Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
11028592 | Mathematical Biosciences | 2018 | 26 Pages |
Abstract
We consider the inverse problem for the identification of the finite dimensional set of parameters for systems of nonlinear ordinary differential equations (ODEs) arising in systems biology. A numerical method which combines Bellman's quasilinearization with sensitivity analysis and Tikhonov's regularization is implemented. We apply the method to various biological models such as the classical Lotka-Volterra system, bistable switch model in genetic regulatory networks, gene regulation and repressilator models from synthetic biology. The numerical results and application to real data demonstrate the quadratic convergence.
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Agricultural and Biological Sciences (General)
Authors
Ugur G. Abdulla, Roby Poteau,