title: On fitting of mathematical models of cell signaling pathways using adjoint systems.
abstract: 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.
authors.affiliation: Institute of Automatic Control, Silesian University of Technology, Akademicka 16, 44-101 Gliwice, Poland. Krzysztof.Fujarewicz@polsl.pl.
authors.forename: Krzysztof
authors.initials: K
authors.lastname: Fujarewicz
authors.forename: Marek
authors.initials: M
authors.lastname: Kimmel
authors.forename: Andrzej
authors.initials: A
authors.lastname: Swierniak