• Thumbnail for Reaction–diffusion system
    Reactiondiffusion 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
  • Thumbnail for Turing pattern
    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
  • Thumbnail for The Chemical Basis of Morphogenesis
    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
  • Thumbnail for L-system
    Wikimedia Commons has media related to L-systems. Digital morphogenesis Iterated function system Reactiondiffusion system – Type of mathematical model that...
    36 KB (4,683 words) - 19:01, 29 April 2025
  • Thumbnail for Brusselator
    DEVELOPMENT OF A PYTHON PROGRAM FOR INVESTIGATION OF REACTION-DIFFUSION COUPLING IN OSCILLATING REACTIONS". "IDEA - Internet Differential Equations Activities"...
    4 KB (388 words) - 11:34, 26 September 2024
  • 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
  • Thumbnail for KPP–Fisher equation
    of reactiondiffusion 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
  • Thumbnail for Periodic travelling wave
    mathematical equations, including self-oscillatory systems, excitable systems and reactiondiffusion–advection systems. Equations of these types are widely used...
    28 KB (3,415 words) - 07:38, 14 October 2024
  • Thumbnail for Skin
    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 reactiondiffusion system, such as Fisher's equation, can be interpreted as a reflecting...
    4 KB (520 words) - 20:59, 21 March 2022
  • the system and its state at time t {\displaystyle t} . Michaelis–Menten kinetics Molecularity Petersen matrix Reactiondiffusion system Reactions on surfaces:...
    44 KB (7,576 words) - 01:17, 25 April 2025
  • dynamical system; the latter were said to provide a dynamic "context" for the inputs. In the language of later work, the reactiondiffusion system served...
    26 KB (2,891 words) - 15:49, 9 February 2025
  • Thumbnail for Alan Turing
    He suggested that a system of chemicals reacting with each other and diffusing across space, termed a reactiondiffusion system, could account for "the...
    148 KB (15,053 words) - 19:01, 26 April 2025
  • cycle Reactiondiffusion system Morphogenesis Chemistry (IUPAC), The International Union of Pure and Applied. "IUPAC - autocatalytic reaction (A00525)"...
    10 KB (1,429 words) - 22:57, 11 April 2025
  • Thumbnail for Pattern
    for example in the skin of mammals or the plumage of birds: a reactiondiffusion system involving two counter-acting chemical mechanisms, one that activates...
    26 KB (2,649 words) - 11:30, 21 April 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
  • Thumbnail for Wave
    Wave (redirect from Wave-like system)
    relativity; heat diffusion waves; plasma waves that combine mechanical deformations and electromagnetic fields; reactiondiffusion waves, such as in...
    61 KB (7,810 words) - 05:56, 1 April 2025
  • Thumbnail for Refractory period (physiology)
    u ˙ = 0 {\displaystyle {\dot {u}}=0} (for more details, see also Reactiondiffusion 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
  • Thumbnail for Fick's laws of diffusion
    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
  • 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
  • Thumbnail for Systems thinking
    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
  • Thumbnail for Partial differential equation
    Maxwell's equations Navier-Stokes equation Poisson's equation Reactiondiffusion system Schrödinger equation Wave equation Types of boundary conditions...
    49 KB (6,795 words) - 12:40, 14 April 2025
  • Thumbnail for Fingerprint
    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
  • 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
  • Collective cell migration Embryonic development Pattern formation Reactiondiffusion system Neurulation Gastrulation Axon guidance Eye development Polycystic...
    25 KB (2,724 words) - 18:06, 10 August 2024
  • Hantz reactions are a class of pattern-forming precipitation reactions in gels implementing a reactiondiffusion 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
  • 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) - 22:34, 20 April 2025
  • fisheries Nicholson–Bailey model Reactiondiffusion 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