Slides of presentation (ppt, 604 Kb) or PDF version (1 405 Kb)
Computer Algebra Approach to Investigating Regulatory Mechanisms
in Biochemical Reaction Networks: Application to Tryptophan Operon
Ordinary differential equations are widely used to study dynamics of
biochemical reaction networks. Possible regulatory mechanisms in these
networks can be investigated by exploring how the system variables
(concentration) respond to small changes in parameter values.
Mathematically, this can be done by solving the model and sensitivity
equations simultaneously. The number of sensitivity equations is a
product of the number of variables and parameters. Even for simple
networks, the derivations of these equations becomes challenging, if not
impossible, when one wants to do it by hand.
In this talk we will explain how to use Computer Algebra Systems,
such as Maple, to perform a complete sensitivity analysis for
biochemical reaction networks whose dynamics are described by a system
of differential equations. In the second part of this talk, we will show
how to apply our approach a model developed for the tryptophan operon
of E.coli, which is a small genetic network responsible for production
of tryptophan when it is not present in the environment.