The Impact of Elastic Deformations of the Extracellular Matrix on Cell Migration
Journal article, 2020

The mechanical properties of the extracellular matrix, in particular its stiffness, are known to impact cell migration. In this paper, we develop a mathematical model of a single cell migrating on an elastic matrix, which accounts for the deformation of the matrix induced by forces exerted by the cell, and investigate how the stiffness impacts the direction and speed of migration. We model a cell in 1D as a nucleus connected to a number of adhesion sites through elastic springs. The cell migrates by randomly updating the position of its adhesion sites. We start by investigating the case where the cell springs are constant, and then go on to assuming that they depend on the matrix stiffness, on matrices of both uniform stiffness as well as those with a stiffness gradient. We find that the assumption that cell springs depend on the substrate stiffness is necessary and sufficient for an efficient durotactic response. We compare simulations to recent experimental observations of human cancer cells exhibiting durotaxis, which show good qualitative agreement. © 2020, The Author(s).

Mathematical modeling

Durotaxis

Stochastic simulation

Cell migration

Author

Adam Malik

Chalmers, Mathematical Sciences, Applied Mathematics and Statistics

Bernt Wennberg

Chalmers, Mathematical Sciences

Philip Gerlee

Chalmers, Mathematical Sciences, Applied Mathematics and Statistics

Bulletin of Mathematical Biology

0092-8240 (ISSN) 1522-9602 (eISSN)

Vol. 82 4 49

Hierarchical mixed effects modelling of dynamical systems

Swedish Foundation for Strategic Research (SSF), 2019-09-01 -- 2020-06-30.

Swedish Foundation for Strategic Research (SSF), 2014-04-01 -- 2019-06-30.

Subject Categories

Mathematics

DOI

10.1007/s11538-020-00721-2

More information

Latest update

4/29/2020