Investigating the Turing conditions for diffusion-driven instability in the presence of a binding immobile substrate
Result description
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.
Keywords
The result's identifiers
Result code in IS VaVaI
Alternative codes found
RIV/68407700:21340/15:00228095
Result on the web
DOI - Digital Object Identifier
Alternative languages
Result language
angličtina
Original language name
Investigating the Turing conditions for diffusion-driven instability in the presence of a binding immobile substrate
Original language description
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.
Czech name
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Czech description
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Classification
Type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BJ - Thermodynamics
OECD FORD branch
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Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Theoretical Biology
ISSN
0022-5193
e-ISSN
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Volume of the periodical
367
Issue of the periodical within the volume
February
Country of publishing house
GB - UNITED KINGDOM
Number of pages
10
Pages from-to
286-295
UT code for WoS article
000349509100023
EID of the result in the Scopus database
2-s2.0-84922592804
Basic information
Result type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP
BJ - Thermodynamics
Year of implementation
2015