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On Fitting Of Mathematical Models Of Cell Signaling Pathways Using Adjoint Systems

Krzysztof Fujarewicz Marek Kimmel Andrzej Swierniak

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MBE2005,3,527doi:10.3934/mbe.2005.2.527

This paper concerns the problem of fitting of mathematical models of cell signaling pathways. Such models frequently take the form of a set of nonlinear ordinary differential equations. While the model is continuous-time, the performance index, used in the fitting procedure, involves measurements taken only at discrete-time moments. Adjoint sensitivity analysis is a tool that can be used for finding a gradient of a performance index in the space of the model’s parameters. The paper uses a structural formulation of sensitivity analysis, especially dedicated for hybrid, continuous/discrete-time systems. A numerical example of fitting of the mathematical model of the NF-kB regulatory module is presented.

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Article ID   1551-0018_2005_3_527
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