标题
A Mixed-Culture Biofilm Model with Cross-Diffusion
作者
关键词
Allelopathy, Competition, Cross-diffusion, Mathematical model, Mixed-culture biofilm, Primary 92D25, Secondary 35K65
出版物
BULLETIN OF MATHEMATICAL BIOLOGY
Volume 77, Issue 11, Pages 2086-2124
出版商
Springer Nature
发表日期
2015-11-19
DOI
10.1007/s11538-015-0117-1
参考文献
相关参考文献
注意：仅列出部分参考文献，下载原文获取全部文献信息。- A Mathematical Model of Quorum Sensing Induced Biofilm Detachment
- (2015) Blessing O. Emerenini et al. PLoS One
- Modeling the Impact of Interspecies Competition on Performance of a Microbial Fuel Cell
- (2014) Brian V. Merkey et al. BULLETIN OF MATHEMATICAL BIOLOGY
- Microsensor determination of multiple microbial processes in an oxygen-based membrane aerated biofilm
- (2014) Shuying Tan et al. WATER SCIENCE AND TECHNOLOGY
- On a Multiphase Multicomponent Model of Biofilm Growth
- (2013) Avner Friedman et al. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
- Numerical computation of sharp travelling waves of a degenerate diffusion–reaction equation arising in biofilm modelling
- (2013) Eric Jalbert et al. Communications in Nonlinear Science and Numerical Simulation
- Upscaling from discrete to continuous mathematical models of two interacting populations
- (2013) Alicia Prieto-Langarica et al. COMPUTERS & MATHEMATICS WITH APPLICATIONS
- A novel model for biofilm growth and its resolution by using the hybrid immersed interface-level set method
- (2013) Patricio Cumsille et al. COMPUTERS & MATHEMATICS WITH APPLICATIONS
- An allelopathy based model for the Listeria overgrowth phenomenon
- (2013) Hedia Fgaier et al. MATHEMATICAL BIOSCIENCES
- An improved cellular automaton method to model multispecies biofilms
- (2013) Youneng Tang et al. WATER RESEARCH
- Modeling of Biocide Action Against Biofilm
- (2012) Tianyu Zhang BULLETIN OF MATHEMATICAL BIOLOGY
- Discrete and continuous approaches to modeling cell movement in the presence of a foreign stimulus
- (2012) Alicia Prieto-Langarica et al. COMPUTERS & MATHEMATICS WITH APPLICATIONS
- A fluid dynamics model of the growth of phototrophic biofilms
- (2012) F. Clarelli et al. JOURNAL OF MATHEMATICAL BIOLOGY
- Osmotic spreading of Bacillus subtilis biofilms driven by an extracellular matrix
- (2012) A. Seminara et al. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
- An Exclusion Principle and the Importance of Mobility for a Class of Biofilm Models
- (2011) Isaac Klapper et al. BULLETIN OF MATHEMATICAL BIOLOGY
- Thin-film modelling of biofilm growth and quorum sensing
- (2011) J. P. Ward et al. JOURNAL OF ENGINEERING MATHEMATICS
- Model parameter uncertainties in a dual-species biofilm competition model affect ecological output parameters much stronger than morphological ones
- (2011) Nasim Muhammad et al. MATHEMATICAL BIOSCIENCES
- On the well-posedness of a mathematical model of quorum-sensing in patchy biofilm communities
- (2011) Stefanie Sonner et al. MATHEMATICAL METHODS IN THE APPLIED SCIENCES
- Discriminating Multi-Species Populations in Biofilms with Peptide Nucleic Acid Fluorescence In Situ Hybridization (PNA FISH)
- (2011) Carina Almeida et al. PLoS One
- A mathematical model of quorum sensing regulated EPS production in biofilm communities
- (2011) Mallory R Frederick et al. Theoretical Biology and Medical Modelling
- The Influence of Fluid Flow on Modeling Quorum Sensing in Bacterial Biofilms
- (2010) Benjamin L. Vaughan et al. BULLETIN OF MATHEMATICAL BIOLOGY
- A multicomponent model for biofilm-drug interaction
- (2010) Brandon Lindley et al. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
- A Mixed-Culture Model of a Probiotic Biofilm Control System
- (2009) Hermann J. Eberl et al. Computational and Mathematical Methods in Medicine
- A degenerate diffusion-reaction model of an amensalistic biofilm control system: Existence and simulation of solutions
- (2009) Hassan Khassehkhan et al. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
- Modeling how soluble microbial products (SMP) support heterotrophic bacteria in autotroph-based biofilms
- (2009) Brian V. Merkey et al. JOURNAL OF THEORETICAL BIOLOGY
- Characterization of a novel air-liquid interface biofilm of Pseudomonas fluorescens SBW25
- (2009) A. Koza et al. MICROBIOLOGY-SGM
- A modeling and simulation study of siderophore mediated antagonism in dual-species biofilms
- (2009) Hermann J Eberl et al. Theoretical Biology and Medical Modelling
- Nitritation performance and biofilm development of co- and counter-diffusion biofilm reactors: Modeling and experimental comparison
- (2009) Rongchang Wang et al. WATER RESEARCH
- A two-dimensional continuum model of biofilm growth incorporating fluid flow and shear stress based detachment
- (2008) Ravindra Duddu et al. BIOTECHNOLOGY AND BIOENGINEERING
- A one-dimensional model of cell diffusion and aggregation, incorporating volume filling and cell-to-cell adhesion
- (2008) K. Anguige et al. JOURNAL OF MATHEMATICAL BIOLOGY
- Exposure of biofilms to slow flow fields: The convective contribution to growth and disinfection
- (2008) Hermann J. Eberl et al. JOURNAL OF THEORETICAL BIOLOGY
- Lagrangian modelling of plankton motion: From deceptively simple random walks to Fokker–Planck and back again
- (2007) Andre W. Visser JOURNAL OF MARINE SYSTEMS
Find Funding. Review Successful Grants.
Explore over 25,000 new funding opportunities and over 6,000,000 successful grants.
ExploreAsk a Question. Answer a Question.
Quickly pose questions to the entire community. Debate answers and get clarity on the most important issues facing researchers.
Get Started