| Date |
May 24, 2013 |
| Speaker |
Dr. Graziano Chesi, The University of Hong Kong
|
| Title |
Equilibria and Stability Investigation in Genetic Regulatory Networks
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| Abstract |
The study of genetic regulatory networks (GRNs) is of fundamental
importance in systems biology. This talk describes our results for
addressing two key problems in the study of GRNs described by
differential equation models. The first problem consists of
determining the equilibrium points of a GRN, which is essential for
numerous investigations of the dynamics of the GRN. For this problem
we propose an algorithm that is guaranteed to bound at each iteration
all the equilibrium points and to find them asymptotically. The second
problem consists of establishing whether an equilibrium point of a GRN
is stable. It is shown that sufficient conditions for global
asymptotical stability can be derived based on convex optimization and
Lyapunov functions, moreover their conservatism can be decreased by
increasing the computational burden of the conditions.
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