Continuum and discrete approach in modeling biofilm development and structure: a review
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Publication:1709402
DOI10.1007/s00285-017-1165-yzbMath1391.35378OpenAlexW2739410635WikidataQ39456399 ScholiaQ39456399MaRDI QIDQ1709402
Giovanni Esposito, Francesco Pirozzi, Yoan Pechaud, Maria Rosaria Mattei, Luigi Frunzo, Berardino D'Acunto
Publication date: 5 April 2018
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00285-017-1165-y
Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Degenerate parabolic equations (35K65) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Initial-boundary value problems for first-order hyperbolic systems (35L50) General biology and biomathematics (92B05) Computational methods for problems pertaining to biology (92-08) Research exposition (monographs, survey articles) pertaining to biology (92-02)
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Cites Work
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- The dependence of quorum sensing on the depth of a growing biofilm
- Effect of heterogeneous structure in mechanically unstressed biofilms on overall growth
- Modeling physiological resistance in bacterial biofilms
- A novel model for biofilm growth and its resolution by using the hybrid immersed interface-level set method
- A 3D numerical study of antimicrobial persistence in heterogeneous multi-species biofilms
- Modeling antimicrobial tolerance and treatment of heterogeneous biofilms
- Mathematical modelling of bacterial quorum sensing: a review
- Effect of periodic disinfection on persisters in a one-dimensional biofilm model
- Kinetic theories for biofilms
- A new approach to the simulation of microbial biofilms by a theory of fluid-like pressure-restricted finite growth
- A 2D channel-clogging biofilm model
- Mathematical analysis of a quorum sensing induced biofilm dispersal model and numerical simulation of hollowing effects
- A mixed-culture model of a probiotic biofilm control system
- Qualitative analysis and simulations of a free boundary problem for multispecies biofilm models
- An exclusion principle and the importance of mobility for a class of biofilm models
- Model parameter uncertainties in a dual-species biofilm competition model affect ecological output parameters much stronger than morphological ones
- Free boundary problem for an initial cell layer in multispecies biofilm formation
- Dynamic modeling of sulfate reducing biofilms
- The influence of fluid flow on modeling quorum sensing in bacterial biofilms
- Modeling the impact of interspecies competition on performance of a microbial fuel cell
- A degenerate diffusion-reaction model of an amensalistic biofilm control system: existence and simulation of solutions
- A multi-phase mathematical model of quorum sensing in a maturing Pseudomonas aeruginosa biofilm
- Time-discretization of a degenerate reaction-diffusion equation arising in biofilm modeling
- Cell-cell communication by quorum sensing and dimension-reduction
- A mathematical model for quorum sensing in \textit{Pseudomonas aeruginosa}
- Global existence and asymptotic stability of smooth solutions to a fluid dynamics model of biofilms in one space dimension
- A mixed-culture biofilm model with cross-diffusion
- Two-fluid model of biofilm disinfection
- Existence and longtime behavior of a biofilm model
- Early development and quorum sensing in bacterial biofilms
- Modeling how soluble microbial products (SMP) support heterotrophic bacteria in autotroph-based biofilms
- Modeling of biocide action against biofilm
- Exposure of biofilms to slow flow fields: the convective contribution to growth and disinfection
- Longtime behavior of one-dimensional biofilm models with shear dependent detachment rates
- Thin-film modelling of biofilm growth and quorum sensing
- Effects of persister formation on bacterial response to dosing
- Incorporating toxin hypothesis into a mathematical model of persister formation and dynamics
- Numerical computation of sharp travelling waves of a degenerate diffusion-reaction equation arising in biofilm modelling
- Modeling multispecies biofilms including new bacterial species invasion
- Modelling antibiotic- and anti-quorum sensing treatment of a spatially-structured Pseudomonas aeruginosa population
- Variable viscosity and density biofilm simulations using an immersed boundary method, part II: Experimental validation and the heterogeneous rheology-IBM
- A fluid dynamics model of the growth of phototrophic biofilms
- Three-dimensional numerical simulations of biofilm dynamics with quorum sensing in a flow cell
- A multidimensional multispecies continuum model for heterogeneous biofilm development
- The performance of a microbial fuel cell depends strongly on anode geometry: A multidimensional modeling study
- Concepts in disinfection of bacterial populations
- Material modeling of biofilm mechanical properties
- Hybrid numerical treatment of two-fluid problems with passive interfaces
- Modeling biofilm processes using the immersed boundary method
- A New Deterministic Spatio-Temporal Continuum Model for Biofilm Development
- Finger Formation in Biofilm Layers
- 3-D spatio-temporal structures of biofilms in a water channel
- On the well-posedness of mathematical models for multicomponent biofilms
- Computational exploration of disinfection of bacterial biofilms in partially blocked channels
- Variable Viscosity and Density Biofilm Simulations using an Immersed Boundary Method, Part I: Numerical Scheme and Convergence Results
- On the well-posedness of a mathematical model of quorum-sensing in patchy biofilm communities
- A polymer–solvent model of biofilm growth
- Analysis of a moving boundary value problem arising in biofilm modelling
- Mathematical Description of Microbial Biofilms
- A combined extended finite element and level set method for biofilm growth
- Phase Field Models for Biofilms. I. Theory and One-Dimensional Simulations
- The role of the biofilm matrix in structural development
- Channel Formation in Gels
- The development of biofilm architecture
- Simulating Biofilm Deformation and Detachment with the Immersed Boundary Method
- An Extension of the Boundary Integral Method Applied to Periodic Disinfection of a Dynamic Biofilm
- Analysis of Adaptive Response to Dosing Protocols for Biofilm Control
- Steady state solutions of a one-dimensional biofilm model
- A simple 2D biofilm model yields a variety of morphological features
- Qualitative analysis of the moving boundary problem for a biofilm reactor model
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