Periodic pattern formation in reaction-diffusion systems: an introduction for numerical simulation.

Periodic pattern formation in reaction-diffusion systems: an introduction for numerical simulation.

Показать другие версии (1)

The aim of the present review is to provide a comprehensive explanation of Turing reaction-diffusion systems in sufficient detail to allow readers to perform numerical calculations themselves. The reaction-diffusion model is widely studied in the field of mathematical biology, serves as a powerful p...

Полное описание

Библиографические подробности
Главные авторы:	Miura, T, Maini, P
Формат:	Journal article
Язык:	English
Опубликовано:	2004

Схожие документы

Periodic pattern formation in reaction-diffusion systems -an introduction for numerical simulation
по: Miura, T, и др.
Опубликовано: (2004)

Speed of pattern appearance in reaction-diffusion models: implications in the pattern formation of limb bud mesenchyme cells.
по: Miura, T, и др.
Опубликовано: (2004)

Speed of pattern appearance in reaction-diffusion models: Implications in the pattern formation of limb bud mesenchyme cells
по: Miura, T, и др.
Опубликовано: (2004)

Reaction-diffusion models for biological pattern formation
по: Crampin, E, и др.
Опубликовано: (2001)

Complex pattern formation in reaction diffusion systems with spatially-varying parameters
по: Page, K, и др.
Опубликовано: (2005)

Complex pattern formation in reaction-diffusion systems with spatially varying parameters
по: Page, K, и др.
Опубликовано: (2005)

Pattern formation in reaction diffusion models with spatially inhomogeneous diffusion coefficients
по: Maini, P, и др.
Опубликовано: (1992)

PATTERN-FORMATION IN REACTION DIFFUSION-MODELS WITH SPATIALLY INHOMOGENEOUS DIFFUSION-COEFFICIENTS
по: Maini, P, и др.
Опубликовано: (1992)

Pattern formation in reaction-diffusion models with nonuniform growth
по: Crampin, E, и др.
Опубликовано: (2002)

ANALYSIS OF PATTERN-FORMATION IN REACTION-DIFFUSION MODELS WITH SPATIALLY INHOMOGENOUS DIFFUSION-COEFFICIENTS
по: Benson, D, и др.
Опубликовано: (1993)

Analysis of pattern formation in reaction diffusion models with spatially inhomogeneous diffusion coefficients
по: Benson, D, и др.
Опубликовано: (1993)

Pattern formation in reaction-diffusion models with nonuniform domain growth.
по: Crampin, E, и др.
Опубликовано: (2002)

Reaction and diffusion on growing domains: scenarios for robust pattern formation.
по: Crampin, E, и др.
Опубликовано: (1999)

Pattern formation in spatially heterogeneous Turing reaction-diffusion models
по: Page, K, и др.
Опубликовано: (2003)

Reaction and diffusion on growing domains: Scenarios for robust pattern formation
по: Crampin, E, и др.
Опубликовано: (1999)

Pattern formation in spatially heterogeneous Turing reaction-diffusion models
по: Page, K, и др.
Опубликовано: (2003)

PATTERN-FORMATION MECHANISMS - A COMPARISON OF REACTION-DIFFUSION AND MECHANOCHEMICAL MODELS
по: Murray, J, и др.
Опубликовано: (1989)

Pattern formation mechanisms - a comparison of reaction diffusion and mechanochemical models
по: Murray, J, и др.
Опубликовано: (1989)

Turing pattern formation in reaction-cross-diffusion systems with a bilayer geometry
по: Diaz, A, и др.
Опубликовано: (2024)

On the speed of propagation in Turing patterns for reaction-diffusion systems
по: Klika, V, и др.
Опубликовано: (2024)

Stochastic reaction and diffusion on growing domains: Understanding the breakdown of robust pattern formation
по: Woolley, T, и др.
Опубликовано: (2011)

Stochastic reaction and diffusion on growing domains: understanding the breakdown of robust pattern formation.
по: Woolley, T, и др.
Опубликовано: (2011)

Oscillatory Turing Patterns in a Simple Reaction-Diffusion System
по: Liu, R, и др.
Опубликовано: (2007)

Oscillatory Turing patterns in a simple reaction-diffusion system
по: Liu, R, и др.
Опубликовано: (2007)

Velocity-induced numerical solutions of reaction-diffusion systems on continuously growing domains
по: Madzvamuse, A, и др.
Опубликовано: (2007)

Velocity-induced numerical solutions of reaction-diffusion systems on continuously growing domains
по: Madzvamuse, A, и др.
Опубликовано: (2007)

Stochastic reaction & diffusion on growing domains: understanding the breakdown of robust pattern formation
по: Woolley, T, и др.
Опубликовано: (2011)

Isolating patterns in open reaction-diffusion systems
по: Krause, AL, и др.
Опубликовано: (2021)

Effects of intrinsic stochasticity on delayed reaction-diffusion patterning systems.
по: Woolley, T, и др.
Опубликовано: (2012)

Effects of intrinsic stochasticity on delayed reaction-diffusion patterning systems.
по: Woolley, T, и др.
Опубликовано: (2012)

Effects of intrinsic stochasticity on delayed reaction-diffusion patterning systems
по: Woolley, T, и др.
Опубликовано: (2012)

Spatial heterogeneity localizes Turing patterns in reaction-cross-diffusion systems
по: Gaffney, E, и др.
Опубликовано: (2023)

Steady-state patterns in a reaction diffusion system with mixed boundary conditions
по: Maini, P, и др.
Опубликовано: (1993)

STEADY-STATE PATTERNS IN A REACTION-DIFFUSION SYSTEM WITH MIXED BOUNDARY-CONDITIONS
по: Maini, P, и др.
Опубликовано: (1993)

Numerical Approach to a Nonlocal Advection-Reaction-Diffusion Model of Cartilage Pattern Formation
по: Tilmann Glimm, и др.
Опубликовано: (2020-06-01)

Turing Bifurcation and Pattern Formation of Stochastic Reaction-Diffusion System
по: Qianiqian Zheng, и др.
Опубликовано: (2017-01-01)

On the Spatiotemporal Pattern Formation in Nonlinear Coupled Reaction–Diffusion Systems
по: Satyvir Singh, и др.
Опубликовано: (2023-10-01)

Pattern Formation in Two-Component Reaction-Diffusion Systems in Fluctuate Environment
по: V. V. Maximov, и др.
Опубликовано: (2010-03-01)

A practical guide to stochastic simulations of reaction-diffusion processes
по: Erban, R, и др.
Опубликовано: (2007)

Mixed-mode pattern in Doublefoot mutant mouse limb--Turing reaction-diffusion model on a growing domain during limb development.
по: Miura, T, и др.
Опубликовано: (2006)