153 citations · 1.4k across the 38 of their papers we have counts for
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Jeans type instability for a chemotactic model of cellular aggregation
Pierre-Henri Chavanis
We consider an inertial model of chemotactic aggregation generalizing the Keller-Segel model and we study the linear dynamical stability of an infinite and homogeneous distribution…
Jeans type analysis of chemotactic collapse
Pierre-Henri Chavanis, Clement Sire
We perform a linear dynamical stability analysis of a general hydrodynamic model of chemotactic aggregation [Chavanis & Sire, Physica A, in press (2007)]. Specifically, we study th…
Kinetic and hydrodynamic models of chemotactic aggregation
Pierre-Henri Chavanis, Clement Sire
We derive general kinetic and hydrodynamic models of chemotactic aggregation that describe certain features of the morphogenesis of biological colonies (like bacteria, amoebae, end…
Critical mass of bacterial populations and critical temperature of self-gravitating Brownian particles in two dimensions
Pierre-Henri Chavanis
We show that the critical mass M_c=8πof bacterial populations in two dimensions in the chemotactic problem is the counterpart of the critical temperature T_c=GMm/4k_B of self-gravi…
Phase separation of bacterial colonies in a limit of high degradation. Analogy with Jupiter's great red spot
P. H. Chavanis
We discuss the structure of the equilibrium states of a regularized Keller-Segel model describing the chemotaxis of bacterial populations. We consider the limit of high degradation…