Mathematical modeling in Biomedicine


Vitalii Volpert

Doctor of Sciences, professor, participant

Structural unit: S.M. Nikol’skii Mathematical Institute.

Scientific interests:

  • General theory of elliptic equations in unbounded domains
  • Mathematical theory of reaction-diffusion waves with applications in chemical kinetics and combustion
  • Investigation of nonlocal reaction-diffusion equations and delay equations
  • Detection and investigation of vibrational thermal explosion
  • Study of capillary phenomena in miscible liquids
  • Mathematical theory of the origin and evolution of biological species
  • Mathematical theory and modeling of biomedical processes: atherosclerosis and other chronic inflammation, blood clotting and thrombosis, cancer
  • Development of new methods of mathematical modeling in Biomedicine
  • Study of various biological and environmental issues: plant growth, morphogenesis, etc.

Thematics of the center:

  • Mathematical modeling in Immunology;
  • Mathematical modeling of cancer;
  • Mathematical modeling of blood clotting, thrombosis and other cardiovascular diseases;
  • Mathematical analysis and numerical simulation;
  • Nonlinear dynamics.
Main scientific directions
  • Cardiovascular diseases: atherosclerosis, blood clotting and thrombosis, cardiac arrhythmia, stroke.
  • Cancer: hematological diseases (leukemia, multiple myeloma), solid tumors.
  • Infectious diseases: HIV, tuberculosis, other diseases.
  • Neurodegenerative diseases: Alzheimer's disease, Parkinson's disease.
  • Transversal topic: mathematical analysis and numerical simulation of the corresponding models.