Spontaneous structuralization of discrete biological systems with diffusion

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60461373%3A22340%2F11%3A43891843" target="_blank" >RIV/60461373:22340/11:43891843 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Spontaneous structuralization of discrete biological systems with diffusion
Original language description
In this paper we introduce the possibilities of spontaneous self-organization of auto-reproducing biological systems with discrete diffusion and partially describe its behaviour. Those possibilities are studied by the mathematical apparatus using the auto- catalysis and the diffusion process. The auto-catalysis is fitted by the logistic map and the diffusion process is fitted by the transport of elementary subjects based on the Fick's law in non continuous space with potential effect of an external force included. This system was analysed in one- and two-dimensional space for various input conditions: reproduc- tion speed, diffusion intensity and external influence. It is shown that for proper control parameters and initial conditions the system exhibits spontaneous self-organization, what may be used for the description and prediction of the behaviour of real inorganic, organic or biological systems in e.g. microelectronics or biosensors.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical
Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms
ISSN
1492-8760
e-ISSN
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Volume of the periodical
18
Issue of the periodical within the volume
2
Country of publishing house
CA - CANADA
Number of pages
13
Pages from-to
135-147
UT code for WoS article
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EID of the result in the Scopus database
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