A reduced equation mathematical model for blood coagulation and fibrinolysis in quiescent plasma

Daniel LaCroix

Abstract


A mathematical model for blood coagulation is comprised of a complex set of interactions between clotting components found in whole blood. Previous mathematical models have simulated coagulation by incorporating an everexpanding list of components and reactions to try and encapsulate as much of the process as possible. The goal of the work presented herein was to minimize thecomplexity without sacrificing accuracy. The final model presented uses 15 factors interacting within 8 partial‐differential equations to simulate the formation andsubsequent fibrinolysis of a clot in quiescent plasma. By adjusting the initial concentration of anti‐thrombin III, the model is able to replicate the size of the clot.Additionally, adjusting the degradation constant of fibrin due to plasmin in conjunction with the initial concentration of anti‐thrombin III, the model is able to closely follow the size and time of clot formation and degradation of a more complexcoagulation model.

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