相关参考文献
注意:仅列出部分参考文献,下载原文获取全部文献信息。Isolating Patterns in Open Reaction-Diffusion Systems
Andrew L. Krause et al.
BULLETIN OF MATHEMATICAL BIOLOGY (2021)
From one pattern into another: analysis of Turing patterns in heterogeneous domains via WKBJ
Andrew L. Krause et al.
JOURNAL OF THE ROYAL SOCIETY INTERFACE (2020)
Topological data analysis of zebrafish patterns
Melissa R. McGuirl et al.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA (2020)
Coloured Noise from Stochastic Inflows in Reaction-Diffusion Systems
Michael F. Adamer et al.
BULLETIN OF MATHEMATICAL BIOLOGY (2020)
Statistical approach for parameter identification by Turing patterns
Alexey Kazarnikov et al.
JOURNAL OF THEORETICAL BIOLOGY (2020)
A Non-local Cross-Diffusion Model of Population Dynamics I: Emergent Spatial and Spatiotemporal Patterns
Nick P. Taylor et al.
BULLETIN OF MATHEMATICAL BIOLOGY (2020)
Perturbation analysis of a multi-morphogen Turing reaction-diffusion stripe patterning system reveals key regulatory interactions
Andrew D. Economou et al.
DEVELOPMENT (2020)
Turing and Benjamin-Feir instability mechanisms in non-autonomous systems
Robert A. Van Gorder
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2020)
Turing-Hopf patterns on growing domains: The torus and the sphere
Faustino Sanchez-Garduno et al.
JOURNAL OF THEORETICAL BIOLOGY (2019)
Extending the Mathematical Palette for Developmental Pattern Formation: Piebaldism
Michael Dougoud et al.
BULLETIN OF MATHEMATICAL BIOLOGY (2019)
Using Experimental Data and Information Criteria to Guide Model Selection for Reaction-Diffusion Problems in Mathematical Biology
David J. Warne et al.
BULLETIN OF MATHEMATICAL BIOLOGY (2019)
Self-organizing hair peg-like structures from dissociated skin progenitor cells: New insights for human hair follicle organoid engineering and Turing patterning in an asymmetric morphogenetic field
Erin L. Weber et al.
EXPERIMENTAL DERMATOLOGY (2019)
Pattern formation for a two-dimensional reaction-diffusion model with chemotaxis
Manjun Ma et al.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2019)
Diffusive instabilities and spatial patterning from the coupling of reaction-diffusion processes with Stokes flow in complex domains
Robert A. Van Gorder et al.
JOURNAL OF FLUID MECHANICS (2019)
A Comprehensive Network Atlas Reveals That Turing Patterns Are Common but Not Robust
Natalie S. Scholes et al.
CELL SYSTEMS (2019)
Influence of Curvature, Growth, and Anisotropy on the Evolution of Turing Patterns on Growing Manifolds
Andrew L. Krause et al.
BULLETIN OF MATHEMATICAL BIOLOGY (2019)
Bayesian Parameter Identification for Turing Systems on Stationary and Evolving Domains
Eduard Campillo-Funollet et al.
BULLETIN OF MATHEMATICAL BIOLOGY (2019)
Pattern formation in reaction-diffusion systems with piecewise kinetic modulation: An example study of heterogeneous kinetics
Michal Kozak et al.
PHYSICAL REVIEW E (2019)
Stochastic Turing patterns in a synthetic bacterial population
David Karig et al.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA (2018)
Polyamide membranes with nanoscale Turing structures for water purification
Zhe Tan et al.
SCIENCE (2018)
Programmed hierarchical patterning of bacterial populations
Christian R. Boehm et al.
NATURE COMMUNICATIONS (2018)
DOMAIN SIZE DRIVEN INSTABILITY: SELF-ORGANIZATION IN SYSTEMS WITH ADVECTION
Vaclav Klika et al.
SIAM JOURNAL ON APPLIED MATHEMATICS (2018)
Heterogeneity induces spatiotemporal oscillations in reaction-diffusion systems
Andrew L. Krause et al.
PHYSICAL REVIEW E (2018)
Emergent structures in reaction-advection-diffusion systems on a sphere
Andrew L. Krause et al.
PHYSICAL REVIEW E (2018)
Theory and applications of the Lugiato-Lefever Equation
Yanne K. Chembo et al.
EUROPEAN PHYSICAL JOURNAL D (2017)
History dependence and the continuum approximation breakdown: the impact of domain growth on Turing's instability
Vaclav Klika et al.
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2017)
Pattern production through a chiral chasing mechanism
Thomas E. Woolley
PHYSICAL REVIEW E (2017)
Orthogonal intercellular signaling for programmed spatial behavior
Paul K. Grant et al.
MOLECULAR SYSTEMS BIOLOGY (2016)
High-throughput mathematical analysis identifies Turing networks for patterning with equally diffusing signals
Luciano Marcon et al.
ELIFE (2016)
Selective pattern formation control: Spatial spectrum consensus and Turing instability approach
Kenji Kashima et al.
AUTOMATICA (2015)
Weakly nonlinear analysis of Turing patterns in a morphochemical model for metal growth
B. Bozzini et al.
COMPUTERS & MATHEMATICS WITH APPLICATIONS (2015)
Positional information and reaction-diffusion: two big ideas in developmental biology combine
Jeremy B. A. Green et al.
DEVELOPMENT (2015)
The inverse problem in mathematical biology
Gilles Clermont et al.
MATHEMATICAL BIOSCIENCES (2015)
Mathematical Modelling of Digit Specification by a Sonic Hedgehog Gradient
Thomas E. Woolley et al.
DEVELOPMENTAL DYNAMICS (2014)
A method to recapitulate early embryonic spatial patterning in human embryonic stem cells
Aryeh Warmflash et al.
NATURE METHODS (2014)
Turing patterns in multiplex networks
Malbor Asllani et al.
PHYSICAL REVIEW E (2014)
Dispersal-induced destabilization of metapopulations and oscillatory Turing patterns in ecological networks
Shigefumi Hata et al.
SCIENTIFIC REPORTS (2014)
pde2path-A Mat lab Package for Continuation and Bifurcation in 2D Elliptic Systems
Hannes Uecker et al.
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS (2014)
Spatially resolved magnetization in the Bose-Einstein condensed state of BaCuSi2O6: Evidence for imperfect frustration
S. Kramer et al.
PHYSICAL REVIEW B (2013)
Noise-induced temporal dynamics in Turing systems
Linus J. Schumacher et al.
PHYSICAL REVIEW E (2013)
Formation and control of Turing patterns in a coherent quantum fluid
Vincenzo Ardizzone et al.
SCIENTIFIC REPORTS (2013)
The Influence of Receptor-Mediated Interactions on Reaction-Diffusion Mechanisms of Cellular Self-organisation
Vaclav Klika et al.
BULLETIN OF MATHEMATICAL BIOLOGY (2012)
Turing patterns in development: what about the horse part?
Luciano Marcon et al.
CURRENT OPINION IN GENETICS & DEVELOPMENT (2012)
Effects of intrinsic stochasticity on delayed reaction-diffusion patterning systems
Thomas E. Woolley et al.
PHYSICAL REVIEW E (2012)
Nonlinear effects on Turing patterns: Time oscillations and chaos
J. L. Aragon et al.
PHYSICAL REVIEW E (2012)
Turing's model for biological pattern formation and the robustness problem
Philip K. Maini et al.
INTERFACE FOCUS (2012)
Interactions between Shh, Sostdc1 and Wnt signaling and a new feedback loop for spatial patterning of the teeth
Sung-Won Cho et al.
DEVELOPMENT (2011)
Stochastic reaction and diffusion on growing domains: Understanding the breakdown of robust pattern formation
Thomas E. Woolley et al.
PHYSICAL REVIEW E (2011)
Parameter estimation and inference for stochastic reaction-diffusion systems: application to morphogenesis in D. melanogaster
Michael A. Dewar et al.
BMC SYSTEMS BIOLOGY (2010)
An efficient and robust numerical algorithm for estimating parameters in Turing systems
Marcus R. Garvie et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2010)
Stability analysis of non-autonomous reaction-diffusion systems: the effects of growing domains
Anotida Madzvamuse et al.
JOURNAL OF MATHEMATICAL BIOLOGY (2010)
Turing patterns in network-organized activator-inhibitor systems
Hiroya Nakao et al.
NATURE PHYSICS (2010)
Analysis of stationary droplets in a generic Turing reaction-diffusion system
Thomas E. Woolley et al.
PHYSICAL REVIEW E (2010)
Stochastic Turing patterns in the Brusselator model
Tommaso Biancalani et al.
PHYSICAL REVIEW E (2010)
Reaction-Diffusion Model as a Framework for Understanding Biological Pattern Formation
Shigeru Kondo et al.
SCIENCE (2010)
Formation and control of Turing patterns and phase fronts in photonics and chemistry
Gian-Luca Oppo
JOURNAL OF MATHEMATICAL CHEMISTRY (2009)
Spatial dynamics of ecological public goods
Joe Yuichiro Wakano et al.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA (2009)
The Intersection of Theory and Application in Elucidating Pattern Formation in Developmental Biology
H. G. Othmer et al.
MATHEMATICAL MODELLING OF NATURAL PHENOMENA (2009)
Conservation laws and unidentifiability of rate expressions in biochemical models
M. Anguelova et al.
IET SYSTEMS BIOLOGY (2007)
Two-stage Turing model for generating pigment patterns on the leopard and the jaguar
R. T. Liu et al.
PHYSICAL REVIEW E (2006)
Control of Turing pattern formation by delayed feedback
QS Li et al.
PHYSICAL REVIEW E (2004)
Turing instabilities and pattern formation in a benthic nutrient-microorganism system
M Baurmann et al.
MATHEMATICAL BIOSCIENCES AND ENGINEERING (2004)
Origin of honeycombs and related weathering forms in Oligocene Macigno Sandstone, Tuscan coast near Livorno, Italy
EF Mcbride et al.
EARTH SURFACE PROCESSES AND LANDFORMS (2004)
A new dimension to Turing patterns
T Leppänen et al.
PHYSICA D-NONLINEAR PHENOMENA (2002)
Pattern formation in a tunable medium: The Belousov-Zhabotinsky reaction in an aerosol OT microemulsion
VK Vanag et al.
PHYSICAL REVIEW LETTERS (2001)
Turing instabilities in general systems
RA Satnoianu et al.
JOURNAL OF MATHEMATICAL BIOLOGY (2000)