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Parameter identification problems in the modelling of cell motility

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posted on 2023-06-08, 18:45 authored by Wayne Croft, Charles M Elliott, Graham Ladds, Björn Stinner, Chandrasekhar VenkataramanChandrasekhar Venkataraman, Cathryn Weston
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. Our numerical tests allow us to compare the method with the two different formulations of the objective functional and we conclude that the results with both objective functionals seem to agree.

History

Publication status

  • Published

File Version

  • Accepted version

Journal

Journal of Mathematical Biology

ISSN

0303-6812

Publisher

Springer Verlag

Issue

2

Volume

71

Page range

399-436

Department affiliated with

  • Mathematics Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2014-10-20

First Open Access (FOA) Date

2014-10-20

First Compliant Deposit (FCD) Date

2014-10-20

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