Blood Coagulation Simulations using a Viscoelastic Model. (31st July 2014)

• Record Type: Journal Article
• Authors: Sequeira, A.; Bodnár, T.
• Editors: Sequeira, A.; Volpert, V.
• Is Part Of: Mathematical modelling of natural phenomena. Volume 9:Number 6(2014)
• Page Start: 34
• Page End: 45
• Publication Date: 2014-07-31
• Subjects: blood coagulation, -- clot, -- viscoelastic model, -- numerical simulations; Science -- Mathematical models -- Periodicals; Medicine -- Mathematical models -- Periodicals; Biology -- Mathematical models -- Periodicals; 501.51
• DOI: 10.1051/mmnp/20149604
• Languages: English
• ISSNs: 0973-5348

Abstract

Abstract : This paper presents numerical results based on a macroscopic blood coagulation model coupled with a non-linear viscoelastic model for blood flow. The system of governing equations is solved using a central finite-volume scheme for space discretization and an explicit Runge-Kutta time-integration. An artificial compressibility method is used to resolve pressure and a non-linear TVD filter is applied for stabilization. A simple test case of flowing blood over a clotting surface in a straight 3D vessel is solved. This work presents a significant extension of the previous studies [10] and [9].