ABSTRACT: Blood coagulation mathematical model derived from Chatterjee et al. (2010) and Hockin et al. (2002). Included various inhibitors: TFPI, ATIII, generic kallikrein inhibitor, C1-inhibitor, alpha1-antitrypsin and alpha2-antiplasmin.
Project description:Reused mathematical model (Hockin et al., 2002) of blood coagulation simulating the effects of coagulation factor inhibitors, fondaparinux (synthetic heparin) and Rivaroxaban. Fondaparinux (Fpx) simulated to reversibly bind with ATIII before irreversibly binding to Xa, IXa, mIIa, TF:VIIa, Xa:Va and IIa. Rivaroxaban simulated to bind reversibly to Xa and Xa:Va.
Project description:Blood coagulation model investigating effects of Xa-inhibitors (Rivaroxaban and Apixaban). Model is an extension of Pohl1994 and reduced from Wajima2009.
Encoding the model from the supplementary files results in 43 species, 82 reactions and 111 parameters. Including the drug (Xa-inhibitor) and drug-Xa complexes results in 46 species, 84 reactions and 115 parameters (+1 dummy variable to change inhibitory kinetic parameters depending on which drug is simulated). The publication lists there being 45 species, 84 reactions and 116 parameters. Publication figure 2 has 45 species present however the complex VIIa:Xa (reaction 51 involving Xa and VIIa) is not shown. This figure also has numerous small errors such as listing IXa:ATIII complex twice (instead of one being XIa:ATIII), not showing XIa:ATIII, typo ('Va' -> Va), typo (IXa + VIIIa -> IXA:'VIIa').
Rate laws for Xa-drug interactions were assumed to be mass action.
Project description:Simulation results using a stochastic approach to Hockin et al. (2002) mathematical model of the blood coagulation cascade that had been previously simulated using a deterministic method.
Project description:This model is from the article:
A model for the stoichiometric regulation of blood coagulation.
Hockin MF, Jones KC, Everse SJ, Mann KG.
Journal of Biological ChemistryVolume 277, Issue 21, 24 May 2002, Pages 18322 -18333
We have developed a model of the extrinsic blood coagulation system that includes the stoichiometric anticoagulants. The model accounts for the formation, expression, and propagation of the vitamin K-dependent procoagulant complexes and extends our previous model by including: (a) the tissue factor pathway inhibitor (TFPI)-mediated inactivation of tissue factor (TF).VIIa and its product complexes; (b) the antithrombin-III (AT-III)-mediated inactivation of IIa, mIIa, factor VIIa, factor IXa, and factor Xa; (c) the initial activation of factor V and factor VIII by thrombin generated by factor Xa-membrane; (d) factor VIIIa dissociation/activity loss; (e) the binding competition and kinetic activation steps that exist between TF and factors VII and VIIa; and (f) the activation of factor VII by IIa, factor Xa, and factor IXa. These additions to our earlier model generate a model consisting of 34 differential equations with 42 rate constants that together describe the 27 independent equilibrium expressions, which describe the fates of 34 species. Simulations are initiated by "exposing" picomolar concentrations of TF to an electronic milieu consisting of factors II, IX, X, VII, VIIa, V, and VIIII, and the anticoagulants TFPI and AT-III at concentrations found in normal plasma or associated with coagulation pathology. The reaction followed in terms of thrombin generation, proceeds through phases that can be operationally defined as initiation, propagation, and termination. The generation of thrombin displays a nonlinear dependence upon TF, AT-III, and TFPI and the combination of these latter inhibitors displays kinetic thresholds. At subthreshold TF, thrombin production/expression is suppressed by the combination of TFPI and AT-III; for concentrations above the TF threshold, the bolus of thrombin produced is quantitatively equivalent. A comparison of the model with empirical laboratory data illustrates that most experimentally observable parameters are captured, and the pathology that results in enhanced or deficient thrombin generation is accurately described.
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).