Andrey A. Polezhaev
Doctor of Phys.&Math.Sciences, Scientific Secretary
phone: (499)132-6977, E-mail:
Non-linear dynamic systems, pattern formation and self-organization in biological and chemical systems

The main results
concern general problems of dissipative structure models, such as existence and stability of solutions, spatial mode selection, reduction of models and also mathematical models of specific biological and chemical systems demonstrating stationary pattern formation. Namely the models, explaining spatial patterning by bacterial colonies, Liesegang precipitation patterns, periodic patterning in vertebrates and light-triggered electro-chemical patterns on membranes of Charasean cells were suggested

At present
the main direction of research is investigation of Turing and non-Turing mechanisms of pattern formation; modelling of self-organization in biological and chemical systems including chemotactic cell aggregation, tumour growth, electro-chemical patterns on a cellular level and precipitation patterns

List of selected publications:
1. A.A.Polezhaev, S.C.Muller. Complexity of precipitation patterns: Comparison of simulation with experiment. Chaos, 1994, v.4(4), p.631-636.
2. A.A.Polezhaev. Phase waves in oscillatory media. Physica D, 1995, v.84, p.253-259.
3. A.A.Polezhaev. Mathematical modelling of the mechanism of vertebrate somitic segmentation. J.Biol.Syst., 1995, v.3(4), p.1041-1051.
4. A.B.Goryachev, A.A.Polezhaev, D.S.Chernavskii. Catastrophic extinction, noise-stabilized turbulence and unpredictability of competition in a modified Volterra-Lotka model. Chaos, 1996, v.6(1), p78-86.
5. A.A.Polezhaev, V.S.Zykov, S.C.Muller. Destabilization of cell aggregation under nonstationary conditions. Phys.Rev.E, 1998, v.58(5), p.6328-6332.
6. A.A.Polezhaev. Mathematical modelling of somite segmentation in vertebrates. In: Origin and Fate of Somites (ed. by E.J.Sanders, J.W.Lash and C.P.Ordahl), IOS Press: Amsterdam, 2001, p. 107-115.
7. A.V.Kolobov, A.A.Polezhaev, G.I.Solyanik. The role of cell motility in metastatic cell dominance phenomenon: analysis by a mathematical model. J.Theor.Med., 2001, v.3, p.63-77.
8. A.A.Bulychev, A.A.Polezhaev, S.V.Zykov, T.Yu.Pljusnina, G.Yu.Riznichenko, A.B.Rubin, W.Jantoss, V.S.Zykov, S.C.Muller. Light-triggered pH Banding Profile in Chara Cells Revealed with a Scanning pH Microprobe and its Relation to Self-Organization Phenomena. J.Theor.Biol., 2001, v.212, 275-294.

Last updated: November 5, 2001