Methods of Blood Flow Modelling

Nikolay Bessonov 1 Adélia Sequeira 2 Sergey Simakov 3 Yuri Vassilevski 4 Vitaly Volpert 5
1 IPME - Institute of Mechanical Engineering Problems [St. Petersburg]
2 Instituto Superior Técnico, Universidade Técnica de Lisboa
3 MIPT - Moscow Institute of Physics and Technology [Moscow]
4 INM-RAS - Institute of Numerical Mathematics [Moscou]
5 DRACULA - Multi-scale modelling of cell dynamics : application to hematopoiesis
CGPhiMC - Centre de génétique et de physiologie moléculaire et cellulaire, Inria Grenoble - Rhône-Alpes, ICJ - Institut Camille Jordan [Villeurbanne]
Abstract : This review is devoted to recent developments in blood flow modelling. It begins with the discussion of blood rheology and its non-Newtonian properties. After that we will present some modelling methods where blood is considered as a heterogeneous fluid composed of plasma and blood cells. Namely, we will describe the method of Dissipative Particle Dynamics and will present some results of blood flow modelling. The last part of this paper deals with one-dimensional global models of blood circulation. We will explain the main ideas of this approach and will present some examples of its application.
Keywords : global circulation dynamics blood rheology shear thinning viscoelasticity dissipative particle
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Article dans une revue
Mathematical Modelling of Natural Phenomena, EDP Sciences, 2016, 11, pp.1 - 25. 〈10.1051/mmnp/201611101〉
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Nikolay Bessonov, Adélia Sequeira, Sergey Simakov, Yuri Vassilevski, Vitaly Volpert. Methods of Blood Flow Modelling. Mathematical Modelling of Natural Phenomena, EDP Sciences, 2016, 11, pp.1 - 25. 〈10.1051/mmnp/201611101〉. 〈hal-01397437〉

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