Assessing the ability of the 2D Fisher-KPP equation to model cell-sheet wound closure - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Mathematical Biosciences Year : 2014

Assessing the ability of the 2D Fisher-KPP equation to model cell-sheet wound closure

Abstract

We address in this paper the ability of the Fisher-KPP equations to render some of the dynamical features of epithelial cell-sheets during wound closure. Our approach is based on nonlinear parameter identification, in a two-dimensional setting, and using advanced 2D image processing of the video acquired sequences. As original contribution, we lead a detailed study of the profiles of the classically used cost functions, and we address the "wound constant speed" assumption, showing that it should be handled with care. We study five MDCK cell monolayer assays in a reference, activated and inhibited migration conditions. Modulo the inherent variability of biological assays, we show that in the assay where migration is not exogeneously activated or inhibited, the wound velocity is constant. The Fisher-KPP equation is able to accurately predict, until the final closure of the wound, the evolution of the wound area, the mean velocity of the cell front, and the time at which the closure occurred. We also show that for activated as well as for inhibited migration assays, many of the cell-sheet dynamics cannot be well captured by the Fisher-KPP model. Finally, we draw some conclusions related to the identified model parameters, and possible utilization of the model.
Fichier principal
Vignette du fichier
MBS-D-13-00210R.pdf (2.14 Mo) Télécharger le fichier
Origin : Publisher files allowed on an open archive
Loading...

Dates and versions

hal-00923588 , version 1 (03-01-2014)

Identifiers

  • HAL Id : hal-00923588 , version 1

Cite

Abderrahmane Habbal, Hélène Barelli, Grégoire Malandain. Assessing the ability of the 2D Fisher-KPP equation to model cell-sheet wound closure. Mathematical Biosciences, 2014, 252, pp.45-59. ⟨hal-00923588⟩
358 View
851 Download

Share

Gmail Facebook X LinkedIn More