title: Parameter identification problems in the modelling of cell motility.
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.
authors.affiliation: School of Life Sciences, Queens Medical Centre, University of Nottingham, Nottingham, NG7 2UH, UK.
authors.forename: Wayne
authors.initials: W
authors.lastname: Croft
authors.forename: Charles M
authors.initials: CM
authors.lastname: Elliott
authors.forename: Graham
authors.initials: G
authors.lastname: Ladds
authors.forename: Björn
authors.initials: B
authors.lastname: Stinner
authors.forename: Chandrasekhar
authors.initials: C
authors.lastname: Venkataraman
authors.forename: Cathryn
authors.initials: C
authors.lastname: Weston
mesh_terms: D000465:Algorithms; D002465:Cell Movement; D019295:Computational Biology; D003198:Computer Simulation; D021621:Imaging, Three-Dimensional; D016018:Least-Squares Analysis; D055641:Mathematical Concepts; D008954:Models, Biological; D012568:Schizosaccharomyces / Q000166:cytology / Q000254:growth & development