Abstract <p>The work is devoted to mathematical modeling of the development of intravascular microcirculation disorders in the microcirculatory bed of the human circulatory system based on a model of physicochemical filtration of liquid in a deformable medium. The applicability of the filtration description of blood movement in capillaries is substantiated. The main factors of microcirculation disorders and capillary dilation are considered to be their thrombosis, embolism and sludge formation. An exact solution to the problem for the process of capillary dilation is obtained, and an analysis of the obtained solution is given.</p>