In order to confirm which process is the most important in the blood coagulation cascade, a dynamic model of the function of platelets in blood coagulation is provided based on biochemical experiments. A series of conclusions based on qualitative analysis and mathematical simulation are drawn about the influence of the activation rate of factor VIII and factor IX on the generation of thrombin (IIa). It is evident that the pro-coagulation stimulus must exceed a threshold value to initiate the coa ...[more]
Project description:System of ODEs to describe the behaviour of the activated factors of the extrinsic pathway of blood coagulation with the addition of the TFPI-Xa complex. Mass-action kinetics used with the only exception of factor IIa production (Michaelis-Menten rate law).
Project description:Mathematical model of blood coagulation with platelet activation. Model includes factor XII, factor VIIIa fragments, meizothrombin, kallikrein, C1-inhibitor, alpha1-Antitrypsin, alpha2-Antiplasmin, fibrinogen and fibrillin.
Project description:Inhomogeneous blood coagulation model. Encoded model contains reactions of the intrinsic pathway with platelet activation. Initial conditions provided. Mostly an extension of Zarnitsina1996.
Project description:Mathematical model of blood coagulation to simulate factor IIa, Va and Xa concentration profiles. Publication also illustrates the effect of hirudin on factor IIa, Va and Xa generation.
Project description:Mathematical model of blood coagulation. Reused Wajima2009 model with modifications to reactions 27 (formation of Va:Xa complex), 32 (Xa inhibition by TFPI) and 45 (Xa inhibition by TFPI-Heparin complex) as described in publication equations 2,3 and 4. Publication lists parameter sets to simulate Rivaroxaban, VKA and Enoxaparin (supplementary files).
Project description:Mathematical model of blood coagulation. Extension of Luan2007. New reactions, e.g., the activation of platelet by thrombin through PARs, the release of ADP and TXA2 from activated platelets, platelet activation by ADP and TXA2, the intrinsic pathway reactions, were added to the model.