BB 626 - Modeling Biological Systems and Processes

Course content

Examples of simple models to understand different types of biological processes such as Lotka-Voltera model, simple epidemic model, reaction-diffusion models, drift-diffusion models.

Introductions to stochastic processes in biology, Introduction to Fokker-Planck and Langevin equations.

Introduction to computer simulations.

Introductions to different types of simulations-Molecular Dynamics, Monte Carlo and Langevin dynamics simulations.

Simple examples of application of direct Monte Carlo simulation and Gillespie algorithm to a number of simple stochastic biological systems.

References

Physical Biology of the Cell, R Phillips, J Kondev, J. Theriot, Garland Science, 2009.

A Course in Mathematical Biology: Quantitative Modeling with Mathematical and Computational Methods, Gerda de Vries, Thomas Hillen, Mark Lewis, Birgitt Schõnfisch, Johannes Muller, SIAM, 2006.

Dynamic Models in Biology, Stephen P. Ellner, John Guckenheimer, Princeton University Press, 2006.