Mathematical Modeling of Microcirculation Disorders in the Human Circulatory System

The work is devoted to mathematical modeling of microcirculation disorders in the human circulatory system based on the model of physical and chemical filtration of liquid in a deformable medium with double porosity. Thrombosis, sludge and embolism are considered as the main factors of microcirculat...

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Bibliographic Details
Published inLobachevskii journal of mathematics Vol. 45; no. 12; pp. 6470 - 6475
Main Authors Andreicheva, E. N., Khramchenkov, M. G.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.12.2024
Springer Nature B.V
Subjects
Algebra
Analysis
Circulatory system
Disorders
Exact solutions
Formability
Geometry
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Modelling
Probability Theory and Stochastic Processes
Thrombosis
filtration
thrombosis
sludge
capillaries
deformations
biporous medium
intravascular microcirculation disorders
2010 Mathematics Subject Classification: 68M20, 68M99
pressure
mass transfer
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Summary:The work is devoted to mathematical modeling of microcirculation disorders in the human circulatory system based on the model of physical and chemical filtration of liquid in a deformable medium with double porosity. Thrombosis, sludge and embolism are considered as the main factors of microcirculation disorders. The substantiation of the possibility of using the proposed approach is considered. An exact solution in the simplest case to one-dimensional problem is obtained, and an analysis of the obtained solution is given.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080224607707