Parameter identification problems in the modelling of cell motility

Wayne Croft, Charles M. Elliott, Graham Ladds, Bjoern Stinner, Chandrasekhar Venkataraman*, Cathryn Weston

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

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. 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.

Original languageEnglish
Pages (from-to)399-436
Number of pages38
JournalJournal of Mathematical Biology
Volume71
Issue number2
Early online date2 Sept 2014
DOIs
Publication statusPublished - Aug 2015

Keywords

  • Parameter identification
  • Cell motility
  • Geometric evolution law
  • Reaction-diffusion system
  • Fission yeast

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