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Challenges and perspectives in reactor scale modeling of biofilm processes

Lookup NU author(s): Dr Matthew WadeORCiD

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Abstract

Biofilm reactors are inherently multiscale systems involving mesoscopic processes on the biofilm colony scale and macroscopic processes on the reactor scale. Mathematical models of biofilm reactors need to bridge these length and time scales. Among mesoscale biofilm models, the one-dimensional Wanner–Gujer model is the one most often used in engineering applications. It can be embedded in traditional bioreactor models, which often resemble the mathematical description of chemostat, a well-established modeling framework in mathematical biology. These biofilm reactor models are complex hybrid dynamical systems, comprising ordinary differential equation, quasilinear nonlocal hyperbolic balance laws, and semilinear diffusion–reaction equations. In this chapter, we discuss some challenges and perspectives that this involves. This includes mathematical and computational aspects and aspects of implicit model assumptions.


Publication metadata

Author(s): Eberl HJ, Wade MJ

Editor(s): Simoes,M;Borges,A;Simoes,LC

Publication type: Book Chapter

Publication status: Published

Book Title: Recent Trends in Biofilm Science and Technology

Year: 2020

Pages: 359-383

Print publication date: 03/06/2020

Online publication date: 16/06/2020

Acceptance date: 15/04/2020

Edition: 1st

Publisher: Academic Press

URL: https://www.sciencedirect.com/science/article/pii/B9780128194973000167

DOI: 10.1016/B978-0-12-819497-3.00016-7

Library holdings: Search Newcastle University Library for this item

ISBN: 9780128194973


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