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

0451690 - ÚT 2016 RIV GB eng J - Článek v odborném periodiku
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
Institucionální podpora: RVO:61388998
Klíčová slova: turing instability * non-diffusive substrate * pattern formation
Kód oboru RIV: BJ - Termodynamika
Impakt faktor: 2.049, rok: 2015
http://ac.els-cdn.com/S0022519314006766/1-s2.0-S0022519314006766-main.pdf?_tid=63ec0858-9ffa-11e5-969b-00000aacb35d&acdnat=1449833527_e470798087aa42f7ca3b2efcfffc48cf

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.
Trvalý link: http://hdl.handle.net/11104/0253426