Extension of a Regularization Based Time-adaptive Numerical Method for a Degenerate Diffusion-Reaction Biofilm Growth Model to Systems Involving Quorum Sensing | Zendy

Maryam Ghasemi | Zendy; Hermann J. Eberl | Zendy

Open Access

Extension of a Regularization Based Time-adaptive Numerical Method for a Degenerate Diffusion-Reaction Biofilm Growth Model to Systems Involving Quorum Sensing

Author(s) -

Maryam Ghasemi,

Hermann J. Eberl

Publication year - 2017

Publication title -

procedia computer science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.334

H-Index - 76

ISSN - 1877-0509

DOI - 10.1016/j.procs.2017.05.089

Subject(s) - computer science , quorum sensing , reaction–diffusion system , regularization (linguistics) , biofilm , extension (predicate logic) , degenerate energy levels , diffusion , biological system , mathematical optimization , distributed computing , artificial intelligence , mathematics , mathematical analysis , thermodynamics , physics , quantum mechanics , biology , bacteria , genetics , programming language

We extend a regularization based numerical method for a highly degenerate partial differential equation that describes biofilm growth to systems of PDEs describing biofilms with several particulate substances. The example for which we develop the method is a quorum sensing biofilm which consists of down- and up-regulated biomass fractions. We carry out computational studies to assess the effect of the regularization parameter, a grid refinement study and report briefly on parallel performance of our code under OpenMP on desktop workstations.

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