Bespoke Turing systems
From MaRDI portal
Publication:2662110
DOI10.1007/s11538-021-00870-yzbMath1460.92028OpenAlexW3137929971WikidataQ113900190 ScholiaQ113900190MaRDI QIDQ2662110
Thomas E. Woolley, Andrew L. Krause, Eamonn A. Gaffney
Publication date: 8 April 2021
Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11538-021-00870-y
Related Items (13)
Continuation and bifurcation in nonlinear PDEs - algorithms, applications, and experiments ⋮ Image analysis for patterns in solutions of reaction-diffusion equations ⋮ Fixed and distributed gene expression time delays in reaction-diffusion systems ⋮ Boundary conditions cause different generic bifurcation structures in Turing systems ⋮ A Bayesian Approach to Modeling Biological Pattern Formation with Limited Data ⋮ VisualPDE: rapid interactive simulations of partial differential equations ⋮ Modeling Polarity-Driven Laminar Patterns in Bilayer Tissues with Mixed Signaling Mechanisms ⋮ Concentration-dependent domain evolution in reaction-diffusion systems ⋮ Spatial heterogeneity localizes Turing patterns in reaction-cross-diffusion systems ⋮ Learning system parameters from Turing patterns ⋮ Turing instabilities are not enough to ensure pattern formation ⋮ Special collection: Celebrating J. D. Murray's contributions to mathematical biology ⋮ Cross-diffusion effects on stationary pattern formation in the Fitzhugh-Nagumo model
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Stability analysis of non-autonomous reaction-diffusion systems: The effects of growing domains
- Bayesian parameter identification for Turing systems on stationary and evolving domains
- Statistical approach for parameter identification by Turing patterns
- A two-dimensional numerical study of spatial pattern formation in interacting Turing systems
- Reaction and diffusion on growing domains: scenarios for robust pattern formation
- Selective pattern formation control: spatial spectrum consensus and Turing instability approach
- Formation and control of Turing patterns and phase fronts in photonics and chemistry
- Pattern sensitivity to boundary and initial conditions in reaction- diffusion models
- Lateral inhibition models of developmental processes
- Pattern formation in generalized Turing systems. I: Steady-state patterns in systems with mixed boundary conditions
- Mathematical biology. Vol. 2: Spatial models and biomedical applications.
- A new dimension to Turing patterns
- Turing instabilities and pattern formation in a benthic nutrient-microorganism system
- Pattern formation in three-dimensional reaction-diffusion systems
- Weakly nonlinear analysis of Turing patterns in a morphochemical model for metal growth
- Coloured noise from stochastic inflows in reaction-diffusion systems
- The Turing model for biological pattern formation
- Turing conditions for pattern forming systems on evolving manifolds
- Turing-Hopf patterns on growing domains: the torus and the sphere
- The inverse problem in mathematical biology
- Extending the mathematical palette for developmental pattern formation: piebaldism
- Using experimental data and information criteria to guide model selection for reaction-diffusion problems in mathematical biology
- The influence of receptor-mediated interactions on reaction-diffusion mechanisms of cellular self-organisation
- Influence of curvature, growth, and anisotropy on the evolution of Turing patterns on growing manifolds
- Pattern formation for a two-dimensional reaction-diffusion model with chemotaxis
- An efficient and robust numerical algorithm for estimating parameters in Turing systems
- Turing Patterns in Deserts
- pde2path - A Matlab Package for Continuation and Bifurcation in 2D Elliptic Systems
- Reaction-Diffusion Model as a Framework for Understanding Biological Pattern Formation
- Stripes or spots? Nonlinear effects in bifurcation of reaction—diffusion equations on the square
- The Intersection of Theory and Application in Elucidating Pattern Formation in Developmental Biology
- The Once and Future Turing
- The chemical basis of morphogenesis
- History dependence and the continuum approximation breakdown: the impact of domain growth on Turing’s instability
- Domain Size Driven Instability: Self-Organization in Systems with Advection
- Turing and Benjamin–Feir instability mechanisms in non-autonomous systems
- Diffusive instabilities and spatial patterning from the coupling of reaction–diffusion processes with Stokes flow in complex domains
- Topological data analysis of zebrafish patterns
- Turing instabilities in general systems
This page was built for publication: Bespoke Turing systems
