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周期性强迫进料下 Turing 模式的出现与抑制

Appearance and suppression of Turing patterns under a periodically forced feed.

作者信息

Dúzs Brigitta, Holló Gábor, Kitahata Hiroyuki, Ginder Elliott, Suematsu Nobuhiko J, Lagzi István, Szalai István

机构信息

Laboratory of Nonlinear Chemical Dynamics, Institute of Chemistry, Eötvös Loránd University, Pázmány Péter stny. 1/A, H-1117, Budapest, Hungary.

University of Mainz, Duesbergweg 10-14, 55128, Mainz, Germany.

出版信息

Commun Chem. 2023 Jan 3;6(1):3. doi: 10.1038/s42004-022-00800-6.

DOI:10.1038/s42004-022-00800-6
PMID:36697882
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC9814632/
Abstract

Turing instability is a general and straightforward mechanism of pattern formation in reaction-diffusion systems, and its relevance has been demonstrated in different biological phenomena. Still, there are many open questions, especially on the robustness of the Turing mechanism. Robust patterns must survive some variation in the environmental conditions. Experiments on pattern formation using chemical systems have shown many reaction-diffusion patterns and serve as relatively simple test tools to study general aspects of these phenomena. Here, we present a study of sinusoidal variation of the input feed concentrations on chemical Turing patterns. Our experimental, numerical and theoretical analysis demonstrates that patterns may appear even at significant amplitude variation of the input feed concentrations. Furthermore, using time-dependent feeding opens a way to control pattern formation. The patterns settled at constant feed may disappear, or new patterns may appear from a homogeneous steady state due to the periodic forcing.

摘要

图灵失稳是反应扩散系统中一种普遍且直接的图案形成机制,其相关性已在不同生物现象中得到证实。然而,仍存在许多悬而未决的问题,尤其是关于图灵机制的稳健性。稳健的图案必须在环境条件的某些变化下仍能存在。使用化学系统进行的图案形成实验已展示出许多反应扩散图案,并作为研究这些现象一般方面的相对简单的测试工具。在此,我们展示了一项关于输入进料浓度的正弦变化对化学图灵图案影响的研究。我们的实验、数值和理论分析表明,即使输入进料浓度有显著的幅度变化,图案仍可能出现。此外,采用随时间变化的进料为控制图案形成开辟了一条途径。在恒定进料下形成的图案可能会消失,或者由于周期性强迫,新的图案可能从均匀稳态中出现。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/49df/9814632/9f5b51bc4535/42004_2022_800_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/49df/9814632/83fe84e565d2/42004_2022_800_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/49df/9814632/36294f5ccb94/42004_2022_800_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/49df/9814632/ceb3c042eb2b/42004_2022_800_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/49df/9814632/dc59851fa3d4/42004_2022_800_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/49df/9814632/9f5b51bc4535/42004_2022_800_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/49df/9814632/83fe84e565d2/42004_2022_800_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/49df/9814632/36294f5ccb94/42004_2022_800_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/49df/9814632/ceb3c042eb2b/42004_2022_800_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/49df/9814632/dc59851fa3d4/42004_2022_800_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/49df/9814632/9f5b51bc4535/42004_2022_800_Fig5_HTML.jpg

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本文引用的文献

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Reaction-Diffusion Dynamics of pH Oscillators in Oscillatory Forced Open Spatial Reactors.振荡强制开放空间反应器中pH振荡器的反应-扩散动力学
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Insights from chemical systems into Turing-type morphogenesis.从化学系统到图灵型形态发生的见解。
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Turing pattern design principles and their robustness.图灵模式设计原则及其稳健性。
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Studies of Turing pattern formation in zebrafish skin.斑马鱼皮肤中的图灵模式形成研究。
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Designing Stationary Reaction-Diffusion Patterns in pH Self-Activated Systems.在pH自激活系统中设计固定的反应扩散模式
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