN a DT seminar NN that WDT will MD start VV between IN 4 CD . SENT 30 CD and CC 5 CD . SENT 00 CD . SENT In IN the DT event NN of IN flight NN delays NNS that WDT affect VVP his PP$ arrival NN , , we PP will MD hold VV the DT reception NN in IN any DT case NN . SENT Back RB To TO Top JJ Mathematical JJ Biology NN Seminar NN Time NN . SENT Tues NP June NP 24 CD , , 2003 CD , , 2 CD . SENT 00 CD pm NN Location NP . SENT Rm NP 216 CD , , PIMS NP main JJ facility NN , , 1933 CD West NP Mall NP , , UBC NP Speaker NP . SENT Dr NP . SENT Fred NP Brauer NP , , Department NP of IN Mathematics NN , , University NP of IN British NP Columbia NP Title NP . SENT Population NN harvesting NN Abstract JJ . SENT We PP consider VVP some DT simple JJ models NNS for IN constant JJ yield NN harvesting NN of IN single JJ species NN populations NNS and CC of IN predators NNS in IN a DT predator NN prey NN system NN . SENT There EX are VBP some DT situations NNS in IN which WDT the DT critical JJ harvest NN rate NN beyond IN which WDT a DT system NN collapses NNS must MD be VB obtained VVN from IN the DT dynamics NNS of IN the DT model NN and CC is VBZ much RB smaller JJR than IN can MD be VB deduced VVN from IN equilibrium NN analysis NN . SENT Back RB To TO Top JJ Mathematical JJ Biology NN Seminar NN Time NN . SENT Thurs NP June NP 19 CD , , 2003 CD , , 2 CD . SENT 00 CD pm NN Location NP . SENT Rm NP 216 CD , , PIMS NP main JJ facility NN , , 1933 CD West NP Mall NP , , UBC NP Speaker NP . SENT Dr NP . SENT Leonardo NP Huato NP , , Vancouver NP , , B NP . SENT C SYM . SENT , , Canada NP Title NP . SENT Predicting VVG migratory JJ route NN and CC behavior NN of IN migratory JJ fishes NNS . SENT A DT fitness NN based VVN approach NN to TO the DT modelling VVG of IN the DT juvenile JJ migration NN of IN sockeye NN salmon NN . SENT Abstract JJ . SENT Here RB I PP present VV a DT modelling VVG investigation NN of IN the DT factors NNS that WDT define VV the DT migratory JJ route NN and CC behavior NN of IN sockeye NN salmon NN from IN the DT Fraser NP River NP . SENT The DT model NN is VBZ fitness NN based VVN and CC spatially RB explicit JJ , , and CC it PP is VBZ based VVN on IN the DT hypothesis NN that IN fish NN behavior NN is VBZ constrained VVN by IN the DT state NN of IN the DT individual NN and CC the DT environment NN . SENT It PP also RB has VHZ a DT trade NN off RP between IN foraging VVG time NN and CC migration NN time NN . SENT The DT environment NN here RB was VBD defined VVN as IN monthly JJ fields NNS of IN sea NN surface NN temperature NN , , currents NNS , , prey NN density NN , , and CC predation NN risk NN . SENT The DT model NN predicts VVZ the DT following VVG characteristics NNS of IN the DT sockeye NN salmon NN migration NN . SENT 1 CD Juveniles NNS migrate VV along IN the DT coast NN and CC then RB move VV into IN the DT Alaska NP Gyre NN where WRB they PP stay VVP for IN the DT rest NN of IN their PP$ oceanic JJ residence NN . SENT Model NN predictions NNS do VVP not RB support VV the DT commonly RB held VVN hypothesis NN of IN an DT annual JJ circuit NN around IN the DT Alaska NP Gyre NN . SENT 2 LS The DT juvenile JJ migration NN arises VVZ as IN a DT response NN to TO high JJ zooplankton NN density NN in IN the DT coast NN at IN the DT time NN of IN the DT migration NN , , although IN the DT high JJ risk NN of IN mortality NN there RB creates VVZ a DT bottleneck NN in IN their PP$ life NN cycle NN . SENT 3 LS The DT model NN predicts VVZ a DT seasonal JJ growth NN pattern NN as IN a DT response NN to TO the DT seasonality NN of IN zooplankton NN density NN . SENT 4 CD Juvenile JJ fish NN display VVP higher JJR swimming NN migration NN activity NN than IN adults NNS . SENT 5 CD Individuals NNS behaving VVG optimally RB distribute VV below IN observed JJ thermal JJ limits NNS , , however RB their PP$ distribution NN follows VVZ that IN of IN prey NN density NN . SENT Back RB To TO Top JJ Mathematical JJ Biology NN Seminar NN Time NN . SENT Tues NP June NP 10 CD , , 2003 CD , , 2 CD . SENT 00 CD pm NN Location NP . SENT Rm NP 216 CD , , PIMS NP main JJ facility NN , , 1933 CD West NP Mall NP , , UBC NP Speaker NP . SENT Ross NP Cressman NP , , Department NP of IN Mathematics NN , , Wilfrid NP Laurier NP University NP Title NP . SENT Coevolution NP and CC the DT Stationary JJ Density NN Surface NP Abstract JJ . SENT Coevolution NP is VBZ a DT broad JJ topic NN connecting VVG the DT study NN of IN individual JJ traits NNS within IN separate JJ biological JJ populations NNS e NN . SENT g NN . SENT separate JJ species NNS to TO the DT study NN of IN ecosystems NNS based VVN on IN interactions NNS among IN these DT populations NNS . SENT An DT early JJ success NN in IN the DT analysis NN of IN stability NN in IN coevolutionary JJ models NNS introduced VVD some DT twenty CD years NNS ago RB was VBD to TO separate VV evolutionary JJ and CC ecological JJ effects NNS by IN assuming VVG population NN densities NNS track VVP their PP$ equilibrium NN values VVZ what WP I PP call VVP the DT stationary JJ density NN surface NN for IN a DT given VVN set NN of IN species NN traits NNS . SENT This DT assumption NN is VBZ a DT more RBR sophisticated JJ version NN of IN the DT intuitively RB appealing JJ idea NN that WDT , , since IN the DT evolution NN of IN population NN densities NNS takes VVZ place NN on IN a DT much RB faster JJR time NN scale NN ecological JJ time NN than IN that DT of IN species NN traits NNS evolutionary JJ time NN , , trait NN values NNS can MD be VB taken VVN as IN fixed JJ parameters NNS when WRB studying VVG the DT evolution NN of IN population NN densities NNS or CC vice NN versa FW . SENT It PP has VHZ since RB been VBN well RB documented VVN that IN both DT assumptions NNS have VHP the DT potential NN to TO give VV misleading JJ insights NNS into IN the DT eventual JJ outcome NN of IN general JJ coevolutionary JJ systems NNS . SENT The DT main JJ purpose NN of IN this DT talk NN is VBZ to TO show VV that IN , , notwithstanding IN the DT preceding JJ statement NN , , the DT stationary JJ density NN surface NN remains VVZ of IN central JJ importance NN . SENT Moreover RB , , there EX is VBZ no DT need NN for IN some DT artificial JJ assumption NN of IN different JJ coevolutionary JJ time NN scales NNS . SENT This DT will MD initially RB be VB shown VVN by IN considering VVG coevolutionary JJ Lotka NP Volterra NP systems NNS where WRB individual JJ fitness NN functions NNS are VBP assumed VVN to TO be VB linear JJ in IN the DT population NN state NN . SENT If IN time NN permits NNS , , I PP will MD also RB connect VV the DT theory NN to TO more JJR recent JJ coevolutionary JJ models NNS based VVN on IN adaptive JJ dynamics NNS where WRB there EX continues VVZ to TO be VB a DT widespread JJ conviction NN that IN the DT stationary JJ density NN surface NN technique NN can MD be VB used VVN to TO predict VV stable JJ trait NN distributions NNS . SENT Back RB To TO Top JJ Mathematical JJ Biology NN Seminar NN Time NN . SENT Thur NP June NP 5 CD , , 2003 CD , , 2 CD . SENT 00 CD pm NN Location NP . SENT Rm NP 216 CD , , PIMS NP main JJ facility NN , , 1933 CD West NP Mall NP , , UBC NP Speaker NP . SENT Leah NP Edelstein NP Keshet NP , , University NP of IN British NP Columbia NP , , Title NP . SENT Mathematical JJ Biology NN of IN cellular JJ and CC biomedical JJ problems NNS Abstract JJ . SENT This DT is VBZ a DT practice NN talk NN , , in IN preparation NN for IN a DT lecture NN to TO be VB given VVN at IN CMS NP in IN Edmonton NP . SENT Feedback NN is VBZ desired VVN and CC would MD be VB appreciated VVN . SENT I PP will MD survey VV a DT few JJ problems NNS and CC areas NNS on IN which WDT my PP$ research NN has VHZ focused VVN in IN recent JJ years NNS . SENT One CD area NN is VBZ that IN of IN the DT molecular JJ machinary NN that WDT controlls VVZ motility NN of IN living VVG cells NNS . SENT the DT actin NN cytoskeleton NN . SENT I PP will MD describe VV how WRB work NN has VHZ proceeded VVN from IN the DT small JJ scale NN investigations NNS of IN the DT parts NNS list VVP to TO more RBR global JJ modelling VVG of IN dynamics NNS of IN actin NN filaments NNS and CC how WRB these DT lead NN to TO the DT force NN of IN protrusion NN in IN cell NN motility NN . SENT This DT work NN has VHZ been VBN joint JJ with IN G NP . SENT B SYM . SENT Ermentrout NP and CC A NP . SENT Mogilner NP I PP will MD then RB briefly RB survey VV some DT of IN the DT more RBR recent JJ biomedically RB related VVN projects NNS , , including VVG modelling VVG of IN Alzheimer's NP Disease NP joint NN with IN A DT . SENT Spiros NP and CC Type NN 1 CD Diabetes NN with IN AFM NP Maree NP and CC Diane NP Finegood NP . SENT The DT common JJ thread NN in IN the DT latter JJ projects NNS is VBZ the DT involvment NN of IN inflammation NN and CC the DT immune JJ system NN . SENT My PP$ main JJ goal NN will MD be VB to TO highlight VV the DT synergy NN between IN the DT mathematical JJ models NNS and CC insight NN or CC understanding NN of IN underlying JJ mechanisms NNS in IN the DT biological JJ systems NNS . SENT These DT project NN have VHP been VBN funded VVN by IN MITACS NP . SENT Back RB To TO Top JJ Mathematical JJ Biology NN Seminar NN Time NN . SENT Thur NP May NP 22 CD , , 2003 CD , , 2 CD . SENT 00 CD pm NN Location NP . SENT Rm NP 216 CD , , PIMS NP main JJ facility NN , , 1933 CD West NP Mall NP , , UBC NP Speaker NP . SENT Professor NP Linghai NP Zhang NP Math NP Dept NP , , Lehigh NP University NP , , Pennsylvania NP Title NP . SENT On IN the DT stability NN of IN travelling VVG wave NN solutions NNS of IN integral JJ differential JJ equations NNS arising VVG from IN synaptically RB coupled VVN neuronal JJ networks NNS Abstract JJ . SENT I PP study VVP the DT asymptotic JJ stability NN of IN traveling VVG wave NN solutions NNS of IN integral JJ differential JJ equations NNS arising VVG from IN synaptically RB coupled VVN neuronal JJ networks NNS . SENT By IN using VVG complex JJ analytic JJ functions NNS , , I PP prove VVP that IN there EX is VBZ no DT nonzero NN spectrum NN of IN some DT linear JJ operator NN L NP in IN the DT region NN Re NP lambda NN geq NP 0 CD , , and CC lambda NN 0 CD is VBZ a DT simple JJ eigenvalue NN . SENT By IN applying VVG linearized JJ stability NN criterion NN , , I PP show VVP that IN the DT traveling VVG wave NN solutions NNS are VBP asymptotically RB stable JJ . SENT Furthermore RB , , some DT explicit JJ analytic JJ functions NNS are VBP found VVN for IN a DT scalar JJ integral JJ differential NN equation NN . SENT Back RB To TO Top JJ Mathematical JJ Biology NN Seminar NN Time NN . SENT Tue NP May NP 20 CD , , 2003 CD , , 2 CD . SENT 00 CD pm NN Location NP . SENT Rm NP 216 CD , , PIMS NP main JJ facility NN , , 1933 CD West NP Mall NP , , UBC NP Speaker NP . SENT David NP Sean NP Kirby NP , , Senior JJ Fisheries NNS Scientist NN Modeller NN , , Oceanic JJ Fisheries NNS Programme NN , , Secretariat NN of IN the DT Pacific NP Community NP Noumea NP , , New NP Caledonia NP , , South NP Pacific NP Title NP . SENT Fisheries NNS Ecology NN Oceanography NN in IN the DT Western NP and CC Central NP Pacific NP Ocean NP . SENT an DT individual NN based VVD modelling VVG approach NN Abstract JJ . SENT The DT Secretariat NN of IN the DT Pacific NP Community NP is VBZ an DT International NP Organization NP providing VVG technical JJ support NN to TO Pacific NP Island NP Countries NPS and CC Territories NP across IN a DT range NN of IN sectors NNS . SENT The DT Oceanic JJ Fisheries NNS Programme NN OFP NP collects VVZ , , manages VVZ and CC analyses NNS data NNS for IN the DT Western NP and CC Central NP Pacific NP Ocean NP tuna NN fisheries NNS and CC carries VVZ out RP biological JJ research NN and CC modelling VVG studies NNS to TO further RBR understand VV the DT dynamics NNS of IN the DT resources NNS . SENT This DT talk NN presents VVZ the DT work NN of IN the DT OFP's NP Tuna NP Ecology NN and CC Biology NN TEB NN section NN with IN particular JJ emphasis NN on IN the DT development NN of IN individual JJ based VVN models NNS IBM's NP for IN the DT movement NN and CC population NN dynamics NNS of IN Pacific JJ tunas NNS . SENT The DT talk NN will MD briefly RB describe VV the DT work NN of IN the DT section NN and CC then RB focus VV on IN the DT development NN of IN an DT IBM NP for IN Pacific NP skipjack NN tuna NN , , Katsuwonus NP pelamis NNS . SENT The DT model NN has VHZ been VBN developed VVN in IN collaboration NN with IN colleagues NNS in IN Bergen NP , , Norway NP , , and CC uses VVZ the DT Lagrangian JJ IBM NP paradigm NN to TO track VV individual JJ properties NNS e NN . SENT g NN . SENT movement NN , , physiological JJ state NN , , feeding VVG history NN , , reproductive JJ activity NN of IN a DT population NN of IN model NN fish NN in IN an DT ocean NN simulated JJ by IN prior RB numerical JJ modelling VVG of IN currents NNS , , temperature NN , , primary JJ production NN and CC tuna NN forage NN . SENT Tuna NN larvae NNS behave VV as IN passive JJ drifters NNS but CC juveniles NNS and CC adults NNS exhibit NN directed VVD movement NN in IN relation NN to TO their PP$ environment NN , , location NN , , time NN and CC internal JJ state NN . SENT Movement NN and CC spawning VVG behaviour NN is VBZ output NN from IN an DT artificial JJ neural JJ network NN with IN weights NNS that WDT are VBP unique JJ to TO each DT individual NN . SENT A DT genetic JJ algorithm NN is VBZ used VVN to TO allow VV the DT weights NNS to TO be VB passed VVN on RP to TO offspring NNS by IN sexual JJ reproduction NN . SENT Therefore RB life NN cycle NN closure NN is VBZ achieved VVN and CC both DT individual JJ behaviour NN and CC large JJ scale NN spatial JJ dynamics NNS are VBP emergent JJ within IN the DT model NN without IN reference NN to TO a DT pre NP determined JJ fitness NN measure NN or CC a DT prescriptive JJ rule NN set NN . SENT The DT model NN is VBZ designed VVN for IN eventual JJ comparison NN with IN other JJ population NN dynamics NNS and CC stock NN assessment NN models NNS and CC may MD be VB used VVN to TO explore VV individual JJ behaviour NN in IN comparison NN to TO data NNS from IN archival JJ and CC conventional JJ tags NNS . SENT Back RB To TO Top JJ Mathematical JJ Biology NN Seminar NN Time NN . SENT Thurs NP May NP 1 CD , , 2003 CD , , 2 CD . SENT 00 CD pm NN Location NP . SENT Rm NP 216 CD , , PIMS NP main JJ facility NN , , 1933 CD West NP Mall NP , , UBC NP PROJECT NN PRESENTATION NN DAY NN . SENT On IN this DT day NN several JJ students NNS will MD present VV short JJ summaries NNS of IN work NN that IN they PP will MD take VV to TO the DT MITACS NP Annual NP General NP Meeting VVG in IN Ottwa NP in IN May NP 2003 CD . SENT Speaker NP . SENT Carol NP Huang NP joint JJ work NN with IN Stan NP Maree NP , , Leah NP Keshet NP Title NP . SENT A DT Cellular NP Automata NN Model NP in IN Alzheimer's NP Disease NP Senile JJ PlaqueFormation NN Abstract JJ . SENT Plaques NNS composed VVN of IN amyloid JJ beta NN , , an DT abnormal JJ fibrilar JJ protein NN , , are VBP believed VVN to TO play VV a DT major JJ role NN in IN the DT pathophysiology NN of IN Alzheimer's NP Disease NP . SENT This DT investigation NN aims VVZ to TO understand VV the DT processes NNS that WDT give VVP rise NN to TO the DT formation NN of IN Alzheimer's NP Disease NP senile JJ plaques NNS as IN a DT balance NN of IN deposition NN and CC removal NN of IN amyloid JJ beta NN . SENT By IN refining VVG previous JJ coarse JJ grained VVN simulations NNS Edelstein NP Keshet NP and CC Spiros NP , , 2002 CD to TO reveal VV more RBR accurate JJ 2 CD and CC 3 CD D NP plaque NN ultrastructure NN , , we PP hope VVP to TO investigate VV hypotheses NNS about IN the DT mechanisms NNS of IN removal NN of IN amyloid NN by IN microglia NN as RB well RB as IN details NNS of IN how WRB fiber NN deposits NNS nucleate VV further JJR deposition NN . SENT Our PP$ investigation NN starts VVZ from IN simple JJ cellular JJ automata NN simulations NNS based VVN on IN Cruz NP et CC al NP 1997 CD , , 1999 CD , , who WP modeled VVD aggregation NN disaggregation NN phenomena NNS and CC were VBD able JJ to TO produce VV plaques NNS with IN similar JJ structure NN to TO that DT of IN experimental JJ observations NNS and CC predict VVP the DT time NN dependency NN of IN amyloid JJ beta JJ deposition NN . SENT However RB , , the DT aggregation NN and CC disaggregation NN rules NNS that WDT produce VVP those DT plaques NNS remained VVD largely RB unexplained JJ . SENT We PP would MD include VV more RBR realistic JJ parameter NN values NNS from IN our PP$ previous JJ simulations NNS and CC biological JJ details NNS such JJ as IN soluble JJ amyloid JJ beta NN peptide NN diffusion NN and CC microglia NN movement NN . SENT The DT effects NNS of IN a DT rather RB artificial JJ surface NN diffusion NN mechanism NN , , which WDT is VBZ required VVN to TO form VV the DT correct JJ morphology NN of IN plaques NNS in IN the DT original JJ model NN , , will MD also RB be VB assessed VVN . SENT Speaker NP . SENT Adriana NP Dawes NP , , joint JJ with IN Stan NP Maree NP , , Leah NP Keshet NP Title NP . SENT Listeria NN Propulsion NN by IN Actin NN Polymerization NN Abstract JJ . SENT Actin NN is VBZ a DT ubiquitous JJ protein NN and CC is VBZ found VVN in IN all DT eukaryotic JJ cells NNS . SENT Pathogens NNS such JJ as IN Listeria NN hijack VV actin NN to TO propel VV themselves PP through IN infected JJ cells NNS . SENT Listeria NN , , as RB well RB as IN specially RB treated VVN polystyrene NN beads NNS , , causes VVZ the DT growth NN of IN an DT actin NN comet NN tail NN through IN the DT process NN of IN polymerization NN where WRB actin NN is VBZ built VVN into IN thin JJ filaments NNS . SENT As IN more JJR actin NN is VBZ polymerized VVN at IN the DT rear NN of IN the DT obstacle NN bacterium NN or CC bead NN , , it PP pushes VVZ the DT obstacle NN forward RB . SENT We PP use VVP a DT simple JJ mathematical JJ model NN to TO describe VV the DT dynamics NNS of IN actin NN polymerization NN on IN a DT spatial JJ grid NN to TO investigate VV this DT system NN . SENT We PP will MD look VV at IN various JJ parameters NNS and CC whether IN they PP affect VVP the DT formation NN of IN the DT actin NN comet NN tail NN and CC the DT velocity NN of IN the DT obstacle NN . SENT Speaker NP . SENT Clive NP Glover NP joint NN with IN Jamie NP Piret NP Title NP . SENT Gene NN expression NN as IN a DT means NN of IN monitoring VVG cell NN culture NN requirements NNS Abstract JJ . SENT From IN the DT emerging VVG field NN of IN cellular JJ therapy NN , , there EX is VBZ an DT increasing VVG demand NN for IN new JJ media NNS to TO provide VV optimal JJ expansion NN of IN cells NNS in IN culture NN . SENT Hematopoietic JJ stem NN cells NNS have VHP complex JJ growth NN requirements NNS and CC serum NN free JJ media NNS include VVP over IN 50 CD components NNS at IN concentrations NNS from IN near IN zero CD to TO 7 CD g NN L NP . SENT Conventionally RB , , media NNS are VBP developed VVN empirically RB , , either CC by IN depletion NN analysis NN or CC component NN addition NN to TO determine VV if IN culture NN productivity NN can MD be VB increased VVN . SENT This DT optimization NN process NN consumes VVZ valuable JJ time NN and CC labour NN . SENT We PP are VBP investigating VVG medium JJ optimization NN through IN monitoring VVG the DT gene NN expression NN profile NN of IN cells NNS in IN culture NN based VVN on IN the DT hypothesis NN that IN cells NNS experiencing VVG a DT particular JJ limitation NN will MD exhibit VV a DT characteristic JJ gene NN expression NN profile NN . SENT We PP have VHP analyzed VVN gene NN expression NN of IN human JJ TF NP 1 CD cells NNS under IN nutritional JJ stress NN and CC literature NN data NNS on IN yeast NN under IN amino NN acid NN limitations NNS . SENT The DT expression NN levels NNS of IN genes NNS in IN pathways NNS relevant JJ to TO these DT stresses NNS were VBD monitored VVN at IN several JJ time NN points NNS following VVG limitation NN exposure NN . SENT As IN part NN of IN this DT study NN we PP are VBP developing VVG statistical JJ methods NNS to TO detect VV perturbations NNS of IN entire JJ pathways NNS . SENT Rather RB than IN focusing VVG on IN differential JJ expression NN of IN individual JJ genes NNS , , we PP combine VVP p NN values NNS across IN subsets NNS of IN genes NNS , , grouped VVN using VVG gene NN ontology NN . SENT An DT attractive JJ property NN of IN this DT approach NN is VBZ the DT potential NN to TO detect VV an DT expression NN change NN for IN a DT pathway NN , , when WRB the DT gene NN specific JJ changes NNS are VBP subtle JJ . SENT Results NNS show VVP that IN genes NNS coding VVG for IN enzymes NNS involved VVN in IN the DT biosynthesis NN of IN limiting VVG nutrients NNS are VBP generally RB upregulated JJ . SENT In IN TF NP 1 CD cells NNS exposed VVN to TO limiting VVG glucose NN , , genes NNS coding VVG for IN three CD key JJ regulatory JJ enzymes NNS in IN the DT glycolysis NN pathway NN hexokinase NN , , phosphofructokinase NN and CC pyruvate JJ kinase NN were VBD significantly RB upregulated JJ . SENT Furthermore RB , , yeast NN exposed VVN to TO histidine NN starvation NN showed VVD a DT strong JJ upregulation NN in IN genes NNS involved VVN in IN both CC the DT histidine NN and CC arginine NN biosynthesis NN pathways NNS . SENT Genes NNS involved VVN in IN protein NN biosynthesis NN were VBD downregulated VVN upon IN amino NN acid NN limitation NN . SENT In IN the DT latter JJ case NN , , while IN individual JJ genes NNS did VVD not RB show VV statistically RB significant JJ shifts NNS , , statistical JJ confidence NN was VBD obtained VVN from IN the DT pattern NN observed VVD in IN functionally RB related VVN genes NNS . SENT Ultimately RB the DT knowledge NN developed VVN by IN this DT work NN should MD contribute VV to TO the DT development NN of IN diagnostic JJ tools NNS for IN monitoring VVG and CC rapidly RB optimizing VVG stem NN cell NN cultures NNS . SENT Back RB To TO Top JJ Mathematical JJ Biology NN Seminar NN Time NN . SENT Thurs NP April NP 17 CD , , 2003 CD , , 2 CD . SENT 00 CD pm NN Location NP . SENT Rm NP 216 CD , , PIMS NP main JJ facility NN , , 1933 CD West NP Mall NP , , UBC NP Speaker NP . SENT Dr NP . SENT Nathaniel NP Newlands NP , , Department NP of IN Mathematics NN , , UBC NP Title NP . SENT Fishery NN independent JJ abundance NN estimation NN of IN Atlantic NP bluefin NN tuna NN Thunnus NP thynnus NN in IN the DT Gulf NP of IN Maine NP . SENT integrating VVG tracking NN , , tagging VVG and CC aerial JJ survey NN data NNS Abstract JJ . SENT From IN 1993 CD 1997 CD , , the DT New NP England NP Aquarium NN conducted VVD fishery NN linked VVD aerial JJ surveys NNS with IN spotter NN pilots NNS to TO document VV the DT surface NN abundance NN , , distribution NN , , and CC environmental JJ associations NNS of IN bluefin NN tuna NN schools NNS in IN the DT Gulf NP of IN Maine NP . SENT The DT long JJ term NN goal NN of IN this DT program NN is VBZ to TO develop VV fishery NN independent JJ estimates NNS of IN abundance NN . SENT Information NN obtained VVD by IN direct JJ monitoring NN of IN surface NN schools NNS allowed VVD us PP to TO conduct VV spatial JJ analyses NNS , , modeling NN and CC simulations NNS that WDT are VBP not RB usually RB available JJ in IN CPUE NP based VVN approaches NNS . SENT Our PP$ presentation NN will MD address VV measurement NN bias NN and CC uncertainty NN in IN population NN abundance NN estimation NN from IN bluefin NN tuna NN movement NN , , spatial JJ aggregation NN and CC distribution NN data NNS . SENT We PP used VVD an DT integrated JJ approach NN to TO analyze VV , , calibrate VV , , and CC correct VV the DT aerial JJ survey NN data NNS in IN order NN to TO obtain VV more JJR reliable JJ estimates NNS of IN regional JJ abundance NN . SENT Bias NN and CC uncertainty NN in IN the DT size NN and CC aggregation NN of IN schools NNS were VBD directly RB estimated VVN from IN the DT survey NN data NNS , , adjusted VVN by IN additional JJ data NNS on IN movements NNS and CC dispersal NN from IN electronic JJ and CC hydro JJ acoustic JJ tagging VVG studies NNS . SENT Results NNS of IN simulations NNS will MD be VB presented VVN for IN different JJ survey NN designs NNS , , including VVG random JJ , , systematic JJ , , stratified VVD , , adaptive JJ and CC spotter NN search NN aerial JJ sampling NN . SENT Recommendations NNS for IN achieving VVG greater JJR precision NN in IN abundance NN estimation NN in IN aerial JJ surveys NNS will MD be VB discussed VVN . SENT The DT work NN demonstrates VVZ how WRB fishery NN independent JJ data NNS can MD be VB integrated VVN to TO provide VV more JJR reliable JJ estimates NNS of IN bluefin NN tuna NN abundance NN , , and CC a DT broader JJR understanding NN of IN spatial JJ heterogeneity NN in IN fish NN populations NNS . SENT This DT talk NN will MD be VB presented VVN at IN the DT International NP Tuna NP Conference NP , , Lake NP Arrowhead NN , , CA MD , , U NP . SENT S NP . SENT A DT . SENT May NP , , 2003 CD . SENT 20 CD minutes NNS . SENT Feedback NN and CC comments NNS are VBP welcomed VVN . SENT Back RB To TO Top JJ Mathematical JJ Biology NN Seminar NN Time NN . SENT Thurs NP April NP 10 CD , , 2003 CD , , 2 CD . SENT 00 CD pm NN Location NP . SENT Rm NP 216 CD , , PIMS NP main JJ facility NN , , 1933 CD West NP Mall NP , , UBC NP Speaker NP . SENT Dr NP . SENT Chad NP Topaz NN , , Department NP of IN Mathematics NN , , Duke NP University NP Title NP . SENT Dynamics NNS of IN a DT two CD dimensional JJ continuum NN model NN for IN swarming VVG Abstract JJ . SENT A DT biological JJ swarm NN is VBZ a DT group NN of IN organisms NNS undergoing VVG large JJ scale NN coordinated VVN movement NN . SENT Typically RB , , this DT movement NN is VBZ not RB due JJ to TO centralized JJ control NN , , but CC rather RB to TO social JJ interactions NNS which WDT occur VVP on IN a DT length NN scale NN smaller JJR than IN that DT of IN the DT global JJ swarm NN formation NN . SENT Swarms NNS occur VVP in IN populations NNS of IN ants NNS , , locusts NNS , , fish NN , , birds NNS , , wolves NNS , , and CC others NNS , , and CC are VBP often RB observed VVN to TO have VH sharp JJ boundaries NNS and CC a DT roughly RB spatially RB constant JJ population NN density NN . SENT In IN this DT talk NN , , I PP will MD discuss VV preliminary JJ results NNS for IN a DT simple JJ continuum NN model NN for IN swarming VVG in IN two CD dimensions NNS . SENT The DT population NN density NN rho NN satisfies VVZ an DT advection NN equation NN . SENT The DT velocity NN depends VVZ nonlocally RB on IN rho NN by IN means NNS of IN a DT convolution NN with IN a DT spatially RB decaying VVG kernel NN K NN , , which WDT describes VVZ the DT social JJ interaction NN between IN organisms NNS . SENT Using VVG the DT Hodge NP decomposition NN theorem NN , , the DT velocity NN field NN may MD be VB decomposed VVN into IN a DT divergence NN free JJ component NN and CC a DT gradient JJ component NN . SENT This DT framework NN provides VVZ a DT convenient JJ way NN to TO characterize VV the DT two CD dimensional JJ dynamics NNS . SENT The DT gradient JJ component NN controls VVZ the DT expansion NN or CC contraction NN of IN the DT population NN , , while IN the DT divergence NN free JJ component NN is VBZ responsible JJ for IN its PP$ rotational JJ motion NN . SENT Numerical JJ simulations NNS of IN the DT model NN reveal VV vortex NN states NNS similar JJ to TO those DT observed VVN in IN nature NN . SENT Back RB To TO Top JJ Mathematical JJ Biology NN Seminar NN Time NN . SENT Thurs NP April NP 3 CD , , 2003 CD , , 2 CD . SENT 00 CD pm NN Location NP . SENT Rm NP 216 CD , , PIMS NP main JJ facility NN , , 1933 CD West NP Mall NP , , UBC NP Speaker NP . SENT Dr NP . SENT Daniel NP Promislow NP , , Title NP . SENT A DT network NN perspective NN on IN the DT evolutionary JJ genetics NN of IN aging VVG Abstract JJ . SENT Classical JJ evolutionary JJ theories NNS of IN aging VVG make VV few JJ assumptions NNS about IN how WRB many JJ genes NNS are VBP involved VVN in IN the DT aging VVG process NN , , or CC about IN the DT magnitude NN of IN their PP$ effects NNS on IN rates NNS of IN aging VVG . SENT I PP will MD discuss VV my PP$ recent JJ work NN with IN gene NN networks NNS . SENT This DT work NN is VBZ an DT attempt NN to TO create VV a DT more RBR genetically RB realistic JJ model NN for IN the DT evolution NN of IN aging VVG . SENT In IN addition NN , , I PP will MD discuss VV ways NNS in IN which WDT we PP might MD use VV networks NNS to TO aid VV molecular JJ biologists NNS in IN predicting VVG what WP types NNS of IN genes NNS might MD influence VV longevity NN . SENT Back RB To TO Top JJ Mathematical JJ Biology NN Seminar NN Time NN . SENT Thurs NP March NP 20 CD , , 2003 CD , , 2 CD . SENT 00 CD pm NN Location NP . SENT Rm NP 216 CD , , PIMS NP main JJ facility NN , , 1933 CD West NP Mall NP , , UBC NP Speaker NP . SENT Dr NP . SENT Fred NP Brauer NP , , Department NP of IN Mathematics NN , , UBC NP Title NP . SENT Backward RB Bifurcations NNS in IN Simple JJ Vaccination NN Models NNS Abstract JJ . SENT We PP describe VVP and CC analyze VVP by IN elementary JJ methods NNS some DT simple JJ models NNS for IN disease NN transmission NN with IN vaccination NN . SENT In IN particular JJ , , we PP give VVP conditions NNS for IN the DT existence NN of IN multiple JJ endemic JJ equilibria NN and CC backward RB bifurcations NNS . SENT We PP also RB extend VVP the DT results NNS to TO include VV the DT possibility NN of IN adaptive JJ systems NNS in IN which WDT the DT parameter NN values NNS may MD depend VV on IN the DT level NN of IN infection NN . SENT Back RB To TO Top JJ Mathematical JJ Biology NN Seminar NN Time NN . SENT WEDN NP . SENT March NP 12 CD , , 2003 CD , , 2 CD . SENT 00 CD pm NN Location NP . SENT Rm NP 216 CD , , PIMS NP main JJ facility NN , , 1933 CD West NP Mall NP , , UBC NP Speaker NP . SENT Dr NP . SENT Anders NP E NP . SENT Carlsson NP , , Department NP of IN Physics NN , , Washington NP University NP , , St NP . SENT Louis NP , , Missouri NP Title NP . SENT Growth NN of IN Branched VVN Actin NN Networks NNS . SENT Theory NN and CC Simulation NP Abstract JJ . SENT Actin NN filaments NNS often RB form VVP branched VVN network NN structures NNS which WDT provide VVP stable JJ propulsion NN for IN cells NNS or CC for IN intracellular JJ parasites NNS such JJ as IN Listeria NN . SENT We PP study VVP the DT growth NN of IN such JJ networks NNS using VVG a DT combination NN of IN stochastic JJ simulation NN and CC kinetic JJ rate NN equations NNS . SENT The DT stochastic JJ simulations NNS use VVP a DT model NN of IN static JJ , , rigid JJ filaments NNS to TO which WDT monomers NNS and CC branches NNS are VBP added VVN at IN random JJ positions NNS according VVG to TO specified JJ rates NNS . SENT They PP show VVP that IN a DT simple JJ model NN based VVN on IN five CD basic JJ unit NN processes NNS produces VVZ three CD dimensional JJ network NN structures NNS quite RB similar JJ to TO those DT observed VVN by IN electron NN microscopy NN . SENT Surprisingly RB , , the DT growth NN velocity NN of IN the DT network NN is VBZ independent JJ of IN the DT opposing VVG force NN , , even RB though IN the DT velocity NN of IN a DT free JJ filament NN depends VVZ exponentially RB on IN the DT force NN . SENT To TO understand VV this DT effect NN , , we PP study VVP a DT rate NN equation NN model NN based VVN on IN the DT density NN of IN free JJ filament NN tips NNS near IN the DT cell NN membrane NN or CC intracellular JJ pathogen NN . SENT The DT force NN independence NN of IN the DT velocity NN results NNS from IN the DT linearity NN of IN the DT rate NN equation NN , , and CC holds VVZ under IN a DT broad JJ range NN of IN plausible JJ assumptions NNS . SENT Experiments NNS testing VVG the DT predictions NNS are VBP proposed VVN . SENT Back RB To TO Top JJ Mathematical JJ Biology NN Seminar NN Time NN . SENT Thurs NP March NP 6 CD , , 2003 CD , , 2 CD . SENT 00 CD pm NN Location NP . SENT Rm NP 216 CD , , PIMS NP main JJ facility NN , , 1933 CD West NP Mall NP , , UBC NP Speaker NP . SENT Dr NP . SENT Stan NP Mar NP e NN , , Department NP of IN Mathematics NN , , UBC NP Title NP . SENT Modelling VVG Slime NN Mould NP Morphogenesis NN . SENT the DT Culmination NN Abstract JJ . SENT Culmination NN of IN the DT morphogenesis NN of IN the DT cellular JJ slime NN mould NN Dictyostelium NN discoideum NN involves VVZ complex JJ cell NN movements NNS which WDT transform VV a DT mound NN of IN cells NNS into IN a DT globule NN of IN spores NNS on IN a DT slender JJ stalk NN . SENT The DT movement NN has VHZ been VBN likened VVN to TO a DT reverse JJ fountain NN , , whereby WRB prestalk NN cells NNS in IN the DT upper JJ part NN form NN a DT stalk NN that WDT moves VVZ downwards RB and CC anchors VVZ itself PP to TO the DT substratum NN , , while IN prespore NN cells NNS in IN the DT lower JJR part NN move NN upwards RB to TO form VV the DT spore NN head NN . SENT We PP will MD demonstrate VV that IN the DT processes NNS that WDT are VBP essential JJ during IN the DT earlier JJR stages NNS of IN the DT morphogenesis NN are VBP in IN fact NN sufficient JJ to TO produce VV the DT dynamics NNS of IN the DT culmination NN stage NN . SENT These DT processes NNS are VBP cyclic JJ AMP NN signalling VVG , , differential JJ adhesion NN , , cell NN differentiation NN and CC production NN of IN ECM NP . SENT We PP have VHP simulated JJ the DT culmination NN using VVG a DT hybrid NN CA MD PDE NP model NN . SENT In IN the DT model NN , , individual JJ cells NNS are VBP represented VVN as IN a DT group NN of IN connected JJ automata NN , , i NP . SENT e SYM . SENT the DT basic JJ scale NN of IN the DT model NN is VBZ subcellular JJ . SENT Initially RB we PP simulated JJ in IN 2 CD D NP , , describing VVG transverse JJ sections NNS through IN the DT culminant JJ . SENT Recently RB we PP have VHP extended VVN the DT model NN to TO 3 CD D NP , , in IN order NN to TO prove VV feasibility NN of IN the DT full JJ model NN , , and CC to TO open VV the DT road NN to TO describe VV the DT whole JJ development NN as IN one CD continuous JJ process NN . SENT With IN our PP$ model NN we PP are VBP able JJ to TO reproduce VV the DT main JJ features NNS that WDT occur VVP during IN culmination NN , , namely RB the DT straight JJ downward JJ elongation NN of IN the DT stalk NN , , its PP$ anchoring VVG to TO the DT substratum NN and CC the DT formation NN of IN the DT long JJ thin JJ stalk NN topped VVD by IN the DT spore NN head NN . SENT We PP show VVP that IN periodic JJ upward JJ movements NNS , , due JJ to TO chemotactic JJ motion NN , , are VBP essential JJ for IN successful JJ culmination NN , , because IN the DT pressure NN waves NNS they PP induce VV squeeze VV the DT stalk NN downwards RB through IN the DT cell NN mass NN , , a DT mechanism NN which WDT has VHZ a DT number NN of IN self NN organising VVG and CC self NN correcting VVG properties NNS and CC can MD explain VV many JJ experimental JJ observations NNS . SENT Back RB To TO Top JJ IAM NP Stats NNS Seminar NN Time NN . SENT Mon NP Jan NP 27 CD , , 2003 CD , , 3 CD . SENT 00 CD pm NN Location NP . SENT Rm NP 301 CD , , Leonard NP Klink NP bldg NN IAM NP PIMS NP Distinguished VVD Colloquium NN Speaker NP . SENT Leon NP Glass NP , , Physiology NN , , McGill NP Title NP . SENT Dynamics NPS of IN Genetic NP Networks NPS Back RB To TO Top JJ Mathematical JJ Biology NN Seminar NN Time NN . SENT Tues NP Jan NP 21 CD , , 2003 CD , , 10 CD . SENT 00 CD am RB Location NP . SENT Room NN WMAX NP 240 CD , , 1933 CD West NP Mall NP down IN the DT hall NN from IN PIMS NP seminar NN room NN Speaker NP . SENT Dan NP Coombs NP , , Theoretical JJ Biology NN and CC Biophysics NN Group NP , , Los NP Alamos NP National NP Laboratory NP Title NP . SENT Modeling VVG T NN Cell NN Activation NN Abstract JJ . SENT In IN this DT talk NN I PP will MD present VV some DT ways NNS in IN which WDT mathematical JJ modeling NN has VHZ been VBN helpful JJ in IN studying VVG T NN cell NN activation NN , , and CC outline VV challenges NNS for IN the DT future NN . SENT No DT prior JJ knowledge NN of IN the DT immune JJ system NN will MD be VB assumed VVN . SENT The DT activation NN of IN T NN cells NNS is VBZ an DT essential JJ part NN of IN the DT immune JJ response NN to TO viruses NNS and CC bacteria NNS . SENT Fragments NNS antigens NNS of IN these DT enemies NNS are VBP presented VVN to TO T NN cells NNS on IN the DT surfaces VVZ of IN antigen NN presenting VVG cells NNS , , but CC an DT individual JJ T NN cell NN carries VVZ receptors NNS TCR NP that WDT recognize VVP only RB a DT few JJ possible JJ antigens NNS . SENT After IN the DT T NN cell NN becomes VVZ activated VVN , , it PP may MD kill VV the DT presenting VVG cell NN in IN the DT case NN of IN viral JJ infection NN or CC activate VV other JJ components NNS of IN the DT immune JJ system NN in IN the DT case NN of IN bacterial JJ infection NN . SENT Activation NN appears VVZ to TO rely VV on IN the DT formation NN of IN a DT stable JJ region NN of IN close JJ apposition NN between IN the DT cells NNS , , termed VVD the DT immunological JJ synapse NN . SENT Within IN the DT synapse NN , , each DT TCR NP may MD individually RB be VB activated VVN and CC labeled VVN for IN internalization NN by IN interaction NN with IN presented VVN antigen NN . SENT A DT key JJ parameter NN controlling VVG individual JJ TCR NP activation NN and CC internalization NN is VBZ the DT lifetime NN of IN the DT bond NN between IN the DT TCR NP and CC a DT presented VVN antigen NN . SENT We PP have VHP developed VVN a DT mathematical JJ model NN consisting VVG of IN reaction NN diffusion NN equations NNS describing VVG spatial JJ and CC temporal JJ changes NNS that WDT take VVP place NN within IN the DT synapse NN . SENT From IN comparison NN of IN model NN predictions NNS with IN experimental JJ data NNS , , we PP draw VVP conclusions NNS about IN the DT requirements NNS for IN T NN cell NN activation NN as RB well RB as IN the DT cellular JJ internalization NN and CC degradation NN of IN TCR NP . SENT Back RB To TO Top JJ Mathematics NN Colloquium NN Time NN . SENT Mon NP Jan NP 20 CD , , 2003 CD , , Time NP . SENT 4 LS . SENT 00 CD pm NN Location NP . SENT Math NP 203 NP Speaker NP . SENT Dan NP Coombs NP , , Theoretical JJ Biology NN and CC Biophysics NN Group NP , , Los NP Alamos NP National NP Laboratory NP Title NP . SENT Chirality NN Inversions NNS Propagating VVG on IN Bacterial JJ Flagella NNS Abstract JJ . SENT Many JJ experimental JJ investigations NNS have VHP shown VVN that IN bacterial JJ flagella NNS the DT long JJ , , whip NN like IN structures NNS that WDT provide VVP thrust NN during IN swimming VVG take VV on IN a DT variety NN of IN helical JJ forms NNS under IN differing VVG mechanical JJ and CC chemical JJ conditions NNS . SENT During IN the DT 1980 CD s PP a DT series NN of IN experiments NNS examined VVD the DT response NN of IN a DT single JJ , , detached VVN flagellum NN to TO simple JJ fluid JJ stresses NNS . SENT In IN particular JJ , , when WRB a DT flagellum NN is VBZ clamped VVN at IN one CD end NN and CC placed VVN in IN an DT axial JJ external JJ flow NN , , it PP is VBZ observed VVN that IN regions NNS of IN the DT flagellum NN transform VV to TO the DT opposite JJ chirality NN and CC travel NN as RB pulses VVZ down RP the DT length NN of IN the DT filament NN , , the DT process NN repeating VVG periodically RB . SENT We PP propose VVP a DT theory NN for IN this DT phenomenon NN based VVN on IN a DT treatment NN of IN the DT flagellum NN as IN an DT elastic JJ object NN with IN multiple JJ stable JJ configurations NNS . SENT This DT theory NN is VBZ expressed VVN in IN terms NNS of IN coupled VVN PDEs NNS for IN the DT filament NN shape NN and CC twist NN configuration NN , , and CC involves VVZ only RB physical JJ , , measurable JJ properties NNS of IN the DT flagellum NN . SENT We PP generate VVP simulations NNS that WDT quantitatively RB reproduce VV key JJ features NNS seen VVN in IN experiment NN . SENT Back RB To TO Top JJ Mathematical JJ Biology NN Seminar NN Time NN . SENT Thurs NP Jan NP 16 CD , , 2003 CD , , 2 CD . SENT 00 CD pm NN Location NP . SENT Rm NP 216 CD , , PIMS NP main JJ facility NN , , 1933 CD West NP Mall NP , , UBC NP Speaker NP . SENT Peter NP J NP . SENT Thomas NP , , Computational JJ Neurobiology NN Laboratory NP , , The DT Salk NP Institute NP for IN Biological NP Studies NPS . SENT Title NN . SENT Inside IN the DT Mind NN of IN the DT Amoeba NN . SENT Simulation NP and CC Analysis NP of IN Biochemical NP Signal NP Transduction NN Networks NNS . SENT Abstract JJ . SENT In IN lieu NN of IN nervous JJ systems NNS , , single JJ celled JJ organisms NNS use VVP complex JJ networks NNS of IN biochemical JJ reactions NNS to TO sense VV the DT world NN around IN them PP , , make VV decisions NNS , , and CC take VV action NN . SENT A DT wealth NN of IN quantitative JJ biological JJ data NNS from IN bioinformatics NNS to TO fluorescence NN microscopy NN has VHZ created VVN the DT possibility NN of IN building VVG biophysically RB realistic JJ models NNS of IN the DT information NN processing NN occurring VVG inside JJ cells NNS , , in IN analogy NN to TO models NNS of IN biological JJ neural JJ networks NNS . SENT Biochemical JJ networks NNS present VVP several JJ unique JJ mathematical JJ challenges NNS . SENT Chemical NN reactants NNS are VBP localized VVN within IN subcellular JJ volumes NNS , , requiring VVG PDE NP rather RB than IN ODE NN treatments NNS of IN their PP$ behavior NN . SENT Small JJ numbers NNS of IN interacting VVG molecules NNS make VV the DT typical JJ biochemical JJ network NN inherently RB noisy JJ , , leading VVG us PP to TO consider VV approximations NNS to TO stochastic JJ PDEs NNS . SENT Finally RB , , chemical NN systems NNS typically RB occupy VV state NN spaces NNS of IN large JJ dimension NN , , forcing VVG us PP to TO look VV for IN effective JJ means NNS of IN coarse JJ graining NN the DT representation NN of IN chemical NN states NNS . SENT We PP have VHP constructed VVN a DT finite JJ element NN model NN for IN solving VVG arbitrary JJ boundary NN coupled VVN PDEs NP as IN a DT platform NN for IN studying VVG spatially RB heterogeneous JJ signal NN transduction NN networks NNS , , and CC used VVD it PP to TO develop VV a DT model NN for IN the DT orienting VVG response NN of IN a DT eukaryotic JJ cell NN during IN directed VVN cell NN movement NN chemotaxis NN . SENT We PP are VBP building VVG on IN this DT finite JJ element NN framework NN to TO accommodate VV the DT effects NNS of IN fluctuations NNS as IN an DT approach NN to TO stochastic JJ PDEs NNS , , and CC as IN a DT way NN of IN formalizing VVG dimension NN reduction NN of IN chemical JJ state NN spaces NNS . SENT Eukaryotic JJ chemotaxis NN will MD also RB be VB discussed VVN in IN the DT context NN of IN Turing NP pattern NN formation NN in IN the DT 1 CD 15 CD Wednesday NP Mathematics NN Colloquium NN . SENT Back RB To TO Top JJ Mathematics NN Colloquium NN Time NN . SENT Wedn NP Jan NP 15 CD , , 2003 CD , , 3 CD . SENT 00 CD pm NN Location NP . SENT Math NN Annex NN 1100 CD Speaker NP . SENT Peter NP J NP . SENT Thomas NP , , Computational JJ Neurobiology NN Laboratory NP , , The DT Salk NP Institute NP for IN Biological NP Studies NPS Title NP . SENT Applications NNS of IN Turing NP Pattern NN Formation NN , , from IN Geometric JJ Visual NP Hallucinations NNS to TO Eukaryotic JJ Chemotaxis NN . SENT Abstract JJ . SENT In IN 1952 CD Alan NP Turing NP proposed VVD a DT mechanism NN for IN the DT development NN of IN spatial JJ patterns NNS , , such JJ as IN animal JJ coat NN patterns NNS , , from IN spatially RB homogeneous JJ initial JJ conditions NNS , , such JJ as IN a DT presumably RB uniform JJ embryo NN . SENT Many JJ systems NNS have VHP invited VVN analogous JJ treatments NNS , , from IN segmentation NN of IN the DT Drosophila NN embryo NN to TO Meinhardt's NP model NN for IN establishing VVG direction NN in IN eukaryotic JJ chemotaxis NN . SENT The DT two CD essential JJ elements NNS underlying VVG the DT Turing NP mechanism NN , , a DT short JJ range NN activator NN and CC a DT long JJ range NN inhibitor NN , , have VHP not RB always RB been VBN easily RB identified VVN as IN the DT biology NN underlying VVG pattern NN formation NN becomes VVZ better RBR understood VVN . SENT In IN this DT talk NN I PP will MD explore VV two CD systems NNS in IN which WDT the DT biological JJ details NNS gave VVD new JJ insights NNS into IN the DT possibilities NNS of IN pattern NN formation NN . SENT In IN the DT cerebral JJ cortex NN , , the DT local JJ connectivity NN of IN nervous JJ tissue NN gives VVZ an DT effective JJ long JJ range NN inhibitory JJ and CC short JJ range NN excitatory NN interaction NN that WDT can MD lead VV to TO the DT creation NN of IN spontaneous JJ patterned VVN activity NN in IN the DT cortical JJ sheet NN . SENT In IN the DT visual JJ cortex NN this DT spontaneous JJ activity NN gives VVZ rise NN to TO a DT distinct JJ set NN of IN geometric JJ visual JJ hallucinations NNS . SENT Careful JJ analysis NN of IN the DT geometry NN of IN cortical JJ connectivity NN allows VVZ classification NN of IN the DT observed JJ patterns NNS in IN terms NNS of IN a DT particular JJ class NN of IN subgroups NNS of IN the DT Euclidean JJ motions NNS of IN the DT plane NN . SENT As IN a DT second JJ example NN , , I PP will MD return VV to TO the DT problem NN of IN eukaryotic JJ chemotaxis NN . SENT An DT unbiased JJ single JJ celled JJ organism NN must MD respond VV to TO a DT weak JJ gradient NN of IN a DT chemical NN attractant NN , , organizing VVG its PP$ internal JJ chemistry NN in IN order NN to TO initiate VV movement NN in IN the DT direction NN of IN the DT gradient JJ chemotaxis NN . SENT Using VVG data NNS from IN mutant JJ cells NNS showing VVG anomalous JJ chemotaxis NN , , we PP have VHP identified VVN a DT rapidly RB diffusing VVG intracellular JJ inhibitory JJ molecule NN that WDT facilitates VVZ sharpening VVG of IN the DT directional JJ response NN . SENT In IN addition NN to TO amplifying VVG the DT weak JJ spatial JJ gradient NN signal NN , , this DT variant NN of IN the DT Turing NP mechanism NN also RB exploits VVZ timing NN characteristics NNS of IN the DT extracellular JJ signal NN . SENT The DT Mathematical JJ Biology NN Seminar NN on IN Thursday NP 1 CD 16 CD will MD discuss VV biochemical JJ networks NNS in IN more JJR detail NN . SENT Back RB To TO Top JJ Mathematical JJ Biology NN Seminar NN Time NN . SENT Tues NP Jan NP 14 CD , , 2003 CD , , 2 CD . SENT 00 CD pm NN Location NP . SENT Rm NP 216 CD , , PIMS NP main JJ facility NN , , 1933 CD West NP Mall NP , , UBC NP Speaker NP . SENT Duane NP Nykamp NP , , UCLA NP Mathematics NN Department NP Title NP . SENT Assessing VVG the DT inherent JJ nonlinearity NN of IN visual JJ neurons NNS . SENT simple JJ cells NNS versus CC complex JJ cells NNS Abstract JJ . SENT Investigators NNS typically RB divide VVP neurons NNS of IN the DT primary JJ visual JJ cortex NN V NN 1 CD into IN two CD classes NNS . SENT simple JJ and CC complex JJ . SENT Neurons NNS with IN an DT approximately RB linear JJ response NN to TO a DT visual JJ stimulus NN are VBP classified VVN as IN simple JJ . SENT the DT remainder NN are VBP classified VVN as IN complex NN . SENT Standard JJ analysis NN methods NNS lead VVP to TO the DT view NN that IN V NN 1 CD neurons NNS fall VVP neatly RB into IN these DT two CD categories NNS . SENT I PP develop VVP a DT method NN to TO analyze VV neural JJ response NN based VVN on IN an DT explicit JJ mathematical JJ model NN that WDT captures VVZ the DT nonlinear JJ sign NN independence NN of IN an DT idealized VVN complex JJ cell NN . SENT When WRB V NN 1 CD neurons NNS are VBP analyzed VVN by IN this DT method NN , , one PP observes VVZ evidence NN of IN a DT broad JJ continuum NN of IN nonlinear JJ response NN without IN a DT division NN into IN two CD discrete JJ classes NNS . SENT Discrete JJ classes NNS are VBP observed VVN with IN standard JJ analysis NN methods NNS because IN the DT methods NNS do VVP not RB account VV for IN the DT effect NN of IN a DT spike NN generating NN nonlinearity NN . SENT I PP discuss VVP how WRB this DT modeling NN approach NN can MD be VB used VVN to TO better RBR understand VV the DT nonlinear JJ response NN properties NNS of IN visual JJ and CC other JJ stimulus NN driven VVN neurons NNS . SENT Back RB To TO Top JJ Mathematics NN Colloquium NN Time NN . SENT Mon NP Jan NP 13 CD , , 2003 CD Time NN . SENT 4 LS . SENT 00 CD pm NN Location NP . SENT Math NP 203 NP Speaker NP . SENT Duane NP Nykamp NP , , UCLA NP Mathematics NN Department NP Title NP . SENT Reconstructing VVG the DT coupling NN of IN neurons NNS from IN spike NN times NNS Abstract JJ . SENT Reconstructing VVG the DT connectivity NN patterns NNS of IN neural JJ networks NNS in IN higher JJR organisms NNS has VHZ been VBN a DT formidable JJ challenge NN . SENT Most JJS neurophysiology NN data NNS consist VVP only RB of IN spike NN times NNS , , and CC current JJ analysis NN methods NNS are VBP unable JJ to TO resolve VV the DT ambiguity NN in IN connectivity NN patterns NNS that WDT could MD lead VV to TO such JJ data NNS . SENT I PP present VVP a DT new JJ method NN that WDT can MD determine VV the DT presence NN of IN a DT connection NN between IN two CD neurons NNS from IN the DT spike NN times NNS of IN the DT neurons NNS in IN response NN to TO spatiotemporal JJ white JJ noise NN . SENT The DT method NN successfully RB distinguishes VVZ such PDT a DT direct JJ connection NN from IN common JJ input NN originating VVG from IN other JJ , , unmeasured JJ neurons NNS . SENT Although IN the DT method NN is VBZ based VVN on IN a DT highly RB idealized VVN linear JJ nonlinear JJ approximation NN of IN neural JJ response NN , , simulations NNS demonstrate VVP that IN the DT approach NN can MD work VV with IN a DT more RBR realistic JJ , , integrate VV and CC fire VV neuron NN model NN . SENT I PP propose VVP that IN the DT approach NN exemplified VVN by IN this DT analysis NN may MD yield VV viable JJ tools NNS for IN reconstructing VVG neural JJ networks NNS from IN data NNS gathered VVN in IN neurophysiology NN experiments NNS . SENT Back RB To TO Top JJ Mathematics NN Colloquium NN Time NN . SENT Fri NP Jan NP 10 CD , , 2003 CD . SENT 3 LS . SENT 00 CD pm NN Location NP . SENT Math NN Annex NN 1100 CD Speaker NP . SENT Eric NP Cytrynbaum NP , , Mathematics NN Dept NP , , UC NP Davis NP Title NP . SENT Aggregation NN and CC centering VVG in IN fish NN melanophore NN cells NNS a DT quantitative JJ exploration NN of IN cytoskeletal JJ dynamics NNS Abstract JJ . SENT I PP study VVP a DT process NN of IN self NN organization NN that WDT occurs VVZ inside IN a DT cell NN called VVD a DT fish NN melanophore NN in IN which WDT pigment NN particles NNS are VBP seen VVN to TO aggregate NN . SENT The DT process NN is VBZ mediated VVN by IN subcellular JJ components NNS called VVD microtubules NNS , , which WDT form VVP part NN of IN the DT cytoskeleton NN . SENT The DT same JJ components NNS are VBP at IN work NN in IN the DT centering VVG of IN chromosomes NNS during IN cell NN division NN , , and CC therefore RB provide VV a DT good JJ warmup NNS problem NN for IN that DT more RBR complicated JJ but CC fundamentally RB important JJ biological JJ process NN . SENT When WRB a DT fragment NN of IN the DT cell NN is VBZ excised VVN to TO eliminate VV the DT centrosome NN the DT regular JJ cytoskeletal JJ organizer NN and CC therefore RB the DT cytoskeletal JJ structure NN , , stimulating VVG the DT cell NN with IN adrenaline NN somehow RB reintroduces VVZ cytoskeletal JJ organization NN , , leading VVG to TO the DT formation NN of IN a DT microtubule NN aster NN and CC the DT aggregation NN of IN the DT cell's JJ pigment NN particles NNS at IN the DT center NN of IN the DT fragment NN . SENT It PP is VBZ this DT centering VVG behaviour NN that WDT is VBZ analogous JJ to TO chromosome NN alignment NN during IN cell NN division NN . SENT We PP derive VV a DT system NN of IN seven CD non JJ linear JJ PDEs NP 1 CD D NP that WDT describes VVZ the DT biological JJ system NN . SENT Numerical JJ simulations NNS of IN the DT equations NNS demonstrate VVP certain JJ observed JJ features NNS aggregation NN but CC not RB others NNS centering VVG . SENT The DT system NN can MD be VB reduced VVN so RB as IN to TO facilitate VV analysis NN which WDT allow VVP for IN an DT understanding NN of IN the DT successes NNS and CC failures NNS of IN the DT original JJ model NN . SENT Finally RB , , we PP generalize VV the DT reduced JJ model NN to TO 2 CD D NP , , incorporating VVG a DT stochatic JJ element NN , , and CC present JJ numerical JJ results NNS . SENT In IN this DT talk NN , , I PP will MD also RB briefly RB mention VV some DT of IN my PP$ previous JJ work NN on IN the DT phenomenon NN of IN ventricular JJ fibrillation NN in IN the DT heart NN , , and CC the DT analysis NN of IN wave NN phenomena NNS in IN the DT Fitzhugh NP Nagumo NP equations NNS that WDT formed VVD the DT focus NN of IN my PP$ PhD NP work NN . SENT Back RB To TO Top JJ Mathematical JJ Biology NN Seminar NN Time NN . SENT Thurs NP Jan NP 9 CD , , 2003 CD 2 CD . SENT 00 CD pm NN Location NP . SENT Rm NP 216 CD , , PIMS NP main JJ facility NN , , 1933 CD West NP Mall NP , , UBC NP Speaker NP . SENT Eric NP Cytrynbaum NP , , Mathematics NN Dept NP , , UC NP Davis NP Title NP . SENT Cytoskeletal JJ mechanics NNS and CC spindle NN morphogenesis NN during IN mitosis NN in IN Drosophila NN embryos NNS Abstract JJ . SENT Mitosis NN , , the DT process NN by IN which WDT a DT cell NN segregates VVZ two CD identical JJ copies NNS of IN its PP$ genome NN in IN preparation NN for IN division NN , , is VBZ fundamental JJ to TO cell NN replication NN and CC hence RB to TO life NN as IN we PP know VVP it PP . SENT In IN order NN to TO separate VV the DT two CD copies NNS of IN the DT genome NN , , a DT self NN assembling VVG protein NN machine NN , , the DT mitotic JJ spindle NN , , employs VVZ several JJ force NN generating NN molecules NNS known VVN as IN molecular JJ motors NNS . SENT These DT motors NNS , , through IN interaction NN with IN spindle NN microtubules NNS semi NN rigid JJ protein NN filaments NNS , , aid NN in IN spindle NN assembly NN as RB well RB as IN chromosome NN segregation NN . SENT It PP has VHZ been VBN proposed VVN that IN mitosis NN occurs VVZ by IN progression NN through IN a DT sequence NN of IN steady JJ states NNS defined VVN by IN a DT balance NN of IN motor NN forces NNS . SENT In IN close JJ collaboration NN with IN experimentalists NNS , , we PP have VHP developed VVN a DT quantitative JJ model NN describing VVG this DT balance NN of IN forces NNS during IN the DT process NN of IN spindle NN formation NN in IN Drosophila NN embryos NNS . SENT In IN particular JJ , , we PP describe VVP how WRB dynein NP and CC Ncd NP exert VV opposing VVG forces NNS on IN the DT spindle NN poles NNS , , moving VVG them PP to TO opposite JJ sides NNS of IN the DT nucleus NN where WRB they PP reach VVP a DT steady JJ state NN separation NN distance NN . SENT Complementing VVG dynein NN is VBZ a DT polymerization NN force NN that WDT explains VVZ the DT rapid JJ initial JJ separation NN that WDT is VBZ seen VVN in IN experimental JJ measurements NNS . SENT The DT model NN compares VVZ favorably RB to TO data NNS from IN both DT wildtype NN and CC mutant JJ phenotypes NNS . SENT In IN this DT talk NN , , I PP will MD describe VV the DT details NNS of IN the DT quantitative JJ model NN as IN well RB as IN ongoing JJ experimental JJ work NN which WDT was VBD motivated VVN by IN the DT quantitative JJ study NN . SENT Although IN more JJR experimental JJ work NN is VBZ required VVN , , I PP will MD also RB describe VV future JJ plans NNS for IN incorporating VVG these DT new JJ results NNS into IN a DT second JJ generation NN model NN . SENT Back RB To TO Top JJ Mathematics NN Colloquium NN Time NN . SENT Wedn NP Jan NP 8 CD , , 2003 CD . SENT 3 LS . SENT 00 CD pm NN Location NP . SENT Math NN Annex NN 1100 CD Speaker NP . SENT Christoph NP Hauert NP , , Department NP of IN Zoology NN , , UBC NP Title NP . SENT Cooperation NN in IN social JJ dilemmas NNS . SENT Volunteering VVG in IN public JJ goods NNS games NNS Abstract JJ . SENT Cooperative JJ behavior NN among IN unrelated JJ individuals NNS is VBZ one CD of IN the DT fundamental JJ problems NNS in IN biology NN and CC social JJ sciences NNS . SENT Reciprocal JJ altruism NN fails VVZ to TO provide VV a DT solution NN if IN interactions NNS are VBP not RB repeated VVN often RB enough RB or CC groups NNS are VBP too RB large JJ . SENT Punishment NN and CC reward NN can MD be VB very RB effective JJ but CC require VV that DT defectors NNS can MD be VB traced VVN and CC identified VVN . SENT Here RB we PP present VV a DT simple JJ but CC effective JJ mechanism NN operating NN under IN full JJ anonymity NN . SENT Voluntary JJ participation NN in IN public JJ goods NNS games NNS can MD foil VV exploiters NNS and CC overcome VV the DT social JJ dilemma NN . SENT This DT natural JJ extension NN leads VVZ to TO rock VV scissors NN paper NN type NN cyclic JJ dominance NN of IN the DT three CD strategies NNS cooperate VVP , , defect NN and CC loner JJR i NP . SENT e SYM . SENT those DT unwilling JJ to TO participate VV in IN the DT public JJ enterprise NN . SENT In IN voluntary JJ public JJ goods NNS interactions NNS the DT three CD strategies NNS can MD co NP exist VVP under IN very RB diverse JJ assumptions NNS on IN population NN structure NN and CC adaptation NN mechanisms NNS . SENT In IN particular JJ , , spatially RB structured VVN populations NNS , , where WRB players NNS interact VV only RB with IN their PP$ nearest JJS neighbors NNS , , lead VV to TO interesting JJ dynamical JJ properties NNS and CC intriguing JJ spatio NN temporal JJ patterns NNS . SENT Variations NNS of IN the DT value NN of IN the DT public JJ good JJ result NN in IN transitions NNS between IN one CD , , two CD and CC three CD strategy NN states NNS which WDT are VBP in IN the DT class NN of IN directed VVN percolation NN . SENT Although IN volunteering VVG is VBZ incapable JJ of IN stabilizing VVG cooperation NN , , it PP efficiently RB prevents VVZ successful JJ spreading VVG of IN selfish JJ behavior NN and CC enables VVZ cooperators NNS to TO persist VV at IN substantial JJ levels NNS . SENT Back RB To TO Top JJ Mathematical JJ Biology NN Seminar NN Time NN . SENT Tues NP Jan NP 7 CD , , 2003 CD , , 3 CD . SENT 00 CD pm NN Location NP . SENT Rm NP 216 CD , , PIMS NP main JJ facility NN , , 1933 CD West NP Mall NP , , UBC NP Speaker NP . SENT Christoph NP Hauert NP , , Department NP of IN Zoology NN , , UBC NP Title NP . SENT Cooperation NN in IN social JJ dilemmas NNS . SENT Punishment NN and CC Reputation NN Abstract JJ . SENT Humans NNS and CC animals NNS display VVP a DT high JJ readiness NN to TO help VV their PP$ fellows NNS in IN need NN even RB if IN such JJ assistance NN involves VVZ substantial JJ costs NNS in IN terms NNS of IN money NN or CC fitness NN . SENT Recently RB , , economists NNS became VVD increasingly RB interested JJ in IN this DT apparently RB irrational JJ behavior NN . SENT Extensive JJ experiments NNS suggest VVP that IN fairness NN considerations NNS , , punishment NN and CC reputation NN play VVP a DT crucial JJ role NN . SENT It PP now RB poses VVZ a DT challenging JJ task NN to TO embed VV such JJ mechanisms NNS in IN an DT abstract JJ game NN theoretical JJ framework NN . SENT Various JJ different JJ games NNS were VBD designed VVN to TO capture VV the DT essence NN and CC to TO highlight VV different JJ aspects NNS of IN such JJ interactions NNS between IN pairs NNS or CC groups NNS of IN individuals NNS . SENT The DT most RBS prominent JJ games NNS are VBP certainly RB the DT prisoner's NN dilemma NN , , the DT public JJ goods NNS game NN as RB well RB as IN the DT ultimatum NN game NN . SENT We PP show VVP that IN from IN a DT mathematical JJ point NN of IN view NN all DT three CD games NNS are VBP closely RB related VVN and CC share VV a DT common JJ core NN . SENT In IN particular JJ , , the DT ultimatum NN game NN turns VVZ out RP to TO be VB a DT special JJ case NN of IN a DT pairwise JJ prisoner's NN dilemma NN interaction NN followed VVN by IN punishment NN opportunities NNS . SENT This DT leads VVZ to TO a DT general JJ class NN of IN two CD stage NN games NNS where WRB an DT interaction NN is VBZ followed VVN by IN a DT reaction NN . SENT The DT replicator NN equation NN allows VVZ for IN a DT full JJ analysis NN of IN the DT resulting VVG game NN dynamics NNS even RB in IN the DT non JJ linear JJ case NN of IN groups NNS of IN interacting VVG individuals NNS . SENT The DT threat NN of IN punishment NN is VBZ efficient JJ in IN creating VVG incentives NNS to TO cooperate VV , , but CC punishment NN alone RB is VBZ not RB sufficient JJ for IN persistence NN of IN cooperation NN . SENT Additional JJ mechanisms NNS such JJ as IN reputation NN or CC spatially RB structured VVN populations NNS are VBP required VVN to TO achieve VV highly RB social JJ and CC fair JJ outcomes NNS related VVN to TO the DT experimental JJ evidence NN . SENT Back RB To TO Top JJ Mathematical JJ Biology NN Seminar NN Time NN . SENT Location NN . SENT Rm NP 216 CD , , PIMS NP main JJ facility NN , , 1933 CD West NP Mall NP , , UBC NP Speaker NP . SENT Title NN . SENT Abstract JJ . SENT Back RB To TO Top JJ