Adjoint Systems for Models of Cell Signaling Pathways and their Application to Parameter Fitting

作者: K. Fujarewicz , M. Kimmel , T. Lipniacki , A. Swierniak

DOI: 10.1109/TCBB.2007.1016

关键词:

摘要: The paper concerns the problem of fitting mathematical models cell signaling pathways. Such frequently take form sets nonlinear ordinary differential equations. While model is continuous in time, performance index used procedure involves measurements taken at discrete time moments. Adjoint sensitivity analysis a tool which can be for finding gradient space parameters model. In paper, structural formulation adjoint called generalized backpropagation through (GBPTT) used. method especially suited hybrid, continuous-discrete systems. As an example, we use NF-kappaB regulatory module, plays major role innate immune response animals.

参考文章(24)
H. J. Merk, Analysis of heat-driven oscillations of gas flows Flow Turbulence and Combustion. ,vol. 6, pp. 1- 27 ,(1959) , 10.1007/BF00411735
Krzysztof Fujarewicz, Adam Galuszka, Generalized backpropagation through time for continuous time neural networks and discrete time measurements international conference on artificial intelligence and soft computing. pp. 190- 196 ,(2004) , 10.1007/978-3-540-24844-6_24
H. G. Bock, Numerical Treatment of Inverse Problems in Chemical Reaction Kinetics Springer Series in Chemical Physics. pp. 102- 125 ,(1981) , 10.1007/978-3-642-68220-9_8
Jeff Hasty, David McMillen, Farren Isaacs, James J. Collins, Computational studies of gene regulatory networks: in numero molecular biology Nature Reviews Genetics. ,vol. 2, pp. 268- 279 ,(2001) , 10.1038/35066056
Tomasz Lipniacki, Pawel Paszek, Allan R. Brasier, Bruce Luxon, Marek Kimmel, Mathematical model of NF- κB regulatory module Journal of Theoretical Biology. ,vol. 228, pp. 195- 215 ,(2004) , 10.1016/J.JTBI.2004.01.001
K. Schittkowski, Parameter estimation in systems of nonlinear equations Numerische Mathematik. ,vol. 68, pp. 129- 142 ,(1994) , 10.1007/S002110050052
Sandor Vajda, Keith R. Godfrey, Herschel Rabitz, Similarity transformation approach to identifiability analysis of nonlinear compartmental models. Bellman Prize in Mathematical Biosciences. ,vol. 93, pp. 217- 248 ,(1989) , 10.1016/0025-5564(89)90024-2