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A DEGENERATE DIFFUSION-REACTION MODEL OF AN AMENSALISTIC BIOFILM CONTROL SYSTEM: EXISTENCE AND SIMULATION OF SOLUTIONS.
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- Discrete & Continuous Dynamical Systems - Series B, 2009, v. 12, n. 2, p. 371, doi. 10.3934/dcdsb.2009.12.371
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Multiscale Modeling of Uranium Bioreduction in Porous Media by One-Dimensional Biofilms.
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- Bulletin of Mathematical Biology, 2021, v. 83, n. 10, p. 1, doi. 10.1007/s11538-021-00938-9
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Thermodynamic Inhibition in a Biofilm Reactor with Suspended Bacteria.
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- Bulletin of Mathematical Biology, 2021, v. 83, n. 2, p. 1, doi. 10.1007/s11538-020-00840-w
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Thermodynamic Inhibition in Chemostat Models.
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- Bulletin of Mathematical Biology, 2020, v. 82, n. 6, p. 1, doi. 10.1007/s11538-020-00758-3
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Simulation-Based Exploration of Quorum Sensing Triggered Resistance of Biofilms to Antibiotics.
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- Bulletin of Mathematical Biology, 2018, v. 80, n. 7, p. 1736, doi. 10.1007/s11538-018-0433-3
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Impact of Microbial Uptake on the Nutrient Plume around Marine Organic Particles: High-Resolution Numerical Analysis.
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- Microorganisms, 2022, v. 10, n. 10, p. 2020, doi. 10.3390/microorganisms10102020
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A New ODE-Based Julia Implementation of the Anaerobic Digestion Model No. 1 Greatly Outperforms Existing DAE-Based Java and Python Implementations.
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- Processes, 2023, v. 11, n. 7, p. 1899, doi. 10.3390/pr11071899
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Enzymatic Hydrolysis of Complex Carbohydrates and the Mucus in a Mathematical Model of a Gut Reactor.
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- Processes, 2023, v. 11, n. 2, p. 370, doi. 10.3390/pr11020370
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A MATHEMATICAL MODEL OF QUORUM QUENCHING IN BIOFILMS AND ITS POTENTIAL ROLE AS AN ADJUVANT FOR ANTIBIOTIC TREATMENT.
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- Mathematics in Applied Sciences & Engineering, 2022, v. 3, n. 2, p. 119, doi. 10.5206/mase/14612
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Modeling and simulation of a bacterial biofilm that is controlled by pH and protonated lactic acids.
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- Computational & Mathematical Methods in Medicine, 2008, v. 9, n. 1, p. 47, doi. 10.1080/17486700701797922
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EXISTENCE AND LONGTIME BEHAVIOR OF A BIOFILM MODEL.
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- Communications on Pure & Applied Analysis, 2009, v. 8, n. 2, p. 509, doi. 10.3934/cpaa.2009.8.509
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ON OPTIMIZATION OF SUBSTRATE REMOVAL IN A BIOREACTOR WITH WALL ATTACHED AND SUSPENDED BACTERIA.
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- Mathematical Biosciences & Engineering, 2014, v. 11, n. 5, p. 1139, doi. 10.3934/mbe.2014.11.1139
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LONGTIME BEHAVIOR OF ONE-DIMENSIONAL BIOFILM MODELS WITH SHEAR DEPENDENT DETACHMENT RATES.
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- Mathematical Biosciences & Engineering, 2012, v. 9, n. 2, p. 215, doi. 10.3934/mbe.2012.9.215
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Time adaptive numerical solution of a highly non-linear degenerate cross-diffusion system arising in multi-species biofilm modelling.
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- European Journal of Applied Mathematics, 2018, v. 29, n. 6, p. 1035, doi. 10.1017/S0956792518000554
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A simple model of biofilm growth in a porous medium that accounts for detachment and attachment of suspended biomass and their contribution to substrate degradation.
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- European Journal of Applied Mathematics, 2018, v. 29, n. 6, p. 1110, doi. 10.1017/S0956792518000189
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A mathematical model of quorum sensing regulated EPS production in biofilm communities.
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- Theoretical Biology & Medical Modelling, 2011, v. 8, n. 1, p. 8, doi. 10.1186/1742-4682-8-8
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A mathematical model of discrete attachment to a cellulolytic biofilm using random DEs.
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- Mathematical Biosciences & Engineering, 2022, v. 19, n. 7, p. 6582, doi. 10.3934/mbe.2022310
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Discrete attachment to a cellulolytic biofilm modeled by an Itô stochastic differential equation.
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- Mathematical Biosciences & Engineering, 2020, v. 17, n. 3, p. 2236, doi. 10.3934/mbe.2020119
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MATHEMATICAL ANALYSIS OF A QUORUM SENSING INDUCED BIOFILM DISPERSAL MODEL AND NUMERICAL SIMULATION OF HOLLOWING EFFECTS.
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- Mathematical Biosciences & Engineering, 2017, v. 14, n. 3, p. 625, doi. 10.3934/mbe.2017036
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Analysis of a PDE model of the swelling of mitochondria accounting for spatial movement.
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- Mathematical Methods in the Applied Sciences, 2018, v. 41, n. 5, p. 2162, doi. 10.1002/mma.4742
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On the well-posedness of mathematical models for multicomponent biofilms.
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- Mathematical Methods in the Applied Sciences, 2015, v. 38, n. 17, p. 3753, doi. 10.1002/mma.3315
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On the well-posedness of a mathematical model of quorum-sensing in patchy biofilm communities.
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- Mathematical Methods in the Applied Sciences, 2011, v. 34, n. 13, p. 1667, doi. 10.1002/mma.1475
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Three-Dimensional Model for Bioventing: Mathematical Solution, Calibration and Validation.
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- Mathematical & Computational Applications, 2024, v. 29, n. 1, p. 16, doi. 10.3390/mca29010016
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A Spatially Continuous Model of Carbohydrate Digestion and Transport Processes in the Colon.
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- PLoS ONE, 2015, v. 10, n. 12, p. 1, doi. 10.1371/journal.pone.0145309
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A Mathematical Model of Quorum Sensing Induced Biofilm Detachment.
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- PLoS ONE, 2015, v. 10, n. 7, p. 1, doi. 10.1371/journal.pone.0132385
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