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
|
| 8:15a-8:50a |
Registration and Coffee |
|
EE/CS 3-176 |
| 8:50a-9:00a |
Welcome to the IMA |
Douglas N. Arnold (University of Minnesota) |
EE/CS 3-180 |
| 9:00a-10:00a |
Lecture 1: Cell physiology, molecular biology and mathematical modeling
|
John J. Tyson (Virginia Polytechnic Institute and State University) |
EE/CS 3-180 |
| 10:00a-10:30a |
Coffee |
|
EE/CS 3-176 |
| 10:30a-11:30a |
Lecture 2: Network motifs: sniffers, buzzers, toggles and blinkers
|
John J. Tyson (Virginia Polytechnic Institute and State University) |
EE/CS 3-180 |
| 11:30a-1:30p |
Lunch |
|
|
| 1:15p-2:30p |
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 |
| 2:30p-3:00p |
Coffee |
|
EE/CS 3-176 |
| 3:00p-4:00p |
Lecture 3: Cell cycle regulation
|
John J. Tyson (Virginia Polytechnic Institute and State University) |
EE/CS 3-180 |
| 4:00p-5:00p |
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
|
| 8:30a-9:00a |
Coffee |
|
EE/CS 3-176 |
| 9:00a-9:00a |
Lecture 4: Stochastic modeling of molecular regulatory networks
|
Daniel Forger (University of Michigan) |
EE/CS 3-180 |
| 10:00a-10:30a |
Break |
|
EE/CS 3-176 |
| 10:30a-11:30a |
Lecture 5: Models of circadian rhythms
|
Daniel Forger (University of Michigan) |
EE/CS 3-180 |
| 11:30a-12:30p |
Lunch |
|
|
| 1:15p-2:30p |
Computer Lab 3: Stochastic Simulation
|
Daniel Forger (University of Michigan), John J. Tyson (Virginia Polytechnic Institute and State University) |
Lind Hall 409 |
| 2:30p-3:00p |
Break |
|
EE/CS 3-176 |
| 3:00p-4:00p |
Lecture 6: Synchronization and phase resetting
|
Daniel Forger (University of Michigan) |
EE/CS 3-180 |
| Name |
Department |
Affiliation |
| Claudio Altafini |
Department of Functional Analysis and Applications |
International School for Advanced Studies (SISSA/ISAS) |
| Douglas N. Arnold |
Institute for Mathematics and its Applications |
University of Minnesota |
| Daniel J. Bates |
Institute for Mathematics and its Applications |
University of Minnesota |
| John Baxter |
Institute for Mathematics and its Applications |
University of Minnesota |
| Banu Baydil |
Department of Mathematical Sciences |
Rensselaer Polytechnic Institute |
| Yermal Sujeet Bhat |
Institute for Mathematics and its Applications |
University of Minnesota |
| Sudin Bhattacharya |
Computational Biology Department |
The Hamner Institutes for Health Sciences |
| Khalid Boushaba |
Department of Mathematics |
Iowa State University |
| Don Button |
Marine Science/Biochemistry |
University of Alaska |
| Maria-Carme T. Calderer |
School of Mathematics |
University of Minnesota |
| Hannah Callender |
Institute for Mathematics and its Applications |
University of Minnesota |
| John R. Cannon |
Mathematics Department |
University of Central Florida |
| Ludovica Cecilia Cotta-Ramusino |
Institute for Mathematics and its Applications |
University of Minnesota |
| Kequan Ding |
|
Chinese Academy of Sciences |
| Peng Feng |
Department of Mathematics |
Florida Gulf Coast University |
| Christodoulos A. Floudas |
Department of Chemical Engineering |
Princeton University |
| Daniel Forger |
Department of Mathematics |
University of Michigan |
| Jason E. Gower |
Institute for Mathematics and its Applications |
University of Minnesota |
| Esfandiar Haghverdi |
School of Informatics |
Indiana University |
| Milena Hering |
Institute for Mathematics and its Applications |
University of Minnesota |
| Franziska Babette Hinkelmann |
Department of Mathematics |
Virginia Polytechnic Institute and State University |
| Peter Hinow |
Institute for Mathematics and its Applications |
University of Minnesota |
| Tiefeng Jiang |
Department of Statistics |
University of Minnesota |
| Fumiaki Katagiri |
Plant Biology |
University of Minnesota |
| Varunyu Khamviwith |
|
University of Minnesota |
| Debra Knisley |
Department of Mathematics |
East Tennessee State University |
| Peter R. Kramer |
Department of Mathematical Sciences |
Rensselaer Polytechnic Institute |
| Juan Latorre |
Department of Mathematical Sciences |
Rensselaer Polytechnic Institute |
| Anton Leykin |
Institute for Mathematics and its Applications |
University of Minnesota |
| James Lu |
Department of Inverse Problems |
Johann Radon Institute for Computational and Applied Mathematics |
| Roger Y. Lui |
Department of Mathematical Sciences |
Worcester Polytechnic Institute |
| Laura Lurati |
Institute for Mathematics and its Applications |
University of Minnesota |
| Suping Lyu |
Materials and Biosciences Center |
Medtronic |
| Ezio Marchi |
Department of Mathematics |
Instituto de Matemática Aplicada |
| Ezra Miller |
School of Mathematics |
University of Minnesota |
| Alejandro Morales Valencia |
Department of Computational Sciences |
University of Guadalajara |
| Jeff Morgan |
Department of Mathematics |
University of Houston |
| Theoden Netoff |
Department of Biomedical Engineering |
University of Minnesota |
| Timothy Newman |
Department of Physics |
Arizona State University |
| Duane Nykamp |
School of Mathematics |
University of Minnesota |
| David Odde |
Department of Biomedical Engineering |
University of Minnesota |
| Isamu Ohnishi |
Department of Mathematical and Life Sciences |
Hiroshima University |
| Hans G. Othmer |
Department of Mathematics |
University of Minnesota |
| Bobby Philip |
Computer and Computational Sciences Division |
Los Alamos National Laboratory |
| Mary Porter |
Department of Genetics, Cell Biology, and Development |
University of Minnesota |
| Eric J. Rawdon |
Department of Mathematics |
University of St. Thomas |
| Beatrice M. Riviere |
Department of Mathematics |
University of Pittsburgh |
| Leonid Rubchinsky |
Department of Mathematical Sciences |
Indiana University-Purdue University |
| Deena Schmidt |
Institute for Mathematics and its Applications |
University of Minnesota |
| Gaukhar Shaikhova |
Department of Mathematics and Information Technology |
The L.N.Gumilyov Eurasian National University |
| Chehrzad Shakiban |
Institute of Mathematics and its Application |
University of Minnesota |
| Ali Shojaie |
Department of Statistics |
University of Michigan |
| Andrew Stein |
Institute for Mathematics and its Applications |
University of Minnesota |
| Vladimir Sverak |
School of Mathematics |
University of Minnesota |
| Erkan Tüzel |
Institute for Mathematics and its Applications |
University of Minnesota |
| John J. Tyson |
Department of Biology |
Virginia Polytechnic Institute and State University |
| Haiyan Wang |
Department of Mathematical Sciences and Applied Computing |
Arizona State University |
| Zhian Wang |
Institute for Mathematics and its Applications |
University of Minnesota |
| Chris Warren |
BME |
University of Minnesota |
| Zhijun Wu |
Department of Mathematics |
Iowa State University |
| Richard Yamada |
Department of Mathematics |
University of Michigan |
| Yuncheng You |
Department of Mathematics |
University of South Florida |
| Hongchao Zhang |
Institute for Mathematics and its Applications |
University of Minnesota |