Dueck, J.H., Pyl’nik, S.V. and Min’kov, L.L. (2002) Modeling of the evolution of a biofilm with allowance for its erosion. In: Modeling of Processes in Synergetic Systems, Tomskogo Gosudarstvennogo Universiteta, Tomsk, 245-248.

has been cited by the following article:

• TITLE: Mathematical modelling of a biofilm: The Adomian decomposition method

  AUTHORS: Subramanian Muthukaruppan, Alagu Eswari, Lakshmanan Rajendran

  KEYWORDS: Mathematical Modeling; Simulation; Adomian Decomposition Method; Initial Boundary Value Problems

  JOURNAL NAME: Natural Science, Vol.5 No.4, April 19, 2013

  ABSTRACT: A mathematical modelling by a biofilm under steady state conditions is discussed. The nonlinear differential Equations in biofilm reaction is solved using the Adomian decomposition method. Approximate analytical expressions for substrate concentration have been derived for all values of parameters δ and SL. These analytical results are compared with the available numerical results and are found to be in good agreement.