Possible research titles

• Reduced order mathematical modeling of the cardiovascular and respiratory systems, transport and control processes.
• The analysis of blood flow in the human body before and after vascular operations on removing stenoses, cardiac function in the presence of pathologies, microcirculation in the presence of tumor angiogenesis, metabolism during intensive physical exercise.

Supervisor’s research interests

The research covers reduced order mathematical modeling of the cardiovascular and respiratory systems, transport and control processes. Applications include the analysis of blood flow in the human body before and after vascular operations on removing stenoses, cardiac function in the presence of pathologies, microcirculation in the presence of tumor angiogenesis, metabolism during intensive physical exercise, etc.

Research highlights

The research is performed in collaboration with partners from Institue of Numerical Mathematics RAS, Shanghai Jiao Tong University and King’s College London. Applied tasks for mathematical modeling are stated in collaboration with medical partners from Sechenov University and Bakulev Scientific Center of Cardiovascular Surgery.

Main publications

• Y Vassilevski, M Olshanskii, S Simakov, A Kolobov, A Danilov, Personalized Computational Hemodynamics: Models, Methods, and Applications for Vascular Surgery and Antitumor Therapy, Academic Press, 2020
• Personalized computational estimation of relative change in coronary blood flow after percutaneous coronary intervention in short-term and long-term perspectives,November 2022, Russian Journal of Numerical Analysis and Mathematical Modelling 37(5):279-291, DOI:10.1515/rnam-2022-0024
• SS Simakov, Modern methods of mathematical modeling of blood flow using reduced order methods, Computer Research and Modeling, 10(5), p.581-604, 2018
• S. Simakov. Blood flow from competent tributaries is likely contributor to distally increasing reflux volume in incompetent great saphenous vein May 2021 DOI:10.1016/j.jvsv.2021.04.010 )
• S. Simakov. Analysis of the impact of left ventricular assist devices on the systemic circulation DOI:10.1515/rnam-2020-0025