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International Conference on Parallel Processing and Applied Mathematics

PPAM 2013: Parallel Processing and Applied Mathematics pp 134–144Cite as

Numerical Treatment of a Cross-Diffusion Model of Biofilm Exposure to Antimicrobials

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8384))

Abstract

We present a numerical method for a highly nonlinear PDE model of biofilm response to antibiotics with three nonlinear diffusion effects: (i) porous medium degeneracy, (ii) super-diffusion singularity, (iii) nonlinear cross-diffusion. The scheme is based on a Finite Volume discretization in space and semi-implicit, non-local time integration. The resulting discretized system is implemented in Fortran and parallelized with OpenMP. The numerical method is validated in a simulation study.

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Author information

Authors and Affiliations

  1. University of Guelph, Guelph, ON, N1G2W1, Canada

    Kazi Rahman & Hermann J. Eberl

Authors
  1. Kazi Rahman
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  2. Hermann J. Eberl
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Corresponding author

Correspondence to Hermann J. Eberl .

Editor information

Editors and Affiliations

  1. Institute of Computer and Information Science, Czestochowa University of Technology, Czestochowa, Poland

    Roman Wyrzykowski

  2. University of Tennessee, Department of Computer Science, Knoxville, Tennessee, USA

    Jack Dongarra

  3. Institute of Computer and Information Science, Czestochowa University of Technology, Czestochowa, Poland

    Konrad Karczewski

  4. Technical University of Denmark Informatics and Mathematical Modelling, Kongens Lyngby, Denmark

    Jerzy Waśniewski

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Rahman, K., Eberl, H.J. (2014). Numerical Treatment of a Cross-Diffusion Model of Biofilm Exposure to Antimicrobials. In: Wyrzykowski, R., Dongarra, J., Karczewski, K., Waśniewski, J. (eds) Parallel Processing and Applied Mathematics. PPAM 2013. Lecture Notes in Computer Science(), vol 8384. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55224-3_14

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  • DOI: https://doi.org/10.1007/978-3-642-55224-3_14

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-55223-6

  • Online ISBN: 978-3-642-55224-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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