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--- haemodynamics [2012/11/16 10:44]
Tatyana Dobroserdova
+++ haemodynamics [2018/07/26 13:08] (current)
Admin
@@ Line 5: / Line 5: @@
 {{:sysart_edges.png?nolink&200|}}
-The model is based on the set of differential equations: mass and momentum balance laws, state equation. The vessels are connected with each other at the nodes and with the heart inlets/outlets through the boundary conditions set that is formed by Poiseuille's pressure drop conditions, mass balance equation combined with the appropriate compatibility condition. The model allows us to calculate pressure and velocity of blood everywhere in the cardiovascular system, cross section of every vessel in any moment of time.
+The model is based on the set of differential equations: mass and momentum balance laws, state equation. The vessels are connected with each other at the nodes and with the heart inlets/outlets through the boundary conditions set that is formed by Poiseuille's pressure drop conditions, mass balance equation combined with the appropriate compatibility condition. The model allows us to calculate cross section of every vessel, pressure and velocity of blood everywhere in the cardiovascular system  in any moment of time. We can take into consideration hemorrhages, effects of different forces, the spread of drugs. To study influence of implants or pathologies on the blood flow we use more mathematical models.
 **Fiber model of the elastic vessel wall**
-{{:vessel_wall_a.png?nolink&200|}}
+{{:vessel_wall_a.png?nolink&300|}}
-The wall is represented by the set of fibers.
+The wall is represented by the set of fibers. We imitate the response of the elastic surface to a deformation as the response of fiber collection to the same deformation.
 {{:vessel_wall_b.png?nolink&300|}}
@@ Line 21: / Line 21: @@
 {{:blyaxi.png?nolink&300|}}
-Three-layer structure in the model corresponds to anatomy of real plaque. It allows us to reproduce elastic properties of atherosclerotic vessel wall.
+Three-layer structure in the model corresponds to anatomy of real plaque. The wall and fibrous cap are represented by the set of fibers, lipid pool is represented by the set of springs. The model allows us to reproduce elastic properties of atherosclerotic vessel wall.
 **3D modelling of blood flow**
@@ Line 27: / Line 27: @@
 {{:3d.png?nolink&300|}}
-This method is based on the system of Navier-Stokes equations and allows us to describe blood flows in details in the domain of interest (for example near the cava-filter with thrombus).
+This method is based on the system of Navier-Stokes equations and allows us to describe blood flow in details in the domain of interest (for example near the cava-filter with thrombus).
@@ Line 35: / Line 35: @@
 **Modelling of blood flow in networks of vessels with pathologies**
-All this cases, atherosclerosis and placed implants such as cava-filters and stents,
 {{:dscn1808.jpg?nolink&300|}} {{:dscn1849.jpg?nolink&291|}}
-can be taken into consideration by the model of blood circulation. Effects on the global blood flow can be calculated.
+Atherosclerosis and placed implants such as cava-filters and stents can be taken into consideration by the model of blood circulation in two ways:\\
+)through the state equation. This pressure dependence of cross section can be modified by means of fiber model of the elastic vessel wall or by the model of atherosclerotic plaque.\\
+)we describe blood flow in 3D domain of interest and couple it with the 1D model of global blood circulation.
 **Friendly graphical interface for models**
@@ Line 48: / Line 48: @@
 Touchpad for work with models and for visualization of results.
+{{youtube>ger-MRVgTxA?size=240x320&autoplay=1&rel=0}}\\
+{{youtube>HNHGxhxhF5w?size=360x240&autoplay=1&rel=0}}
+{{youtube>bZBhWqChus8?size=360x240&autoplay=1&rel=0}}\\
 **Team members:**
 Vassilevski Yuri (INM RAS),
-Simakov Sergey (MIPT),
+[[http://www.researchgate.net/profile/Sergey_Simakov2/|Simakov Sergey]]
+([[http://www.mipt.ru/en/|MIPT]]),
+[[http://www.math.uh.edu/~molshan/|Maxim Olshanskii]] ([[http://www.uh.edu|University of Houston]]),
 Salamatova Victoria (SEC INM RAS),
-Ivanov Yuri (INM RAS),
 Dobroserdova Tatiana (MSU),
-Kramarenko Vasiliy (MIPT)
+Kramarenko Vasiliy (MIPT),
+Gamilov Timur (MIPT),
+Pryamonosov Roman (INM RAS)
 **Working group on mathematical models and numerical methods in biomathematics**
-[[http://dodo.inm.ras.ru/biomath/workgroup.html|http://dodo.inm.ras.ru/biomath/workgroup.html]]
+[[http://dodo.inm.ras.ru/biomath/|http://dodo.inm.ras.ru/biomath/]]
+**Ph.D. thesis**
+{{:thesis.pdf|Dobroserdova T. Mathematical Modelling of Blood Flow in the vessel network with pathologies or implants. (in Russian)}}
 **Publications on haemodynamics:**
-{{:vass.pdf|Yu. Vassilevskii, S. Simakov, V. Salamatova, Yu. Ivanov, T. Dobroserdova. Numerical issues of modelling blood flow in networks of vessels with pathologies. Russian Journal of Numerical Analysis and Mathematical Modelling", Vol. 26, No. 6, 2011, pp. 605-622)}}
+{{::fld_4241_rev_ev.pdf|T.Dobroserdova, M.Olshanskii, S.Simakov. Multiscale
+coupling of compliant and rigid walls blood
+flow models. Int. J. Numer. Meth. Fluids, Volume 82, Issue 12, 2016, pages 799–817
+doi: 10.1002/fld.4241 (2016).}}
+{{::gamilov_mini_blood_final.pdf|Computational simulations of fractional flow reserve variability.
+T.Gamilov,  Ph.Kopylov, S.Simakov.
+In:  Numerical Mathematics and Advanced Applications -  ENUMATH 2015
+(Bülent Karasözen, Murat Manguoglu, Münevver Tezer-Sezgin, Serdar Göktepe, Ömür Ugur eds.).
+Lecture Notes in Computational Science and Engineering,
+Springer, 2016 }}
+{{::VassilevskiGamilovKopylov.pdf|Yu.Vassilevski, T.Gamilov,  Ph.Kopylov
+Personalized computation of fractional flow reserve in  case of two consecuteve stenoses.
+In: Proceedings of VII European Congress on Computational Methods in Applied Sciences and Engineering
+   (M. Papadrakakis, V. Papadopoulos, G. Stefanou, V. Plevris eds.) 2016 }}
+{{::FFR_paper_eng.pdf|S.S.Simakov, T.M.Gamilov, Ph.Yu.Kopylov, Yu.V.Vassilevski
+Computational study of multivessel coronary disease:
+haemodynamic significance of stenoses in simulation.
+Bulletin of experimental biology and medicine, 162(7), 128-131, 2016 }}
+{{http://www.mmnp-journal.org/articles/mmnp/pdf/2016/01/mmnp2016111p1.pdf|
+N.Bessonov, A.Sequeira, S.Simakov, Yu.Vassilevski, V.Volpert,
+Methods of Blood Flow Modelling.
+Mathematical Modelling of Natural Phenomena, 11(1), 1-25, 2016 }}
+{{::TerArchive.pdf|Ph.Kopylov, A.Bykova, Yu.Vassilevski, S.Simakov.
+Role of measurement of fractional flow reserve  (FFR) in coronary artery atherosclerosis,
+ Therapeutic archive,  87(9), 106-113, 2015}}
+{{::rjnamm_gamilov15.pdf|T.M. Gamilov, P.Yu. Kopylov, R.A. Pryamonosov, S.S. Simakov. Virtual fractional flow reserve assessment in patient-specic coronary networks by 1D hemodynamic model. Russian Journal of Numerical Analysis and Mathematical Modelling. 30(5), 269–276 (2015)}}
+{{::rjnamm_vassilevski15.pdf|Yu.V. Vassilevski, A.A. Danilov, T.M. Gamilov, Yu.A. Ivanov, R.A. Pryamonosov, S.S. Simakov. Patient-specic anatomical models in human physiology. Russian Journal of Numerical Analysis and Mathematical Modelling. 30(3), 185–201 (2015)}}
+{{::cnm2754.pdf|A.A.Danilov, Yu.A.Ivanov, R.A.Pryamonosov, Yu.V.Vassilevski.
+Methods of graph network reconstruction in personalized medicine.
+Int.J.Numer.Meth.Biomed.Engng., e02754, 2015. Published online
+http://onlinelibrary.wiley.com/enhanced/doi/10.1002/cnm.2754}}
+{{::cmame_lozovskiy15.pdf|A. Lozovskiy, M.A. Olshanskii, V. Salamatova, Yu.V. Vassilevski. An unconditionally stable semi-implicit FSI finite element method. Computer Methods in Applied Mechanics and Engineering. Volume 297, pp. 437–454 (2015)}}
+{{::rjnamm_kolobov15.pdf|A.V. Kolobov, V.V. Gubernov, M.B. Kuznetsov. The study of antitumor ecacy of bevacizumab antiangiogenic therapy using a mathematical model. Russian Journal of Numerical Analysis and Mathematical Modelling. 30(5), 289–297 (2015)}}
+{{::rjnamm_beklemysheva15.pdf|K.A. Beklemysheva, A.A. Danilov, I.B. Petrov, V.Yu. Salamatova, Yu.V. Vassilevski, A.V. Vasyukov. Virtual blunt injury of human thorax: age-dependent response of vascular system. Russian Journal of Numerical Analysis and Mathematical Modelling. 30(5), 259–268 (2015)}}
+{{:m101231.pdf|I. Konshin, M. Olshanskii, Yu. Vassilevski. ILU Preconditioners for Nonsymmetric Saddle-Point Matrices with Application to the Incompressible Navier–Stokes Equations. SIAM Journal on Scientific Computing. 37(5), A2171–A2197, (2015)}}
+{{:mmnp_gamilovivanov14.pdf|T. Gamilov, Yu. Ivanov, P. Kopylov, S. Simakov, Yu. Vassilevski. Patient specific haemodynamic modeling after occlusion treatment in leg. Mathematical Modelling of Natural Phenomena. 9(6), 85--97 (2014)}}
+{{:rjnamm_simakovgamilov13.pdf|S. Simakov, T. Gamilov, Y.N. Soe. Computational study of blood flow in lower extremities under intense physical load. Russian Journal of Numerical Analysis and Mathematical Modelling. 28(5), 485--504 (2013)}}
+{{:dobroserdolshan.pdf|T. Dobroserdova, M. Olshanskii. A finite element solver and energy stable coupling for 3D and 1D fluid models. Computer Methods in Applied Mechanics and Engineering. Volume 259, pp. 166 -- 176 (2013)}}
+{{:vass.pdf|Yu. Vassilevskii, S. Simakov, V. Salamatova, Yu. Ivanov, T. Dobroserdova. Numerical issues of modelling blood flow in networks of vessels with pathologies. Russian Journal of Numerical Analysis and Mathematical Modelling, Vol. 26, No. 6, 2011, pp. 605-622}}
 {{:mmnp-vassilevski-09.pdf|Y. Vassilevski, S. Simakov, V. Salamatova, Y. Ivanov, T. Dobroserdova. Vessel wall models for simulation of atherosclerotic vascular networks. Mathematical Modelling of Natural Phenomena, Vol. 6, No. 7, 2011, pp. 82-99}}
@@ Line 78: / Line 144: @@
 Scientific and Technical Bulletin of St. Petersburg State University of IT, Mechanics and
 Optics, V.04(68), pp.94-98, 2010}}

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