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.