A mathematical model of the kinetics of blood coagulation.
Linear mathematical models of the kinetics of blood coagulation have previously been presented (Levine, 1966, Science, N.Y. 152, 651; Martorana & Moro, 1974, Math. Biosci. 21, 77). In this paper a non-linear mathematical model of the extrinsic pathway of blood coagulation is presented to take into account a positive feedback. The feedback is due to factor Va as a co-factor involved in thrombin formation. The extrinsic pathway is shown to function as an amplifier cascade if a vessel wall injury exceeds a threshold value. For sub-threshold stimulation, the extrinsic pathway does not function.
Khanin
M A
MA
Biomedical Cybernetics Research Council, Academy of Medical Sciences, Moscow, USSR.
Semenov
V V
VV
D001777:Blood Coagulation; D007700:Kinetics; D008433:Mathematics; D008954:Models, Biological