MATHEMATICAL MODELLING IN NATURAL SCIENCES AND LIFE SCIENCES:

- Dynamics and control in complex environments consisting of self-oscillatory, excitable and passive elements with applications to cardiology;
- Modelling of dynamics in neural networks;
- Large-scale modelling of the dynamics of a cardiac muscle.

Main results (comparable with the best world analogues):

- The mechanism of collective burst generation in various ensembles of spike neurons has been investigated;
- A method has been developed to search for quasioptimal signal (where the criterion of optimality is the minimum of energy) leading to the activation of the excitable element (neuron or cardiac cell);
- Mechanisms of occurrence of concentric and spiral waves, spiral waves chaos in non-uniform lattices of cardiac cells and the correspondence of these wave modes to synchronous and asynchronous conditions have been investigated;
- The effect of synchronous consecutive activity in the networks of inhibitor-connected neurons has been discovered;
- The mode of coexistence of a large number of synchronous modes in the ensembles of self-oscillatory systems modelling neural and cardiac activity has been discovered and investigated;
- A method for suppression of spiral wave chaos in the cardiac muscle has been developed.

Leading expert:

- Grigory Vladimirovich Osipov, D.Sc. (Physics and Mathematics).

Main technological and research equipment:

- Multiprocessor cluster of the Faculty of Computational Mathematics and Cybernetics with the following characteristics:
- Peak performance 2.7 TFLOPS,
- Total amount of core memory 256 Gb,
- 64 computing nodes,
- CPU: 2xIntel XEON 5150 Dual Core (4x2.66 Ghz cores),
- RAM: 4Gb DDR2;
- Analog-to-digital interface units of the type NI ELVIS with plug-in boards (National Instruments) – 6 pieces; DAQ-cards for data acquisition (National Instruments) – 7 pieces; specialized power supply unit UMP1503 (Quanser) – 1 piece;
- Installation for carrying out open - heart experiments.

Main partners:

- Nizhni Novgorod Medical Academy;
- Institute of Applied Physics of the Russian Academy of Sciences;
- Institute of Physics of the Academy of Sciences of Taiwan;
- Potsdam University (Germany);
- Taiwan National University;
- RIKEN Institute of Brain (Japan);
- University of California (USA).

Key projects (sources of financing):

- Projects of the Russian Foundation for Basic Research: 05-02-90567-NNS_ а , 08-02-97049-r_povolzhie_ а , 08-02-92004-NNS_ а .

Main publications:

-M.A. Komarov, G.V. Osipov, J.A.K. Suykens. Variety of synchronous regimes in neuronal ensembles. CHAOS, v.18, 2008.
- A.K. Kryukov, V.S. Petrov, L.S. Averyanova, G.V. Osipov, W. Chen, O.V. Drugova, C.K. Chan. Synchronization phenomena in mixed media of passive, excitable and oscillatory cells. CHAOS, v.18, 2008.
- V.S.Petrov, G.V.Osipov, J.A.K.Suykens, Passive elements influence on the dynamics of oscillatory ensembles of cardiac cells, Physical Review E, v.79,2009.
- M.A. Komarov, G.V. Osipov, J.A.K. Suykens, and M.I. Rabinovich, Numerical studies of slow rhythm emergence in neural microcircuits: bifurcations and stability, Chaos, v.19,2009.
- Kryukov A.K., Osipov G.V., Polovinkin A.V. Multistability of synchronous modes in ensembles of non-identical oscillators. Izv. VUZ «Applied Nonlinear Dynamics», Vol.17, 2009.

 

Our resources can help you to accelerate your business growth and profit!