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- W4290929756 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." @default.
- W4290929756 created "2022-08-13" @default.
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- W4290929756 date "2013-11-29" @default.
- W4290929756 modified "2023-10-18" @default.
- W4290929756 title "Parameter identification problems in the modelling of cell motility" @default.
- W4290929756 doi "https://doi.org/10.48550/arxiv.1311.7602" @default.
- W4290929756 hasPublicationYear "2013" @default.
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