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Fractional reaction-diffusion equation [PDF]
The Journal of Chemical Physics, 2003 A fractional reaction-diffusion equation is derived from a continuous time random walk model when the transport is dispersive. The exit from the encounter distance, which is described by the algebraic waiting time distribution of jump motion, interferes with the reaction at the encounter distance. Therefore, the reaction term has a memory effect.
Seki, Kazuhiko +2 more
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Fractional Reaction-Diffusion Equations [PDF]
Astrophysics and Space Science, 2006 LaTeX, 17 pages, corrected ...
Saxena, R. K. +2 more
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Analysis of the spatio-temporal dynamics of a Rho-GEF-H1-myosin activator-inhibitor reaction-diffusion system [PDF]
Royal Society Open ScienceThis study presents a detailed mathematical analysis of the spatio-temporal dynamics of the RhoA-GEF-H1-myosin signalling network, modelled as a coupled system of reaction-diffusion equations.
Kudzanayi Zebedia Mapfumo +4 more
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Reaction-diffusion coupled inclusions with variable exponents and large diffusion [PDF]
Opuscula Mathematica, 2021 This work concerns the study of asymptotic behavior of coupled systems of \(p(x)\)-Laplacian differential inclusions. We obtain that the generalized semiflow generated by the coupled system has a global attractor, we prove continuity of the solutions ...
Jacson Simsen +2 more
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Single-Molecule Reaction-Diffusion
Biophysical Journal, 2023 AbstractWe propose to capture reaction-diffusion on a molecule-by-molecule basis from the fastest acquirable timescale, namely individual photon arrivals. We illustrate our method on intrinsically disordered human proteins, the linker histone H1.0 as well as its chaperone prothymosinα, as these diffuse through an illuminated confocal spot and interact ...
Lance W.Q. Xu +3 more
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Diffusion instability in a threevariable reaction-diffusion model [PDF]
Компьютерные исследования и моделирование, 2011 Investigation of occurrence of diffusion instability in a set of three reaction-diffusion equations is carried out. In the general case the condition for both Turing and wave instabilities are obtained.
Maria Yur'evna Borina, A. A. Polezhaev
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On Fractional-Order Discrete-Time Reaction Diffusion Systems
Mathematics, 2023 Reaction–diffusion systems have a broad variety of applications, particularly in biology, and it is well known that fractional calculus has been successfully used with this type of system.
Othman Abdullah Almatroud +3 more
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Solutions for Multitime Reaction–Diffusion PDE
Mathematics, 2022 A previous paper by our research group introduced the nonlinear multitime reaction–diffusion PDE (with oblique derivative) as a generalized version of the single-time model.
Cristian Ghiu, Constantin Udriste
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IEEE Access, 2022 This article is devoted to gain a better understanding of the synchronization control mechanism in networked, complex-valued reaction-diffusion systems via an impulsive and sampled-data controller.
G. Narayanan +5 more
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Reaction/Diffusion at Electrode/Solution Interfaces: The EC2 Reaction
International Journal of Electrochemical Science, 2009 A closed form analytical expression is derived for the normalized current versus potential response expected for a rotating disc electrode in which an initial fast electron transfer reaction is followed by a homogeneous electrochemical reaction which ...
Michael E G Lyons
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