Methods of Blood Flow Modelling
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...
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| Published in | Mathematical modelling of natural phenomena Vol. 11; no. 1; pp. 1 - 25 |
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| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
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Les Ulis
EDP Sciences
2016
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| Subjects | |
| Online Access | Get full text |
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| 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. |
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| AbstractList | 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. |
| Author | Volpert, V. Simakov, S. Bessonov, N. Vassilevskii, Yu Sequeira, A. |
| Author_xml | – sequence: 1 givenname: V. surname: Volpert fullname: Volpert, V. – sequence: 2 givenname: N. surname: Bessonov fullname: Bessonov, N. organization: Institute of Problems of Mechanical Engineering, Russian Academy of Sciences 199178 Saint Petersburg, Russia – sequence: 3 givenname: A. surname: Sequeira fullname: Sequeira, A. organization: Departamento de Matemática and CEMAT/IST Instituto Superior Técnico, Universidade de Lisboa Av. Rovisco Pais 1, 1049-001 Lisboa, Portugal – sequence: 4 givenname: S. surname: Simakov fullname: Simakov, S. organization: Moscow Institute of Physics and Technology, 9 Instituskii Lane, 141707 Dolgoprudny, Russia – sequence: 5 givenname: Yu surname: Vassilevskii fullname: Vassilevskii, Yu organization: Moscow Institute of Physics and Technology, 9 Instituskii Lane, 141707 Dolgoprudny, Russia – sequence: 6 givenname: V. surname: Volpert fullname: Volpert, V. email: volpert@math.univ-lyon1.fr organization: Institut Camille Jordan, UMR 5208 CNRS, University Lyon 1, 69622 Villeurbanne, France |
| BackLink | https://inria.hal.science/hal-01397437$$DView record in HAL |
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| Copyright | 2016. Notwithstanding the ProQuest Terms and conditions, you may use this content in accordance with the associated terms available at https://www.mmnp-journal.org/articles/mmnp/abs/2016/01/mmnp2016111p1/mmnp2016111p1.html . Distributed under a Creative Commons Attribution 4.0 International License |
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| Keywords | blood rheology dynamics dissipative particle global circulation viscoelasticity shear thinning |
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| Snippet | 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... |
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| SubjectTerms | 35L40 70-08 76A10 76M12 76Z05 92C35 Analysis of PDEs Blood cells Blood circulation Blood flow blood rheology dissipative particle dynamics global circulation Mathematics Modelling Rheological properties Rheology shear thinning viscoelasticity |
| Title | Methods of Blood Flow Modelling |
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