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Turing patterns on radially growing domains: experiments and simulations
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/s00285-009-0293-4openalex-snapshot
Stability analysis of non-autonomous reaction-diffusion systems: the effects of growing domains
inferredcites →https://doi.org/10.1016/s0960-0779(03)00049-3openalex-snapshot
Vegetation patterns along a rainfall gradient
inferredcites →https://doi.org/10.1021/ja9910457openalex-snapshot
Control of the Chlorine Dioxide−Iodine−Malonic Acid Oscillating Reaction by Illumination
inferredcites →https://doi.org/10.1021/jp500432topenalex-snapshot
Target Turing Patterns and Growth Dynamics in the Chlorine Dioxide–Iodine–Malonic Acid Reaction
inferredcites →https://doi.org/10.1038/352610a0openalex-snapshot
Transition from a uniform state to hexagonal and striped Turing patterns
inferredcites →https://doi.org/10.1038/376765a0openalex-snapshot
A reaction–diffusion wave on the skin of the marine angelfish Pomacanthus
inferredcites →https://doi.org/10.1038/scientificamerican0388-80openalex-snapshot
How the Leopard Gets its Spots
inferredcites →https://doi.org/10.1039/c1cp20949copenalex-snapshot
Locking of Turing patterns in the chlorine dioxide–iodine–malonic acid reaction with one-dimensional spatial periodic forcing
inferredcites →https://doi.org/10.1039/c2cp23779bopenalex-snapshot
Turing patterns in the chlorine dioxide–iodine–malonic acid reaction with square spatial periodic forcing
inferredcites →https://doi.org/10.1063/1.453935openalex-snapshot
Sustained spiral waves in a continuously fed unstirred chemical reactor
inferredcites →https://doi.org/10.1073/pnas.0500781102openalex-snapshot
Molecular evidence for an activator–inhibitor mechanism in development of embryonic feather branching
inferredcites →https://doi.org/10.1073/pnas.89.9.3977openalex-snapshot
A chemical approach to designing Turing patterns in reaction-diffusion systems.
inferredcites →https://doi.org/10.1098/rsfs.2011.0113openalex-snapshot
Turing's model for biological pattern formation and the robustness problem
inferredcites →https://doi.org/10.1098/rspa.1991.0100openalex-snapshot
Stripes or spots? Nonlinear effects in bifurcation of reaction—diffusion equations on the square
inferredcites →https://doi.org/10.1098/rspa.2016.0744openalex-snapshot
History dependence and the continuum approximation breakdown: the impact of domain growth on Turing’s instability
inferredcites →https://doi.org/10.1098/rstb.1952.0012openalex-snapshot
The chemical basis of morphogenesis
inferredcites →https://doi.org/10.1103/physreve.56.1250openalex-snapshot
Confined Turing patterns in growing systems
inferredcites →https://doi.org/10.1103/physreve.74.011914openalex-snapshot
Two-stage Turing model for generating pigment patterns on the leopard and the jaguar
inferredcites →https://doi.org/10.1103/physrevlett.117.056001openalex-snapshot
Multifold Increases in Turing Pattern Wavelength in the Chlorine Dioxide-Iodine-Malonic Acid Reaction-Diffusion System
inferredcites →https://doi.org/10.1103/physrevlett.64.2953openalex-snapshot
Experimental evidence of a sustained standing Turing-type nonequilibrium chemical pattern
inferredcites →https://doi.org/10.1103/physrevlett.96.048304openalex-snapshot
Effect of Axial Growth on Turing Pattern Formation
inferredcites →https://doi.org/10.1126/science.1169973openalex-snapshot
An Experimental Design Method Leading to Chemical Turing Patterns
inferredcites →https://doi.org/10.1126/science.1179047openalex-snapshot
Reaction-Diffusion Model as a Framework for Understanding Biological Pattern Formation
inferredcites →https://doi.org/10.1126/science.251.4994.650openalex-snapshot
Modeling of Turing Structures in the Chlorite—Iodide—Malonic Acid—Starch Reaction System
inferredcites →https://doi.org/10.1890/0012-9658(2001)082[0050:vpfisa]2.0.co;2openalex-snapshot
VEGETATION PATTERN FORMATION IN SEMI-ARID GRAZING SYSTEMS
inferredcites →https://doi.org/10.3934/dcds.2012.32.3975openalex-snapshot
Characterization of turing diffusion-driven instability on evolving domains
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1007/s00285-021-01552-yopenalex-snapshot
Turing conditions for pattern forming systems on evolving manifolds
inferred← citeshttps://doi.org/10.1016/j.chaos.2023.113249openalex-snapshot
Computer simulation of the nonhomogeneous zebra pattern formation using a mathematical model with space-dependent parameters
inferred← citeshttps://doi.org/10.1016/j.isci.2024.109822openalex-snapshot
Unraveling biochemical spatial patterns: Machine learning approaches to the inverse problem of stationary Turing patterns
inferred← citeshttps://doi.org/10.1016/j.jtbi.2021.110901openalex-snapshot
The design principles of discrete turing patterning systems
inferred← citeshttps://doi.org/10.1016/j.mbs.2025.109431openalex-snapshot
Characterizing symmetry transitions in systems with dynamic morphology
inferred← citeshttps://doi.org/10.1016/j.physd.2022.133297openalex-snapshot
Control of diffusion-driven pattern formation behind a wave of competency
inferred← citeshttps://doi.org/10.1016/j.physd.2024.134268openalex-snapshot
On the speed of propagation in Turing patterns for reaction–diffusion systems
inferred← citeshttps://doi.org/10.1016/j.semcdb.2022.04.009openalex-snapshot
Self-organized collective cell behaviors as design principles for synthetic developmental biology
inferred← citeshttps://doi.org/10.1021/acs.jpclett.6c02604openalex-snapshot
Curved Reaction–Diffusion Fronts Generate Quasi-Symmetric Phyllotaxis in a Chemical Turing System
inferred← citeshttps://doi.org/10.1038/s41598-021-89116-4openalex-snapshot
Influence of survival, promotion, and growth on pattern formation in zebrafish skin
inferred← citeshttps://doi.org/10.1039/d4cp01777copenalex-snapshot
Turing patterns on rotating spiral growing domains
inferred← citeshttps://doi.org/10.1039/d5cp04265hopenalex-snapshot
Boundary effects on Turing pattern formation in a spiral growing domain
inferred← citeshttps://doi.org/10.1063/5.0099753openalex-snapshot
Effect of obstructions on growing Turing patterns
inferred← citeshttps://doi.org/10.1063/5.0170039openalex-snapshot
Transverse modulational dynamics of quenched patterns
inferred← citeshttps://doi.org/10.1088/1361-6544/ac355bopenalex-snapshot
Spectral stability of pattern-forming fronts in the complex Ginzburg–Landau equation with a quenching mechanism
inferred← citeshttps://doi.org/10.1098/rspa.2024.0935openalex-snapshot
Turing patterns under hybrid apical–uniform domain growth
inferred← citeshttps://doi.org/10.1098/rsta.2020.0269openalex-snapshot
Insights from chemical systems into Turing-type morphogenesis
inferred← citeshttps://doi.org/10.1098/rsta.2020.0272openalex-snapshot
Turing pattern design principles and their robustness
inferred← citeshttps://doi.org/10.1101/2024.09.09.611947openalex-snapshot
Effects of multistability, absorbing boundaries and growth on Turing pattern formation
inferred← citeshttps://doi.org/10.1109/tpami.2022.3197276openalex-snapshot
Complex Network Evolution Model Based on Turing Pattern Dynamics
inferred← citeshttps://doi.org/10.1371/journal.pcbi.1011882openalex-snapshot
A mathematical framework for understanding the spontaneous emergence of complexity applicable to growing multicellular systems
inferred← citeshttps://doi.org/10.1371/journal.pcbi.1013802openalex-snapshot
A computational framework to study EGFR signaling distribution in egg chambers during dynamic interactions between soma and germline
inferred← citeshttps://doi.org/10.3103/s0027131421010041openalex-snapshot
Calculation and Properties of the Correlation Dimension of Alkanes Based on Molecular Scattering Curves
inferred← citeshttps://doi.org/10.3389/fphy.2022.927152openalex-snapshot
Transient Turing patterns in a morphogenetic model
inferred← citeshttps://doi.org/10.48550/arxiv.1912.03557openalex-snapshot
Growth Mode Selection of Radially Growing Turing Patterns
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