ИСТИНА

The work is devoted to mathematical modeling of blood coagulation. In case of vessel damage proteolytic enzymatic cascade is launched resulting in formation of fibrin clot on the injury site. Kinetics of clot formation is determined by the distribution of thrombin concentration in blood flow. Any alternations in thrombin formation lead to serious physiological aggravations. Propagating from the injury site with constant speed, thrombin formation can be described as a reaction‐diffusion wave. We consider a mathematical model of the coagulation cascade and study existence, stability and speed of propagation of its traveling wave solutions. We propose an analytical estimate of the speed of thrombin wave propagation using narrow reaction zone method developed in combustion theory. Using this method we also derive conditions on the thrombin inhibitor concentrations that can prevent clot growth and compare the obtained estimates both with more complex models and available experimental data.