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. © 2014 Springer-Verlag.
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Rahman, K., & Eberl, H. J. (2014). Numerical treatment of a cross-diffusion model of biofilm exposure to antimicrobials. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 8384 LNCS, pp. 134–144). Springer Verlag. https://doi.org/10.1007/978-3-642-55224-3_14
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