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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| Format: | Article |
| Language: | English |
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AIMS Press
2005-07-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.527 |
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| _version_ | 1832590247336083456 |
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| author | Krzysztof Fujarewicz Marek Kimmel Andrzej Swierniak |
| author_facet | Krzysztof Fujarewicz Marek Kimmel Andrzej Swierniak |
| author_sort | Krzysztof Fujarewicz |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-3c0a66185f254fbbac20a18b1689fe5e |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2005-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-3c0a66185f254fbbac20a18b1689fe5e2025-01-24T01:49:00ZengAIMS PressMathematical Biosciences and Engineering1551-00182005-07-012352753410.3934/mbe.2005.2.527On Fitting Of Mathematical Models Of Cell Signaling Pathways Using Adjoint SystemsKrzysztof Fujarewicz0Marek Kimmel1Andrzej Swierniak2Institute of Automatic Control, Silesian University of Technology, Akademicka 16, 44-101 GliwiceDepartment of Statistics, Rice University, P.O. Box 1892, Houston, TX 77251Institute of Automatic Control, Silesian University of Technology, Akademicka 16, 44-101 GliwiceThis 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.https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.527adjoint systems.parameter estimationmathematical modelscell signaling pathwaysnonlinear dynamics |
| spellingShingle | Krzysztof Fujarewicz Marek Kimmel Andrzej Swierniak On Fitting Of Mathematical Models Of Cell Signaling Pathways Using Adjoint Systems Mathematical Biosciences and Engineering adjoint systems. parameter estimation mathematical models cell signaling pathways nonlinear dynamics |
| title | On Fitting Of Mathematical Models Of Cell Signaling Pathways Using Adjoint Systems |
| title_full | On Fitting Of Mathematical Models Of Cell Signaling Pathways Using Adjoint Systems |
| title_fullStr | On Fitting Of Mathematical Models Of Cell Signaling Pathways Using Adjoint Systems |
| title_full_unstemmed | On Fitting Of Mathematical Models Of Cell Signaling Pathways Using Adjoint Systems |
| title_short | On Fitting Of Mathematical Models Of Cell Signaling Pathways Using Adjoint Systems |
| title_sort | on fitting of mathematical models of cell signaling pathways using adjoint systems |
| topic | adjoint systems. parameter estimation mathematical models cell signaling pathways nonlinear dynamics |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.527 |
| work_keys_str_mv | AT krzysztoffujarewicz onfittingofmathematicalmodelsofcellsignalingpathwaysusingadjointsystems AT marekkimmel onfittingofmathematicalmodelsofcellsignalingpathwaysusingadjointsystems AT andrzejswierniak onfittingofmathematicalmodelsofcellsignalingpathwaysusingadjointsystems |