A model for the formation, growth, and dissolution of clots in vitro. Effect of the intrinsic pathway on antithrombin III deficiency and protein C deficiency

The mechanics of blood flow with clot formation, growth, and dissolution is affected by the biochemical reactions underlying clot formation, growth, and dissolution. A framework of models combining the biochemistry and mechanics of the phenomenon should include a model for the biochemistry underlying the same. A mathematical model to describe the biochemical changes underlying the formation, growth and dissolution of clots in vitro has been developed in Anand et al. (J Theor Biol 253(4):725–738, 2008). In this paper, the model is extended to include the equations for the intrinsic pathway thereby addressing a shortcoming of the previous model. The effect of the intrinsic pathway on clot formation, growth and dissolution in quiescent plasma, as well as the effect on the impact of ATIII and Protein C deficiencies on clot growth parameters is documented. The inclusion of the intrinsic pathway leads to faster appearance of the clot, and a larger clot. The intrinsic pathway has minimal impact on the effects of ATIII and Protein C deficiencies