Simple Mathematical Models of Gene Regulatory Dynamics

Michael C. Mackey is a mathematically trained physiologist from McGill University in Montréal who has spent his entire career working in mathematical biology. He has extensive experience in the modeling and analysis of biologically motivated mathematical models and their use to illuminate biological functioning. Moisés Santillán is a Professor of Biomedical Engineering and Physics at the Monterrey Campus of the Center for Research and Advanced Studies of the IPN (Cinvestav), in México. He has BSc, MSc, and PhD degrees in physics, but most of his career has been devoted to tackling biological problems with tools from physics and mathematics. Marta Tyran-Kaminska is a faculty member of the Institute of Mathematics at the University of Silesia in Katowice, Poland. Her mathematical research has been in dynamical systems and stochastic processes. Eduardo Santillan Zeron is a mathematician working at the Centre for Research and Advanced Studies (Cinvestav) of the IPN in México City, México. His Doctoral Thesis was on the area of general topology and his research interests are: several complex variables, probability and theoretical biology.

Introduction.- Part I Deterministic Modeling Techniques.- 1.Generic deterministic models of prokaryotic gene regulation.- 2.General dynamic considerations.- Part II Dealing with Noise.- 3.Master equation modeling approaches.- 4.Noise effects in gene regulation: Intrinsic versus extrinsic.- Part III Specific Examples.- 5.The lactose operon.- 6.The tryptophan operon.- 7.The Lysis-Lysogeny Switch.- Index.- References.