Control of Turing patterns and their usage as sensors, memory arrays, and logic gates

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60461373%3A22340%2F13%3A43895646" target="_blank" >RIV/60461373:22340/13:43895646 - isvavai.cz</a>

Výsledek na webu

<a href="http://scitation.aip.org/content/aip/journal/jcp/139/16/10.1063/1.4825379?ver=pdfcov" target="_blank" >http://scitation.aip.org/content/aip/journal/jcp/139/16/10.1063/1.4825379?ver=pdfcov</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1063/1.4825379" target="_blank" >10.1063/1.4825379</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Control of Turing patterns and their usage as sensors, memory arrays, and logic gates

Popis výsledku v původním jazyce

We study a model system of three diffusively coupled reaction cells arranged in a linear array that display Turing patterns with special focus on the case of equal coupling strength for all components. As a suitable model reaction we consider a two-variable core model of glycolysis. Using numerical continuation and bifurcation techniques we analyze the dependence of the system's steady states on varying rate coefficient of the recycling step while the coupling coefficients of the inhibitor and activatorare fixed and set at the ratios 100:1, 1:1 and 4:5. We show that stable Turing patterns occur at all three ratios but, as expected, spontaneous transition from the spatially uniform steady state to the spatially nonuniform Turing patterns occurs only inthe first case. The other two cases possess multiple Turing patterns, which are stabilized by secondary bifurcations and coexist with stable uniform periodic oscillations. For the 1:1 ratio we examine modular spatiotemporal perturbations

Název v anglickém jazyce

Control of Turing patterns and their usage as sensors, memory arrays, and logic gates

Popis výsledku anglicky

We study a model system of three diffusively coupled reaction cells arranged in a linear array that display Turing patterns with special focus on the case of equal coupling strength for all components. As a suitable model reaction we consider a two-variable core model of glycolysis. Using numerical continuation and bifurcation techniques we analyze the dependence of the system's steady states on varying rate coefficient of the recycling step while the coupling coefficients of the inhibitor and activatorare fixed and set at the ratios 100:1, 1:1 and 4:5. We show that stable Turing patterns occur at all three ratios but, as expected, spontaneous transition from the spatially uniform steady state to the spatially nonuniform Turing patterns occurs only inthe first case. The other two cases possess multiple Turing patterns, which are stabilized by secondary bifurcations and coexist with stable uniform periodic oscillations. For the 1:1 ratio we examine modular spatiotemporal perturbations

Druh

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

CEP obor

CI - Průmyslová chemie a chemické inženýrství

OECD FORD obor

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Projekt

<a href="/cs/project/GA203%2F09%2F2091" target="_blank" >GA203/09/2091: Funkční dynamika heterogenně-chemických a biochemických reakčních systémů s využitím analýzy reakčních sítí</a><br>

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2013

Kód důvěrnosti údajů

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

Název periodika

Journal of Chemical Physics

ISSN

0021-9606

e-ISSN

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Svazek periodika

139

Číslo periodika v rámci svazku

neuvedeno

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

10

Strana od-do

164108-1 - 164108-10

Kód UT WoS článku

000326637500011

EID výsledku v databázi Scopus

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