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

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

Бусад хувилбаруудыг харуулах (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...

Бүрэн тодорхойлолт

Номзүйн дэлгэрэнгүй
Үндсэн зохиолчид:	Miura, T, Maini, P
Формат:	Journal article
Хэл сонгох:	English
Хэвлэсэн:	2004

Ижил төстэй зүйлс

Periodic pattern formation in reaction-diffusion systems -an introduction for numerical simulation
-н: Miura, T, зэрэг
Хэвлэсэн: (2004)

Speed of pattern appearance in reaction-diffusion models: implications in the pattern formation of limb bud mesenchyme cells.
-н: Miura, T, зэрэг
Хэвлэсэн: (2004)

Speed of pattern appearance in reaction-diffusion models: Implications in the pattern formation of limb bud mesenchyme cells
-н: Miura, T, зэрэг
Хэвлэсэн: (2004)

Reaction-diffusion models for biological pattern formation
-н: Crampin, E, зэрэг
Хэвлэсэн: (2001)

Complex pattern formation in reaction diffusion systems with spatially-varying parameters
-н: Page, K, зэрэг
Хэвлэсэн: (2005)

Complex pattern formation in reaction-diffusion systems with spatially varying parameters
-н: Page, K, зэрэг
Хэвлэсэн: (2005)

Pattern formation in reaction diffusion models with spatially inhomogeneous diffusion coefficients
-н: Maini, P, зэрэг
Хэвлэсэн: (1992)

PATTERN-FORMATION IN REACTION DIFFUSION-MODELS WITH SPATIALLY INHOMOGENEOUS DIFFUSION-COEFFICIENTS
-н: Maini, P, зэрэг
Хэвлэсэн: (1992)

Pattern formation in reaction-diffusion models with nonuniform growth
-н: Crampin, E, зэрэг
Хэвлэсэн: (2002)

ANALYSIS OF PATTERN-FORMATION IN REACTION-DIFFUSION MODELS WITH SPATIALLY INHOMOGENOUS DIFFUSION-COEFFICIENTS
-н: Benson, D, зэрэг
Хэвлэсэн: (1993)

Analysis of pattern formation in reaction diffusion models with spatially inhomogeneous diffusion coefficients
-н: Benson, D, зэрэг
Хэвлэсэн: (1993)

Pattern formation in reaction-diffusion models with nonuniform domain growth.
-н: Crampin, E, зэрэг
Хэвлэсэн: (2002)

Reaction and diffusion on growing domains: scenarios for robust pattern formation.
-н: Crampin, E, зэрэг
Хэвлэсэн: (1999)

Pattern formation in spatially heterogeneous Turing reaction-diffusion models
-н: Page, K, зэрэг
Хэвлэсэн: (2003)

Reaction and diffusion on growing domains: Scenarios for robust pattern formation
-н: Crampin, E, зэрэг
Хэвлэсэн: (1999)

Pattern formation in spatially heterogeneous Turing reaction-diffusion models
-н: Page, K, зэрэг
Хэвлэсэн: (2003)

PATTERN-FORMATION MECHANISMS - A COMPARISON OF REACTION-DIFFUSION AND MECHANOCHEMICAL MODELS
-н: Murray, J, зэрэг
Хэвлэсэн: (1989)

Pattern formation mechanisms - a comparison of reaction diffusion and mechanochemical models
-н: Murray, J, зэрэг
Хэвлэсэн: (1989)

Turing pattern formation in reaction-cross-diffusion systems with a bilayer geometry
-н: Diaz, A, зэрэг
Хэвлэсэн: (2024)

On the speed of propagation in Turing patterns for reaction-diffusion systems
-н: Klika, V, зэрэг
Хэвлэсэн: (2024)

Stochastic reaction and diffusion on growing domains: Understanding the breakdown of robust pattern formation
-н: Woolley, T, зэрэг
Хэвлэсэн: (2011)

Stochastic reaction and diffusion on growing domains: understanding the breakdown of robust pattern formation.
-н: Woolley, T, зэрэг
Хэвлэсэн: (2011)

Oscillatory Turing Patterns in a Simple Reaction-Diffusion System
-н: Liu, R, зэрэг
Хэвлэсэн: (2007)

Oscillatory Turing patterns in a simple reaction-diffusion system
-н: Liu, R, зэрэг
Хэвлэсэн: (2007)

Velocity-induced numerical solutions of reaction-diffusion systems on continuously growing domains
-н: Madzvamuse, A, зэрэг
Хэвлэсэн: (2007)

Velocity-induced numerical solutions of reaction-diffusion systems on continuously growing domains
-н: Madzvamuse, A, зэрэг
Хэвлэсэн: (2007)

Stochastic reaction & diffusion on growing domains: understanding the breakdown of robust pattern formation
-н: Woolley, T, зэрэг
Хэвлэсэн: (2011)

Isolating patterns in open reaction-diffusion systems
-н: Krause, AL, зэрэг
Хэвлэсэн: (2021)

Effects of intrinsic stochasticity on delayed reaction-diffusion patterning systems.
-н: Woolley, T, зэрэг
Хэвлэсэн: (2012)

Effects of intrinsic stochasticity on delayed reaction-diffusion patterning systems.
-н: Woolley, T, зэрэг
Хэвлэсэн: (2012)

Effects of intrinsic stochasticity on delayed reaction-diffusion patterning systems
-н: Woolley, T, зэрэг
Хэвлэсэн: (2012)

Spatial heterogeneity localizes Turing patterns in reaction-cross-diffusion systems
-н: Gaffney, E, зэрэг
Хэвлэсэн: (2023)

Steady-state patterns in a reaction diffusion system with mixed boundary conditions
-н: Maini, P, зэрэг
Хэвлэсэн: (1993)

STEADY-STATE PATTERNS IN A REACTION-DIFFUSION SYSTEM WITH MIXED BOUNDARY-CONDITIONS
-н: Maini, P, зэрэг
Хэвлэсэн: (1993)

Numerical Approach to a Nonlocal Advection-Reaction-Diffusion Model of Cartilage Pattern Formation
-н: Tilmann Glimm, зэрэг
Хэвлэсэн: (2020-06-01)

Turing Bifurcation and Pattern Formation of Stochastic Reaction-Diffusion System
-н: Qianiqian Zheng, зэрэг
Хэвлэсэн: (2017-01-01)

On the Spatiotemporal Pattern Formation in Nonlinear Coupled Reaction–Diffusion Systems
-н: Satyvir Singh, зэрэг
Хэвлэсэн: (2023-10-01)

Mixed-mode pattern in Doublefoot mutant mouse limb--Turing reaction-diffusion model on a growing domain during limb development.
-н: Miura, T, зэрэг
Хэвлэсэн: (2006)

Mixed mode pattern in Doublefoot mutant mouse limb - Turing reaction-diffusion model on a growing domain during limb development
-н: Miura, T, зэрэг
Хэвлэсэн: (2006)

A practical guide to stochastic simulations of reaction-diffusion processes
-н: Erban, R, зэрэг
Хэвлэсэн: (2007)