Stochastic Dynamics: Molecular Motors, Neuron Models, and Epidemics on Networks - April 15-17, 2010
Workshop Information
General Information
The workshop concentrated on primary topics of research in three of the SAMSI working groups in 2009-10. As well as talks by invited speakers, working groups presented results and works-in-progress with the aim of generating interaction with the guests.
Molecular motors are biological molecular machines that convert energy into motion, producing movement in living organisms, operating at a scale where thermal noise is significant. Because motor events are stochastic, they may be modeled in terms of random walk or Markov processes. An active topic is the stochastic dynamics of such models.
Several well-known neuron models are being studied with the aim of comparing the stochastic dynamics of the models. A fundamental question is, in what cases the transition from firing to quiescence and back is governed by boundary crossing times of a stochastic process, as opposed to large deviation times. The larger question for stochastic dynamics is the nature of transition times between domains of attraction of locally stable configurations.
Epidemics have been defined on networks in various ways. One approach is to fix a network and define a version of a classical mean field epidemic model on that network by specializing the interaction equations to specific local interactions. The challenge is to devise models where solutions, or at least some of their properties, are accessible.
Organizers: Priscilla "Cindy" Greenwood (ASU), John Fricks (Penn State), Lea Popovic (Concordia), Scott Schmidler (Duke)
Schedule
Thursday, April 15, 2010
at SAMSI
| 8:15-8:45 a.m. | Registration and Continental Breakfast |
| 8:45-9:00 | Welcome |
| 9:00-9:55 | Susanne Ditlevsen, University of Copenhagen The Morris Lecar Neuron Model Gives Rise to the Ornstein-Uhlenbeck Leaky Integrate-and-Fire Model |
| 9:55-10:50 | David Kinderlehrer, Carnegie Mellon University Aspects of Modeling Transport in Small Systems with a Look at Motor Proteins |
| 10:50-11:05 | Break |
| 11:05-Noon | Motors Group |
| 12:00-1:00 | Lunch |
| 1:00-1:55 | Neurons Group |
| 1:55-2:50 | Networks Group |
| 2:50-3:05 | Break |
| 3:05-4:45 | Working Sessions (Rooms 150, 201, 259) |
| 4:45-5:30 | Working Session Reports and Poster Advertisements |
| 5:30-7:30 | Poster Session and Reception SAMSI will provide poster presentation boards and tape. The board dimensions are 4 ft. wide by 3 ft. high. They are tri-fold with each side being 1 ft. wide and the center 2 ft. wide. Please make sure your poster fits the board. The boards can accommodate up to 16 pages of paper measuring 8.5 inches by 11 inches. |
Friday, April 16, 2010
at SAMSI
| 8:30-9:00 a.m. | Registration and Continental Breakfast |
| 9:00-9:55 | Laura Sacerdote, University of Torino Copulae in Neural Networks Modeling |
| 9:55-10:50 | Erik Volz, University of Michigan Mathematical Modeling of Sexually Transmitted Infections in Dynamic Contact Networks |
| 10:50-11:05 | Break |
| 11:05-Noon | Andrea Barriero, University of Washington |
| 12:00-1:00 | Lunch |
| 1:00-1:55 | Hongyun Wang, University of California - Santa Cruz Studying Single Molecule Motors/Bonds in the Framework of Langevin/Fokker-Planck Equations |
| 1:55-4:45 | Working Sessions (Rooms 150, 201, 259) |
| 2:30 | Break |
| 4:45-5:30 | Working Session Reports |
Saturday, April 17, 2010
at SAMSI
| 8:30-9:00 a.m. | Registration and Continental Breakfast |
| 9:00-9:55 | Meredith Betterton, University of Colorado |
| 9:55-10:50 | Duane Nykamp, University of Minnesota Toward a Second Order Description of Neuronal Networks |
| 10:50-11:05 | Break |
| 11:05-Noon | Martina Morris, University of Washington |
| Noon-1:00 | Lunch |
| 1:00-2:00 | David Hunter, Pennsylvania State University Bayesian Inference for Contact Networks Given Epidemic Data |
| 2:00 | Adjourn |