A Mixed‐Culture Model of a Probiotic Biofilm Control System
Computational and Mathematical Methods in Medicine, Volume 11, Issue 2, Page 99-118, 2010., 2010 We present a mathematical model and computer simulations for the control of a pathogenic biofilm by a probiotic biofilm. This is a substantial extension of a previous model of control of a pathogenic biofilm by microbial control agents that are suspended in the aqueous bulk phase (H. Khassehkhan and H.J. Eberl, Comp. Math. Meth.
Hermann J. Eberl +2 more
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Modeling and Simulation of a Bacterial Biofilm That Is Controlled by pH and Protonated Lactic Acids
Computational and Mathematical Methods in Medicine, Volume 9, Issue 1, Page 47-67, 2008., 2008 We present a mathematical model for growth and control of facultative anaerobic bacterial biofilms in nutrient rich environments. The growth of the microbial population is limited by protonated lactic acids and the local pH value, which in return are altered as the microbial population changes.
Hassan Khassehkhan, Hermann J. Eberl
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Stability Analysis of a Model of Atherogenesis: An Energy Estimate Approach
Computational and Mathematical Methods in Medicine, Volume 9, Issue 2, Page 121-142, 2008., 2008 Atherosclerosis is a disease of the vasculature that is characterized by chronic inflammation and the accumulation of lipids and apoptotic cells in the walls of large arteries. This disease results in plaque growth in an infected artery typically leading to occlusion of the artery. Atherosclerosis is the leading cause of human mortality in the US, much
A. I. Ibragimov +3 more
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This paper studies a three-component reaction-diffusion-advection immune chemotaxis model incorporating volume-filling effects, which accounts for spatial crowding and density limitation of immune cells.
Yafei Yang, Liangying Miao, Xiaoyan Gao
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Stochastic differential equation modelling of cancer cell migration and tissue invasion. [PDF]
J Math Biol, 2023 Katsaounis D +2 more
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A Bayesian finite-element trained machine learning approach for predicting post-burn contraction. [PDF]
Neural Comput Appl, 2022 Egberts G +3 more
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Tumor growth towards lower extracellular matrix conductivity regions under Darcy's Law and steady morphology. [PDF]
J Math Biol, 2022 Zheng X, Zhao K, Jackson T, Lowengrub J.
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Sensitivity of a two-dimensional biomorphoelastic model for post-burn contraction. [PDF]
Biomech Model Mechanobiol, 2023 Egberts G +3 more
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Stability of a two-dimensional biomorphoelastic model for post-burn contraction. [PDF]
J Math Biol, 2023 Egberts G, Vermolen F, van Zuijlen P.
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Derivation of continuum models from discrete models of mechanical forces in cell populations. [PDF]
J Math Biol, 2021 Lötstedt P.
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