Results 11 to 20 of about 895 (106)
High-order adaptive time stepping for vesicle suspensions with viscosity contrast [PDF]
, 2014 We construct a high-order adaptive time stepping scheme for vesicle suspensions with viscosity contrast. The high-order accuracy is achieved using a spectral deferred correction (SDC) method, and adaptivity is achieved by estimating the local truncation ...
Biros, George, Quaife, Bryan
core +2 more sources
Transversal instability for the thermodiffusive reaction-diffusion system [PDF]
, 2014 The propagation of unstable interfaces is at the origin of remarkable patterns that are observed in various areas of science as chemical reactions, phase transitions, growth of bacterial colonies.
Kolwalczyk, Michal +2 more
core +6 more sources
Stability Analysis of a Model of Atherogenesis: An Energy Estimate Approach II
Computational and Mathematical Methods in Medicine, Volume 11, Issue 1, Page 67-88, 2010., 2010 This paper considers modelling atherogenesis, the initiation of atherosclerosis, as an inflammatory instability. Motivated by the disease paradigm articulated by Russell Ross, atherogenesis is viewed as an inflammatory spiral with positive feedback loop involving key cellular and chemical species interacting and reacting within the intimal layer of ...
A. I. Ibragimov +3 more
wiley +1 more source
Derivation of the bacterial run-and-tumble kinetic equation from a model with biochemical pathway [PDF]
, 2015 Kinetic-transport equations are, by now, standard models to describe the dynamics of populations of bacteria moving by run-and-tumble. Experimental observations show that bacteria increase their run duration when encountering an increasing gradient of ...
Perthame, Benoît +2 more
core +4 more sources
Traveling waves for the Keller–Segel system with Fisher birth terms
, 2008 We consider the traveling wave problem for the one dimensional Keller-Segel system with a birth term of either a Fisher/KPP type or with a truncation for small population densities. We prove that there exists a solution under some stability conditions on
Grégoire Nadin, B. Perthame, L. Ryzhik
semanticscholar +1 more source
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
wiley +1 more source
Advances in Nonlinear Analysis, 2020 The Keller-Segel-Stokes ...
Wang Yulan +2 more
doaj +1 more source
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
Long-time behavior of an angiogenesis model with flux at the tumor boundary [PDF]
, 2012 This paper deals with a nonlinear system of partial differential equations modeling a simplified tumor-induced angiogenesis taking into account only the interplay between tumor angiogenic factors and endothelial cells.
A. Kettemann +12 more
core +3 more sources