[A simulated mathematical model of the blood coagulation system intrinsic pathway]

A mathematical model of the blood coagulation system intrinsic pathway is developed based on a reaction cascade scheme with two positive feedbacks. The model describes quantitatively well-known experimental data on blood plasma coagulation kinetics for various levels of activation and varying calcium concentrations. In the limit of experimental variety of the values of the rate for individual stages of coagulation cascade, obtained in [5-12], a good agreement with experimental data was shown for two discrete sets of the constants. The model relates unambiguously the threshold properties in coagulation activation by calcium with existence of the activation threshold. The model allows numerical estimates of the threshold activation values for various calcium concentrations. At calcium concentration of 0.2 mM, corresponding to normal calcium content in blood, the activation threshold is equal to 0.00016 nM and 0.0019 nM of Factor XIa for the first and the second sets of the system parameters, respectively.