Spatial pattern formation in chemical and biological systems

No abstract is available for this paper.

• Publication year

  1997

• Venue

  Journal of the Chemical Society, Faraday Transactions

• Publication date

  Unknown publication date

• Fields of study

  Biology, Chemistry

• Identifiers
  DOI 10.1039/A702602A
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• On a Model Mechanism for the Spatial Patterning of Teeth Primordia in the Alligator

  1996cited by this paper
• Computer simulation of Turing structures in the chlorite-iodide-malonic acid system

  1996cited by this paper
• Breathing Spots in a Reaction-Diffusion System.

  1996cited by this paper
• Turing patterns in fish skin?

  1996cited by this paper
• A reaction–diffusion wave on the skin of the marine angelfish Pomacanthus

  1995cited by this paper
• Turing-like spatial patterns in a polyacrylamide-methylene blue-sulfide-oxygen system

  1995cited by this paper
• Lamellar structures and self-replicating spots in a reaction-diffusion system.

  1995cited by this paper
• Chemical Chaos

  1995cited by this paper
• Dependence of Turing pattern wavelength on diffusion rate

  1995cited by this paper
• Pattern formation in chemical systems

  1995cited by this paper
• Dynamics of self-replicating patterns in reaction diffusion systems.

  1994cited by this paper
• Pattern formation in generalized Turing systems

  1994cited by this paper
• Pattern formation in the presence of symmetries.

  1994cited by this paper
• Complex Patterns in a Simple System

  1993cited by this paper
• One-dimensional "spirals": Novel asynchronous chemical wave sources.

  1993cited by this paper
• Pattern Formation by Interacting Chemical Fronts

  1993cited by this paper
• TURING STRUCTURES IN SIMPLE CHEMICAL REACTIONS

  1993cited by this paper
• Spatial bistability of two-dimensional turing patterns in a reaction-diffusion system

  1992cited by this paper
• Numerical studies of Turing patterns selection in a two-dimensional system

  1992cited by this paper
• Turing Patterns in Confined Gel and Gel-Free Media

  1992cited by this paper
• Conventional and unconventional Turing patterns

  1992cited by this paper
• Stripe selection: An intrinsic property of some pattern‐forming models with nonlinear dynamics

  1992cited by this paper
• Effect of Turing pattern indicators on CIMA oscillators

  1992cited by this paper
• Spatial structures in an oregonator model with diffusion in two dimensions

  1992cited by this paper
• Bifurcating spatially heterogeneous solutions in a chemotaxis model for biological pattern generation.

  1991cited by this paper
• Transition from a uniform state to hexagonal and striped Turing patterns

  1991cited by this paper
• Retinoic acid modulates gap junctional permeability: a comparative study of dye spreading and ionic coupling in cultured cells.

  1991cited by this paper
• Pigmentation pattern formation on snakes.

  1991cited by this paper
• Modeling of Turing Structures in the Chlorite—Iodide—Malonic Acid—Starch Reaction System

  1991cited by this paper
• A gradient of gap junctional communication along the anterior-posterior axis of the developing chick limb bud.

  1991cited by this paper
• Cellular mechanisms of pattern formation in the developing limb.

  1991cited by this paper
• Simplification of a mechanism of the methylene blue hydrosulfide-oxygen CSTR oscillator: a homogeneous oscillatory mechanism with nonlinearities but no autocatalysis

  1991cited by this paper
• Turing-type chemical patterns in the chlorite-iodide-malonic acid reaction

  1991cited by this paper
• Modeling the Drosophila pair-rule pattern by reaction-diffusion: gap input and pattern control in a 4-morphogen system.

  1990cited by this paper
• Systematic design of chemical oscillators. Part 65. Batch oscillation in the reaction of chlorine dioxide with iodine and malonic acid

  1990cited by this paper
• Development of the dentition in Alligator mississippiensis: upper jaw dental and craniofacial development in embryos, hatchlings, and young juveniles, with a comparison to lower jaw development.

  1990cited by this paper
• Simple model for the oscillatory iodate oxidation of sulfite and ferrocyanide

  1990cited by this paper
• Experimental and modeling study of oscillations in the chlorine dioxide-iodine-malonic acid reaction

  1990cited by this paper
• Experimental evidence of a sustained standing Turing-type nonequilibrium chemical pattern.

  1990cited by this paper
• Double anterior chick limb buds and models for cartilage rudiment specification.

  1990cited by this paper
• Turing instabilities with nearly equal diffusion coefficients

  1989cited by this paper
• Wavelike isomorphic prepatterns in development.

  1989cited by this paper
• The methylene blue-sulfide (HS-)-oxygen oscillator: mechanistic proposal and periodic perturbation

  1989cited by this paper
• The planforms and onset of convection with a temperature-dependent viscosity

  1988cited by this paper
• How the Leopard Gets Its Spots.

  1988cited by this paper
• Systematic design of chemical oscillators. 40. A mechanism for dynamical behavior in the Landolt reaction with ferrocyanide

  1987cited by this paper
• Identification and spatial distribution of retinoids in the developing chick limb bud

  1987cited by this paper
• The Structure of the Core of the Spiral Wave in the Belousov-Zhabotinskii Reaction

  1985cited by this paper
• A model for chondrogenic condensations in the developing limb: the role of extracellular matrix and cell tractions.

  1985cited by this paper
• Sustained oscillations and other exotic patterns of behavior in isothermal reactions

  1985cited by this paper
• Oscillations and Traveling Waves in Chemical Systems

  1985cited by this paper
• Cell traction models for generating pattern and form in morphogenesis

  1984cited by this paper
• A new chemical oscillator containing neither metal nor oxyhalogen ions

  1984cited by this paper
• Self-Organization Autowaves and Structures Far from Equilibrium

  1984cited by this paper
• Modeling Dynamic Phenomena in Molecular and Cellular Biology

  1984cited by this paper
• Autocatalytic reactions in the isothermal, continuous stirred tank reactor: Oscillations and instabilities in the system A + 2B → 3B; B → C

  1984cited by this paper
• Formation of dissipative structures in galaxies

  1984cited by this paper
• Mechanical aspects of mesenchymal morphogenesis.

  1983cited by this paper
• Three-dimensional chemical waves in the Belousov–Zhabotinskii reaction

  1983cited by this paper
• Autocatalytic reactions in the isothermal, continuous stirred tank reactor: Isolas and other forms of multistability

  1983cited by this paper
• Systematic design of chemical oscillators. Part 8. Batch oscillations and spatial wave patterns in chlorite oscillating systems

  1982cited by this paper
• Models of biological pattern formation

  1982cited by this paper
• A Pre-pattern formation mechanism for animal coat markings

  1981cited by this paper
• Pattern formation by reaction-diffusion instabilities: application to morphogenesis in Drosophila.

  1980cited by this paper
• Simple chemical reaction systems with limit cycle behaviour.

  1979cited by this paper
• Control of sequential compartment formation in Drosophila.

  1978cited by this paper
• Self-Organization in nonequilibrium systems

  1977cited by this paper
• Analysis and control of immobilized enzyme systems : Edited by D. Thomas and J.-P. Kernevez North-Holland/American Elsevier; Amsterdam, New York, 1976 viii + 306 pages. Dfl. 70.00, $ 27.50

  1977cited by this paper
• How well does Turing's theory of morphogenesis work?

  1974cited by this paper
• Oscillations in chemical systems. IV. Limit cycle behavior in a model of a real chemical reaction

  1974cited by this paper
• Scroll-Shaped Waves of Chemical Activity in Three Dimensions

  1973cited by this paper
• Spiral Waves of Chemical Activity

  1972cited by this paper
• Oscillations in chemical systems. II. Thorough analysis of temporal oscillation in the bromate-cerium-malonic acid system

  1972cited by this paper
• Dissipative structure: an explanation and an ecological example.

  1972cited by this paper
• Concentration Wave Propagation in Two-dimensional Liquid-phase Self-oscillating System

  1970cited by this paper
• Kybernetik

  1964cited by this paper
• Mathematical Models of Biology

  year unknowncited by this paper

• Turing-Hopf interactions and climate-mediated pattern formation and species extinction in spatial predator–prey systems

  2026cites this paper
• Exploring the spatio-temporal dynamics in activator-inhibitor systems through a dual approach of analysis and computation.

  2025cites this paper
• The effects of tritiated water on competitive outcomes of two Daphnia species in lakes: A reaction-diffusion tritium-taxis model.

  2025cites this paper
• Structural selection rules in self-assembly and self-organization: role of entropy production rate

  2025cites this paper
• Pattern formation from equivariant Turing bifurcations in reaction–diffusion systems on a square domain

  2025cites this paper
• Global Analysis of the Gray-Scott Model with Fractional-Classical Diffusion

  2025cites this paper
• Patterns in soil organic carbon dynamics: Integrating microbial activity, chemotaxis and data-driven approaches

  2025cites this paper
• Transient Instability and Patterns of Reactivity in Diffusive-Chemotaxis Soil Carbon Dynamics

  2025cites this paper
• Turing patterns under hybrid apical–uniform domain growth

  2025cites this paper
• Fast high-order spectral solvers for PDEs on triangulated surfaces with applications to deforming surfaces

  2025cites this paper
• Spatial dynamics and pattern formation in fragmented habitats: A study using a diffusive Bazykin model with Allee effect

  2025cites this paper
• Heteroclinic connections in a hyperbolic reaction-transport model for excitable media

  2025cites this paper
• Pattern formation arising from diffusive instability under random versus directed spatial motion

  2025cites this paper
• Multiscale geometrical and topological learning in the analysis of soft matter collective dynamics

  2025cites this paper
• New challenges in spatial ecology

  2025cites this paper
• Parametric excitations in a harmonically trapped binary Bose-Einstein condensate

  2025cites this paper
• Spatiotemporal flow-induced instability of predator-prey model with Crowley-Martin functional response and prey harvesting.

  2024cites this paper
• Regulating spatiotemporal dynamics for a delay Gierer–Meinhardt model

  2024cites this paper
• Pattern formation from gauge/gravity duality

  2024cites this paper
• Evolution of Cooperation in Spatio-Temporal Evolutionary Games with Public Goods Feedback

  2024cites this paper
• On pattern formation in the thermodynamically-consistent variational Gray-Scott model

  2024cites this paper
• Self-enhanced mobility enables vortex pattern formation in living matter

  2024cites this paper
• Noise-induced nonreciprocal topological dissipative solitons in directionally coupled chains and lattices

  2024cites this paper
• Generation of patterns and higher harmonics in 1D quantum droplets in tilted and driven quasi-periodic confinements

  2024cites this paper
• Pattern formation on regular polygons and circles

  2024cites this paper
• Emergence of rogue-like waves in a reaction-diffusion system: Stochastic output from deterministic dissipative dynamics.

  2024cites this paper
• Simple Games on Complex Networks

  2024cites this paper
• Solution landscape of reaction-diffusion systems reveals a nonlinear mechanism and spatial robustness of pattern formation.

  2024cites this paper
• Formation of turing patterns in strongly magnetized electric discharges

  2023cites this paper
• TERMODINÁMICA DE LOS PROCESOS IRREVERSIBLES DE UN METABOLISMO

  2023cites this paper
• Symmetry-breaking bifurcations for compartmental reaction kinetics coupled by two bulk diffusing species with comparable diffusivities in 2-D

  2023cites this paper
• Spot-Ladder Selection of Dislocation Patterns in Metal Fatigue

  2023cites this paper
• Linking discrete and continuous models of cell birth and migration

  2023cites this paper
• Dynamic characteristics of a hyperbolic reaction–diffusion predator–prey system with self‐diffusion and nonidentical inertia

  2023cites this paper
• Numerical Bifurcation Analysis of Turing and Symmetry Broken Patterns of a Vegetation PDE Model

  2023cites this paper
• Spatiotemporal Dynamics of Reaction–Diffusion System and Its Application to Turing Pattern Formation in a Gray–Scott Model

  2023cites this paper
• Cooperative optical pattern formation in an ultrathin atomic layer.

  2023cites this paper
• Self-organization of primitive metabolic cycles due to non-reciprocal interactions

  2023cites this paper
• The emergence of spatial patterns for compartmental reaction kinetics coupled by two bulk diffusing species with comparable diffusivities

  2023cites this paper
• Observation of Pattern Stabilization in a Driven Superfluid

  2023cites this paper
• Diffusive pattern formations in three-species nonlinear dynamics of cancer

  2023cites this paper
• Modification of Turing patterns through the use of time-varying anisotropic diffusion

  2023cites this paper
• Coarsening and wavelength selection far from equilibrium: A unifying framework based on singular perturbation theory.

  2022cites this paper
• Coexistence of rod-like and lamellar eutectic growth patterns

  2022cites this paper
• Reaction-Diffusion Algorithm for Quantitative Analysis of Periodic V-Shaped Bundles of Hair Cells in the Inner Ear

  2022influential citation
• Turing instability and pattern formation on directed networks

  2022cites this paper
• Turing and wave instabilities in hyperbolic reaction–diffusion systems: The role of second-order time derivatives and cross-diffusion terms on pattern formation

  2022cites this paper
• Deciphering electric field induced spatial pattern formation in the photosensitive chlorine-dioxide iodine malonic acid reaction and the Brusselator reaction-diffusion systems.

  2022cites this paper
• Stability Switches and Chaos in a Diffusive Toxic Phytoplankton-Zooplankton Model with Delay

  2022cites this paper
• Design of Turing Systems with Physics-Informed Neural Networks

  2022cites this paper
• Turing–Hopf bifurcation co-induced by cross-diffusion and delay in Schnakenberg system

  2022cites this paper
• Turing Instabilities and Rotating Spiral Waves in Glycolytic Processes

  2022cites this paper
• Image analysis for patterns in solutions of reaction-diffusion equations

  2022cites this paper
• Instability mechanisms of repelling peak solutions in a multi-variable activator-inhibitor system.

  2022cites this paper
• CBMS Conference: Interface of Mathematical Biology and Linear Algebra List of Projects

  2022cites this paper
• Chemistry-Inspired Pattern Formation With Robotic Swarms

  2022cites this paper
• A Hybrid Discrete–Continuum Modelling Approach to Explore the Impact of T-Cell Infiltration on Anti-tumour Immune Response

  2022cites this paper
• Diffusive instability in hyperbolic reaction-diffusion equation with different inertia.

  2022cites this paper
• Pattern formation from spatially heterogeneous reaction–diffusion systems

  2021cites this paper
• Pattern Formation in a RD-MCNN with Locally Active Memristors

  2021cites this paper
• Minimum number of non-zero-entries in a stable matrix exhibiting Turing instability

  2021cites this paper
• De novo Design of Chemical Reaction Networks and Oscillators and Their Relation to Emergent Properties

  2021cites this paper
• Dynamics of pattern formation process in fractional-order super-diffusive processes: a computational approach

  2021cites this paper
• Turing instability and pattern formations for reaction-diffusion systems on 2D bounded domain

  2021cites this paper
• Spontaneous Formation of Star-Shaped Surface Patterns in a Driven Bose-Einstein Condensate.

  2021cites this paper
• Bifurcations in Twinkling Patterns for the Lengyel-Epstein Reaction-Diffusion Model

  2021cites this paper
• A theory of pattern formation for reaction–diffusion systems on temporal networks

  2021cites this paper
• Stationary and oscillatory localized patterns in ratio-dependent predator–prey systems

  2021cites this paper
• Boundedness and stabilization enforced by mild saturation of taxis in a producer–scrounger model

  2021cites this paper
• Compositional patterning in irradiated alloys: Effective potentials and effective interfacial energy

  2021cites this paper
• Effect of Spatial Average on the Spatiotemporal Pattern Formation of Reaction-Diffusion Systems

  2020cites this paper
• Why a Large-Scale Mode Can Be Essential for Understanding Intracellular Actin Waves

  2020cites this paper
• Data-driven prediction of multistable systems from sparse measurements.

  2020cites this paper
• Influence of temperature on Turing pattern formation

  2020cites this paper
• Control and synchronization in nonlinear circuits by using a thermistor

  2020cites this paper
• Turing and BenjaminFeir instability mechanisms in non-autonomous systems

  2020cites this paper
• A hybrid discrete-continuum approach to model Turing pattern formation.

  2020cites this paper
• Double Hopf bifurcation in nonlocal reaction-diffusion systems with spatial average kernel

  2020cites this paper
• Analysis of Bogdanov–Takens bifurcations in a spatiotemporal harvested-predator and prey system with Beddington–DeAngelis-type response function

  2020cites this paper
• Statistical approach for parameter identification by Turing patterns.

  2020cites this paper
• Spatio-temporal dynamics of a reaction-diffusion equation with the nonlocal spatial average and delay

  2020cites this paper
• STATISTICAL PARAMETER IDENTIFICATION OF REACTION-DIFFUSION SYSTEMS BY TURING PATTERNS

  2020cites this paper
• Turing and Benjamin–Feir instability mechanisms in non-autonomous systems

  2020cites this paper
• Mechanical Models of Pattern and Form in Biological Tissues: The Role of Stress–Strain Constitutive Equations

  2020influential citation
• Analysis of Bogdanov–Takens bifurcations in a spatiotemporal harvested-predator and prey system with Beddington–DeAngelis-type response function

  2020cites this paper
• Multi-spike Patterns in the Gierer–Meinhardt System with a Nonzero Activator Boundary Flux

  2020cites this paper
• Multiplicity, travelling waves and spatial patterns in coupled autocatalytic reaction systems

  2020cites this paper
• Stripes on finite domains: Why the zigzag instability is only a partial story.

  2020cites this paper
• Analysis of Spot Patterns on a Coordinate-Invariant Model for Vegetation on a Curved Terrain

  2020cites this paper
• Analysis of Self-Organized Patterned Surface Oxide Spots on Ejected Spatter Produced during Laser Powder Bed Fusion

  2020cites this paper
• Formulation of the normal form of Turing-Hopf bifurcation in partial functional differential equations

  2020cites this paper
• Dynamical Analysis of a Beddington–DeAngelis Interacting Species System with Prey Harvesting

  2020cites this paper
• A computational study of amoeboid motility in 3D: the role of extracellular matrix geometry, cell deformability, and cell–matrix adhesion

  2020cites this paper
• Influence of temperature on Turing pattern formation

  2020cites this paper
• Turing patterns modulation by chemical gradient in isothermal and non-isothermal conditions.

  2020cites this paper
• A Synthetic Biology Approach to Sequential Stripe Patterning and Somitogenesis

  2019cites this paper
• Unraveling the diverse nature of electric field induced spatial pattern formation in Gray-Scott model.

  2019cites this paper
• Coevolution of agent’s behavior and noise parameters in majority vote game on multilayer networks

  2019cites this paper
• Emergent spatiotemporal instabilities in reactive spatially extended systems by thermodiffusion.

  2019cites this paper
• Moran Model of Spatial Alignment in Microbial Colonies.

  2019cites this paper