{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,20]],"date-time":"2026-05-20T06:39:18Z","timestamp":1779259158521,"version":"3.51.4"},"reference-count":54,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2015,3,1]],"date-time":"2015-03-01T00:00:00Z","timestamp":1425168000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Journal of Theoretical Biology"],"published-print":{"date-parts":[[2015,3]]},"DOI":"10.1016\/j.jtbi.2014.12.005","type":"journal-article","created":{"date-parts":[[2014,12,20]],"date-time":"2014-12-20T08:15:18Z","timestamp":1419063318000},"page":"37-54","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":13,"special_numbering":"C","title":["A new mechanochemical model: Coupled Ginzburg\u2013Landau and Swift\u2013Hohenberg equations in biological patterns of marine animals"],"prefix":"10.1016","volume":"368","author":[{"given":"M.A.","family":"Morales","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J.F.","family":"Rojas","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J.","family":"Oliveros","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A.A.","family":"Hern\u00e1ndez S.","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/j.jtbi.2014.12.005_bib1","first-page":"213","article-title":"Spatial pattering in modified Turing systems: application to pigmentation patterns on Marine Fish","volume":"13","author":"Arag\u00f3n","year":"1998","journal-title":"Forma"},{"key":"10.1016\/j.jtbi.2014.12.005_bib2","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1016\/S0925-4773(99)00211-7","article-title":"Zebrafish Leopard gene as a component of the putative reaction-diffusion system","volume":"89","author":"Asai","year":"1999","journal-title":"Mech. Dev."},{"key":"10.1016\/j.jtbi.2014.12.005_bib3","doi-asserted-by":"crossref","first-page":"3959","DOI":"10.1021\/jp111584u","article-title":"Turing pattern formation by the CIMA reaction in a chemical system consisting of quaternary alkyl ammonium cationic groups","volume":"115","author":"Asakura","year":"2011","journal-title":"J. Phys. Chem. B"},{"key":"10.1016\/j.jtbi.2014.12.005_bib4","doi-asserted-by":"crossref","first-page":"483","DOI":"10.1006\/bulm.1998.0093","article-title":"A two-dimensional numerical study of spatial pattern formation in interacting Turing systems","volume":"61","author":"Barrio","year":"1999","journal-title":"Bull. Math. Biol."},{"key":"10.1016\/j.jtbi.2014.12.005_bib5","doi-asserted-by":"crossref","first-page":"031908","DOI":"10.1103\/PhysRevE.79.031908","article-title":"Modeling the skin patterns of fishes","volume":"79","author":"Barrio","year":"2009","journal-title":"Phys. Rev. E"},{"key":"10.1016\/j.jtbi.2014.12.005_bib6","doi-asserted-by":"crossref","first-page":"635","DOI":"10.1007\/s100510051192","article-title":"Response function of coarsening systems","volume":"11","author":"Berthier","year":"1999","journal-title":"Eur. Phys. J. B."},{"key":"10.1016\/j.jtbi.2014.12.005_bib7","doi-asserted-by":"crossref","first-page":"4047","DOI":"10.1142\/S0217979205032607","article-title":"Modeling grain boundaries in solids using a combined nonlinear and geometrical method","volume":"19","author":"Boyer","year":"2005","journal-title":"J. Mod. Phys. B"},{"key":"10.1016\/j.jtbi.2014.12.005_bib8","doi-asserted-by":"crossref","first-page":"046119","DOI":"10.1103\/PhysRevE.65.046119","article-title":"Grain boundary pinning and glassy dynamics in stripe phases","volume":"65","author":"Boyer","year":"2002","journal-title":"Phys. Rev. E"},{"key":"10.1016\/j.jtbi.2014.12.005_bib9","doi-asserted-by":"crossref","first-page":"357","DOI":"10.1080\/00018739400101505","article-title":"Theory of phases-ordering kinetics","volume":"43","author":"Bray","year":"1994","journal-title":"Adv. Phys."},{"key":"10.1016\/j.jtbi.2014.12.005_bib10","doi-asserted-by":"crossref","first-page":"2953","DOI":"10.1103\/PhysRevLett.64.2953","article-title":"Experimental evidence of a sustained standing Turing-type nonequilibrium chemical pattern","volume":"64","author":"Castes","year":"1990","journal-title":"Phys. Rev. Lett."},{"key":"10.1016\/j.jtbi.2014.12.005_bib11","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1007\/BF00276132","article-title":"A generalized diffusion model for growth and dispersal in a population","volume":"12","author":"Cohen","year":"1981","journal-title":"J. Math. Biol."},{"key":"10.1016\/j.jtbi.2014.12.005_bib12","series-title":"Ordinary Differential Equations: Introduction and Qualitative Theory","author":"Cronin","year":"2008"},{"key":"10.1016\/j.jtbi.2014.12.005_bib13","doi-asserted-by":"crossref","first-page":"607","DOI":"10.1063\/1.166038","article-title":"Chaotic domains","volume":"4","author":"Cross","year":"1994","journal-title":"Chaos"},{"key":"10.1016\/j.jtbi.2014.12.005_bib14","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1371\/journal.pgen.1002899","article-title":"Melanophore migration and survival during zebrafish adult pigment stripe development require the immunoglobulin superfamily adhesion molecule igsf11","volume":"8","author":"Eom","year":"2012","journal-title":"Plos Genet."},{"key":"10.1016\/j.jtbi.2014.12.005_bib15","doi-asserted-by":"crossref","first-page":"30","DOI":"10.1007\/BF00289234","article-title":"A theory of biological pattern formation","volume":"12","author":"Gierer","year":"1972","journal-title":"Kybernetik"},{"key":"10.1016\/j.jtbi.2014.12.005_bib16","doi-asserted-by":"crossref","first-page":"041131","DOI":"10.1103\/PhysRevE.76.041131","article-title":"Coarsening in potential and nonpotential models of oblique stripe patterns","volume":"76","author":"Gomez-Solano","year":"2007","journal-title":"Phys. Rev. E"},{"key":"10.1016\/j.jtbi.2014.12.005_bib17","doi-asserted-by":"crossref","first-page":"677","DOI":"10.1126\/science.1212821","article-title":"Pigment pattern formation by contact-dependent depolarization","volume":"335","author":"Inaba","year":"2012","journal-title":"Science"},{"key":"10.1016\/j.jtbi.2014.12.005_bib18","doi-asserted-by":"crossref","first-page":"339","DOI":"10.1016\/0022-5193(70)90092-5","article-title":"Initiation of slime mold aggregation viewed as an instability","volume":"26","author":"Keller","year":"1970","journal-title":"J. Theor. Biol."},{"key":"10.1016\/j.jtbi.2014.12.005_bib19","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1016\/0022-5193(71)90050-6","article-title":"Model of chemotaxis","volume":"30","author":"Keller","year":"1971","journal-title":"J. Theor. Biol."},{"key":"10.1016\/j.jtbi.2014.12.005_bib20","doi-asserted-by":"crossref","first-page":"765","DOI":"10.1038\/376765a0","article-title":"A reaction-diffusion wave on the skin of the marine angelfish Pomacanthus","volume":"376","author":"Kondo","year":"1995","journal-title":"Nature"},{"key":"10.1016\/j.jtbi.2014.12.005_bib21","doi-asserted-by":"crossref","first-page":"650","DOI":"10.1126\/science.251.4994.650","article-title":"Modeling of Turing structures in the Chlorite-Iodide-Malonic Acid-Starch reaction system","volume":"251","author":"Lengyel","year":"1991","journal-title":"Science"},{"key":"10.1016\/j.jtbi.2014.12.005_bib22","doi-asserted-by":"crossref","first-page":"1689","DOI":"10.1063\/1.126137","article-title":"Dense array of ordered GaAs nanostructure by selective area growth on substrates patterned by block copolymer lithography","volume":"76","author":"Li","year":"2000","journal-title":"Appl. Phys. Lett."},{"key":"10.1016\/j.jtbi.2014.12.005_bib23","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1016\/j.crvi.2003.05.006","article-title":"Using mathematical models to help understand biological pattern formation","volume":"327","author":"Maini","year":"2004","journal-title":"C. R. Biol."},{"key":"10.1016\/j.jtbi.2014.12.005_bib24","doi-asserted-by":"crossref","first-page":"1064","DOI":"10.1137\/0148062","article-title":"A nonlinear analysis of a mechanical model for biological pattern formation","volume":"48","author":"Maini","year":"1988","journal-title":"SIAM J. Appl. Math."},{"key":"10.1016\/j.jtbi.2014.12.005_bib25","doi-asserted-by":"crossref","first-page":"701","DOI":"10.1007\/BF02461550","article-title":"Bifurcation spatial heterogeneous solutions in a chemotaxis model for biological pattern generation","volume":"53","author":"Maini","year":"1991","journal-title":"Bull. Math. Biol."},{"key":"10.1016\/j.jtbi.2014.12.005_bib26","doi-asserted-by":"crossref","first-page":"722","DOI":"10.1038\/376722a0","article-title":"Dynamics of stripes formation","volume":"376","author":"Meinhardt","year":"1995","journal-title":"Nature"},{"key":"10.1016\/j.jtbi.2014.12.005_bib27","doi-asserted-by":"crossref","first-page":"407","DOI":"10.1098\/rsfs.2011.0097","article-title":"Turing\u05f3s theory of morphogenesis of 1952 and the subsequent discovery of the crucial role of local self-enhancement and long-range inhibition","volume":"2","author":"Meinhardt","year":"2012","journal-title":"Interface Focus"},{"key":"10.1016\/j.jtbi.2014.12.005_bib28","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1016\/S0022-5193(87)80101-7","article-title":"A model for pattern formation on the shells of molluscs","volume":"126","author":"Meinhardt","year":"1987","journal-title":"J. Theor. Biol."},{"key":"10.1016\/j.jtbi.2014.12.005_bib29","doi-asserted-by":"crossref","first-page":"779","DOI":"10.1016\/j.physa.2011.08.054","article-title":"Modeling ternary mixtures by mean-field theory of polyelectrolytes","volume":"391","author":"Morales","year":"2012","journal-title":"Phys. A"},{"key":"10.1016\/j.jtbi.2014.12.005_bib30","series-title":"Mathematical Biology","author":"Murray","year":"2001"},{"key":"10.1016\/j.jtbi.2014.12.005_bib31","doi-asserted-by":"crossref","first-page":"265","DOI":"10.1007\/BF00277099","article-title":"Cell traction models for generating pattern and form in morphogenesis","volume":"19","author":"Murray","year":"1984","journal-title":"J. Math. Biol."},{"key":"10.1016\/j.jtbi.2014.12.005_bib32","doi-asserted-by":"crossref","first-page":"125","DOI":"10.1007\/BF00276117","article-title":"A mechanical model for mesenchymal morphogenesis","volume":"17","author":"Murray","year":"1983","journal-title":"J. Math. Biol."},{"key":"10.1016\/j.jtbi.2014.12.005_bib33","doi-asserted-by":"crossref","first-page":"59","DOI":"10.1016\/0370-1573(88)90003-8","article-title":"Mechanochemical models for generating biological pattern and from in development","volume":"171","author":"Murray","year":"1988","journal-title":"Phys. Rep."},{"key":"10.1016\/j.jtbi.2014.12.005_bib34","doi-asserted-by":"crossref","first-page":"359","DOI":"10.1016\/S0022-5193(87)80078-4","article-title":"Complex spatial patterns from tissue interaction","volume":"128","author":"Nagorcka","year":"1987","journal-title":"J. Theor. Biol."},{"key":"10.1016\/j.jtbi.2014.12.005_bib35","doi-asserted-by":"crossref","first-page":"489","DOI":"10.1007\/BF00163040","article-title":"Spatio-temporal patterns in a mechanical model for mesenchymal morphogenesis","volume":"33","author":"Ngwa","year":"1995","journal-title":"J. Math. Biol."},{"key":"10.1016\/j.jtbi.2014.12.005_bib36","first-page":"83","article-title":"Mechanical aspects of mesenchymal morphogenesis","volume":"78","author":"Oster","year":"1983","journal-title":"J. Embryol. Exp. Morph."},{"key":"10.1016\/j.jtbi.2014.12.005_bib37","doi-asserted-by":"crossref","first-page":"610","DOI":"10.1038\/352610a0","article-title":"Transition from a uniform state to hexagonal and striped Turing patterns","volume":"352","author":"Ouyang","year":"1991","journal-title":"Nature"},{"key":"10.1016\/j.jtbi.2014.12.005_bib38","doi-asserted-by":"crossref","first-page":"6773","DOI":"10.1021\/j100195a045","article-title":"Spatial bistability of two-dimensional Turing patterns in a reaction-diffusion system","volume":"96","author":"Ouyang","year":"1992","journal-title":"J. Phys. Chem."},{"key":"10.1016\/j.jtbi.2014.12.005_bib39","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1016\/j.physd.2005.01.022","article-title":"Complex pattern formation in reaction-difussion systems with spatially varying parameters","volume":"202","author":"Page","year":"2005","journal-title":"Phys. D"},{"key":"10.1016\/j.jtbi.2014.12.005_bib40","doi-asserted-by":"crossref","first-page":"5549","DOI":"10.1073\/pnas.96.10.5549","article-title":"Stripe formation in Juvenile Pomacanthus explained by a generalized Turing mechanism with chemotaxis","volume":"96","author":"Painter","year":"1999","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"10.1016\/j.jtbi.2014.12.005_bib41","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevE.73.066205","article-title":"Minimal model for spatial coherence resonance","volume":"73","author":"Perc","year":"2006","journal-title":"Phys. Rev. E"},{"key":"10.1016\/j.jtbi.2014.12.005_bib42","doi-asserted-by":"crossref","first-page":"525","DOI":"10.1007\/BF00275682","article-title":"Nonlinear pattern selection in a mechanical model for morphogenesis","volume":"24","author":"Perelson","year":"1986","journal-title":"J. Math. Biol."},{"key":"10.1016\/j.jtbi.2014.12.005_bib43","series-title":"The Dynamics of Patterns","author":"Ravinovich","year":"2000"},{"key":"10.1016\/j.jtbi.2014.12.005_bib44","doi-asserted-by":"crossref","first-page":"11956","DOI":"10.1103\/PhysRevB.39.11956","article-title":"Numerical study of late-stage coarsening for off-critical quenches in the Cahn-Hilliard equation of phase separation","volume":"39","author":"Rogers","year":"1989","journal-title":"Phys. Rev. B"},{"key":"10.1016\/j.jtbi.2014.12.005_bib45","doi-asserted-by":"crossref","first-page":"404","DOI":"10.1016\/j.jtbi.2008.08.026","article-title":"Dynamics of patterns formation in biomimetic systems","volume":"255","author":"Rossi","year":"2008","journal-title":"J. Theor. Biol."},{"key":"10.1016\/j.jtbi.2014.12.005_bib46","doi-asserted-by":"crossref","first-page":"1790","DOI":"10.1021\/jp983210v","article-title":"Experimental studies and quantitative modeling of Turing patterns in the (chlorine dioxide, iodine, malonic acid) reaction","volume":"103","author":"Rudovics","year":"1999","journal-title":"J. Phys. Chem."},{"key":"10.1016\/j.jtbi.2014.12.005_bib47","doi-asserted-by":"crossref","first-page":"476","DOI":"10.1126\/science.267.5197.476","article-title":"Domain shapes and patterns","volume":"267","author":"Seul","year":"1995","journal-title":"Science"},{"key":"10.1016\/j.jtbi.2014.12.005_bib48","doi-asserted-by":"crossref","first-page":"1447","DOI":"10.1126\/science.1130088","article-title":"WNT and DKK determine hair follicle spacing through a reaction-diffusion mechanism","volume":"314","author":"Sick","year":"2006","journal-title":"Science"},{"key":"10.1016\/j.jtbi.2014.12.005_bib49","doi-asserted-by":"crossref","first-page":"607","DOI":"10.1038\/ncb2955","article-title":"Proliferation, dispersal and patterned aggregation of iridophores in the skin prefigure striped colouration of zebrafish","volume":"16","author":"Singh","year":"2014","journal-title":"Nat. Cell Biol."},{"key":"10.1016\/j.jtbi.2014.12.005_bib50","doi-asserted-by":"crossref","first-page":"37","DOI":"10.1098\/rstb.1952.0012","article-title":"The chemical basis for morphogenesis","volume":"237","author":"Turing","year":"1952","journal-title":"Phil. Trans. R. Soc. Lond. B"},{"key":"10.1016\/j.jtbi.2014.12.005_bib51","doi-asserted-by":"crossref","first-page":"1250","DOI":"10.1103\/PhysRevE.56.1250","article-title":"Confined Turing patterns in growing systems","volume":"56","author":"Varea","year":"1997","journal-title":"Phys. Rev. E"},{"key":"10.1016\/j.jtbi.2014.12.005_bib52","doi-asserted-by":"crossref","first-page":"041923","DOI":"10.1103\/PhysRevE.84.041923","article-title":"Modeling Parr\u2013Mark pattern formation during the early development of Amago trout","volume":"84","author":"Venkataraman","year":"2011","journal-title":"Phys. Rev. E"},{"key":"10.1016\/j.jtbi.2014.12.005_bib53","doi-asserted-by":"crossref","first-page":"797","DOI":"10.1111\/1523-1747.ep12330553","article-title":"FGF induces new feather buds from developing avian skin","volume":"107","author":"Widelitz","year":"1996","journal-title":"Inves. Dermat."},{"key":"10.1016\/j.jtbi.2014.12.005_bib54","doi-asserted-by":"crossref","first-page":"1867","DOI":"10.1073\/pnas.1315416111","article-title":"In vitro analysis suggests that difference in cell movement during direct interaction can generate various pigment patterns in vivo","volume":"111","author":"Yamanaka","year":"2014","journal-title":"Proc. Natl. Acad. Sci."}],"container-title":["Journal of Theoretical Biology"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0022519314006948?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0022519314006948?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,11,2]],"date-time":"2019-11-02T22:52:11Z","timestamp":1572735131000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0022519314006948"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,3]]},"references-count":54,"alternative-id":["S0022519314006948"],"URL":"https:\/\/doi.org\/10.1016\/j.jtbi.2014.12.005","relation":{},"ISSN":["0022-5193"],"issn-type":[{"value":"0022-5193","type":"print"}],"subject":[],"published":{"date-parts":[[2015,3]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"A new mechanochemical model: Coupled Ginzburg\u2013Landau and Swift\u2013Hohenberg equations in biological patterns of marine animals","name":"articletitle","label":"Article Title"},{"value":"Journal of Theoretical Biology","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.jtbi.2014.12.005","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"Copyright \u00a9 2014 Elsevier Ltd. All rights reserved.","name":"copyright","label":"Copyright"}]}}