Finger Formation in Biofilm Layers
From MaRDI portal
Publication:2783736
DOI10.1137/S0036139900371709zbMath1012.92007OpenAlexW1989327195MaRDI QIDQ2783736
Jack D. Dockery, Isaac Klapper
Publication date: 17 April 2002
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/s0036139900371709
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Developmental biology, pattern formation (92C15) Biological fluid mechanics (76Z99)
Related Items (48)
Modeling of symbiotic bacterial biofilm growth with an example of the \textit{Streptococcus-Veillonella} sp. system ⋮ Modeling how soluble microbial products (SMP) support heterotrophic bacteria in autotroph-based biofilms ⋮ Front instabilities and invasiveness of simulated avascular tumors ⋮ Development of the \textit{Pseudomonas aeruginosa} mushroom morphology and cavity formation by iron-starvation: A mathematical modeling study ⋮ A novel model for biofilm growth and its resolution by using the hybrid immersed interface-level set method ⋮ Nutrient-limited growth with non-linear cell diffusion as a mechanism for floral pattern formation in yeast biofilms ⋮ A multi-phase mathematical model of quorum sensing in a maturing Pseudomonas aeruginosa biofilm ⋮ Analysis of a degenerate biofilm model with a nutrient taxis term ⋮ A two-dimensional multi-species model for different \textit{Listeria monocytogenes} biofilm structures and its numerical simulation ⋮ Productivity and equilibrium in simple biofilm models ⋮ A mathematical model of biofilm growth and spread within plant xylem: case study of \textit{Xylella fastidiosa} in olive trees ⋮ A multidimensional multispecies continuum model for heterogeneous biofilm development ⋮ An Effective Model for Biofilm Growth Made by Chemotactical Bacteria in Evolving Porous Media ⋮ Biofilm modeling in evolving porous media with Beavers‐Joseph condition ⋮ Mathematical model for MRSA nasal carriage ⋮ A mixed-culture biofilm model with cross-diffusion ⋮ Modelling in vitro lung branching morphogenesis during development ⋮ Multiscale Flux-Based Modeling of Biofilm Communities ⋮ The Effect of Cell Death on the Stability of a Growing Biofilm ⋮ Universality in bacterial colonies ⋮ Limit behaviour of spatially growing cell cultures ⋮ Continuum and discrete approach in modeling biofilm development and structure: a review ⋮ Analysis of a moving boundary value problem arising in biofilm modelling ⋮ Model parameter uncertainties in a dual-species biofilm competition model affect ecological output parameters much stronger than morphological ones ⋮ A new approach to the simulation of microbial biofilms by a theory of fluid-like pressure-restricted finite growth ⋮ Heterogeneity formation within biofilm systems ⋮ Invasion moving boundary problem for a biofilm reactor model ⋮ Mathematical modeling of dispersal phenomenon in biofilms ⋮ Coupled flow and biomass-nutrient growth at pore-scale with permeable biofilm, adaptive singularity and multiple species ⋮ 3-D Numerical Simulations of Biofilm Flows ⋮ A time-space model for the growth of microalgae biofilms for biofuel production ⋮ Influence of nutrient availability and quorum sensing on the formation of metabolically inactive microcolonies within structurally heterogeneous bacterial biofilms: an individual-based 3D cellular automata model ⋮ The influence of fluid flow on modeling quorum sensing in bacterial biofilms ⋮ Reaction-diffusion model of nutrient uptake in a biofilm: theory and experiment ⋮ Finite strain visco-elastic growth driven by nutrient diffusion: theory, FEM implementation and an application to the biofilm growth ⋮ 3-D spatio-temporal structures of biofilms in a water channel ⋮ Free boundary approach to modelling multispecies biofilms ⋮ Exposure of biofilms to slow flow fields: the convective contribution to growth and disinfection ⋮ A method to solve the reaction-diffusion-chemotaxis system ⋮ Application of variational inequalities to the moving-boundary problem in a fluid model for biofilm growth ⋮ Discrete attachment to a cellulolytic biofilm modeled by an Itô stochastic differential equation ⋮ A dimensionally reduced model of biofilm growth within a flow cell ⋮ Reactor scale modeling of quorum sensing induced biofilm dispersal ⋮ Porosity and tortuosity relations as revealed by a mathematical model of biofilm structure ⋮ Enhanced disinfection of bacterial populations by nutrient and antibiotic challenge timing ⋮ Biofilm neutrophils interactions under hypoxia: a mathematical modeling study ⋮ Modeling multispecies biofilms including new bacterial species invasion ⋮ A simple numerical method for Hele-Shaw type problems by the method of fundamental solutions
This page was built for publication: Finger Formation in Biofilm Layers
