Continuum and discrete approach in modeling biofilm development and structure: a review

MR Mattei, L Frunzo, B D'acunto, Y Pechaud… - Journal of mathematical …, 2018 - Springer
The scientific community has recognized that almost 99% of the microbial life on earth is
represented by biofilms. Considering the impacts of their sessile lifestyle on both natural and …

[BOOK][B] Stochastic processes in cell biology

PC Bressloff - 2014 - Springer
One of the major challenges in modern biology is to understand how the molecular
components of a living cell operate in a highly noisy environment. What are the specific …

Regulating, measuring, and modeling the viscoelasticity of bacterial biofilms

SGV Charlton, MA White, S Jana, LE Eland… - Journal of …, 2019 - Am Soc Microbiol
Biofilms occur in a broad range of environments under heterogeneous physicochemical
conditions, such as in bioremediation plants, on surfaces of biomedical implants, and in the …

Spatiotemporal establishment of dense bacterial colonies growing on hard agar

MR Warren, H Sun, Y Yan, J Cremer, B Li, T Hwa - Elife, 2019 - elifesciences.org
The physical interactions of growing bacterial cells with each other and with their
surroundings significantly affect the structure and dynamics of biofilms. Here a 3D agent …

A mathematical model of quorum sensing regulated EPS production in biofilm communities

MR Frederick, C Kuttler, BA Hense, HJ Eberl - Theoretical Biology and …, 2011 - Springer
Background Biofilms are microbial communities encased in a layer of extracellular polymeric
substances (EPS). The EPS matrix provides several functional purposes for the biofilm, such …

Mathematical description of microbial biofilms

I Klapper, J Dockery - SIAM review, 2010 - SIAM
Mathematical Description of Microbial Biofilms Page 1 Copyright © by SIAM. Unauthorized
reproduction of this article is prohibited. SIAM REVIEW c 2010 Society for Industrial and Applied …

Biofilm growth in porous media: Experiments, computational modeling at the porescale, and upscaling

M Peszynska, A Trykozko, G Iltis, S Schlueter… - Advances in Water …, 2016 - Elsevier
Biofilm growth changes many physical properties of porous media such as porosity,
permeability and mass transport parameters. The growth depends on various environmental …

Review of mathematical models for biofilms

Q Wang, T Zhang - Solid State Communications, 2010 - Elsevier
In this paper, we briefly review the progress made in the mathematical modeling of biofilms
over the last 30 years. Biofilms constitute a spectrum of dynamical microorganisms, whose …

Vertical growth dynamics of biofilms

P Bravo, S Lung Ng, KA MacGillivray… - Proceedings of the …, 2023 - National Acad Sciences
During the biofilm life cycle, bacteria attach to a surface and then reproduce, forming
crowded, growing communities. Many theoretical models of biofilm growth dynamics have …

A decoupled energy stable scheme for a hydrodynamic phase-field model of mixtures of nematic liquid crystals and viscous fluids

J Zhao, X Yang, J Shen, Q Wang - Journal of Computational Physics, 2016 - Elsevier
We develop a linear, first-order, decoupled, energy-stable scheme for a binary
hydrodynamic phase field model of mixtures of nematic liquid crystals and viscous fluids that …