Results 81 to 90 of about 893,395 (191)

Modeling reaction-diffusion of molecules on surface and in volume spaces with the E-Cell System [PDF]

, 2009
The-Cell System is an advanced open-source simulation platform to model and analyze biochemical reaction networks. The present algorithm modules of the system assume that the reacting molecules are all homogeneously distributed in the reaction ...
Masaru Tomita, Satya N. V. Arjunan
core   +1 more source

Lie symmetries of the Shigesada-Kawasaki-Teramoto system [PDF]

, 2016
The Shigesada-Kawasaki-Teramoto system, which consists of two reaction-diffusion equations with variable cross-diffusion and quadratic nonlinearities, is considered.
Cherniha, Roman, Davydovych, Vasyl', Muzyka, Liliia   +2 more
core   +2 more sources

A link between microscopic and macroscopic models of self-organized aggregation

Networks and Heterogeneous Media, 2012
In some species, one of the roles of pheromonesis to influence aggregation behavior. We first proposea macroscopic cross-diffusion model for theself-organized aggregation of German cockroaches thatincludes directed movement due to an aggregation ...
Tadahisa Funaki, Hirofumi Izuhara, Masayasu Mimura, Chiyori Urabe   +3 more
doaj   +1 more source

The gradient discretisation method for the chemical reactions of biochemical systems [PDF]

Arab Journal of Mathematical Sciences
Purpose – The main purpose of this paper is to introduce the gradient discretisation method (GDM) to a system of reaction diffusion equations subject to non-homogeneous Dirichlet boundary conditions.
Yahya Alnashri, Hasan Alzubaidi
doaj   +1 more source

Localization-delocalization transition of a reaction-diffusion front near a semipermeable wall

, 1997
The A+B --> C reaction-diffusion process is studied in a system where the reagents are separated by a semipermeable wall. We use reaction-diffusion equations to describe the process and to derive a scaling description for the long-time behavior of the ...
A. Büki, B. Chopard, B. Chopard, B. Chopard, Bastien Chopard, D. W. Fawcett, E. Ben-Naim, E. L. Cabarcos, F. Leyvraz, G. T. Barkema, G. T. Dee, H. Larralde, H. Taitelbaum, H. Taitelbaum, J. S. Langer, Jéro⁁me Magnin, L. Gálfi, M. Araujo, M. C. Cross, M. Howard, M. J. E. Richardson, Michel Droz, O. R. Anderson, S. Cornell, S. Cornell, S. Cornell, Y. E. Lee Koo, Y. E. Lee Koo, Z. Jiang, Z. Koza, Z. Koza, Zoltán Rácz   +31 more
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Comment on ``Critical behavior of a two-species reaction-diffusion problem''

, 2000
In a recent paper, de Freitas et al. [Phys. Rev. E 61, 6330 (2000)] presented simulational results for the critical exponents of the two-species reaction-diffusion system A + B -> 2B and B -> A in dimension d = 1.
C. De Dominicis, F. van Wijland, H.K. Janssen, H.K. Janssen, Hans-Karl Janssen, J.E. de Freitas, K. Oerding, R. Kree, U.L. Fülco, U.L. Fülco   +9 more
core   +1 more source

Turing pattern or system heterogeneity? A numerical continuation approach to assessing the role of Turing instabilities in heterogeneous reaction-diffusion systems [PDF]

, 2023
Jacob C. Vandenberg, Mark B. Flegg
openalex   +1 more source

Stability Analysis for Impulsive Stochastic Reaction-Diffusion Differential System and Its Application to Neural Networks

Journal of Applied Mathematics, 2013
This paper is concerned with the stability of impulsive stochastic reaction-diffusion differential systems with mixed time delays. First, an equivalent relation between the solution of a stochastic reaction-diffusion differential system with time delays ...
Yanke Du, Yanlu Li, Rui Xu
doaj   +1 more source

On a Conjecture of Goriely for the Speed of Fronts of the Reaction--Diffusion Equation

, 1996
In a recent paper Goriely considers the one--dimensional scalar reaction--diffusion equation $u_t = u_{xx} + f(u)$ with a polynomial reaction term $f(u)$ and conjectures the existence of a relation between a global resonance of the hamiltonian system ...
A. Goriely, A. Kolmogorov, A.I. Volpert, D. G. Aronson, J. Cisternas, K. P. Hadeler, K. Showalter, M. C. Depassier, N. F. Britton, P. C. Fife, R. D. Benguria, R. D. Benguria, R. D. Benguria   +12 more
core   +1 more source

Comparison of Synchronization Speed of Regular Networks of Reaction-Diffusion Systems of FitzHugh-Nagumo Type with Unidirectional and Bidirectional Coupling [PDF]

, 2023
Phan Long, An Giang, Ambrosio Aziz-Alaoui, M, Ambrosio Aziz-Alaoui, M, M Aziz-Alaoui, A Hodgkin, A Huxley, J Nagumo, S Arimoto, S Yoshizawa   +11 more
openalex   +1 more source