Development of numerical models and software for the simulations of diverse phenomena in biomedicine, including simulations of blood flow through larger and smaller blood vessels, simulations of motion of particles immersed in fluid, multi-scale modeling of the behavior of cancer cells, modeling the process of canalithiasis in vestibular system, modeling the process of stent implantation in coronary arteries etc. Main research interests are in the area of fluid and computational mechanics; solid-fluid interaction, microfluidics, multi-scale cancer modeling, parallel computing and modeling using finite element and lattice Boltzmann method.