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viiia inactivation

Mathematical Modelling of Natural Phenomena (1)

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Importance of VIIIa Inactivation in a Mathematical Model forthe Formation, Growth, and Lysis of Clots
P. P. Naidu, M. Anand
Journal:

Mathematical Modelling of Natural Phenomena / Volume 9 / Issue 6 / 2014

Published online by Cambridge University Press:

31 July 2014, pp. 17-33

Print publication:

2014
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We perform a sensitivity analysis for a thus far unstudied mathematical model for theformation, growth and lysis of clots in vitro. The sensitivity analysis procedure uses anensemble standard deviation for species concentrations, and is equivalent to a variancedecomposition procedure also available in the literature. Our analysis shows that fibrinproduction is most sensitive to the rate constant governing activation of prothrombin tothrombin. Further, the time-averaged sum of all species’ concentrations is most sensitiveto the rate constants governing the inactivation of VIIIa (intrinsic as well as by APC).We therefore conclude that the rate constants for VIIIa inactivation affect the model thegreatest: this conclusion must be experimentally verified to determine if such is indeedthe case for hemostasis.