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

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F15%3A00451690" target="_blank" >RIV/61388998:_____/15:00451690 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/68407700:21340/15:00228095

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.jtbi.2014.11.024" target="_blank" >http://dx.doi.org/10.1016/j.jtbi.2014.11.024</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.jtbi.2014.11.024" target="_blank" >10.1016/j.jtbi.2014.11.024</a>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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 aself-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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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 aself-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.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BJ - Termodynamika

OECD FORD obor

—

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2015

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of Theoretical Biology

ISSN

0022-5193

e-ISSN

—

Svazek periodika

367

Číslo periodika v rámci svazku

February

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

10

Strana od-do

286-295

Kód UT WoS článku

000349509100023

EID výsledku v databázi Scopus

2-s2.0-84922592804