A new mathematical model for effectiveness factors in biofilm under toxic conditions

V. Meena, K. Indira, Sunil Kumar, L. Rajendran

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

A mathematical model for biofilms inhibition for steady-state conditions is discussed. The model involves the reaction-diffusion equations which have variety of non-linear reaction rate functions for various types of inhibition. Simple and an approximate polynomial expression of concentration and effectiveness factor are derived for general non-linear monod kinetics models. Comparison of the analytical results and numerical simulation is also presented. A good agreement between theoretical predictions and numerical results is observed. The concentrations and the effectiveness factors are also computed for the limiting cases of monod kinetics models. The optimum value of the parameters for effectiveness factors is also discussed.

Original languageEnglish
Pages (from-to)917-928
Number of pages12
JournalAlexandria Engineering Journal
Volume53
Issue number4
DOIs
Publication statusPublished - 01-01-2014

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Biofilms
Mathematical models
Kinetics
Reaction rates
Polynomials
Computer simulation

All Science Journal Classification (ASJC) codes

  • Engineering(all)

Cite this

Meena, V. ; Indira, K. ; Kumar, Sunil ; Rajendran, L. / A new mathematical model for effectiveness factors in biofilm under toxic conditions. In: Alexandria Engineering Journal. 2014 ; Vol. 53, No. 4. pp. 917-928.
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A new mathematical model for effectiveness factors in biofilm under toxic conditions. / Meena, V.; Indira, K.; Kumar, Sunil; Rajendran, L.

In: Alexandria Engineering Journal, Vol. 53, No. 4, 01.01.2014, p. 917-928.

Research output: Contribution to journalArticle

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