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Pattern formation in generalized Turing systems
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Outgoing claims: the papers this work cites, builds on, or argues with.
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Experimental and Theoretical Advances in Biological Pattern Formation
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Pattern Formation in Heterogeneous Domains
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Control of Gap Junction Permeability can Control Pattern Formation in Limb Development
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Dynamics of Synergetic Systems
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Synchronized and Differentiated Modes of Cellular Dynamics
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Modelling of Chemical Reaction Systems
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The Interaction of Structure and Dynamics in Chemical Reaction Networks
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The effects of cell density and metabolite flux on cellular dynamics
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Spatial patterns in coupled biochemical oscillators
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Size adaptation of turing prepatterns
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Pattern regulation in reaction-diffusion systems-the problem of size invariance
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Diffusion driven instability in an inhomogeneous domain
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Regeneration of the segment boundary in Oncopeltus
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Retinoic acid modulates gap junctional permeability: A comparative study of dye spreading and ionic coupling in cultured cells
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The regulatory capacity of Turing's model for morphogenesis, with application to slime moulds
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New systems for pattern formation studies
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Positional Information and Pattern Formation
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Spatial harmonics and pattern specification in early Drosophila development. Part I. Bifurcation sequences and gene expression
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Positional information and the spatial pattern of cellular differentiation
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Chapter 6 Positional Information and Pattern Formation
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Interactions of Reaction and Diffusion in Open Systems
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Transition from a uniform state to hexagonal and striped Turing patterns
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Turing instabilities with nearly equal diffusion coefficients
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Scale-invariance in reaction-diffusion models of spatial pattern formation.
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A chemical approach to designing Turing patterns in reaction-diffusion systems.
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The chemical basis of morphogenesis
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Experimental evidence of a sustained standing Turing-type nonequilibrium chemical pattern
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Applications of a model for scale-invariant pattern formation in developing systems
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APPLICATIONS OF BIFURCATION THEORY IN THE ANALYSIS OF SPATIAL AND TEMPORAL PATTERN FORMATION
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Pattern Regulation in Epimorphic Fields
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Large Time Behavior of Solutions of Systems of Nonlinear Reaction-Diffusion Equations
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An Algorithm for Generalized Matrix Eigenvalue Problems
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Patterns and problems of development
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Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Key Features of Turing Systems are Determined Purely by Network Topology
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Influence of Boundary Conditions on Pattern Formation and Spatial Chaos in Lattice Systems
inferred← citeshttps://doi.org/10.1140/epjp/s13360-024-05543-yopenalex-snapshot
Bifurcation and pattern formation in a prey–predator model with cooperative hunting
inferred← citeshttps://doi.org/10.1142/s0218127400000323openalex-snapshot
CONTINUATION FOR NONLINEAR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS DISCRETIZED BY THE MULTIQUADRIC METHOD
inferred← citeshttps://doi.org/10.1142/s0218127421501649openalex-snapshot
Bifurcations in Twinkling Patterns for the Lengyel–Epstein Reaction–Diffusion Model
inferred← citeshttps://doi.org/10.1142/s0218127426502135openalex-snapshot
Multiscale Dynamics in a Prey–Predator Model with Allee Effect on Predators
inferred← citeshttps://doi.org/10.1142/s0218202524400025openalex-snapshot
Biological modeling with nonlocal advection–diffusion equations
inferred← citeshttps://doi.org/10.1142/s0218202599000270openalex-snapshot
MATHEMATICAL MODELLING OF MACROPHAGE DYNAMICS IN TUMOURS
inferred← citeshttps://doi.org/10.1142/s1793524519500013openalex-snapshot
A parameter uniform essentially first-order convergent numerical method for a parabolic system of singularly perturbed differential equations of reaction–diffusion type with initial and Robin boundary conditions
inferred← citeshttps://doi.org/10.1155/2014/186125openalex-snapshot
The Global Existence of Solutions in Time for a Chemotaxis Model with Two Chemicals
inferred← citeshttps://doi.org/10.11948/20190306openalex-snapshot
GLOBAL ANALYSIS OF THE SHADOW GIERER-MEINHARDT SYSTEM WITH GENERAL LINEAR BOUNDARY CONDITIONS IN A RANDOM ENVIRONMENT
inferred← citeshttps://doi.org/10.12677/aam.2019.84072openalex-snapshot
Boundedness in the Higher-Dimensional Chemotaxis-Growth System with Indirect Attractant Production
inferred← citeshttps://doi.org/10.1371/journal.pcbi.0030076openalex-snapshot
Patterns of Mesenchymal Condensation in a Multiscale, Discrete Stochastic Model
inferred← citeshttps://doi.org/10.1371/journal.pcbi.0030076.eoropenalex-snapshot
Patterns of mesenchymal condensation in a multiscale, discrete stochastic model
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A Feedback Quenched Oscillator Produces Turing Patterning with One Diffuser
inferred← citeshttps://doi.org/10.1371/journal.pone.0141434openalex-snapshot
A Model for Selection of Eyespots on Butterfly Wings
inferred← citeshttps://doi.org/10.1371/journal.pone.0153679openalex-snapshot
Turing Patterning Using Gene Circuits with Gas-Induced Degradation of Quorum Sensing Molecules
inferred← citeshttps://doi.org/10.14232/ejqtde.2024.1.30openalex-snapshot
On the existence of patterns in reaction-diffusion problems with Dirichlet boundary conditions
inferred← citeshttps://doi.org/10.1515/anona-2015-0153openalex-snapshot
Concentrating solutions for a planar elliptic problem with large nonlinear exponent and Robin boundary condition
inferred← citeshttps://doi.org/10.3389/fcell.2024.1491304openalex-snapshot
Trafficking in cancer: from gene deregulation to altered organelles and emerging biophysical properties
inferred← citeshttps://doi.org/10.3934/cpaa.2020219openalex-snapshot
Semilinear elliptic problems involving exponential critical growth in the half-space
inferred← citeshttps://doi.org/10.3934/dcdsb.2022096openalex-snapshot
Emergence of lager densities in chemotaxis system with indirect signal production and non-radial symmetry case
inferred← citeshttps://doi.org/10.4171/jems/749openalex-snapshot
Critical mass for infinite-time aggregation in a chemotaxis model with indirect signal production
inferred← citeshttps://doi.org/10.4236/am.2017.86067openalex-snapshot
Global Existence of Solutions of the Gierer-Meinhardt System with Mixed Boundary Conditions
inferred← citeshttps://doi.org/10.48550/arxiv.1212.1740openalex-snapshot
A Graph Partitioning Approach to Predict Patterns in Lateral Inhibition Systems
inferred← citeshttps://doi.org/10.48550/arxiv.1807.00945openalex-snapshot
Diffusion-Driven Instability of a fourth order system
inferred← citeshttps://doi.org/10.70675/57b59ef5z1a8ez475bz8decz4585010396c1openalex-snapshot
Reaction-diffusion equations, qualitative properties and population dynamics
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