Reaction–diffusion systems are mathematical models that correspond to several physical phenomena. The most common is the change in space and time of the...
29 KB (3,614 words) - 10:26, 4 July 2025
Turing pattern (redirect from Turing reaction–diffusion system)
differential diffusion of chemical species and chemical reaction. The instability mechanism is surprising because a pure diffusion, such as molecular diffusion, would...
19 KB (2,114 words) - 18:08, 23 June 2025
solitons are found in various types of reaction-diffusion systems in spite of large discrepancies e.g. in the local reaction terms. Such patterns have been dubbed...
4 KB (389 words) - 20:28, 29 September 2024
Wikimedia Commons has media related to L-systems. Digital morphogenesis Iterated function system Reaction–diffusion system – Type of mathematical model that...
36 KB (4,687 words) - 06:39, 25 June 2025
of reaction–diffusion system that can be used to model population growth and wave propagation. Fisher-KPP equation belongs to the class of reaction–diffusion...
7 KB (923 words) - 14:32, 2 June 2025
DEVELOPMENT OF A PYTHON PROGRAM FOR INVESTIGATION OF REACTION-DIFFUSION COUPLING IN OSCILLATING REACTIONS". "IDEA - Internet Differential Equations Activities"...
4 KB (395 words) - 21:58, 21 June 2025
physical system due to two processes: diffusion and convection. Depending on context, the same equation can be called the advection–diffusion equation...
20 KB (2,741 words) - 10:23, 4 July 2025
dynamical system; the latter were said to provide a dynamic "context" for the inputs. In the language of later work, the reaction–diffusion system served...
26 KB (2,912 words) - 07:19, 13 June 2025
condition. In spatial ecology, a Neumann boundary condition on a reaction–diffusion system, such as Fisher's equation, can be interpreted as a reflecting...
4 KB (520 words) - 20:59, 21 March 2022
pattern and it is believed to be the result of a reaction-diffusion system. This reaction-diffusion system combines an activator, Sonic hedgehog, with an...
36 KB (4,248 words) - 12:43, 24 June 2025
Autocatalysis (redirect from Autocatalytic reaction)
cycle Reaction–diffusion system Morphogenesis Chemistry (IUPAC), The International Union of Pure and Applied. "IUPAC - autocatalytic reaction (A00525)"...
10 KB (1,434 words) - 11:17, 30 June 2025
mathematical equations, including self-oscillatory systems, excitable systems and reaction–diffusion–advection systems. Equations of these types are widely used...
28 KB (3,415 words) - 07:38, 14 October 2024
He suggested that a system of chemicals reacting with each other and diffusing across space, termed a reaction–diffusion system, could account for "the...
148 KB (15,067 words) - 15:18, 7 July 2025
Rate equation (redirect from First order reaction)
the system and its state at time t {\displaystyle t} . Michaelis–Menten kinetics Molecularity Petersen matrix Reaction–diffusion system Reactions on surfaces:...
44 KB (7,578 words) - 06:10, 25 May 2025
for example in the skin of mammals or the plumage of birds: a reaction–diffusion system involving two counter-acting chemical mechanisms, one that activates...
26 KB (2,649 words) - 23:20, 29 May 2025
mathematical modeling and simulation of the underlying reaction-diffusion system. Similarly as in chemical systems, patterns can develop in a weakly ionized plasma...
16 KB (1,816 words) - 18:27, 5 July 2025
Wave (redirect from Wave-like system)
relativity; heat diffusion waves; plasma waves that combine mechanical deformations and electromagnetic fields; reaction–diffusion waves, such as in...
61 KB (7,810 words) - 01:40, 29 June 2025
contexts, enabling systems change. Systems thinking draws on and contributes to systems theory and the system sciences. The term system is polysemic: Robert...
19 KB (1,995 words) - 03:07, 26 May 2025
Dissipative soliton (category Systems theory)
processes in a larger class of experimental systems. Among these are Reaction–diffusion systems, used for chemical systems, gas-discharges and semiconductors....
40 KB (4,828 words) - 18:32, 19 February 2025
solutions Reaction-diffusion equation Fokker–Planck equation Fick's laws of diffusion Maxwell–Stefan equation Radiative transfer equation and diffusion theory...
10 KB (1,254 words) - 03:29, 30 April 2025
u ˙ = 0 {\displaystyle {\dot {u}}=0} (for more details, see also Reaction–diffusion and Parabolic partial differential equation). In physiology, a refractory...
11 KB (1,304 words) - 11:40, 16 November 2024
Partial differential equation (section Systems of first-order equations and characteristic surfaces)
Maxwell's equations Navier-Stokes equation Poisson's equation Reaction–diffusion system Schrödinger equation Wave equation Types of boundary conditions...
49 KB (6,800 words) - 08:09, 10 June 2025
Fingerprint (section Classification systems)
opposite relationship established by a Turing reaction-diffusion system. Before computerization, manual filing systems were used in large fingerprint repositories...
113 KB (12,150 words) - 16:37, 6 July 2025
JR (2008). "Fast Monte Carlo simulation methods for biological reaction-diffusion systems in solution and on surfaces". SIAM J. Sci. Comput. 30 (6): 3126–3149...
45 KB (3,405 words) - 17:12, 20 June 2025
A complex system is a system composed of many components that may interact with one another. Examples of complex systems are Earth's global climate, organisms...
48 KB (4,941 words) - 01:56, 15 June 2025
Self-organization (redirect from Self-organizing system)
drying-induced self-assembly, molecular self-assembly, reaction–diffusion systems and oscillating reactions, autocatalytic networks, liquid crystals, grid complexes...
61 KB (6,843 words) - 07:19, 24 June 2025
In mathematics and science, a nonlinear system (or a non-linear system) is a system in which the change of the output is not proportional to the change...
21 KB (2,645 words) - 12:32, 25 June 2025
Gaseous diffusion is a technology that was used to produce enriched uranium by forcing gaseous uranium hexafluoride (UF6) through microporous membranes...
18 KB (2,020 words) - 23:41, 23 June 2025
hydrodynamical systems show s.t. pattern formation: Rayleigh–Bénard convection Taylor–Couette flow Liquid crystal instabilities Any type of reaction–diffusion system...
6 KB (740 words) - 19:58, 1 July 2024
Collective cell migration Embryonic development Pattern formation Reaction–diffusion system Neurulation Gastrulation Axon guidance Eye development Polycystic...
25 KB (2,756 words) - 18:33, 28 June 2025