TURK 2025

The work is devoted to calculation of the mathematical model of filtration-reabsorption processes in capillaries. Blood flow through the circulatory system is accompanied by filtration-reabsorption processes of liquid in capillaries. It is known that the intercellular space contains water and salt solutions. Under normal conditions, the equilibrium between the volumes of filtration and reabsorption fluid is maintained. When hemodynamic factors that determine this equilibrium change, the volume of filtration fluid may exceed the volume of reabsorption fluid, which becomes the cause of tissue edema. In filtration-reabsorption processes, the direction and speed of fluid movement depends on the hydrostatic and oncotic pressure of the fluid in the tissue and in the capillary, as well as on the pore size of the capillary walls and the viscosity of the fluid. Using the known mathematical model and applying Smath Studio program, it is possible to calculate the influence of changes in the above hemodynamic parameters on filtration and reabsorption processes in capillaries and to analyze this phenomenon.
Thus, the use of the mathematical model allowed us to carry out a numerical experiment to study the influence of hemodynamic parameters on filtration and reabsorption processes. Calculation of the value of the coefficient determining the proportion of fluid retained in the intercellular space shows that with increasing hydrostatic pressure, falling oncotic pressure and increasing pore size there is an increase in this coefficient, which leads to tissue edema.