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Center for Nonlinear Studies |
This talk will discuss some applications of matrix perturbation theory to biological problems. First, we will consider the problem of algorithmic simplification of systems biology models. Using a parametric sensitivity analysis, we develop heuristic methods to address this problem, apply the methods to a well-established model of biochemical adaptation, and compare our technique with common alternatives. Next, we address the problem of identifying the parameters of a mathematical model that are most responsible for the model's functionality. We show how a similar technique, based on regularized sensitivity analysis, can help determine parameter/functionality relationships and discuss the conditions under which these relationships may be generalized across parameter space as well as similar models. We conclude by offering some observations about the process of adaptation.
Host: Bill Hlavacek