Results 11 to 20 of about 490 (76)
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
wiley +1 more source
Advances in Nonlinear Analysis, 2020 The Keller-Segel-Stokes ...
Wang Yulan +2 more
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Modelling cell movement and chemotaxis pseudopod based feedback [PDF]
, 2011 A computational framework is presented for the simulation of eukaryotic cell migration and chemotaxis. An empirical pattern formation model, based on a system of non-linear reaction-diffusion equations, is approximated on an evolving cell boundary using ...
Insall, Robert H. +3 more
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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
wiley +1 more source
Modeling cell movement in anisotropic and heterogeneous network tissues [PDF]
, 2007 Cell motion and interaction with the extracellular matrix is studied deriving a kinetic model and considering its diffusive limit. The model takes into account of chemotactic and haptotactic effects, and obtains friction as a result of the interactions ...
Chauviere, A. +2 more
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Analysis of a diffuse interface model of multispecies tumor growth [PDF]
, 2015 We consider a diffuse interface model for tumor growth recently proposed in [Y. Chen, S.M. Wise, V.B. Shenoy, J.S. Lowengrub, A stable scheme for a nonlinear, multiphase tumor growth model with an elastic membrane, Int. J. Numer. Methods Biomed. Eng., 30
Dai, Mimi +4 more
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Advances in Nonlinear Analysis, 2019 In bounded n-dimensional domains Ω, the Neumann problem for the parabolic ...
Winkler Michael
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On the weakly competitive case in a two-species chemotaxis model
, 2016 In this article we investigate a parabolic-parabolic-elliptic two-species chemotaxis system with weak competition and show global asymptotic stability of the coexistence steady state under a smallness condition on the chemotactic strengths, which seems ...
Black, Tobias +2 more
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Sub-logistic source can prevent blow-up in the 2D minimal Keller-Segel chemotaxis system
, 2017 It is well-known that the Neumann initial-boundary value problem for the minimal-chemotaxis-logistic system in a 2D bounded smooth domain has no blow-up for any choice of parameters. Here, for a large class of kinetic terms including sub-logistic sources,
Xiang, Tian
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