Results 31 to 40 of about 3,785,943 (309)
Evolution of cross-diffusion and self-diffusion
Journal of Biological Dynamics, 2009 This article is concerned with the evolution of certain types of density-dependent dispersal strategy in the context of two competing species with identical population dynamics and same random dispersal rates. Such density-dependent movement, often referred to as cross-diffusion and self-diffusion, assumes that the movement rate of each species depends
Yuan, Lou, Salome, Martínez
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Existence of Solutions to Reaction Cross Diffusion Systems
SIAM Journal on Mathematical Analysis, 2023 Reaction cross diffusion systems are a two species generalization of the porous media equation. These systems play an important role in the mechanical modeling of living tissues and tumor growth. Due to their mixed parabolic-hyperbolic structure, even proving the existence of solutions to these equations is challenging.
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Envelope Quasisolitons in Dissipative Systems with Cross-Diffusion [PDF]
Physical Review Letters, 2011 We consider two-component nonlinear dissipative spatially extended systems of reaction-cross-diffusion type. Previously, such systems were shown to support "quasi-soliton" pulses, which have fixed stable structure but can reflect from boundaries and penetrate each other.
Biktashev, V. N., Tsyganov, M. A.
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Cross-diffusion-driven instability for reaction-diffusion systems: analysis and simulations
, 2015 By introducing linear cross-diffusion for a two-component reaction-diffusion system withactivator-depletedreaction kinetics (Gierer and Meinhardt,Kybernetik 12:30–39,1972;PrigogineandLefever,JChemPhys48:1695–1700,1968;Schnakenberg, J Theor Biol 81:389 ...
Ndakwo, Hussaini +5 more
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Diffusion, Self-Diffusion and Cross-Diffusion
Journal of Differential Equations, 1996 The following system, which determines steady-state solutions for a corresponding parabolic system, is considered: \[ \begin{aligned} \Delta[(d_1+\alpha_{11}u_1+\alpha_{12}u_2)u_1] &+u_1(a_1-b_1u_1-c_1u_2)=0,\\ \Delta[(d_2+\alpha_{21}u_1+\alpha_{22}u_2)u_2] &+u_2(a_2-b_2u_1-c_2u_2)=0\quad\text{in }\Omega,\end{aligned} \] \[ {\partial u_1\over\partial ...
Lou, Yuan, Ni, Wei-Ming
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Coaxial Cross-Diffusion through Carbon Nantoubes
The Journal of Physical Chemistry B, 2009 We present results from nonequilibrium molecular dynamics experiments describing the relaxation of local concentrations at two reservoirs, initially filled with water (W) and acetonitrile (ACN), as they become connected through a membrane composed of (16,16) carbon nanotubes.
Rodriguez, Javier +2 more
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Rigorous mean-field limit and cross-diffusion [PDF]
Zeitschrift für angewandte Mathematik und Physik, 2019 The mean-field limit in a weakly interacting stochastic many-particle system for multiple population species in the whole space is proved. The limiting system consists of cross-diffusion equations, modeling the segregation of populations. The mean-field limit is performed in two steps: First, the many-particle system leads in the large population limit
Li Chen, Esther S. Daus, Ansgar Jüngel
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FEBS Letters, EarlyView.Plasma membranes contain dynamic nanoscale domains that organize lipids and receptors. Because viruses operate at similar scales, this architecture shapes early infection steps, including attachment, receptor engagement, and entry. Using influenza A virus and HIV‐1 as examples, we highlight how receptor nanoclusters, multivalent glycan interactions ...
Jan Schlegel, Christian Sieben
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Influence of cross-diffusion on the fecally-orally epidemic model with spatial heterogeneity
Advances in Difference Equations, 2017 A strongly coupled cooperative parabolic system, which describes fecally-orally epidemic model with cross-diffusion in a heterogeneous environment, was formulated and analyzed.
Jing Ge, Zhigui Lin, Qunying Zhang
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The ubiquitin‐proteasome system and autophagy as guardians of the cellular proteome
FEBS Letters, EarlyView.This Perspective covers the three principles governing the crosstalk between the ubiquitin‐proteasome system and autophagy in cellular proteostasis: (1) a shared ubiquitin code routing substrates via shuttle factors or autophagy receptors; (2) spatial compartmentalization into phase‐separated degradation hubs and organelle‐specific modules (exemplified
Ivan Dikic
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