Chaotic waves serve as universal pattern generators
Excitable media are prevalent models for describing physical, chemical, and biological systems which support wave propagation. In this letter, we show that the time evolution of the medium state at the wave fronts can be determined by complicated chaotic attractors. Wave front dynamics can be contro...
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creator | Vakulenko, Sergey A Sudakow, Ivan Reinitz, John Grigoriev, Dmitry |
description | Excitable media are prevalent models for describing physical, chemical, and
biological systems which support wave propagation. In this letter, we show that
the time evolution of the medium state at the wave fronts can be determined by
complicated chaotic attractors. Wave front dynamics can be controlled by
initial data choice. Building on this groundwork, we show that there is a
mechano-chemical analog of the Universal Turing machine for morphogenesis
problems. Namely, a fixed mechano-chemical system can produce any prescribed
cell pattern depending on its input (initial data). This universal mechanism
uses fundamental physical effects: spontaneous symmetry breaking with formation
of many interfaces (kinks), which interact non-locally via a fast diffusing
reagent. This interaction creates chaos. We present algorithms allowing us to
obtain a prescribed target cell pattern. |
doi_str_mv | 10.48550/arxiv.2109.01245 |
format | Article |
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biological systems which support wave propagation. In this letter, we show that
the time evolution of the medium state at the wave fronts can be determined by
complicated chaotic attractors. Wave front dynamics can be controlled by
initial data choice. Building on this groundwork, we show that there is a
mechano-chemical analog of the Universal Turing machine for morphogenesis
problems. Namely, a fixed mechano-chemical system can produce any prescribed
cell pattern depending on its input (initial data). This universal mechanism
uses fundamental physical effects: spontaneous symmetry breaking with formation
of many interfaces (kinks), which interact non-locally via a fast diffusing
reagent. This interaction creates chaos. We present algorithms allowing us to
obtain a prescribed target cell pattern.</description><identifier>DOI: 10.48550/arxiv.2109.01245</identifier><language>eng</language><subject>Physics - Chaotic Dynamics ; Quantitative Biology - Tissues and Organs</subject><creationdate>2021-09</creationdate><rights>http://creativecommons.org/licenses/by/4.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2109.01245$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2109.01245$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Vakulenko, Sergey A</creatorcontrib><creatorcontrib>Sudakow, Ivan</creatorcontrib><creatorcontrib>Reinitz, John</creatorcontrib><creatorcontrib>Grigoriev, Dmitry</creatorcontrib><title>Chaotic waves serve as universal pattern generators</title><description>Excitable media are prevalent models for describing physical, chemical, and
biological systems which support wave propagation. In this letter, we show that
the time evolution of the medium state at the wave fronts can be determined by
complicated chaotic attractors. Wave front dynamics can be controlled by
initial data choice. Building on this groundwork, we show that there is a
mechano-chemical analog of the Universal Turing machine for morphogenesis
problems. Namely, a fixed mechano-chemical system can produce any prescribed
cell pattern depending on its input (initial data). This universal mechanism
uses fundamental physical effects: spontaneous symmetry breaking with formation
of many interfaces (kinks), which interact non-locally via a fast diffusing
reagent. This interaction creates chaos. We present algorithms allowing us to
obtain a prescribed target cell pattern.</description><subject>Physics - Chaotic Dynamics</subject><subject>Quantitative Biology - Tissues and Organs</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotzrFuwjAUhWEvDBX0ATrhF0hqO752MlYRhUpIXdijG3zSRqIB2SEtb1-gnc72n0-IJ61yWxKpZ44__ZQbrapcaWPpQRT1Jx_Hfi-_eUKSCXGC5CTPQz8hJj7IE48j4iA_MCDyeIxpIWYdHxIe_3cudq-rXb3Jtu_rt_plm7HzlMFTBwvYYJXRXWXQegfSjq7XVw0QWu3NvnRtRV6xB4dA7FoKpQZRMRfLv-xd3Zxi_8Xx0tz0zV1f_AJfSj-U</recordid><startdate>20210902</startdate><enddate>20210902</enddate><creator>Vakulenko, Sergey A</creator><creator>Sudakow, Ivan</creator><creator>Reinitz, John</creator><creator>Grigoriev, Dmitry</creator><scope>ALA</scope><scope>ALC</scope><scope>GOX</scope></search><sort><creationdate>20210902</creationdate><title>Chaotic waves serve as universal pattern generators</title><author>Vakulenko, Sergey A ; Sudakow, Ivan ; Reinitz, John ; Grigoriev, Dmitry</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a675-e75fe4ee4d4021f92eb76e5165012855eedb172c86b9570a7eadd5a6b5d81e553</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Physics - Chaotic Dynamics</topic><topic>Quantitative Biology - Tissues and Organs</topic><toplevel>online_resources</toplevel><creatorcontrib>Vakulenko, Sergey A</creatorcontrib><creatorcontrib>Sudakow, Ivan</creatorcontrib><creatorcontrib>Reinitz, John</creatorcontrib><creatorcontrib>Grigoriev, Dmitry</creatorcontrib><collection>arXiv Nonlinear Science</collection><collection>arXiv Quantitative Biology</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Vakulenko, Sergey A</au><au>Sudakow, Ivan</au><au>Reinitz, John</au><au>Grigoriev, Dmitry</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Chaotic waves serve as universal pattern generators</atitle><date>2021-09-02</date><risdate>2021</risdate><abstract>Excitable media are prevalent models for describing physical, chemical, and
biological systems which support wave propagation. In this letter, we show that
the time evolution of the medium state at the wave fronts can be determined by
complicated chaotic attractors. Wave front dynamics can be controlled by
initial data choice. Building on this groundwork, we show that there is a
mechano-chemical analog of the Universal Turing machine for morphogenesis
problems. Namely, a fixed mechano-chemical system can produce any prescribed
cell pattern depending on its input (initial data). This universal mechanism
uses fundamental physical effects: spontaneous symmetry breaking with formation
of many interfaces (kinks), which interact non-locally via a fast diffusing
reagent. This interaction creates chaos. We present algorithms allowing us to
obtain a prescribed target cell pattern.</abstract><doi>10.48550/arxiv.2109.01245</doi><oa>free_for_read</oa></addata></record> |
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subjects | Physics - Chaotic Dynamics Quantitative Biology - Tissues and Organs |
title | Chaotic waves serve as universal pattern generators |
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