DEPARTMENT OF MATHEMATICAL & STATISTICAL SCIENCES
UNIVERSITY OF ALBERTA
  

 

 

MATHEMATICAL BIOLOGY SEMINAR
 

MONDAY, OCTOBER 20, 2003

3:00 – 4:00 PM

CAB 657
 

 

Dr. Michael Mackey

Centre for Nonlinear Dynamics in Physiology and Medicine

Department of Physiology
McGill University

 

Mathematical Models of Gene Regulation

 

This talk will focus on examples of mathematical models for the regulation of repressible operons (e.g. the tryptophan operon), inducible operons (e.g. the lactose operon), and the lysis/lysogeny switch in phage l.  These “simple” gene regulatory elements can display characteristics experimentally of rapid response to perturbations and bistability, and biologically accurate mathematical models capture these aspects of the dynamics.  The models, if realistic, are always nonlinear and contain significant time delays due to transcriptional and translational delays that pose substantial problems for the analysis of the possible ranges of dynamics.