Mathematical modeling of blood coagulation cascade: kinetics of intrinsic and extrinsic pathways in normal and deficient conditions.

A mathematical model has been developed to simulate the generation of thrombin through intrinsic and extrinsic pathways. The time course of clotting factor activation during coagulation was calculated, and the sensitivity of the kinetics due to a decrease or deficiency in the concentrations of coagulation proteins or their activities was studied. The model gives reasonable predictions without the adjustment of any parameter values. The calculated clotting time was approximately 44 s for the intrinsic pathway and approximately 8.6 s for the extrinsic pathway using normal protein concentrations in plasma. Various prolonged clotting times were observed in different factor-deficient disorders using this model.