Remarks on a population-level model of chemotaxis: advection-diffusion approximation and simulations. Aminzare, Z. & Sontag, E. D. Technical Report arxiv:1302.2605, 2013. abstract bibtex This note works out an advection-diffusion approximation to the density of a population of E. coli bacteria undergoing chemotaxis in a one-dimensional space. Simulations show the high quality of predictions under a shallow-gradient regime.

@TECHREPORT{arxiv_aminzare_sontag_chemotaxis_advection_diffusion_feb2013,
AUTHOR = {Z. Aminzare and E. D. Sontag},
INSTITUTION = {arxiv:1302.2605},
TITLE = {Remarks on a population-level model of chemotaxis:
advection-diffusion approximation and simulations},
YEAR = {2013},
OPTADDRESS = {},
OPTMONTH = {},
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OPTNUMBER = {},
OPTTYPE = {},
PDF = {http://arxiv.org/pdf/1302.2605},
ABSTRACT = { This note works out an advection-diffusion
approximation to the density of a population of E. coli bacteria
undergoing chemotaxis in a one-dimensional space. Simulations show
the high quality of predictions under a shallow-gradient regime.}
}

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