Angol nyelvű Tudományos Szakcikk (Folyóiratcikk)

- SJR Scopus - Condensed Matter Physics: Q1

Azonosítók

- MTMT: 30904446
- DOI: 10.1016/j.physd.2019.06.005
- WoS: 000477786800008

Szakterületek:

Continuum mathematical models for collective cell motion normally involve reaction-diffusion
equations, such as the Fisher-KPP equation, with a linear diffusion term to describe
cell motility and a logistic term to describe cell proliferation. While the Fisher-KPP
equation and its generalisations are commonplace, a significant drawback for this
family of models is that they are not able to capture the moving fronts that arise
in cell invasion applications such as wound healing and tumour growth. An alternative,
less common, approach is to include nonlinear degenerate diffusion in the models,
such as in the Porous-Fisher equation, since solutions to the corresponding equations
have compact support and therefore explicitly allow for moving fronts. We consider
here a hole-closing problem for the Porous-Fisher equation whereby there is initially
a simply connected region (the hole) with a nonzero population outside of the hole
and a zero population inside. We outline how self-similar solutions (of the second
kind) describe both circular and non-circular fronts in the hole-closing limit. Further,
we present new experimental and theoretical evidence to support the use of nonlinear
degenerate diffusion in models for collective cell motion. Our methodology involves
setting up a two-dimensional wound healing assay that has the geometry of a hole-closing
problem, with cells initially seeded outside of a hole that closes as cells migrate
and proliferate. For a particular class of fibroblast cells, the aspect ratio of an
initially rectangular wound increases in time, so the wound becomes longer and thinner
as it closes; our theoretical analysis shows that this behaviour is consistent with
nonlinear degenerate diffusion but is not able to be captured with commonly used linear
diffusion. This work is important because it provides a clear test for degenerate
diffusion over linear diffusion in cell lines, whereas standard one-dimensional experiments
are unfortunately not capable of distinguishing between the two approaches. (C) 2019
Elsevier B.V. All rights reserved.

2021-10-24 04:25