Exact Solutions of Coupled Multispecies Linear Reaction–Diffusion Equations on a Uniformly Growing Domain

Matthew J Simpson, Jesse A Sharp, Liam C Morrow and Ruth E Baker

PLOS ONE, 2015, vol. 10, issue 9, 1-16

Abstract: Embryonic development involves diffusion and proliferation of cells, as well as diffusion and reaction of molecules, within growing tissues. Mathematical models of these processes often involve reaction–diffusion equations on growing domains that have been primarily studied using approximate numerical solutions. Recently, we have shown how to obtain an exact solution to a single, uncoupled, linear reaction–diffusion equation on a growing domain, 0

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:plo:pone00:0138894

DOI: 10.1371/journal.pone.0138894

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