[Mathematical depiction of the kinetics of thrombocyte aggregation]

A study was made of a model of platelet aggregation in shear flow taking into account the kinetics of intercellular fibrinogen bond formation limited by the turning time of the doublet of collided platelets. The energy curve for two platelets was calculated. One fibrinogen bond was sufficient to form a doublet stable in the flow. The equation for the rate of single platelet disappearance with regard to the kinetics of intercellular fibrinogen bond formation, the stochastic character of bond distribution on the contacts of collided platelets, hydrodynamically controlled time of their interaction was derived. Approximation of the obtained dependencies for the platelet aggregation rate by Hill's equation was suggested and its parameters were determined. A qualitative criterion for kinetic behavior of the system of aggregating platelets was introduced.