Mathematical Modeling of Microcirculation Disorders in the Human Circulatory System

• Published in: Lobachevskii journal of mathematics Vol. 45; no. 12; pp. 6470 - 6475
• Main Authors: Andreicheva, E. N., Khramchenkov, M. G.
• Format: Journal Article
• Language: English
• 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

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...