An efficient and robust numerical algorithm for estimating parameters in Turing systems

An efficient and robust numerical algorithm for estimating parameters in Turing systems

Čájet eará veršuvnnaid (1)

We present a new algorithm for estimating parameters in reaction-diffusion systems that display pattern formation via the mechanism of diffusion-driven instability. A Modified Discrete Optimal Control Algorithm (MDOCA) is illustrated with the Schnakenberg and Gierer-Meinhardt reaction-diffusion syst...

Bibliográfalaš dieđut
Váldodahkkit:	Garvie, MR, Maini, P, Trenchea, C
Materiálatiipa:	Journal article
Giella:	English
Almmustuhtton:	2010

Geahča maid

An efficient and robust numerical algorithm for estimating parameters in turing systems
Dahkki: Garvie, M, et al.
Almmustuhtton: (2010)

Turing's model for biological pattern formation and the robustness problem.
Dahkki: Maini, P, et al.
Almmustuhtton: (2012)

Turing's model for biological pattern formation and the robustness problem
Dahkki: Maini, P, et al.
Almmustuhtton: (2012)

Turing instabilities in general systems.
Dahkki: Satnoianu, R, et al.
Almmustuhtton: (2000)

Turing instabilities in general systems
Dahkki: Satnoianu, R, et al.
Almmustuhtton: (2000)

Turing's theory of morphogenesis
Dahkki: Maini, P
Almmustuhtton: (2013)

A two-dimensional numerical study of spatial pattern formation in interacting Turing systems.
Dahkki: Barrio, R, et al.
Almmustuhtton: (1999)

A two-dimensional numerical study of spatial pattern formation in interacting Turing systems
Dahkki: Barrio, R, et al.
Almmustuhtton: (1999)

Turing's mathematical theory of morphogenesis
Dahkki: Maini, P
Almmustuhtton: (2012)

Spatial and spatiotemporal pattern formation in generalised turing systems
Dahkki: Maini, P
Almmustuhtton: (1996)

Spatial and spatiotemporal pattern formation in generalised Turing systems
Dahkki: Maini, P
Almmustuhtton: (1996)

Turing patterns in fish skin?
Dahkki: Hofer, T, et al.
Almmustuhtton: (1996)

Turing patterns in fish skin?
Dahkki: Hofer, T, et al.
Almmustuhtton: (1996)

The turing model comes of molecular age
Dahkki: Maini, P, et al.
Almmustuhtton: (2006)

Parameter domains for Turing and stationary flow-distributed waves: I. The influence of nonlinearity
Dahkki: Satnoianu, R, et al.
Almmustuhtton: (2001)

On the speed of propagation in Turing patterns for reaction-diffusion systems
Dahkki: Klika, V, et al.
Almmustuhtton: (2024)

Pattern formation in Turing systems with mixed boundary conditions
Dahkki: Maini, P, et al.
Almmustuhtton: (1993)

The impact of Turing's work on pattern formation in biology
Dahkki: Maini, P
Almmustuhtton: (2004)

The mathematics of nature at the Alan Turing centenary
Dahkki: Barry Cooper, S, et al.
Almmustuhtton: (2012)

Oscillatory Turing Patterns in a Simple Reaction-Diffusion System
Dahkki: Liu, R, et al.
Almmustuhtton: (2007)

Oscillatory Turing patterns in a simple reaction-diffusion system
Dahkki: Liu, R, et al.
Almmustuhtton: (2007)

Turing patterns with pentagonal symmetry.
Dahkki: Aragón, J, et al.
Almmustuhtton: (2002)

How to generate pentagonal symmetry using Turing systems
Dahkki: Aragón, J, et al.
Almmustuhtton: (2002)

Spatial heterogeneity localizes Turing patterns in reaction-cross-diffusion systems
Dahkki: Gaffney, E, et al.
Almmustuhtton: (2023)

Developmental biology: the Turing model comes of molecular age
Dahkki: Maini, P, et al.
Almmustuhtton: (2006)

Modern perspectives on near-equilibrium analysis of Turing systems
Dahkki: Krause, AL, et al.
Almmustuhtton: (2021)

Parameter space analysis, pattern sensitivity and model comparison for Turing and stationary flow-distributed waves (FDS)
Dahkki: Satnoianu, R, et al.
Almmustuhtton: (2001)

Spatial patterning in modified Turing systems: Application to pigmentation patterns on marine fish
Dahkki: Aragón, J, et al.
Almmustuhtton: (1998)

Turing instability in the one-parameter Gierer–Meinhardt system
Dahkki: Revina, Svetlana Vasilyevna, et al.
Almmustuhtton: (2023-07-01)

Optimal network sizes for most robust Turing patterns
Dahkki: Hazlam S. Ahmad Shaberi, et al.
Almmustuhtton: (2025-01-01)

Analysis of stationary droplets in a generic Turing reaction-diffusion system.
Dahkki: Woolley, T, et al.
Almmustuhtton: (2010)

Analysis of stationary droplets in a generic Turing reaction-diffusion system
Dahkki: Woolley, T, et al.
Almmustuhtton: (2010)

Turing patterns in fish skin? (vol 380, pg 678, 1996)
Dahkki: Hofer, T, et al.
Almmustuhtton: (1996)

Turing pattern outside of the Turing domain
Dahkki: Flach, E, et al.
Almmustuhtton: (2006)

Pattern formation in spatially heterogeneous Turing reaction-diffusion models
Dahkki: Page, K, et al.
Almmustuhtton: (2003)

Unravelling the Turing bifurcation using spatially varying diffusion coefficients
Dahkki: Benson, D, et al.
Almmustuhtton: (1998)

Pattern formation in spatially heterogeneous Turing reaction-diffusion models
Dahkki: Page, K, et al.
Almmustuhtton: (2003)

Unravelling the Turing bifurcation using spatially varying diffusion coefficients
Dahkki: Benson, D, et al.
Almmustuhtton: (1998)

Bespoke Turing systems
Dahkki: Woolley, TE, et al.
Almmustuhtton: (2021)

Nonlinear effects on Turing patterns: time oscillations and chaos.
Dahkki: Aragón, J, et al.
Almmustuhtton: (2012)