RT Journal Article
SR Electronic
T1 Cell polarisation in a bulk-surface model can be driven by both classic and non-classic Turing instability
JF bioRxiv
FD Cold Spring Harbor Laboratory
SP 2020.01.29.925628
DO 10.1101/2020.01.29.925628
A1 Johannes Borgqvist
A1 Adam Malik
A1 Carl Lundholm
A1 Anders Logg
A1 Philip Gerlee
A1 Marija Cvijovic
YR 2020
UL http://biorxiv.org/content/early/2020/01/30/2020.01.29.925628.abstract
AB The GTPase Cdc42 is the master regulator of cell polarisation. During this process the active form of Cdc42 is accumulated at a particular site on the cell membrane called the pole. It is believed that the accumulation of the active Cdc42 resulting in a pole is driven by a combination of activation-inactivation reactions and diffusion. It has been proposed using mathematical modelling that this is the result of diffusion-driven instability, originally proposed by Alan Turing. In this study we develop a 3D bulk-surface model of the dynamics of Cdc42. We show that the model can undergo both classic and non-classic Turing instability. We thoroughly investigate the parameter space for which this occurs. Using simulations we show that the model can be used to simulate polarisation and to predict a number of relevant quantitative measures, including pole size and time to polarisation.