A simplified mathematical model for thrombin generation
Papadopoulos, Konstantinos, Gavaises, M. & Atkin, C. (2014). A simplified mathematical model for thrombin generation. Medical Engineering and Physics, 36(2), pp. 196-204. doi: 10.1016/j.medengphy.2013.10.012
Abstract
A new phenomenological mathematical model based directly on laboratory data for thrombin generation and having a patient-specific character is described. A set of the solved equations for cell-based models of blood coagulation that can reproduce the temporal evolution of thrombin generation is proposed; such equations are appropriate for use in computational fluid dynamic (CFD) simulations. The initial values for the reaction rates are either taken from already existing model or experimental data, or they can obtained from simple reasoning under certain assumptions; it is shown that coefficients can be adjusted in order to fit a range of different thrombin generation curves as derived from thrombin generation assays. The behaviour of the model for different platelet concentration seems to be in good agreement with reported experimental data. It is shown that the reduced set of equations used represents to a good approximation a low-order model of the detailed mechanism and thus it can represent a cost-effective and-case specific mathematical model of coagulation reactions up to thrombin generation.
Publication Type: | Article |
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Additional Information: | © 2014, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/ |
Publisher Keywords: | CFD, Coagulation, Simulation, Thrombus |
Subjects: | Q Science > QA Mathematics T Technology > TJ Mechanical engineering and machinery |
Departments: | School of Science & Technology > Engineering |
SWORD Depositor: |
Available under License : See the attached licence file.
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