{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,19]],"date-time":"2026-10-19T22:16:25Z","timestamp":1792448185090,"version":"4.5.0"},"reference-count":20,"publisher":"American Chemical Society (ACS)","issue":"39","license":[{"start":{"date-parts":[[2026,9,15]],"date-time":"2026-09-15T00:00:00Z","timestamp":1789430400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,9,15]],"date-time":"2026-09-15T00:00:00Z","timestamp":1789430400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2026,9,15]],"date-time":"2026-09-15T00:00:00Z","timestamp":1789430400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-045"}],"funder":[{"DOI":"10.13039\/501100009934","name":"E?tv?s Lor?nd Tudom?nyegyetem","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100009934","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2026,10,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>Chemical systems provide controllable platforms for uncovering general principles of self-organization. Phyllotactic structures are a prominent example of natural patterns, arising when radial growth is coupled to spot formation with an intrinsic spatial wavelength. Although Turing reaction\u2013diffusion models can generate phyllotactic patterns, this connection has not been demonstrated experimentally in an established chemical Turing system. Here we show that a propagating front in the chlorine dioxide\u2013iodine\u2013malonic acid reaction converts front-localized spot formation into phyllotactic organization. A planar front produces staggered, locally hexagonal rows, whereas curved fronts organize successive rows into paired, quasi-symmetric parastichy families. The experiments reveal two geometry-dependent subtypes: a radius-scaling form during radial expansion and a wavelength-preserving form during radial contraction. Expansion maintains near-half-wavelength row offsets; contraction produces more variable, frequently smaller offsets. These results establish an experimental link between chemical Turing pattern formation and phyllotaxis.<\/jats:p>","DOI":"10.1021\/acs.jpclett.6c02604","type":"journal-article","created":{"date-parts":[[2026,9,16]],"date-time":"2026-09-16T00:01:46Z","timestamp":1789516906000},"page":"11279-11285","source":"Crossref","is-referenced-by-count":1,"title":["Curved Reaction\u2013Diffusion\nFronts Generate Quasi-Symmetric\nPhyllotaxis in a Chemical Turing System"],"prefix":"10.1021","volume":"17","author":[{"given":"Panna","family":"Farkas","sequence":"first","affiliation":[{"name":"Eo\u0308tvo\u0308s Lora\u0301nd University , , Pa\u0301zma\u0301ny Pe\u0301ter se\u0301ta\u0301ny 1\/A , ,","place":["Budapest, Hungary, 1117"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1859-1043","authenticated-orcid":true,"given":"Istva\u0301n","family":"Szalai","sequence":"additional","affiliation":[{"name":"Eo\u0308tvo\u0308s Lora\u0301nd University , , Pa\u0301zma\u0301ny Pe\u0301ter se\u0301ta\u0301ny 1\/A , ,","place":["Budapest, Hungary, 1117"]}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"316","published-online":{"date-parts":[[2026,9,15]]},"reference":[{"key":"2026100109075369300_cit1","doi-asserted-by":"publisher","first-page":"777","DOI":"10.1126\/science.201.4358.777","article-title":"Time, structure,\nand fluctuations","volume":"201","author":"Prigogine","year":"1978","journal-title":"Science"},{"key":"2026100109075369300_cit2","doi-asserted-by":"publisher","first-page":"13132","DOI":"10.1021\/jp953547m","article-title":"Nonlinear\nchemical dynamics: oscillations, patterns,\nand chaos","volume":"100","author":"Epstein","year":"1996","journal-title":"J. Phys. Chem."},{"key":"2026100109075369300_cit3","doi-asserted-by":"publisher","first-page":"240","DOI":"10.1038\/361240a0","article-title":"Controlling\nchaos in the Belousov-Zhabotinsky reaction","volume":"361","author":"Petrov","year":"1993","journal-title":"Nature"},{"key":"2026100109075369300_cit4","doi-asserted-by":"publisher","first-page":"2953","DOI":"10.1103\/PhysRevLett.64.2953","article-title":"Experimental\nevidence of a sustained standing Turing-type nonequilibrium chemical\npattern","volume":"64","author":"Castets","year":"1990","journal-title":"Phys. Rev. Lett."},{"key":"2026100109075369300_cit5","doi-asserted-by":"publisher","first-page":"610","DOI":"10.1038\/352610a0","article-title":"Transition from\na uniform state to hexagonal and striped\nTuring patterns","volume":"352","author":"Ouyang","year":"1991","journal-title":"Nature"},{"key":"2026100109075369300_cit6","doi-asserted-by":"publisher","first-page":"1750","DOI":"10.1126\/science.254.5039.1750","article-title":"Oscillatory\nkinetics and spatio-temporal self-organization in reactions at solid\nsurfaces","volume":"254","author":"Ertl","year":"1991","journal-title":"Science"},{"key":"2026100109075369300_cit7","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511666933","volume-title":"Phyllotaxis: A Systemic\nStudy in Plant Morphogenesis","author":"Jean","year":"1994"},{"key":"2026100109075369300_cit8","doi-asserted-by":"publisher","first-page":"2098","DOI":"10.1103\/PhysRevLett.68.2098","article-title":"Phyllotaxis as a physical\nself-organized growth process","volume":"68","author":"Douady","year":"1992","journal-title":"Phys. Rev. Lett."},{"key":"2026100109075369300_cit9","doi-asserted-by":"publisher","first-page":"3533","DOI":"10.5586\/asbp.3533","article-title":"Fibonacci\nor quasi-symmetric phyllotaxis.\nPart I: Why?","volume":"85","author":"Gole\u0301","year":"2016","journal-title":"Acta Soc. Bot. Polym."},{"key":"2026100109075369300_cit10","doi-asserted-by":"publisher","first-page":"3534","DOI":"10.5586\/asbp.3534","article-title":"Fibonacci\nor quasi-symmetric phyllotaxis. Part II:\nBotanical observations","volume":"85","author":"Douady","year":"2016","journal-title":"Acta Soc. Bot. Polym."},{"key":"2026100109075369300_cit11","doi-asserted-by":"publisher","DOI":"10.1103\/7tnn-pq49","article-title":"Phyllotactic\nstructures in radially growing spatial symmetry breaking systems","volume":"135","author":"Facchini","year":"2025","journal-title":"Phys. Rev. Lett."},{"key":"2026100109075369300_cit12","doi-asserted-by":"publisher","first-page":"37","DOI":"10.1098\/rstb.1952.0012","article-title":"The chemical\nbasis of morphogenesis","volume":"237","author":"Turing","year":"1952","journal-title":"Philos. Trans. R. Soc.\nLondon B Biol. Sci."},{"key":"2026100109075369300_cit13","doi-asserted-by":"publisher","first-page":"1790","DOI":"10.1021\/jp983210v","article-title":"Experimental studies and quantitative modeling of Turing patterns\nin the (chlorine dioxide, iodine, malonic acid) reaction","volume":"103","author":"Rudovics","year":"1999","journal-title":"J. Phys. Chem. A"},{"key":"2026100109075369300_cit14","doi-asserted-by":"publisher","first-page":"6718","DOI":"10.1039\/C8CP07797E","article-title":"Turing patterns\non radially growing domains: Experiments and simulations","volume":"21","author":"Konow","year":"2019","journal-title":"Phys. Chem. Chem. Phys."},{"key":"2026100109075369300_cit15","doi-asserted-by":"publisher","first-page":"26258","DOI":"10.1039\/D4CP01777C","article-title":"Turing patterns on rotating spiral\ngrowing domains","volume":"26","author":"Silva-Dias","year":"2024","journal-title":"Phys. Chem. Chem. Phys."},{"key":"2026100109075369300_cit16","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.93.062207","article-title":"Localized stationary\nand traveling reaction\u2013diffusion\npatterns in a two-layer A + B \u2192\noscillator system","volume":"93","author":"Budroni","year":"2016","journal-title":"Phys. Rev. E"},{"key":"2026100109075369300_cit17","doi-asserted-by":"publisher","first-page":"851","DOI":"10.1021\/acs.jpca.5b10802","article-title":"Spatially Localized Chemical Patterns\naround an A + B \u2192 Oscillator\nFront","volume":"120","author":"Budroni","year":"2016","journal-title":"J. Phys. Chem. A"},{"key":"2026100109075369300_cit18","doi-asserted-by":"publisher","first-page":"3213","DOI":"10.1021\/acsomega.8b02997","article-title":"Turing patterns and waves in closed\ntwo-layer gel reactors","volume":"4","author":"Du\u0301zs","year":"2019","journal-title":"ACS Omega"},{"key":"2026100109075369300_cit19","doi-asserted-by":"publisher","first-page":"671","DOI":"10.1038\/nmeth.2089","article-title":"NIH Image\nto ImageJ: 25 Years of\nImage Analysis","volume":"9","author":"Schneider","year":"2012","journal-title":"Nat. Methods"},{"key":"2026100109075369300_cit20","unstructured":"Turing, A. M.\n          \n          Part II. Chemical\ntheory of morphogenesis Unpublished typescript, AMT\/C\/9; after 1954, Turing Digital Archive, King\u2019s College, Cambridge, U.K., https:\/\/turingarchive.kings.cam.ac.uk\/amt-c-9, (accessed 08\/02\/2026)."}],"container-title":["The Journal of Physical\nChemistry Letters"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/pubs.acs.org\/doi\/pdf\/10.1021\/acs.jpclett.6c02604","content-type":"application\/pdf","content-version":"vor","intended-application":"unspecified"},{"URL":"https:\/\/pubs.acs.org\/jpclcd\/article-pdf\/17\/39\/11279\/68524967\/acs.jpclett.6c02604.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"https:\/\/pubs.acs.org\/jpclcd\/article-pdf\/17\/39\/11279\/68524967\/acs.jpclett.6c02604.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T13:31:36Z","timestamp":1790861496000},"score":1,"resource":{"primary":{"URL":"https:\/\/pubs.acs.org\/jpclcd\/article\/17\/39\/11279\/5430848\/Curved-Reaction-Diffusion-Fronts-Generate-Quasi"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,9,15]]},"references-count":20,"journal-issue":{"issue":"39","published-online":{"date-parts":[[2026,9,15]]},"published-print":{"date-parts":[[2026,10,1]]}},"URL":"https:\/\/doi.org\/10.1021\/acs.jpclett.6c02604","relation":{},"ISSN":["1948-7185"],"issn-type":[{"value":"1948-7185","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,9,15]]}}}