Baldwin1994 - Nondimensionalized Model of Thrombin Production

Model Identifier
MODEL1806010001
Short description
First mathematical model of thrombin production in flowing blood. Nondimensionalised ODE model has been curated.
Format
SBML
(L2V4)
Related Publication
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A mathematical model of thrombin production in blood coagulation, Part I: The sparsely covered membrane case.
- Susan A. Baldwin, Diran Basmadjian
- Annals of Biomedical Engineering , 7/ 1994 , Volume 22 , Issue 4 , pages: 357–370 , DOI: 10.1007/BF02368242
- Department of Mining and Metallurgical Engineering, McGill University, Montréal, Canada. Department of Chemical Engineering and Applied Chemistry, University of Toronto, Toronto, Canada
- This paper presents the first attempt to model the blood coagulation reactions in flowing blood. The model focuses on the common pathway and includes activation of factor X and prothrombin, including feedback activation of cofactors VIII and V by thrombin, and plasma inhibition of factor Xa and thrombin. In this paper, the first of two, the sparsely covered membrane (SCM) case is presented. This considers the limiting situation where platelet membrane binding sites are in excess, such that no membrane saturation or binding competition occurs. Under these conditions, the model predicts that the two positive feedback loops lead to multiple steady-state behavior in the range of intermediate mass transfer rates. It will be shown that this results in three parameter regions exhibiting very different thrombin production patterns. The model predicts the effect of flow on steady-state and dynamic thrombin production and attempts to explain the difference between venous and arterial thrombi. The reliance of thrombin production on precursor procoagulant protein concentrations is also assessed.
Contributors
Submitter of the first revision: Matthew Roberts
Submitter of this revision: Matthew Roberts
Modellers: Matthew Roberts
Submitter of this revision: Matthew Roberts
Modellers: Matthew Roberts
Metadata information
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occursIn (1 statement)
isDescribedBy (1 statement)
occursIn (1 statement)
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Curation status
Non-curated
Tags
Connected external resources
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Model files |
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Baldwin1994.xml | SBML L2V4 representation of Baldwin1994 - Nondimensionalized Model of Thrombin Production | 27.40 KB | Preview | Download |
Additional files |
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Baldwin1994.cps | Curated and lightly annotated model COPASI file. Sign fixed for the second term (tau_2) of ODE for x3. Diffusion constant unknown, arbitrarily set to 1. Time scale off (Slight improvement if D << 1). | 46.19 KB | Preview | Download |
fig.jpg | Figure 7 a,b,c reproduced. Time scale off. | 24.07 KB | Preview | Download |