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Unimodality of steady state distributions of growing cell populations

Da Costa, F.P. and Mcleod, J.B. and Grinfeld, M. (2001) Unimodality of steady state distributions of growing cell populations. Journal of Evolving Equations, 1 (4). pp. 405-409. ISSN 1424-3199

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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.