Personalized Computational Hemodynamics

Professor, corresponding member of Russian Academy of Sciences Yuri Vassilevski is the deputy director of Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences, the head of Laboratory of mathematical modelling in medicine of Sechenov University, the head of the department of computational technologies and modelling in geophysics and biomathematics at Moscow Institute of Physics and Technology and the head of the department of mathematics, mechanics and mathematical modelling at Sechenov University. He received his PhD Degree from Institute of Numerical Mathematics, Russian Academy of Science (1993) and second doctorate (Habilitation) in Mathematics at the same institute (2006). His research interests are in adaptive meshing, numerical analysis, mathematical modelling and scientific computing with applications in geophysics and biomedical engineering. From 2013 he serves as the Managing Editor of the Russian Journal of Numerical Analysis and Mathematical Modelling. Maxim Olshanskii is currently professor of Mathematics at the University of Houston. He also holds adjunct professorships at Department of Mathematics and Computer Science at Emory University. He was previously professor at the Department of Mathematics and Mechanics at Moscow State University. He received his PhD degree from Moscow State University (1997) and second doctorate (Habilitation) in Mathematics from the Institute of Numerical Mathematics, Russian Academy of Sciences (2006). His research interests are in numerical analysis and scientific computing, with applications to fluid problems, interface and free boundary problems, geometric PDEs, and cardiovascular models. He is a recipient of research awards by multiple agencies in USA, Russia and Germany as well as the Prize of the European Academy for Russian young scientists (2001). From 2014 he serves as the Managing Editor of the Journal of Numerical Mathematics. Sergey Simakov is the deputy chair of the department of computational physics, at Moscow Institute of Physics and Technology, associated professor of the department of computational physics at Moscow Institute of Physics and Technology, senior researcher of Laboratory of human physiology of Moscow Institute of Physics and Technology, senior researcher of Laboratory of mathematical modelling in medicine of Sechenov University and associated professor of the department of mathematics, mechanics and mathematical modelling at Sechenov University. He received his PhD degree from Moscow Institute of Physics and Technology (2006) in Mathematics. His research interests are in numerical methods, wave processes in a network, biological flows including cardiovascular and respiratory systems, biomedical engineering. PhD Andrey Kolobov is the scientific secretary of Lebedev Physical Institute of the Russian Academy of Sciences, senior scientist in Laboratory of Nonlinear Dynamics and Theoretical Biophysics He received his PhD Degree from Lomonosov Moscow State University in 2004. His research interests are mathematical modeling in oncology with account of tumor associated angiogenesis, nonlinear dynamics of complex systems, study of combustion processes such as flame ignition and deflagration. Andrey Kolobov works closely with Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences and Peoples' Friendship University of Russia. Alexander Danilov is the senior researcher at Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences, Laboratory of mathematical modelling in medicine of Sechenov University, and Laboratory of human physiology at Moscow Institute of Physics and Technology. He received his PhD Degree from Institute of Numerical Mathematics, Russian Academy of Sciences in 2010. He is a laureate of Russian academy of sciences medal with prizes for young scientists of Russian academy of sciences, other agencies and organizations of Russia for best work in 2011. His research interests are in mesh generation, image segmentation, mathematical modelling and scientific computing in biomedical engineering.

1. Introduction2. Basic facts about a human cardiovascular system3. Patient-specific geometric modelling4. General equations of motion5. 3D vascular and heart hemodynamics6. 0D lumped models7. 1D vascular hemodynamics 8. Hemodynamics in capillary networks and angiogenesis9. Applications in vascular surgery10. Applications in antitumor therapy11. Summary