Results 31 to 40 of about 469,036 (195)
Competitive effects between stationary chemical reaction centres: a theory based on off-center monopoles. [PDF]
, 2015 The subject of this paper is competitive effects between multiple reaction sinks. A theory based on off-center monopoles is developed for the steady-state diffusion equation and for the convection-diffusion equation with a constant flow field.
Biello, Joseph A, Samson, René
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, 2010 We propose a new method to construct an isotropic cellular automaton corresponding to a reaction-diffusion equation. The method consists of replacing the diffusion term and the reaction term of the reaction-diffusion equation with a random walk of ...
Deutsch A. +16 more
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Hierarchical Reaction-Diffusion Master Equation
, 2019 We have developed an algorithm coupling mesoscopic simulations on different levels in a hierarchy of Cartesian meshes. Based on the multiscale nature of the chemical reactions, some molecules in the system will live on a fine-grained mesh, while others ...
Hellander, Andreas, Hellander, Stefan
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A convergent reaction-diffusion master equation [PDF]
The Journal of Chemical Physics, 2013 The reaction-diffusion master equation (RDME) is a lattice stochastic reaction-diffusion model that has been used to study spatially distributed cellular processes. The RDME is often interpreted as an approximation to spatially continuous models in which molecules move by Brownian motion and react by one of several mechanisms when sufficiently close ...
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Image Quantization Using Reaction-Diffusion Equations [PDF]
SIAM Journal on Applied Mathematics, 1997 Q1
Alvarez, Luis, Esclarín, Julio
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Instability of Turing patterns in reaction-diffusion-ODE systems
, 2016 The aim of this paper is to contribute to the understanding of the pattern formation phenomenon in reaction-diffusion equations coupled with ordinary differential equations.
Karch, Grzegorz +2 more
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Symmetry, Integrability and Geometry: Methods and Applications, 2011 A novel symmetry method for finding exact solutions to nonlinear PDEs is illustrated by applying it to a semilinear reaction-diffusion equation in multi-dimensions.
Stephen C. Anco, Sajid Ali, Thomas Wolf
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Regularity of Global Attractor for the Reaction-Diffusion Equation
Abstract and Applied Analysis, 2012 By using an iteration procedure, regularity estimates for the linear semigroups, and a classical existence theorem of global attractor, we prove that the reaction-diffusion equation possesses a global attractor in Sobolev space Hk for all k>0, which ...
Hong Luo
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Hyers-Ulam stability of a nonautonomous semilinear equation with fractional diffusion
Demonstratio Mathematica, 2020 In this paper, we study the Hyers-Ulam stability of a nonautonomous semilinear reaction-diffusion equation. More precisely, we consider a nonautonomous parabolic equation with a diffusion given by the fractional Laplacian. We see that such a stability is
Villa-Morales José
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A microscopic approach to nonlinear Reaction-Diffusion: the case of morphogen gradient formation
, 2011 We develop a microscopic theory for reaction-difusion (R-D) processes based on a generalization of Einstein's master equation with a reactive term and we show how the mean field formulation leads to a generalized R-D equation with non-classical solutions.
Christopher Lutsko +3 more
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