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The bacteria E. coli maneuvers itself to regions with high chemoattractant concentrations by performing two stereotypical moves. In one, referred to as a `run', it moves in near straight lines while in the other, termed `tumble' it changes direction randomly. The length of each move is controlled by the chemoattractant concentration the bacteria experienced in its past. This makes the process non-Markovian. In the talk the steady-state behavior of the chemotactic behavior will be analyzed by including correlations and the contribution from the tumbling state systematically in one spacial dimension. The possible range of behaviors found is very rich and depends in a subtle manner on various details of the system. Our results differ significantly for past treatments of this system. |
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