Equation of the aggregation rate of thrombocytes

A model of thrombocyte aggregation in shear flow is considered taking into account the kinetics of formation of intercellular fibrinogen bonds limited by the rotation time of the dimer of the colliding thrombocytes. For this model it is shown that the mean duration of the interaction of thrombocytes in flow with the shear speed G is equal to π 4G, one fibrinogen bond sufficing for the formation of a dimer stable in the flow. An equation of the rate of disappearance of single thrombocytes is obtained allowing for the kinetics of formation of intercellular fibrinogen bonds, the probabilistic character of the distribution of bonds over the contacts of the colliding thromboyctes and the hydrodynamically controlled time of their interaction. An approximation of the relations obtained is proposed for the aggregation rate of the thrombocytes by the Hill equation and its parameters defined. The qualitative criterion of the kinetic behaviour of the system of aggregating thrombocytes is introduced.