The study of wave emitting centers in an excitable medium after double stimulus
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60461373%3A22340%2F04%3A00011033" target="_blank" >RIV/60461373:22340/04:00011033 - isvavai.cz</a>
Alternative codes found
RIV/60461373:22340/04:00013166
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
The study of wave emitting centers in an excitable medium after double stimulus
Original language description
In this study we show the spontaneous emergence of pacemakers emitting waves in the spatially one-dimensional (1D) and two-dimensional (2D) model of an excitable medium if the second perturbation is applied in the wake of the passing wave. The three variable model based on the Martiel-Goldbeter kinetics of the production and consumption of cAMP (cyclic 3,5-adenosin monophosphate) in the layer of starving cells of the slime mold Dictyostelium discoideum is investigated. The spatial coupling is realized by the diffusion of cAMP in the space between cells. Thorough bifurcation analysis of the kinetic model and related numerical simulations of the spatially distributed systems showed that the parametric proximity of homoclinics to the excitable dynamics can be the prerequisite to the emergence of pacemakers emitting temporarily or permanently waves.
Czech name
Studium center emitujících vlny po dvojitém stimulu v excitabilním médiu
Czech description
V článku je ukázáno, že v excitabilním systému se mohou spontánně objevovat pacemakery, emitující dočasně vlny, pokud je systém vystaven dvojité perturbaci - přídavku aktivátoru.Bifurkační analýza kinetického modelu ukazuje, že nezbytným předpokladem provznik dočasných pacemakerů je parametrická blízkost homoclinické trajektorie ve fázovém prostoru systému.
Classification
Type
D - Article in proceedings
CEP classification
CI - Industrial chemistry and chemical engineering
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA204%2F01%2F1329" target="_blank" >GA204/01/1329: Self-organization phenomena in biological systems under the effects of an imposed electric field</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2004
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Proceeding of 31th International Conference of Chemical Engineering, Tatranské Matliare, Slovakia
ISBN
80-227-2052-6
ISSN
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e-ISSN
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Number of pages
10
Pages from-to
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Publisher name
Slovak University of Technology
Place of publication
Bratislava
Event location
Tatranské Matliare
Event date
May 24, 2004
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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