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Unimodality of steady size distributions of growing cell populations

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Abstract.

We consider an equation for the evolution of growing and dividing cells, and show, using a result of Kato and McLeod, that the probability density function for the stationary size distribution is necessarily unimodal.

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Authors and Affiliations

  1. Department of Mathematics, Instituto Superior Técnico, Lisboa, Portugal, , , , , , PT

    F. P. da Costa

  2. Department of Mathematics, University of Strathclyde, Glasgow, U.K., e-mail: michael@maths.strath.ac.uk, , , , , , UK

    M. Grinfeld

  3. Department of Mathematics, University of Pittsburgh, Pittsburgh, PA, , , , , , US

    J. B. McLeod

Authors
  1. F. P. da Costa
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  2. M. Grinfeld
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  3. J. B. McLeod
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Additional information

Received July 18, 2001; accepted August 29, 2001.

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da Costa, F., Grinfeld, M. & McLeod, J. Unimodality of steady size distributions of growing cell populations. J.evol.equ. 1, 405–409 (2001). https://doi.org/10.1007/PL00001379

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  • DOI: https://doi.org/10.1007/PL00001379

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