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Computational and Mathematical Methods in Medicine
Volume 9, Issue 1, Pages 47-67
http://dx.doi.org/10.1080/17486700701797922
Original Article

Modeling and Simulation of a Bacterial Biofilm That Is Controlled by pH and Protonated Lactic Acids

Department of Mathematics and Statistics, University of Guelph, Guelph N1G 2W1, ON, Canada

Received 14 August 2006; Revised 11 October 2007; Accepted 25 October 2007

Copyright © 2008 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [9 citations]

The following is the list of published articles that have cited the current article.

  • Hermann J. Eberl, and Rangarajan Sudarsan, “Exposure of biofilms to slow flow fields: The convective contribution to growth and disinfection,” Journal of Theoretical Biology, vol. 253, no. 4, pp. 788–807, 2008. View at Publisher · View at Google Scholar
  • Hassan Khassehkhan, Messoud A. Efendiev, and Hermann J. Eberl, “A Degenerate Diffusion-Reaction Model Of An Amensalistic Biofilm Control System: Existence And Simulation Of Solutions,” Discrete And Continuous Dynamical Systems-Series B, vol. 12, no. 2, pp. 371–388, 2009. View at Publisher · View at Google Scholar
  • Hermann J. Eberl, and Shannon Collinson, “A modeling and simulation study of siderophore mediated antagonism in dual-species biofilms,” Theoretical Biology And Medical Modelling, vol. 6, 2009. View at Publisher · View at Google Scholar
  • Hermann J. Eberl, Hassan Khassehkhan, and Laurent Demaret, “A mixed-culture model of a probiotic biofilm control system,” Computational and Mathematical Methods in Medicine, vol. 11, no. 2, pp. 99–118, 2010. View at Publisher · View at Google Scholar
  • Messoud Efendievpp. 1–217, 2013. View at Publisher · View at Google Scholar
  • Stefanie Sonner, Messoud A. Efendiev, and Hermann J. Eberl, “On the well-posedness of mathematical models for multicomponent biofilms,” Mathematical Methods in the Applied Sciences, 2015. View at Publisher · View at Google Scholar
  • Hassan Khassehkhan, and Hermann Eberl, “A Computational Study of Amensalistic Control of Listeria monocytogenes by Lactococcus lactis under Nutrient Rich Conditions in a Chemostat Setting,” Foods, vol. 5, no. 3, pp. 61, 2016. View at Publisher · View at Google Scholar
  • Kamal Dua, Shakti D. Shukla, Rakesh K. Tekade, and Philip M. Hansbro, “Whether a novel drug delivery system can overcome the problem of biofilms in respiratory diseases?,” Drug Delivery and Translational Research, 2016. View at Publisher · View at Google Scholar
  • Maryam Ghasemi, and Hermann J. Eberl, “Time Adaptive Numerical Solution of a Highly Degenerate Diffusion?Reaction Biofilm Model Based on Regularisation,” Journal of Scientific Computing, 2017. View at Publisher · View at Google Scholar