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pro vyhledávání: '"92c17 (primary)"'
Autor:
Gnanasekaran, Shanmugasundaram, Columbu, Alessandro, Fuentes, Rafael Díaz, Nithyadevi, Nagarajan
This paper investigates the properties of classical solutions to a class of chemotaxis systems that model interactions between tumor and immune cells. Our focus is on examining the global existence and explosion of such solutions in bounded domains o
Externí odkaz:
http://arxiv.org/abs/2402.16647
In this paper, we study the global dynamics of a general reaction-diffusion model based on acid-mediated invasion hypothesis, which is a candidate explanation for the Warburg effect. A key feature of this model is the density-limited tumor diffusion
Externí odkaz:
http://arxiv.org/abs/2302.04765
Chemotaxis plays a crucial role in a variety of processes in biology and ecology. Quite often it acts to improve efficiency of biological reactions. One example is the immune system signalling, where infected tissues release chemokines attracting mon
Externí odkaz:
http://arxiv.org/abs/2004.06441
This paper deals with convergence of solutions to a class of parabolic Keller-Segel systems, possibly coupled to the (Navier-)Stokes equations in the framework of the full model \begin{eqnarray*} \left\{ \begin{array}{lcl} \, \, \partial_t n_{\epsilo
Externí odkaz:
http://arxiv.org/abs/1805.05263
Publikováno v:
Advances in Nonlinear Analysis, Vol 10, Iss 1, Pp 707-731 (2020)
The Keller-Segel-Stokes system
Externí odkaz:
https://doaj.org/article/26a9e3ea0fc04614bea9af1d86c9cff5
Autor:
Kavallaris, Nikos, Souplet, Philippe
We consider a special case of the Patlak-Keller-Segel system in a disc, which arises in the modelling of chemotaxis phenomena. For a critical value of the total mass, the solutions are known to be global in time but with density becoming unbounded, l
Externí odkaz:
http://arxiv.org/abs/0804.4549
In this paper, we study the global dynamics of a general reaction-diffusion model based on acid-mediated invasion hypothesis, which is a candidate explanation for the Warburg effect. A key feature of this model is the density-limited tumor diffusion
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::12225a8f876b42796d60a4c10b525660
Publikováno v:
Advances in Nonlinear Analysis, Vol 10, Iss 1, Pp 707-731 (2020)
The Keller-Segel-Stokes system (*) n t + u ⋅ ∇ n = Δ n − ∇ ⋅ ( n ∇ c ) + ρ n − μ n α , c t + u ⋅ ∇ c = Δ c − c + n , u t = Δ u + ∇ P − n ∇ Λ , ∇ ⋅ u = 0 , $$\begin{eqnarray*} \left\{ \begin{array}{lcll} n_t + u\cd
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5b47ef4b1ce197931569d8514e2a4d0a
https://doaj.org/article/26a9e3ea0fc04614bea9af1d86c9cff5
https://doaj.org/article/26a9e3ea0fc04614bea9af1d86c9cff5
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