Journal
EPL
Volume 111, Issue 6, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1209/0295-5075/111/60002
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Swimming bacteria exhibit a variety of motion patterns, in which persistent runs are punctuated by turning events. A simple yet fundamental question is to establish the properties of these random walks. While a complete answer is available when turning events follow a Poisson process, much less is known outside this particular case. We present a generic framework for such non-Poissonian run-and-turn motions. Extending the formalism of continuous time random walks, we obtain the generating function of moments in terms of noncommuting operators. We characterize analytically a bimodal model of persistent motion, which describes all types of swimming pattern, and is also relevant for cell motility. Copyright (C) EPLA, 2015
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