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 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.

Authors

Institutions

Publication Details

Journal
Lobachevskii Journal of Mathematics
Published
2024-12-01
DOI
https://doi.org/10.1134/s1995080224607707
Primary Topic
Cardiovascular Health and Disease Prevention
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Mathematical Modeling of Microcirculation Disorders in the Human Circulatory System

M. G. Khramchenkov, E. N. Andreicheva
Lobachevskii Journal of Mathematics
Cardiovascular Health and Disease Prevention
article

Mathematical Modeling of Microcirculation Disorders in the Human Circulatory System

M. G. Khramchenkov, E. N. Andreicheva
article en

Abstract

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.

Lobachevskii Journal of MathematicsVol. 45(12)
Kazan State Medical University (RU), Kazan Federal University (RU), Kurchatov Institute (RU)
Openalex Percentile: Top 53%
Cardiovascular Health and Disease Prevention
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Mathematical Modeling of Microcirculation Disorders in the Human Circulatory System — M. G. Khramchenkov, E. N. Andreicheva · Lobachevskii Journal of Mathematics (2024) | TGRS Research Map | TGRS