Spontaneous structuralization of discrete biological systems with diffusion

Kód výsledku v 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>

Výsledek na webu

—

DOI - Digital Object Identifier

—

Jazyk výsledku

angličtina

Název v původním jazyce

Spontaneous structuralization of discrete biological systems with diffusion

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Spontaneous structuralization of discrete biological systems with diffusion

Popis výsledku anglicky

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.

Druh

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

CEP obor

BA - Obecná matematika

OECD FORD obor

—

Projekt

—

Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2011

Kód důvěrnosti údajů

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

Název periodika

Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms

ISSN

1492-8760

e-ISSN

—

Svazek periodika

18

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

CA - Kanada

Počet stran výsledku

13

Strana od-do

135-147

Kód UT WoS článku

—

EID výsledku v databázi Scopus

—