Geodesic
Methods of Blood Flow Modelling
N. Bessonov 1   ; A. Sequeira 2   ; S. Simakov 3 ,  4   ; Yu. Vassilevskii 3 ,  4   ; V. Volpert 5
1 Institute of Problems of Mechanical Engineering, Russian Academy of Sciences 199178 Saint Petersburg, Russia
2 Departamento de Matemática and CEMAT/IST Instituto Superior Técnico, Universidade de Lisboa Av. Rovisco Pais 1, 1049-001 Lisboa, Portugal
3 Moscow Institute of Physics and Technology, 9 Instituskii Lane, 141707 Dolgoprudny, Russia
4 Institute of Numerical Mathematics RAS, 7 Gubkina St., 119333 Moscow, Russia
5 Institut Camille Jordan, UMR 5208 CNRS, University Lyon 1, 69622 Villeurbanne, France
Mathematical modelling of natural phenomena, Tome 11 (2016) no. 1, pp. 1-25 Cet article a éte moissonné depuis la source EDP Sciences

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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.
DOI : 10.1051/mmnp/201611101

N. Bessonov  1   ; A. Sequeira  2   ; S. Simakov  3 , 4   ; Yu. Vassilevskii  3 , 4   ; V. Volpert  5

1 Institute of Problems of Mechanical Engineering, Russian Academy of Sciences 199178 Saint Petersburg, Russia
2 Departamento de Matemática and CEMAT/IST Instituto Superior Técnico, Universidade de Lisboa Av. Rovisco Pais 1, 1049-001 Lisboa, Portugal
3 Moscow Institute of Physics and Technology, 9 Instituskii Lane, 141707 Dolgoprudny, Russia
4 Institute of Numerical Mathematics RAS, 7 Gubkina St., 119333 Moscow, Russia
5 Institut Camille Jordan, UMR 5208 CNRS, University Lyon 1, 69622 Villeurbanne, France 
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N. Bessonov; A. Sequeira; S. Simakov; Yu. Vassilevskii; V. Volpert. Methods of Blood Flow Modelling. Mathematical modelling of natural phenomena, Tome 11 (2016) no. 1, pp. 1-25. doi: 10.1051/mmnp/201611101

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