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      Productivity and equilibrium in simple biofilm models.

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      Bulletin of mathematical biology
      Springer Nature America, Inc

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          Abstract

          Biofilms are dense, sessile collections of microorganisms with complicated internal structures. However, in many applications internal details are less important, rather basic, averaged information such as overall community productivity are of most interest. This paper studies averaged community functions in the context of one dimensional, single species, single limiting substrate biofilm models. In particular, using a derived formula for flux of substrate into the biofilm as a function of biofilm height and substrate loading, overall community production can be calculated and system equilibria can be characterized. Consequences for equilibria dependence on a number of mechanisms for balancing growth are considered.

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          Author and article information

          Journal
          Bull. Math. Biol.
          Bulletin of mathematical biology
          Springer Nature America, Inc
          1522-9602
          0092-8240
          Dec 2012
          : 74
          : 12
          Affiliations
          [1 ] Department of Mathematics, Temple University, Philadelphia, PA 19122, USA. klapper@temple.edu
          Article
          10.1007/s11538-012-9791-4
          23161128
          8826e691-2ddc-4844-9934-518656233fe8
          History

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