An analytical method for disentangling the roles of adhesion and crowding for random walk models on a crowded lattice.
Migration of cells and molecules in vivo is affected by interactions with obstacles. These interactions can include crowding effects, as well as adhesion/repulsion between the motile cell/molecule and the obstacles. Here we present an analytical framework that can be used to separately quantify the roles of crowding and adhesion/repulsion using a lattice-based random walk model. Our method leads to an exact calculation of the long time Fickian diffusivity, and avoids the need for computationally expensive stochastic simulations.
School of Mathematical Sciences, Queensland University of Technology, Brisbane, Australia.
Adam J
AJ
Ellery
Ruth E
RE
Baker
Matthew J
MJ
Simpson
D003585:Cell Biology; D002465:Cell Movement; D002477:Cells / Q000166:cytology*; D003198:Computer Simulation; D004058:Diffusion; D008954:Models, Biological; D013269:Stochastic Processes