<p>This paper is devoted to mathematical modeling of the disorders in microcirculation of the human circulatory system resulting from thrombosis and other causes of capillary occlusion, based on a model of physical and chemical mechanics for fluid filtration in a deformable medium. The feasibility of using the filtration model to describe blood flow in capillaries is demonstrated. As the main factors causing microcirculation disorders, capillary wall damage, thrombosis, sludge, and embolism are considered. A rationale for the potential use of the proposed approach is considered. An exact solution to the problem in the simplest case is obtained, and an analysis of the resulting solution is provided.</p>