Mathematical modelling of atherosclerosis

被引：16

作者：

El Khatib, N. ^{[1
]}

Kafi, O. ^{[2
]}

Sequeira, A. ^{[2
,3
]}

Simakov, S. ^{[4
,6
]}

Vassilevski, Yu ^{[4
,5
,6
]}

Volpert, V. ^{[7
,8
,9
]}

机构：

[1] Lebanese Amer Univ, Dept Comp Sci & Math, POB 36, Byblos, Lebanon

[2] Univ Lisbon, IST, CEMAT, Av Rovisco Pais 1, P-1049001 Lisbon, Portugal

[3] Univ Lisbon, Inst Super Tecn, Dept Matemat, Av Rovisco Pais 1, P-1049001 Lisbon, Portugal

[4] Moscow Inst Phys & Technol, 9 Inst Skii Lane, Dolgoprudnyi 141707, Russia

[5] Marchuk Inst Numer Math RAS, 7 Gubkina St, Moscow 119333, Russia

[6] Sechenov Univ, 8-2 Trubetskaya St, Moscow 119991, Russia

[7] Univ Lyon 1, Inst Camille Jordan, UMR 5208, CNRS, F-69622 Villeurbanne, France

[8] INRIA Lyon La Doua, INRIA Team Dracula, F-69603 Villeurbanne, France

[9] RUDN Univ, Peoples Friendship Univ Russia, 6 Miklukho Maklaya St, Moscow 117198, Russia

来源：

MATHEMATICAL MODELLING OF NATURAL PHENOMENA | 2019年 / 14卷 / 06期

关键词：

Atherosclerosis modelling; inflammation; hemodynamics; fluid-structure interaction; FRACTIONAL FLOW RESERVE; REACTION-DIFFUSION WAVES; QUANTITATIVE CORONARY-ANGIOGRAPHY; HUMAN ARTERIAL NETWORK; BLOOD-FLOW; NUMERICAL-SIMULATION; CEREBRAL AUTOREGULATION; HEMODYNAMIC PARAMETERS; COMPUTED-TOMOGRAPHY; PLAQUE MORPHOLOGY;

D O I：

10.1051/mmnp/2019050

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The review presents the state of the art in the atherosclerosis modelling. It begins with the biological introduction describing the mechanisms of chronic inflammation of artery walls characterizing the development of atherosclerosis. In particular, we present in more detail models describing this chronic inflammation as a reaction-diffusion wave with regimes of propagation depending on the level of cholesterol (LDL) and models of rolling monocytes initializing the inflammation. Further development of this disease results in the formation of atherosclerotic plaque, vessel remodelling and possible plaque rupture due its interaction with blood flow. We review plaque-flow interaction models as well as reduced models (0D and 1D) of blood flow in atherosclerotic vasculature.

引用

页数：25

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