MATHEMATICAL-MODEL OF THE BLOOD-COAGULATI ON SYSTEM INTRINSIC PATHWAY

A mathematical model of the blood coagulation system intrinsic pathway is developed based on a reaction cascade scheme with two positive fee dbacks. The model describes quantitatively well-known experimental dat a on blood plasma coagulation kinetics for various levels of activatio n and varying calcium concentrations. In the limit of experimental var iety of the values of the rate for individual stages of coagulation ca scade, obtained in [5-12], a good agreement with experimental data was shown for two discrete sets of the constants. THe model relates unamb iguously the threshold properties in coagulation activation by calcium with existence of the activation threshold. The model allows numerica l estimates of the threshold activation values for various calcium con centrations. At calcium concentration of 0,2 mM, corresponding to norm al calcium content in blood, the activation threshold is equal to 0,00 016 nM and 0,0019 nM of Factor XIa for the first and the second sets o f the system parameters, respectively.