{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T16:58:04Z","timestamp":1790873884796,"version":"4.1.0"},"reference-count":59,"publisher":"American Physical Society (APS)","issue":"2","license":[{"start":{"date-parts":[[2026,2,12]],"date-time":"2026-02-12T00:00:00Z","timestamp":1770854400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":["journals.aps.org"],"crossmark-restriction":true},"short-container-title":["Phys. Rev. E"],"accepted":{"date-parts":[[2026,1,15]]},"abstract":"<jats:p>The growth of biological tissue is sensitive to the physical properties of the environment. For example, the growth rate of contractile tissue under geometric confinement is proportional to local curvature as a result of tissue surface tension. It is not known how local cell behavior is coordinated to give rise to such behavior. Here we use computer simulations based on the cellular Potts model to investigate the role of cell adhesion and cortical contractility for curvature-dependent tissue growth. Our results show that tension-dependent local proliferation leads to the observed macroscopic curvature-driven growth kinetics via tissue surface tension, independent of soluble growth factors.<\/jats:p>","DOI":"10.1103\/z152-x4l1","type":"journal-article","created":{"date-parts":[[2026,1,15]],"date-time":"2026-01-15T22:50:42Z","timestamp":1768517442000},"update-policy":"https:\/\/doi.org\/10.1103\/crossmark-policy","source":"Crossref","is-referenced-by-count":1,"title":["Cortical tension links curvature to tissue growth in the cellular Potts model"],"prefix":"10.1103","volume":"113","author":[{"ORCID":"https:\/\/orcid.org\/0009-0001-1038-3610","authenticated-orcid":true,"given":"Kai Lennard","family":"Fastabend","sequence":"first","affiliation":[{"id":[{"id":"https:\/\/ror.org\/024z2rq82","id-type":"ROR","asserted-by":"publisher"}],"name":"Heinrich Heine University D\u00fcsseldorf"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6243-562X","authenticated-orcid":true,"given":"C\u00e9cile M.","family":"Bidan","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/00pwgnh47","id-type":"ROR","asserted-by":"publisher"}],"name":"Max Planck Institute of Colloids and Interfaces"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2741-6383","authenticated-orcid":true,"given":"John W. C.","family":"Dunlop","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/05gs8cd61","id-type":"ROR","asserted-by":"publisher"}],"name":"University of Salzburg"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Philip","family":"Kollmannsberger","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/024z2rq82","id-type":"ROR","asserted-by":"publisher"}],"name":"Heinrich Heine University D\u00fcsseldorf"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"16","published-online":{"date-parts":[[2026,2,12]]},"reference":[{"key":"z152-x4l1Cc1R1","doi-asserted-by":"publisher","DOI":"10.1146\/annurev.cellbio.22.010305.104315","type":"journal-article"},{"key":"z152-x4l1Cc2R1","doi-asserted-by":"publisher","DOI":"10.1088\/0022-3727\/49\/5\/053001","type":"journal-article"},{"key":"z152-x4l1Cc3R1","doi-asserted-by":"publisher","DOI":"10.3389\/fonc.2013.00087","type":"journal-article"},{"key":"z152-x4l1Cc4R1","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4899-7980-3","type":"book","volume-title":"Cellular Automaton Modeling of Biological Pattern Formation: Characterization, Examples, and Analysis","author":"A. Deutsch","year":"2017"},{"key":"z152-x4l1Cc5R1","doi-asserted-by":"publisher","DOI":"10.1098\/rsif.2008.0064","type":"journal-article"},{"key":"z152-x4l1Cc6R1","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pone.0073545","type":"journal-article"},{"key":"z152-x4l1Cc7R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.biomaterials.2015.04.061","type":"journal-article"},{"key":"z152-x4l1Cc8R1","doi-asserted-by":"publisher","DOI":"10.1098\/rsif.2016.0136","type":"journal-article"},{"key":"z152-x4l1Cc9R1","doi-asserted-by":"publisher","DOI":"10.1002\/advs.201600347","type":"journal-article"},{"key":"z152-x4l1Cc10R1","doi-asserted-by":"publisher","DOI":"10.1126\/sciadv.aao4881","type":"journal-article"},{"key":"z152-x4l1Cc11R1","doi-asserted-by":"publisher","DOI":"10.1126\/sciadv.aav9394","type":"journal-article"},{"key":"z152-x4l1Cc12R1","doi-asserted-by":"publisher","DOI":"10.1116\/1.3431524","type":"journal-article"},{"key":"z152-x4l1Cc13R1","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pone.0036336","type":"journal-article"},{"key":"z152-x4l1Cc14R1","doi-asserted-by":"publisher","DOI":"10.1126\/sciadv.add9275","type":"journal-article"},{"key":"z152-x4l1Cc15R1","doi-asserted-by":"publisher","DOI":"10.1007\/s10955-019-02461-7","type":"journal-article"},{"key":"z152-x4l1Cc16R1","doi-asserted-by":"publisher","DOI":"10.1093\/pnasnexus\/pgac292","type":"journal-article"},{"key":"z152-x4l1Cc17R1","volume-title":"Osteologie","author":"A. Roschger","year":"2023","type":"book"},{"key":"z152-x4l1Cc18R1","doi-asserted-by":"publisher","DOI":"10.1093\/pnasnexus\/pgae121","type":"journal-article"},{"key":"z152-x4l1Cc19R1","doi-asserted-by":"publisher","DOI":"10.1002\/adma.202206110","type":"journal-article"},{"key":"z152-x4l1Cc20R1","doi-asserted-by":"publisher","DOI":"10.1038\/273345a0","type":"journal-article"},{"key":"z152-x4l1Cc21R1","doi-asserted-by":"publisher","DOI":"10.1126\/science.276.5317.1425","type":"journal-article"},{"key":"z152-x4l1Cc22R1","doi-asserted-by":"publisher","DOI":"10.1007\/s11926-009-0017-1","type":"journal-article"},{"key":"z152-x4l1Cc23R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cub.2007.02.058","type":"journal-article"},{"key":"z152-x4l1Cc24R1","doi-asserted-by":"publisher","DOI":"10.1038\/nrm2222","type":"journal-article"},{"key":"z152-x4l1Cc25R1","doi-asserted-by":"publisher","DOI":"10.1529\/biophysj.108.134296","type":"journal-article"},{"key":"z152-x4l1Cc26R1","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.0900174106","type":"journal-article"},{"key":"z152-x4l1Cc27R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.bpj.2013.11.4498","type":"journal-article"},{"key":"z152-x4l1Cc28R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cub.2007.11.049","type":"journal-article"},{"key":"z152-x4l1Cc29R1","doi-asserted-by":"publisher","DOI":"10.1007\/s40571-015-0082-3","type":"journal-article"},{"key":"z152-x4l1Cc30R1","doi-asserted-by":"publisher","DOI":"10.1038\/s41598-020-80141-3","type":"journal-article"},{"key":"z152-x4l1Cc31R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.69.2013","type":"journal-article"},{"key":"z152-x4l1Cc32R1","volume-title":"Single-Cell-Based Models in Biology and Medicine","author":"J.\u00a0A. Glazier","year":"2007","type":"book"},{"key":"z152-x4l1Cc33R1","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.0704235104","type":"journal-article"},{"key":"z152-x4l1Cc34R1","doi-asserted-by":"publisher","DOI":"10.1080\/19336918.2016.1148864","type":"journal-article"},{"key":"z152-x4l1Cc35R1","volume-title":"Computational Methods in Cell Biology","author":"M.\u00a0H. Swat","year":"2012","type":"book"},{"key":"z152-x4l1Cc36R1","doi-asserted-by":"publisher","DOI":"10.1038\/nrm2592","type":"journal-article"},{"key":"z152-x4l1Cc37R1","doi-asserted-by":"publisher","DOI":"10.1080\/13642818608238968","type":"journal-article"},{"key":"z152-x4l1Cc38R1","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pone.0042852","type":"journal-article"},{"key":"z152-x4l1Cc39R1","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pcbi.1007459","type":"journal-article"},{"key":"z152-x4l1Cc40R1","unstructured":"See Supplemental Material at http:\/\/link.aps.org\/supplemental\/10.1103\/z152-x4l1 for additional figures and movies.","type":"other"},{"key":"z152-x4l1Cc41R1","doi-asserted-by":"publisher","DOI":"10.1186\/s13628-015-0022-x","type":"journal-article"},{"key":"z152-x4l1Cc42R1","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pcbi.1002392","type":"journal-article"},{"key":"z152-x4l1Cc43R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.bpj.2016.11.3203","type":"journal-article"},{"key":"z152-x4l1Cc44R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cej.2023.145776","type":"journal-article"},{"key":"z152-x4l1Cc45R1","doi-asserted-by":"publisher","DOI":"10.1038\/s41467-024-46698-7","type":"journal-article"},{"key":"z152-x4l1Cc46R1","doi-asserted-by":"publisher","DOI":"10.1007\/s10237-012-0458-8","type":"journal-article"},{"key":"z152-x4l1Cc47R1","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/14\/5\/055008","type":"journal-article"},{"key":"z152-x4l1Cc48R1","volume-title":"Single-Cell-Based Models in Biology and Medicine","author":"A.\u00a0F.\u00a0M. Mar\u00e9e","year":"2007","type":"book"},{"key":"z152-x4l1Cc49R1","volume-title":"Advances in Computational Biology","author":"S. Tripodi","year":"2010","type":"book"},{"key":"z152-x4l1Cc50R1","volume-title":"Probabilistic Cellular Automata: Theory, Applications and Future Perspectives","author":"S.\u00a0E.\u00a0M. Boas","year":"2018","type":"book"},{"key":"z152-x4l1Cc51R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.bpj.2024.03.002","type":"journal-article"},{"key":"z152-x4l1Cc52R1","doi-asserted-by":"publisher","DOI":"10.1088\/1478-3975\/7\/4\/046007","type":"journal-article"},{"key":"z152-x4l1Cc53R1","doi-asserted-by":"publisher","DOI":"10.1039\/C5IB00053J","type":"journal-article"},{"key":"z152-x4l1Cc54R1","doi-asserted-by":"publisher","DOI":"10.1038\/s41567-021-01374-1","type":"journal-article"},{"key":"z152-x4l1Cc55R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.81.4008","type":"journal-article"},{"key":"z152-x4l1Cc56R1","doi-asserted-by":"publisher","DOI":"10.1039\/D4SM00445K","type":"journal-article"},{"key":"z152-x4l1Cc58R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.bpj.2023.05.013","type":"journal-article"},{"key":"z152-x4l1Cc59R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cpc.2007.03.007","type":"journal-article"},{"key":"z152-x4l1Cc60R1","unstructured":"L. Fastabend, Tension-driven-cpm, https:\/\/github.com\/LennardFastabend\/tension-driven-cpm (2025).","type":"dataset"}],"container-title":["Physical Review E"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.aps.org\/article\/10.1103\/z152-x4l1","content-type":"unspecified","content-version":"vor","intended-application":"syndication"},{"URL":"http:\/\/harvest.aps.org\/v2\/journals\/articles\/10.1103\/z152-x4l1\/fulltext","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T16:02:18Z","timestamp":1790870538000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.aps.org\/doi\/10.1103\/z152-x4l1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,2,12]]},"references-count":59,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2026,2]]}},"URL":"https:\/\/doi.org\/10.1103\/z152-x4l1","relation":{"has-preprint":[{"id-type":"doi","id":"10.1101\/2025.05.26.656125","asserted-by":"object"}]},"ISSN":["2470-0045","2470-0053"],"issn-type":[{"value":"2470-0045","type":"print"},{"value":"2470-0053","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,2,12]]},"assertion":[{"value":"2025-06-03","name":"date_received","label":"Date Received","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"Published by the American Physical Society. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright_statement","label":"Copyright statement","group":{"name":"copyright","label":"copyright"}},{"value":"2026","name":"copyright_year","label":"Copyright year","group":{"name":"copyright","label":"copyright"}},{"value":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/","name":"creative_commons_license","label":"Creative Commons license","group":{"name":"licenses","label":"Licenses"}},{"value":"\u00a92026 The authors","name":"copyright_holder","label":"Copyright holder","group":{"name":"copyright","label":"copyright"}}],"article-number":"024403"}}