Mathematical Models of Diffusion in Physiology

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985823%3A_____%2F24%3A00598244" target="_blank" >RIV/67985823:_____/24:00598244 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.biomed.cas.cz/physiolres/pdf/2024/73_S471.pdf" target="_blank" >https://www.biomed.cas.cz/physiolres/pdf/2024/73_S471.pdf</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.33549/physiolres.935292" target="_blank" >10.33549/physiolres.935292</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Mathematical Models of Diffusion in Physiology

Popis výsledku v původním jazyce

Diffusion is a mass transport phenomenon caused by chaotic thermal movements of molecules. Studying the transport in specific domain is simplified by using evolutionary differential equations for local concentration of the molecules instead of complete information on molecular paths [1]. Compounds in a fluid mixture tend to smooth out its spatial concentration inhomogeneities by diffusion. Rate of the transport is proportional to the concentration gradient and coefficient of diffusion of the compound in ordinary diffusion. The evolving concentration profile c(x,t) is then solution of evolutionary partial differential equation where D is diffusion coefficient and Δ is Laplacian operator. Domain of the equation may be a region in space, plane or line, a manifold, such as surface embedded in space, or a graph. The Laplacian operates on smooth functions defined on given domain. We can use models of diffusion for such diverse tasks as: a) design of method for precise measurement of receptors mobility in plasmatic membrane by confocal microscopy [2], b) evaluation of complex geometry of trabeculae in developing heart [3] to show that the conduction pathway within the embryonic ventricle is determined by geometry of the trabeculae.

Název v anglickém jazyce

Mathematical Models of Diffusion in Physiology

Popis výsledku anglicky

Diffusion is a mass transport phenomenon caused by chaotic thermal movements of molecules. Studying the transport in specific domain is simplified by using evolutionary differential equations for local concentration of the molecules instead of complete information on molecular paths [1]. Compounds in a fluid mixture tend to smooth out its spatial concentration inhomogeneities by diffusion. Rate of the transport is proportional to the concentration gradient and coefficient of diffusion of the compound in ordinary diffusion. The evolving concentration profile c(x,t) is then solution of evolutionary partial differential equation where D is diffusion coefficient and Δ is Laplacian operator. Domain of the equation may be a region in space, plane or line, a manifold, such as surface embedded in space, or a graph. The Laplacian operates on smooth functions defined on given domain. We can use models of diffusion for such diverse tasks as: a) design of method for precise measurement of receptors mobility in plasmatic membrane by confocal microscopy [2], b) evaluation of complex geometry of trabeculae in developing heart [3] to show that the conduction pathway within the embryonic ventricle is determined by geometry of the trabeculae.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2024

Kód důvěrnosti údajů

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

Název periodika

Physiological Research

ISSN

0862-8408

e-ISSN

1802-9973

Svazek periodika

73

Číslo periodika v rámci svazku

Suppl.1

Stát vydavatele periodika

CZ - Česká republika

Počet stran výsledku

6

Strana od-do

"S471"-"S476"

Kód UT WoS článku

001295308400026

EID výsledku v databázi Scopus

2-s2.0-85202784798