Shock formation in a chemotaxis model
WebGedunin, a natural limonoid from Meliaceae species, has been previously described as an antiinflammatory compound in experimental models of allergic inflammation. Here, we report the antiinflammatory and antinociceptive effects of gedunin in an acute model of articular inflammation induced by zymosan (500 μg/cavity; intra-articular) in C57BL/6 … Web21 Nov 2024 · This paper is devoted to study the formation of stationary patterns for a chemotaxis model with nonlinear diffusion and volume-filling effect over a bounded rectangular domain. By using linear stability analysis around the homogeneous steady states we establish conditions for the existence of unstable mode bands that lead to the …
Shock formation in a chemotaxis model
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Webtraveling wave solutions of the chemotaxis model of type (1.3). The experimental study of traveling wave (band) behavior driven by chemotaxis dates to Adler's works.1,2 The mathematical modeling and analysis of the traveling waves was ¯rst presented by Keller and Segel15 and a °urry of works then followed (see Refs. 9, 23 and references therein). Web15 Jul 2008 · Mathematical modelling of chemotaxis (the movement of biological cells or organisms in response to chemical gradients) has developed into a large and diverse …
Web25 Jan 2012 · Wang Z.A., Hillen T.: Shock formation in a chemotaxis model. Math. Methods Appl. Sci. 31, 45–70 (2008) Article MathSciNet MATH Google Scholar Zhang M., Zhu C.J.: Global existence of solutions to a hyperbolic-parabolic system. Proc. Am. Math. Soc. 135, 1017–1027 (2007) Article MATH Google Scholar Download references Author information Web15 Feb 2024 · Wang, Z., Hillen, T.: Shock formation in a chemotaxis model. Math. Methods Appl. Sci., 31, 45–70 (2008) Article MathSciNet Google Scholar Winkler, M.: Global large …
WebIn contrast to the previous related results, where various smallness conditions on wave strengths were imposed, we are able to prove the nonlinear stability of the traveling waves … WebWe prove global existence and qualitative behavior of classical solutions for a hyperbolic-parabolic system describing chemotaxis on bounded domains. It is shown that classical solutions to the initial-boundary value problem of the one-dimensional model exist globally in time for large initial data, and the solutions converge to constant equilibrium states …
WebBy studying the travelling wave solutions, we examine the shock structure for the chemotaxis model and prove that the travelling wave speed is identical to the shock …
WebBy assuming H1 initial data and utilizing energy methods, it is shown that regardless of the magnitude of initial data, there exist global-in-time solutions to the Cauchy problem, and … how to use tartufata truffle sauceWeb16 Sep 2013 · In particular, the optimal L 2 decay rate of the solution and the almost optimal L 2 decay rate of the first-order derivatives of the solution are obtained. These results are … how to use taskbar without mouseWeb29 Feb 2012 · Z.-A. Wang and T. Hillen, Shock formation in a chemotaxis model, Math. Methods. Appl. Sci., 31 (2008), 45-70.doi: 10.1002/mma.898. [38] Z.-A. Wang and K. Zhao, … how to use task group in azure devopsWeb23 Nov 2007 · By studying the travelling wave solutions, we examine the shock structure for the chemotaxis model and prove that the travelling wave speed is identical to the shock … how to use task cardsWeb1 Jan 2024 · Shock formation in a Chemotaxis model Article Full-text available Jan 2008 MATH METHOD APPL SCI Zhian Wang Thomas Hillen View Show abstract Nonlinear … org chart ppt freeWeb30 Nov 2012 · The study in the paper asserts that chemotactic competitive interaction between attraction and repulsion can produce periodic patterns which are impossible for the chemotaxis model with a single chemical (either chemo-attractant or chemo-repellent). Keywords: Attraction-repulsion chemotaxis, Hopf bifurcation, steady state bifurcation, how to use tart ringsWeb22 Oct 2014 · By studying the travelling wave solutions, we examine the shock structure for the chemotaxis model and prove that the travelling wave speed is identical to the shock speed. Moreover, we explicitly derive an entropy–entropy flux pair to prove the uniqueness of the weak shock solutions. Some discussion is given for further study. Copyrigh text how to use taskbarx windows 11