4.6 Article

Appearance and suppression of Turing patterns under a periodically forced feed

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。
Review Multidisciplinary Sciences

Turing pattern design principles and their robustness

Sean T. Vittadello et al.

Summary: Turing patterns have evolved from mathematical curiosities to highly desirable targets for synthetic biology. Despite previous disputes over their biological significance, ample evidence now supports their involvement in various biological processes. While their role in developmental biology is firmly established, the synthesis of Turing patterns remains challenging.

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2021)

Review Multidisciplinary Sciences

Studies of Turing pattern formation in zebrafish skin

Shigeru Kondo et al.

Summary: Skin patterns are the first example of Turing patterns in living organisms, with research revealing principles of pattern formation at molecular and cellular levels. Contrary to classical reaction-diffusion models, real skin patterns are established by autonomous migration and proliferation of pigment cells mediated through direct cell-cell interactions. Various studies are underway to adapt mathematical models to experimental findings in skin pattern research for potential applications in other autonomous pattern formation phenomena.

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2021)

Review Multidisciplinary Sciences

Insights from chemical systems into Turing-type morphogenesis

C. Konow et al.

Summary: In 1952, Alan Turing proposed a theory demonstrating how morphogenesis could occur from a simple two morphogen reaction-diffusion system. Chemistry has played a significant role in the study of Turing-type morphogenesis, providing reproducible experimental methods to predict and study new behaviors and dynamics in reaction-diffusion systems.

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2021)

Article Chemistry, Multidisciplinary

Reaction-Diffusion Dynamics of pH Oscillators in Oscillatory Forced Open Spatial Reactors

Brigitta Duzs et al.

Summary: Studying the effects of coupling and forcing of oscillators is a significant and interesting area within nonlinear dynamics. This paper explores the impact of time-periodic boundary conditions on open reactors in reaction-diffusion systems, using numerical simulations. The results suggest that this approach may open new perspectives for controlling and designing spatiotemporal phenomena in open reactors.

ACS OMEGA (2021)

Article Multidisciplinary Sciences

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)

Article Multidisciplinary Sciences

Influence of temperature on Turing pattern formation

Robert A. Van Gorder

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2020)

Review Chemistry, Multidisciplinary

Designing Stationary Reaction-Diffusion Patterns in pH Self-Activated Systems

Judit Horvath et al.

ACCOUNTS OF CHEMICAL RESEARCH (2018)

Article Developmental Biology

Positional information and reaction-diffusion: two big ideas in developmental biology combine

Jeremy B. A. Green et al.

DEVELOPMENT (2015)

Article Cell Biology

Turing patterns in development: what about the horse part?

Luciano Marcon et al.

CURRENT OPINION IN GENETICS & DEVELOPMENT (2012)

Article Genetics & Heredity

Periodic stripe formation by a Turing mechanism operating at growth zones in the mammalian palate

Andrew D. Economou et al.

NATURE GENETICS (2012)

Article Biology

Why the leopard got its spots: relating pattern development to ecology in felids

William L. Allen et al.

PROCEEDINGS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES (2011)

Article Physics, Multidisciplinary

Turing patterns in network-organized activator-inhibitor systems

Hiroya Nakao et al.

NATURE PHYSICS (2010)

Review Multidisciplinary Sciences

Reaction-Diffusion Model as a Framework for Understanding Biological Pattern Formation

Shigeru Kondo et al.

SCIENCE (2010)

Article Multidisciplinary Sciences

Blending of animal colour patterns by hybridization

Seita Miyazawa et al.

NATURE COMMUNICATIONS (2010)

Article Multidisciplinary Sciences

Interactions between zebrafish pigment cells responsible for the generation of Turing patterns

Akiko Nakamasu et al.

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA (2009)

Article Multidisciplinary Sciences

An Experimental Design Method Leading to Chemical Turing Patterns

Judit Horvath et al.

SCIENCE (2009)

Article Multidisciplinary Sciences

Cyclic dermal BMP signalling regulates stem cell activation during hair regeneration

Maksim V. Plikus et al.

NATURE (2008)

Article Multidisciplinary Sciences

WNT and DKK determine hair follicle spacing through a reaction-diffusion mechanism

Stefanie Sick et al.

SCIENCE (2006)

Article Mathematics, Applied

Turing patterns beyond hexagons and stripes

Lingfa Yang et al.

Article Physics, Fluids & Plasmas

Two-stage Turing model for generating pigment patterns on the leopard and the jaguar

R. T. Liu et al.

PHYSICAL REVIEW E (2006)

Article Physics, Fluids & Plasmas

Turing instability controlled by spatiotemporal imposed dynamics -: art. no. 066217

DG Míguez et al.

PHYSICAL REVIEW E (2005)

Article Physics, Multidisciplinary

Dynamics of turing patterns under spatiotemporal forcing -: art. no. 128301

S Rüdiger et al.

PHYSICAL REVIEW LETTERS (2003)

Review Mathematics, Interdisciplinary Applications

Diffusive instabilities and chemical reactions

P Borckmans et al.

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS (2002)

Article Chemistry, Physical

Controlled pattern formation in the CDIMA reaction with a moving boundary of illumination

M Kaen et al.

PHYSICAL CHEMISTRY CHEMICAL PHYSICS (2002)

Article Physics, Multidisciplinary

Spatial periodic forcing of Turing structures

M Dolnik et al.

PHYSICAL REVIEW LETTERS (2001)

Article Physics, Fluids & Plasmas

Resonant suppression of Turing patterns by periodic illumination

M Dolnik et al.

PHYSICAL REVIEW E (2001)