City Research Online

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
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:
[thumbnail of KPPap_1_MS_post_print.pdf]
Preview
Text - Accepted Version
Available under License : See the attached licence file.

Download (1MB) | Preview
[thumbnail of Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International Licence]
Preview
Text (Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International Licence) - Other
Download (201kB) | Preview

Export

Add to AnyAdd to TwitterAdd to FacebookAdd to LinkedinAdd to PinterestAdd to Email

Downloads

Downloads per month over past year

View more statistics

Actions (login required)

Admin Login Admin Login