Cell Repolarization: A Bifurcation Study of Spatio-Temporal Perturbations of Polar Cells.

Autor: Buttenschön A; Department of Mathematics, University of British Columbia, Vancouver, BC, V6T 1Z2, Canada. abuttens@math.ubc.ca., Edelstein-Keshet L; Department of Mathematics, University of British Columbia, Vancouver, BC, V6T 1Z2, Canada.
Jazyk: angličtina
Zdroj: Bulletin of mathematical biology [Bull Math Biol] 2022 Sep 05; Vol. 84 (10), pp. 114. Date of Electronic Publication: 2022 Sep 05.
DOI: 10.1007/s11538-022-01053-z
Abstrakt: The intrinsic polarity of migrating cells is regulated by spatial distributions of protein activity. Those proteins (Rho-family GTPases, such as Rac and Rho) redistribute in response to stimuli, determining the cell front and back. Reaction-diffusion equations with mass conservation and positive feedback have been used to explain initial polarization of a cell. However, the sensitivity of a polar cell to a reversal stimulus has not yet been fully understood. We carry out a PDE bifurcation analysis of two polarity models to investigate routes to repolarization: (1) a single-GTPase ("wave-pinning") model and (2) a mutually antagonistic Rac-Rho model. We find distinct routes to reversal in (1) vs. (2). We show numerical simulations of full PDE solutions for the RD equations, demonstrating agreement with predictions of the bifurcation results. Finally, we show that simulations of the polarity models in deforming 1D model cells are consistent with biological experiments.
(© 2022. The Author(s), under exclusive licence to Society for Mathematical Biology.)
Databáze: MEDLINE
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