Mathematical Models of Diffusion in Physiology
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Mathematical Models of Diffusion in Physiology
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physiological Research
ISSN
0862-8408
e-ISSN
1802-9973
Volume of the periodical
73
Issue of the periodical within the volume
Suppl.1
Country of publishing house
CZ - CZECH REPUBLIC
Number of pages
6
Pages from-to
"S471"-"S476"
UT code for WoS article
001295308400026
EID of the result in the Scopus database
2-s2.0-85202784798