Keller Mirella írása Galambos Péter életútjáról.

Chemotaxis, the orientedmovement of cells in response to ambient chemical gradients, is a prominent feature in the organization ofmany biological populations. Since the pioneer work of Keller and Segel [11] to propose mathematical models for chemotaxis, there has been great interest in modeling chemotaxis and in the mathematical analysis of systems like the Keller-Segel model. In this paper, mo...

Traveling wave (band) behavior driven by chemotaxis was observed experimentally by Adler and was modeled by Keller and Segel. For a quasilinear hyperbolic parabolic system that arises as a non-di®usive limit of the Keller Segel model with nonlinear kinetics, we establish the existence and nonlinear stability of traveling wave solutions with large amplitudes. The numerical simulations are perfor...

Abstract. We investigate nonlinear dynamics near an unstable constant equilibrium in the classical Keller-Segel model. Given any general perturbation of magnitude δ, we prove that its nonlinear evolution is dominated by the corresponding linear dynamics along a fixed finite number of fastest growing modes, over a time period of ln 1 δ . Our result can be interpreted as a rigourous mathematical ...