Investigating the Turing conditions for diffusion-driven instability in the presence of a binding immobile substrate

0451690 - ÚT 2016 RIV GB eng J - Journal Article
Korvasová, K. - Gaffney, E. A. - Maini, P.K. - Ferreira, M.A. - Klika, Václav
Investigating the Turing conditions for diffusion-driven instability in the presence of a binding immobile substrate.
Journal of Theoretical Biology. Roč. 367, February (2015), s. 286-295. ISSN 0022-5193. E-ISSN 1095-8541
Institutional support: RVO:61388998
Keywords : turing instability * non-diffusive substrate * pattern formation
Subject RIV: BJ - Thermodynamics
Impact factor: 2.049, year: 2015
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Turing's diffusion-driven instability for the standard two species reaction–diffusion system is only achievable under well-known and rather restrictive conditions on both the diffusion rates and the kinetic parameters, which necessitates the pairing of a self-activator with a self-inhibitor. In this study we generalize the standard two-species model by considering the case where the reactants can bind to an immobile substrate, for instance extra-cellular matrix, and investigate the influence of this dynamics on Turing's diffusion-driven instability. Analysis of the system shows that binding of the self-activator to a substrate may effectively reduce its diffusion rate and thus induce a Turing instability for species with equal diffusion coefficients and also that a relaxation of the standard constraints on the reaction kinetics for the Turing instability is possible, increasing the type of interactions that could give rise to spatial patterning.
Permanent Link: http://hdl.handle.net/11104/0253426