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IMA Tutorial

Network Dynamics and Cell Physiology

April 17-18, 2008
Organizers:
Daniel Forger Mathematics, University of Michigan
John J. Tyson Biology, Virginia Polytechnic Institute & State University

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Description:

Complex networks of interacting proteins control the physiological properties of a cell (metabolism, reproduction, motility, signaling, etc.). Intuitive reasoning about these networks is often sufficient to guide the next experiment, and a cartoon drawing of a network can be useful in codifying the results of hundreds of observations. But what tools are available for understanding the rich dynamical repertoire of such control systems? Why does a control system behave the way it does? What other behaviors are possible? How do these behaviors depend on the genetic and biochemical parameters of the system (gene dosage, enzymatic rate constants, equilibrium binding constants, etc)? Using basic principles of biochemical kinetics, network diagrams can be converted into sets of ordinary differential equations and their properties explored by analytical and computational methods. We will describe the basic ideas and tools required for this type of modeling and illustrate the approach with a variety of examples taken from modern research in cell biology (growth, division, death, signaling, rhythms, and disease).

Schedule
Thursday | Friday
  Thursday, April 17
8:15am-8:50am Registration and Coffee   EE/CS 3-176
8:50am-9:00am Welcome to the IMA Douglas N. Arnold (University of Minnesota) EE/CS 3-180
9:00am-10:00am Lecture 1: Cell physiology, molecular biology and mathematical modeling John J. Tyson (Virginia Polytechnic Institute and State University) EE/CS 3-180
10:00am-10:30am Coffee   EE/CS 3-176
10:30am-11:30am Lecture 2: Network motifs: sniffers, buzzers, toggles and blinkers John J. Tyson (Virginia Polytechnic Institute and State University) EE/CS 3-180
11:30am-1:30pm Lunch    
1:15pm-2:30pm Computer Lab 1: Phase planes, vector fields, nullclines, bifurcations Daniel Forger (University of Michigan), John J. Tyson (Virginia Polytechnic Institute and State University) Lind Hall 409
2:30pm-3:00pm Coffee   EE/CS 3-176
3:00pm-4:00pm Lecture 3: Cell cycle regulation John J. Tyson (Virginia Polytechnic Institute and State University) EE/CS 3-180
4:00pm-5:00pm Computer Lab 2: Modeling exercises Daniel Forger (University of Michigan), John J. Tyson (Virginia Polytechnic Institute and State University) Lind Hall 409
  Friday, April 18
8:30am-9:00am Coffee   EE/CS 3-176
9:00am-9:00am Lecture 4: Stochastic modeling of molecular regulatory networks Daniel Forger (University of Michigan) EE/CS 3-180
10:00am-10:30am Break   EE/CS 3-176
10:30am-11:30am Lecture 5: Models of circadian rhythms Daniel Forger (University of Michigan) EE/CS 3-180
11:30am-12:30pm Lunch    
1:15pm-2:30pm Computer Lab 3: Stochastic Simulation Daniel Forger (University of Michigan), John J. Tyson (Virginia Polytechnic Institute and State University) Lind Hall 409
2:30pm-3:00pm Break   EE/CS 3-176
3:00pm-4:00pm Lecture 6: Synchronization and phase resetting Daniel Forger (University of Michigan) EE/CS 3-180

LIST OF CONFIRMED PARTICIPANTS

NameDepartmentAffiliation
Claudio AltafiniDepartment of Functional Analysis and Applications International School for Advanced Studies (SISSA/ISAS)
Douglas N. ArnoldSchool of Mathematics University of Minnesota
Daniel J. BatesInstitute for Mathematics and its Applications University of Minnesota
Banu BaydilDepartment of Mathematical Sciences Rensselaer Polytechnic Institute
Yermal Sujeet BhatInstitute for Mathematics and its Applications University of Minnesota
Sudin BhattacharyaComputational Biology Department The Hamner Institutes for Health Sciences
Khalid BoushabaDepartment of Mathematics Iowa State University
Don ButtonMarine Science/Biochemistry University of Alaska
Maria-Carme T. CaldererSchool of Mathematics University of Minnesota
Hannah CallenderInstitute for Mathematics and its Applications University of Minnesota
John R. CannonMathematics Department University of Central Florida
Ludovica Cecilia Cotta-RamusinoInstitute for Mathematics and its Applications University of Minnesota
Kequan DingScience100 Labs Chinese Academy of Sciences
Peng FengDepartment of Mathematics  Florida Gulf Coast University
Christodoulos A. FloudasDepartment of Chemical Engineering Princeton University
Daniel ForgerDepartment of Mathematics University of Michigan
Jason E. GowerInstitute for Mathematics and its Applications University of Minnesota
Esfandiar HaghverdiSchool of Informatics Indiana University
Milena HeringInstitute for Mathematics and its Applications University of Minnesota
Franziska Babette HinkelmannDepartment of Mathematics Virginia Polytechnic Institute and State University
Peter HinowInstitute for Mathematics and its Applications University of Minnesota
Tiefeng JiangDepartment of Statistics University of Minnesota
Fumiaki KatagiriDepartment of Plant Biology University of Minnesota
Varunyu Khamviwith University of Minnesota
Debra KnisleyDepartment of Mathematics East Tennessee State University
Peter R. KramerDepartment of Mathematical Sciences Rensselaer Polytechnic Institute
Juan C. LatorreDepartment of Mathematical Sciences Rensselaer Polytechnic Institute
Anton LeykinInstitute for Mathematics and its Applications University of Minnesota
James LuDepartment of Inverse Problems Johann Radon Institute for Computational and Applied Mathematics
Roger LuiDepartment of Mathematical Sciences Worcester Polytechnic Institute
Laura LuratiInstitute for Mathematics and its Applications University of Minnesota
Suping LyuMaterials and Biosciences Center Medtronic
Ezio MarchiDepartment of Mathematics Instituto de Matemática Aplicada
Ezra MillerSchool of Mathematics University of Minnesota
Alejandro Morales ValenciaDepartment of Computational Sciences University of Guadalajara
Jeff MorganDepartment of Mathematics University of Houston
Theoden NetoffDepartment of Biomedical Engineering University of Minnesota
Timothy NewmanDepartment of Physics Arizona State University
Duane NykampSchool of Mathematics University of Minnesota
David J. OddeDepartment of Biomedical Engineering University of Minnesota
Isamu OnishiDepartment of Mathematical and Life Sciences Hiroshima University
Hans G. OthmerDepartment of Mathematics University of Minnesota
Bobby PhilipComputer and Computational Sciences Division Los Alamos National Laboratory
Mary PorterDepartment of Genetics, Cell Biology, and Development University of Minnesota
Eric J. RawdonDepartment of Mathematics University of St. Thomas
Beatrice M. RiviereDepartment of Mathematics University of Pittsburgh
Leonid RubchinskyDepartment of Mathematical Sciences Indiana University-Purdue University
Deena SchmidtInstitute for Mathematics and its Applications University of Minnesota
Gaukhar ShaikhovaDepartment of Mathematics and Information Technology  The L.N.Gumilyov Eurasian National University
Chehrzad ShakibanInstitute of Mathematics and its Application University of Minnesota
Ali ShojaieDepartment of Statistics University of Michigan
Andrew M. SteinInstitute for Mathematics and its Applications University of Minnesota
Vladimir SverakSchool of Mathematics University of Minnesota
Erkan TüzelInstitute for Mathematics and its Applications University of Minnesota
John J. TysonDepartment of Biology Virginia Polytechnic Institute and State University
Haiyan WangDepartment of Mathematical Sciences and Applied Computing Arizona State University
Zhian WangInstitute for Mathematics and its Applications University of Minnesota
Chris WarrenBME University of Minnesota
Zhijun WuDepartment of Mathematics Iowa State University
Richard YamadaDepartment of Mathematics University of Michigan
Yuncheng YouDepartment of Mathematics University of South Florida
Hongchao ZhangInstitute for Mathematics and its Applications University of Minnesota