Baldwin1994 - Nondimensionalized Model of Thrombin Production

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Model Identifier
Short description
First mathematical model of thrombin production in flowing blood. Nondimensionalised ODE model has been curated.
Related Publication
  • 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.
Submitter of the first revision: Matthew Roberts
Submitter of this revision: Matthew Roberts
Modellers: Matthew Roberts

Metadata information

isVersionOf (1 statement)
Gene Ontology blood coagulation

occursIn (1 statement)
Brenda Tissue Ontology blood plasma

isDescribedBy (1 statement)

Curation status


Connected external resources

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Model files

Baldwin1994.xml SBML L2V4 representation of Baldwin1994 - Nondimensionalized Model of Thrombin Production 27.40 KB Preview | Download

Additional files

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

  • Model originally submitted by : Matthew Roberts
  • Submitted: Jun 1, 2018 3:41:41 PM
  • Last Modified: Jun 1, 2018 3:41:41 PM
  • Version: 2 public model Download this version
    • Submitted on: Jun 1, 2018 3:41:41 PM
    • Submitted by: Matthew Roberts
    • With comment: Edited model metadata online.