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Cell mass concentration variance resulting from fluctuations in the incoming nutrient concentration to a chemostat

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Abstract

The cellular response in terms of steady-state variance of cell mass concentration to fluctuations in incoming nutrient concentration to a chemostat has been examined. A white noise process is assumed to describe incoming nutrient concentration fluctuations and the variance of cell mass concentration has been found to depend on cell yield (a lumped measure of nutrient concentration fluctuation magnitude and lifetime) and two system time constants.

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Author notes

  1. R. Armstrong

    Present address: Sandia National Laboratories, 94550, Livermore, CA, USA

Authors and Affiliations

  1. Department of Chemical Engineering, Carnegie-Mellon University, 15213, Pittsburgh, PA, USA

    M. M. Domach, R. Armstrong & M. S. Jhon

Authors
  1. M. M. Domach
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  2. R. Armstrong
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  3. M. S. Jhon
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Domach, M.M., Armstrong, R. & Jhon, M.S. Cell mass concentration variance resulting from fluctuations in the incoming nutrient concentration to a chemostat. Bltn Mathcal Biology 47, 337–342 (1985). https://doi.org/10.1007/BF02459920

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