On Fitting Of Mathematical Models Of Cell Signaling Pathways Using Adjoint Systems
This paper concerns the problem of fitting of mathematical modelsof cell signaling pathways. Such models frequently take the form of a set ofnonlinear ordinary differential equations. While the model is continuous-time,the performance index, used in the fitting procedure, involves measurementstaken...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2005-07-01
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| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.527 |
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| Summary: | This paper concerns the problem of fitting of mathematical modelsof cell signaling pathways. Such models frequently take the form of a set ofnonlinear ordinary differential equations. While the model is continuous-time,the performance index, used in the fitting procedure, involves measurementstaken only at discrete-time moments. Adjoint sensitivity analysis is a toolthat can be used for finding a gradient of a performance index in the space ofthe model’s parameters. The paper uses a structural formulation of sensitivityanalysis, especially dedicated for hybrid, continuous/discrete-time systems. Anumerical example of fitting of the mathematical model of the NF-kB regulatorymodule is presented. |
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| ISSN: | 1551-0018 |