Development of numerical models and software for the simulation of various processes in biomedicine, including convective-diffusion transport, drug transport, blood flow through large and small blood vessels, simulating the movement of particles immersed in a fluid, modeling the behavior and transport of cancer cells, modeling drug-coated stents and balloons . Development of software for pre- and post-processing, and display of simulation results. The main areas of research are solving problems of fields of physical quantities, fluid mechanics, solid mechanics, solid-fluid interaction, cancer modeling, and modeling using the finite element method.