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Pattern Formation Induced by Internal Microscopic Fluctuations
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1006/jcph.1996.0168openalex-snapshot
Stochastic Simulation of Coupled Reaction–Diffusion Processes
inferredcites →https://doi.org/10.1007/978-1-4612-1536-3openalex-snapshot
Noise in Spatially Extended Systems
inferredcites →https://doi.org/10.1007/978-3-642-46508-6_11openalex-snapshot
Noise-Induced Transitions
inferredcites →https://doi.org/10.1007/978-3-642-70196-2_23openalex-snapshot
Noise Induced Transitions
inferredcites →https://doi.org/10.1007/s100510170129openalex-snapshot
Spike autosolitons and pattern formation scenarios in the two-dimensional Gray-Scott model
inferredcites →https://doi.org/10.1016/0009-2509(84)87017-7openalex-snapshot
Autocatalytic reactions in the isothermal, continuous stirred tank reactor
inferredcites →https://doi.org/10.1016/0370-1573(95)00080-1openalex-snapshot
Lattice gas automata for reactive systems
inferredcites →https://doi.org/10.1016/0378-4754(95)00044-5openalex-snapshot
Pattern formation in the bistable Gray-Scott model
inferredcites →https://doi.org/10.1016/s0167-2789(00)00214-1openalex-snapshot
Spatio-temporal chaos for the Gray–Scott model
inferredcites →https://doi.org/10.1016/s0167-2789(96)00132-7openalex-snapshot
Turing pattern formation in heterogenous media
inferredcites →https://doi.org/10.1021/j100540a008openalex-snapshot
Exact stochastic simulation of coupled chemical reactions
inferredcites →https://doi.org/10.1021/jp061858zopenalex-snapshot
Open-System Nonequilibrium Steady State: Statistical Thermodynamics, Fluctuations, and Chemical Oscillations
inferredcites →https://doi.org/10.1021/jp961247eopenalex-snapshot
Stochastic Description of Temporal and Spatial Dynamics of Far-from-Equilibrium Reactions
inferredcites →https://doi.org/10.1038/35036035openalex-snapshot
The versatility and universality of calcium signalling
inferredcites →https://doi.org/10.1063/1.1378322openalex-snapshot
Approximate accelerated stochastic simulation of chemically reacting systems
inferredcites →https://doi.org/10.1063/1.1681974openalex-snapshot
Fluctuations and transitions at chemical instabilities: The analogy to phase transitions
inferredcites →https://doi.org/10.1063/1.1886305openalex-snapshot
Effect of noise on defect chaos in a reaction–diffusion model
inferredcites →https://doi.org/10.1063/1.1900092openalex-snapshot
Spatiotemporal patterns driven by autocatalytic internal reaction noise
inferredcites →https://doi.org/10.1063/1.472032openalex-snapshot
Particle simulation of chemical chaos
inferredcites →https://doi.org/10.1073/pnas.96.11.6060openalex-snapshot
Fire–diffuse–fire model of dynamics of intracellular calcium waves
inferredcites →https://doi.org/10.1088/0305-4470/9/9/008openalex-snapshot
Second quantization representation for classical many-particle system
inferredcites →https://doi.org/10.1093/genetics/149.4.1633openalex-snapshot
Stochastic Kinetic Analysis of Developmental Pathway Bifurcation in Phage λ-Infected Escherichia coli Cells
inferredcites →https://doi.org/10.1103/physreve.65.046206openalex-snapshot
Effect of colored noises on spatiotemporal chaos in the complex Ginzburg-Landau equation
inferredcites →https://doi.org/10.1103/physreve.67.021113openalex-snapshot
Noise-driven mechanism for pattern formation
inferredcites →https://doi.org/10.1103/physreve.73.022101openalex-snapshot
Comprehensive study of pattern formation in relaxational systems
inferredcites →https://doi.org/10.1103/physreve.73.066109openalex-snapshot
Complex noise in diffusion-limited reactions of replicating and competing species
inferredcites →https://doi.org/10.1103/physreve.74.036210openalex-snapshot
Resonant-pattern formation induced by additive noise in periodically forced reaction-diffusion systems
inferredcites →https://doi.org/10.1103/physrevlett.73.3395openalex-snapshot
Noise-Induced Nonequilibrium Phase Transition
inferredcites →https://doi.org/10.1103/physrevlett.74.2130openalex-snapshot
Spatiotemporal Stochastic Resonance in Excitable Media
inferredcites →https://doi.org/10.1103/physrevlett.76.546openalex-snapshot
Wave-Induced Chemical Chaos
inferredcites →https://doi.org/10.1103/physrevlett.78.1723openalex-snapshot
Thermal Waves, Criticality, and Self-Organization in Excitable Media
inferredcites →https://doi.org/10.1103/physrevlett.87.078302openalex-snapshot
Regular Wave Propagation Out of Noise in Chemical Active Media
inferredcites →https://doi.org/10.1103/physrevlett.88.138301openalex-snapshot
Experimental and Numerical Studies of Noise-Induced Coherent Patterns in a Subexcitable System
inferredcites →https://doi.org/10.1103/physrevlett.91.238301openalex-snapshot
Noise-Controlled Self-Replicating Patterns
inferredcites →https://doi.org/10.1103/physrevlett.93.154101openalex-snapshot
Statistics of Defect-Mediated Turbulence Influenced by Noise
inferredcites →https://doi.org/10.1111/j.1432-1033.1968.tb00175.xopenalex-snapshot
Self‐Oscillations in Glycolysis 1. A Simple Kinetic Model
inferredcites →https://doi.org/10.1126/science.1070919openalex-snapshot
Stochastic Gene Expression in a Single Cell
inferredcites →https://doi.org/10.1126/science.261.5118.189openalex-snapshot
Complex Patterns in a Simple System
inferredcites →https://doi.org/10.1152/jn.1998.79.2.1098openalex-snapshot
Noise-Induced Spiral Waves in Astrocyte Syncytia Show Evidence of Self-Organized Criticality
inferredcites →https://doi.org/10.1242/jcs.111.12.1613openalex-snapshot
Patterns of free calcium in zebrafish embryos
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1016/j.amc.2023.128079openalex-snapshot
High-fidelity simulations for Turing pattern formation in multi-dimensional Gray–Scott reaction-diffusion system
inferred← citeshttps://doi.org/10.1016/j.cnsns.2010.09.002openalex-snapshot
Numerical study of pattern formation in an extended Gray–Scott model
inferred← citeshttps://doi.org/10.1016/j.csbj.2019.10.002openalex-snapshot
Rac activation is key to cell motility and directionality: An experimental and modelling investigation
inferred← citeshttps://doi.org/10.1016/j.physa.2009.11.024openalex-snapshot
Effects of surface size on minimalistic stochastic models for the catalytic CO oxidation
inferred← citeshttps://doi.org/10.1051/meca/2020010openalex-snapshot
Implementation of a reaction-diffusion process in the Abaqus finite element software
inferred← citeshttps://doi.org/10.1063/1.3310808openalex-snapshot
Accurate implementation of leaping in space: The spatial partitioned-leaping algorithm
inferred← citeshttps://doi.org/10.1063/1.4729141openalex-snapshot
Kinetic Monte Carlo simulations of travelling pulses and spiral waves in the lattice Lotka-Volterra model
inferred← citeshttps://doi.org/10.1063/1.4922308openalex-snapshot
Fluctuating hydrodynamics of multi-species reactive mixtures
inferred← citeshttps://doi.org/10.1063/1.4978775openalex-snapshot
Stochastic simulation of reaction-diffusion systems: A fluctuating-hydrodynamics approach
inferred← citeshttps://doi.org/10.1063/5.0213660openalex-snapshot
Comparative analysis of fluctuations in viscoelastic stress: A comparison of the temporary network and dumbbell models
inferred← citeshttps://doi.org/10.1073/pnas.2309518121openalex-snapshot
Mechanism of branching morphogenesis inspired by diatom silica formation
inferred← citeshttps://doi.org/10.1088/0256-307x/24/9/013openalex-snapshot
Accelerated Stochastic Simulation of Large Chemical Systems
inferred← citeshttps://doi.org/10.1093/insilicoplants/diz009openalex-snapshot
Gillespie-Lindenmayer systems for stochastic simulation of morphogenesis
inferred← citeshttps://doi.org/10.1103/physreve.107.034213openalex-snapshot
Numerical and renormalization group analysis of the phase diagram of a stochastic cubic autocatalytic reaction-diffusion system
inferred← citeshttps://doi.org/10.1103/physreve.85.066132openalex-snapshot
Regulation of Turing patterns in a spatially extended chlorine–iodine–malonic-acid system with a local concentration-dependent diffusivity
inferred← citeshttps://doi.org/10.1103/physreve.89.062913openalex-snapshot
Stochastic resonance with a mesoscopic reaction-diffusion system
inferred← citeshttps://doi.org/10.1140/epjb/e2014-50267-1openalex-snapshot
On stochastic spatial patterns and neuronal polarity
inferred← citeshttps://doi.org/10.1186/s12976-015-0001-6openalex-snapshot
The Spatial Chemical Langevin Equation and Reaction Diffusion Master Equations: moments and qualitative solutions
inferred← citeshttps://doi.org/10.1371/journal.pone.0042508openalex-snapshot
Stochastic Simulations of Pattern Formation in Excitable Media
inferred← citeshttps://doi.org/10.3929/ethz-b-000682077openalex-snapshot
Comparative analysis of fluctuations in viscoelastic stress: A comparison of the temporary network and dumbbell models
inferred← citeshttps://doi.org/10.70675/efe4ac82z4389z494aza9b8z7e7f00f5a0acopenalex-snapshot
An asymmetric Ising model for spatial gene regulation
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