Research

Model of Blood Circulation

The model is based on the set of differential equations: mass and momentum balance laws, state equation.

Fiber model of the elastic vessel wall

Simulation model of atherosclerotic plaque

Friendly graphical interface for models

Publications on haemodynamics:

Yu. Vassilevskii, S. Simakov, V. Salamatova, Yu. Ivanov, T. Dobroserdova. Numerical issues of modelling blood flow in networks of vessels with pathologies. Russian Journal of Numerical Analysis and Mathematical Modelling", Vol. 26, No. 6, 2011, pp. 605-622)

Y. Vassilevski, S. Simakov, V. Salamatova, Y. Ivanov, T. Dobroserdova. Vessel wall models for simulation of atherosclerotic vascular networks. Mathematical Modelling of Natural Phenomena, Vol. 6, No. 7, 2011, pp. 82-99

Y. Vassilevski, S. Simakov, V. Salamatova, Y. Ivanov, T. Dobroserdova. Blood flow simulation in atherosclerotic vascular network using fiber-spring representation of diseased wall. Mathematical Modelling of Natural Phenomena, Vol. 6, No. 5, 2011, pp. 333-349

Y.V. Vassilevski, S.S. Simakov, S.A. Kapranov. A multi-model approach to intravenous filter optimization. International Journal for Numerical Methods in Biomedical Engineering, V.26, pp.915-925, 2010

Y.A. Ivanov, T.K. Dobroserdova. Mathematical modelling of intravenous filter influnce on the blood system haemodymaics. Scientific and Technical Bulletin of St. Petersburg State University of IT, Mechanics and Optics, V.04(68), pp.94-98, 2010