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 (3,606 words) - 12:03, 27 February 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 (2,143 words) - 15:56, 25 April 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...
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Wikimedia Commons has media related to L-systems. Digital morphogenesis Iterated function system Reaction–diffusion system – Type of mathematical model that...
36 KB (4,683 words) - 19:01, 29 April 2025
DEVELOPMENT OF A PYTHON PROGRAM FOR INVESTIGATION OF REACTION-DIFFUSION COUPLING IN OSCILLATING REACTIONS". "IDEA - Internet Differential Equations Activities"...
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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 (921 words) - 23:56, 5 March 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 (2,738 words) - 09:57, 22 April 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
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 (4,249 words) - 00:22, 6 March 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
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 (2,891 words) - 15:49, 9 February 2025
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 (15,053 words) - 19:01, 26 April 2025
Autocatalysis (redirect from Autocatalytic reaction)
cycle Reaction–diffusion system Morphogenesis Chemistry (IUPAC), The International Union of Pure and Applied. "IUPAC - autocatalytic reaction (A00525)"...
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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 (7,576 words) - 01:17, 25 April 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) - 11:30, 21 April 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) - 05:56, 1 April 2025
solutions Reaction-diffusion equation Fokker–Planck equation Fick's laws of diffusion Maxwell–Stefan equation Radiative transfer equation and diffusion theory...
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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
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 (1,824 words) - 00:44, 16 February 2024
Fick's laws of diffusion describe diffusion and were first posited by Adolf Fick in 1855 on the basis of largely experimental results. They can be used...
58 KB (8,249 words) - 04:55, 19 April 2025
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 (6,795 words) - 12:40, 14 April 2025
Collective cell migration Embryonic development Pattern formation Reaction–diffusion system Neurulation Gastrulation Axon guidance Eye development Polycystic...
25 KB (2,724 words) - 18:06, 10 August 2024
Systems theory is the transdisciplinary study of systems, i.e. cohesive groups of interrelated, interdependent components that can be natural or artificial...
53 KB (6,120 words) - 05:51, 15 April 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...
112 KB (12,076 words) - 22:05, 15 March 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) - 20:40, 21 April 2025
A complex system is a system composed of many components which may interact with each other. Examples of complex systems are Earth's global climate, organisms...
48 KB (4,933 words) - 05:15, 28 April 2025
Hantz reactions are a class of pattern-forming precipitation reactions in gels implementing a reaction–diffusion system. The precipitation patterns are...
9 KB (901 words) - 14:20, 24 April 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...
44 KB (3,383 words) - 17:51, 9 February 2024
Lotka–Volterra equations (redirect from Lotka-Volterra system)
fisheries Nicholson–Bailey model Reaction–diffusion system Paradox of enrichment Lanchester's laws, a similar system of differential equations for military...
34 KB (4,490 words) - 16:18, 24 April 2025
the nature of the Lotka–Volterra equations to something like a reaction–diffusion system. It is much easier, however, to keep the format of the equations...
21 KB (3,114 words) - 15:07, 27 August 2024