Mathematical Models of Blood Coagulation Kinetics

  • David L. Elliott
Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 162)


If a mammalian blood vessel is severed, it immediately contracts to limit the flow of blood. Within a few seconds cell-like blood platelets (about 1/8 the diameter of a red cell) touch the cut edges, break down, and aggregate into a plug-like mass. Then, in the stagnant blood near the injury, a complex cascade of proteolytic reactions takes place, resulting in the production of the enzyme thrombin, which changes fibrinogen into fibrin monomer; this polymerizes into fibrin strands which reinforce the platelet plug and form a blood clot. Later the clot contracts and is dissolved, while new cellular growth repairs the wound.


Bilinear System Fibrin Monomer Stagnant Blood Variable Structure System Platelet Plug 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1978

Authors and Affiliations

  • David L. Elliott
    • 1
  1. 1.Department of Systems Science and MathematicsWashington UniversitySt. LouisUSA

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