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Parameter identification problems in the modelling of cell motility
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Croft, Wayne D., Elliott, Charles M., Ladds, Graham, Stinner, Björn, Venkataraman, Chandrasekhar and Weston, Cathryn (2015) Parameter identification problems in the modelling of cell motility. Journal of Mathematical Biology, 71 (2). pp. 399-436. doi:10.1007/s00285-014-0823-6 ISSN 0303-6812.
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Official URL: http://dx.doi.org/10.1007/s00285-014-0823-6
Abstract
We present a novel parameter identification algorithm for the estimation of parameters in models of cell motility using imaging data of migrating cells. Two alternative formulations of the objective functional that measures the difference between the computed and observed data are proposed and the parameter identification problem is formulated as a minimisation problem of nonlinear least squares type. A Levenberg-Marquardt based optimisation method is applied to the solution of the minimisation problem and the details of the implementation are discussed. A number of numerical experiments are presented which illustrate the robustness of the algorithm to parameter identification in the presence of large deformations and noisy data and parameter identification in three dimensional models of cell motility. An application to experimental data is also presented in which we seek to identify parameters in a model for the monopolar growth of fission yeast cells using experimental imaging data.
Item Type: | Journal Article | ||||||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Life Sciences (2010- ) > Biological Sciences ( -2010) Faculty of Science, Engineering and Medicine > Medicine > Warwick Medical School > Biomedical Sciences > Cell & Developmental Biology Faculty of Science, Engineering and Medicine > Science > Life Sciences (2010- ) Faculty of Science, Engineering and Medicine > Science > Mathematics Faculty of Science, Engineering and Medicine > Medicine > Warwick Medical School |
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Journal or Publication Title: | Journal of Mathematical Biology | ||||||||
Publisher: | Springer | ||||||||
ISSN: | 0303-6812 | ||||||||
Official Date: | August 2015 | ||||||||
Dates: |
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Volume: | 71 | ||||||||
Number: | 2 | ||||||||
Page Range: | pp. 399-436 | ||||||||
DOI: | 10.1007/s00285-014-0823-6 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Restricted or Subscription Access |
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