| Issue |
Math. Model. Nat. Phenom.
Volume 11, Number 1, 2016
Reviews in mathematical modelling
|
|
|---|---|---|
| Page(s) | 1 - 25 | |
| DOI | https://doi.org/10.1051/mmnp/201611101 | |
| Published online | 03 December 2015 | |
Methods of Blood Flow Modelling
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
⋆ Corresponding author. E-mail: volpert@math.univ-lyon1.fr
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.
Mathematics Subject Classification: 92C35 / 76A10 / 76M12 / 76Z05 / 70-08 / 35L40
Key words: blood rheology / shear thinning / viscoelasticity / dissipative particle dynamics / global circulation
© EDP Sciences, 2016
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.