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Editorial

Published online by Cambridge University Press:  01 November 2018

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Biofilms are colonies of microorganisms, usually growing on solid-liquid interfaces, consisting of cells and a matrix of extracellular polymeric substances (EPS). Such colonies are often elaborately structured and highly dynamic, expanding through cell division and recruitment of cells from outside, and contracting via individual cells or flocs (groups of cells and biofilm matrix) detachment from the biofilm surface. Even amongst simplest single species bacterial biofilms, the behaviour (phenotype) of individual cells is highly heterogenous across the biofilm due to microenvironment variation (e.g. nutrient concentration, pH) and cell-cell signalling (quorum sensing); consequently, many researchers consider biofilms as more akin to multi-cellular organisms rather than a colony of autonomous individual cells.

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Editorial Announcement
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Copyright © Cambridge University Press 2018 

References

D'Acunto, B, Frunzo, L, Luongo, V & Mattei, MR. (2018) Invasion moving boundary problem for a biofilm reactor model, Eur. J. Appl. Math. 29(6):1079–1109.Google Scholar
Aristotelous, A, Grabovsky, Y & Klapper, I. (2018) Heterogeneity Formation Within Biofilm Systems, Eur. J. Appl. Math. 29(6):1020–1034.Google Scholar
Chaudhry, MAS & Beg, AS. (1998) A Review on the Mathematical modelling of Biofilm Processes: Advances in Fundamentals of Biofilm modelling, Chem. Eng. & Tech., 21(9):701–710.Google Scholar
Gaebler, HJ & Eberl, HJ. (2018) A simple model of biofilm growth in a porous medium that accounts for detachment and attachment of suspended biomass and their contribution to substrate degradation, Eur. J. Appl. Math. 29(6):1110–1140.Google Scholar
Ghasemi, M, Sonner, S & Eberl, HJ. (2018) Time adaptive numerical solution of a highly nonlinear degenerate cross-diffusion system arising in multi-species biofilm modelin, Eur. J. Appl. Math. 29(6):1035–1061.Google Scholar
Kightley, EP, Pearson, A, Evans, JA & Bortz, DM. (2018) Fragmentation of biofilm-seeded bacterial aggregates in shear flow, Eur. J. Appl. Math. 29(6):1062–1078.Google Scholar
Klapper, I & Dockery, J. (2010) Mathematical description of Microbial Biofilms, SIAM Review, 52(2):221–265.Google Scholar
Marzooq, SA, Ortiz-Lugo, A & Vaughan, BJ. (2018) Mathematical Model of Biofilm-Mediated Pathogen Persistence in a Water Distribution Network with Time-Constant Flows, Eur. J. Appl. Math. 29(6):991–1019.Google Scholar
Mattei, MR, Frunzo, L, D'Acunto, B, Pechaud, Y, Pirozzi, G & Esposito, G. (2018) Continuum and discrete approach in modelling biofilm development and structure: a review, J. Math. Biol. 76(4):945–1003.Google Scholar
Picioreanu, C, Xavier, JB & van Loosdrecht, MCM. (2004) Advances in mathematical modelling of biofilm structure, Biofilms 1(4):337–349.Google Scholar
Rapaport, A. (2018) Properties of the chemostat model with aggregated biomass, Eur. J. Appl. Math. 29(6):972–990.Google Scholar
Rittmann, BE & McCarty, PL. (1980) Model of steady state biofilm kinetics, Biotechn. & Bioeng. 22(11):2343–2357.Google Scholar
Stotsky, JA, Dukic, V & Bortz, DM. (2018) A Point Process Model for Generating Biofilms with Realistic Microstructure and Rheology, Eur. J. Appl. Math. 29(6):1141–1177.Google Scholar
van Loosdrecht, MCM, Heijnen, JJ, Eberl, H, Kreft, J & Picioreanu, C. (2002) Mathematical Modelling of Biofilm Structures, Antonie van Leeuwenhoek - Int. J. of General and Molec. Microbiology, 81(1):245–256.Google Scholar
Wang, Q & Zhang, T. (2010) Review of mathematical models for biofilms, Sol. State Comm., 150(21–22):1009–1022.Google Scholar
Wanner, O. Eberl, H, Morgenroth, E, Noguera, D, Picioreanu, C, Rittmann, B & van Loosdrecht, MCM. (2006) Mathematical modelling of Biofilms, 178pp., IWA Publishing, London.Google Scholar
Wanner, O & Gujer, W. (1986) A multispecies biofilm model, Biotechn. & Bioeng. 28(3):314–328.Google Scholar