An adjoint‐based method for the computation of gradients in coagulation schemes

An adjoint‐based methodology is proposed to compute the gradient of the outcomes of mathematical models for the coagulation cascade. The method is first exposed and validated by considering a simple, analytically tractable case involving only 3 species. Its potential is further illustrated by consid...

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Bibliographic Details
Published inInternational journal for numerical methods in biomedical engineering Vol. 39; no. 5; pp. e3698 - n/a
Main Author Nicoud, Franck
Format Journal Article
LanguageEnglish
Published Hoboken, USA John Wiley & Sons, Inc 01.05.2023
Wiley Subscription Services, Inc
John Wiley and Sons
Subjects
adjoint method
Blood Coagulation
Chemical reactions
Chemical speciation
Clotting
Coagulation
coagulation cascade
Engineering Sciences
Mathematical models
sensitivity analysis
Thrombin
sensitivity analysis
adjoint method
coagulation cascade
coagulation scheme
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Summary:An adjoint‐based methodology is proposed to compute the gradient of the outcomes of mathematical models for the coagulation cascade. The method is first exposed and validated by considering a simple, analytically tractable case involving only 3 species. Its potential is further illustrated by considering a detailed model for the extrinsic pathway involving 34 chemical species interacting through 45 chemical reactions and for which the gradient of Endogeneous Thrombin Potential, clotting time, maximum rate and peak value of thrombin with respect to the initial concentrations and reactions rates are computed. It is shown that the method produces gradients estimates that are fully consistent with the finite differences approximation used so far in the literature, but at a much lower computational cost.
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ISSN:2040-7939
2040-7947
DOI:10.1002/cnm.3698