A mixed-culture biofilm model with cross-diffusion
type: Item
instance of: scholarly article
title: A mixed-culture biofilm model with cross-diffusion
zbMATH Open document ID: 1339.92048
author: Rangarajan Sudarsan
author: Hermann J. Eberl
author: Kazi Afzalur Rahman
published in: Bulletin of Mathematical Biology
publication date: 2016-01-28T00:00:00Z
Mathematics Subject Classification ID: 92C99
zbMATH DE Number: 6536885
zbMATH Keywords: allelopathy
zbMATH Keywords: competition
zbMATH Keywords: cross-diffusion
zbMATH Keywords: mathematical model
zbMATH Keywords: mixed-culture biofilm
MaRDI profile type: Publication
full work available at URL: s11538-015-0117-1
OpenAlex ID: W2280766630
cites work: A multidimensional multispecies continuum model for heterogeneous biofilm development
cites work: Modelling antibiotic- and anti-quorum sensing treatment of a spatially-structured Pseudomonas aeruginosa population
cites work: A one-dimensional model of cell diffusion and aggregation, incorporating volume filling and cell-to-cell adhesion
cites work: A fluid dynamics model of the growth of phototrophic biofilms
cites work: Two-fluid model of biofilm disinfection
cites work: A novel model for biofilm growth and its resolution by using the hybrid immersed interface-level set method
cites work: Finger formation in biofilm layers
cites work: Q3432481
cites work: Exposure of biofilms to slow flow fields: the convective contribution to growth and disinfection
cites work: A New Deterministic Spatio-Temporal Continuum Model for Biofilm Development
cites work: A mixed-culture model of a probiotic biofilm control system
cites work: Existence and longtime behavior of a biofilm model
cites work: An allelopathy based model for the \textit{Listeria} overgrowth phenomenon
cites work: Q3006586
cites work: On a multiphase multicomponent model of biofilm growth
cites work: Numerical computation of sharp travelling waves of a degenerate diffusion-reaction equation arising in biofilm modelling
cites work: A degenerate diffusion-reaction model of an amensalistic biofilm control system: existence and simulation of solutions
cites work: Mathematical Description of Microbial Biofilms
cites work: An exclusion principle and the importance of mobility for a class of biofilm models
cites work: A spatially discrete model for aggregating populations
cites work: A multicomponent model for biofilm-drug interaction
cites work: Modeling the impact of interspecies competition on performance of a microbial fuel cell
cites work: Modeling how soluble microbial products (SMP) support heterotrophic bacteria in autotroph-based biofilms
cites work: Model parameter uncertainties in a dual-species biofilm competition model affect ecological output parameters much stronger than morphological ones
cites work: Diffusion and ecological problems: Modern perspectives.
cites work: Q4659860
cites work: Discrete and continuous approaches to modeling cell movement in the presence of a foreign stimulus
cites work: Upscaling from discrete to continuous mathematical models of two interacting populations
cites work: On the well-posedness of a mathematical model of quorum-sensing in patchy biofilm communities
cites work: Aggregation, Blowup, and Collapse: The ABC's of Taxis in Reinforced Random Walks
cites work: Nonautonomous integrable systems associated with Hurwitz spaces in genuses zero and one
cites work: The influence of fluid flow on modeling quorum sensing in bacterial biofilms
cites work: Thin-film modelling of biofilm growth and quorum sensing
cites work: Modeling of biocide action against biofilm
cites work: Q5268515
Wikidata QID: Q46637596
DOI: 10.1007/S11538-015-0117-1
description: scientific article; zbMATH DE number 6536885