Kinetic modelling of colonies of myxobacteria

A new kinetic model for the dynamics of myxobacteria colonies on flat surfaces is derived formally, and first analytical numerical results are presented. The based assumption hard binary collisions two different types: alignment reversal. We investigate versions: a) realistic rod-shaped bacteria b) artificial circular shaped called Maxwellian myxos in reference to similar simplification gas Boltzmann equation Maxwellian molecules. sum corresponding collision operators produces relaxation towards nematically aligned equilibria, i.e. groups polarized opposite directions. style='text-indent:20px;'>For spatially homogeneous a global existence uniqueness result proved as well exponential decay equilibrium special initial conditions myxos. Only partial available case. These illustrated by simulations, formal discussion macroscopic limit style='text-indent:20px;'> style='text-indent:20px;'>Erratum: month information has been corrected from January February. apologize any inconvenience this may cause.