{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,1]],"date-time":"2026-08-01T04:58:35Z","timestamp":1785560315363,"version":"3.56.0"},"update-to":[{"DOI":"10.1371\/journal.pcbi.1011882","type":"new_version","label":"New version","source":"publisher","updated":{"date-parts":[[2024,6,17]],"date-time":"2024-06-17T00:00:00Z","timestamp":1718582400000}}],"reference-count":85,"publisher":"Public Library of Science (PLoS)","issue":"6","license":[{"start":{"date-parts":[[2024,6,5]],"date-time":"2024-06-05T00:00:00Z","timestamp":1717545600000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100012165","name":"Key Technologies Research and Development Program","doi-asserted-by":"publisher","award":["2021YFA0910700"],"award-info":[{"award-number":["2021YFA0910700"]}],"id":[{"id":"10.13039\/501100012165","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["T2321001"],"award-info":[{"award-number":["T2321001"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Peking-Tsinghua Center for Life Sciences","award":["Postdoctoral Fellowship"],"award-info":[{"award-number":["Postdoctoral Fellowship"]}]}],"content-domain":{"domain":["www.ploscompbiol.org"],"crossmark-restriction":false},"short-container-title":["PLoS Comput Biol"],"abstract":"<jats:p>\n                    In embryonic development and organogenesis, cells sharing identical genetic codes acquire diverse gene expression states in a highly reproducible spatial distribution, crucial for multicellular formation and quantifiable through positional information. To understand the spontaneous growth of complexity, we constructed a one-dimensional division-decision model, simulating the growth of cells with identical genetic networks from a single cell. Our findings highlight the pivotal role of cell division in providing positional cues, escorting the system toward states rich in information. Moreover, we pinpointed lateral inhibition as a critical mechanism translating spatial contacts into gene expression. Our model demonstrates that the spatial arrangement resulting from cell division, combined with cell lineages, imparts positional information, specifying multiple cell states with increased complexity\u2014illustrated through examples in\n                    <jats:italic>C.elegans<\/jats:italic>\n                    . This study constitutes a foundational step in comprehending developmental intricacies, paving the way for future quantitative formulations to construct synthetic multicellular patterns.\n                  <\/jats:p>","DOI":"10.1371\/journal.pcbi.1011882","type":"journal-article","created":{"date-parts":[[2024,6,5]],"date-time":"2024-06-05T13:38:03Z","timestamp":1717594683000},"page":"e1011882","update-policy":"https:\/\/doi.org\/10.1371\/journal.pcbi.corrections_policy","source":"Crossref","is-referenced-by-count":1,"title":["A mathematical framework for understanding the spontaneous emergence of complexity applicable to growing multicellular systems"],"prefix":"10.1371","volume":"20","author":[{"given":"Lu","family":"Zhang","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Gang","family":"Xue","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xiaolin","family":"Zhou","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jiandong","family":"Huang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6662-2636","authenticated-orcid":true,"given":"Zhiyuan","family":"Li","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"340","published-online":{"date-parts":[[2024,6,5]]},"reference":[{"key":"pcbi.1011882.ref001","author":"L Wolpert","year":"1998","journal-title":"Principles Of Development"},{"issue":"6","key":"pcbi.1011882.ref002","doi-asserted-by":"crossref","first-page":"955","DOI":"10.1016\/j.cell.2011.03.009","article-title":"Pattern, growth, and control","volume":"144","author":"AD Lander","year":"2011","journal-title":"Cell"},{"issue":"10","key":"pcbi.1011882.ref003","doi-asserted-by":"crossref","first-page":"903","DOI":"10.1016\/S0960-9822(00)00200-1","article-title":"Winged-helix in axial patterning","volume":"4","author":"AP McMahon","year":"1994","journal-title":"Curr Biol"},{"issue":"3","key":"pcbi.1011882.ref004","doi-asserted-by":"crossref","first-page":"253","DOI":"10.1002\/aja.1002030302","article-title":"Stages of Embryonic-Development of the Zebrafish","volume":"203","author":"CB Kimmel","year":"1995","journal-title":"Developmental Dynamics"},{"issue":"21","key":"pcbi.1011882.ref005","doi-asserted-by":"crossref","first-page":"1888","DOI":"10.1016\/j.cub.2005.09.046","article-title":"Bicoid determines sharp and precise target gene expression in the Drosophila embryo","volume":"15","author":"O Crauk","year":"2005","journal-title":"Curr Biol"},{"issue":"11","key":"pcbi.1011882.ref006","doi-asserted-by":"crossref","first-page":"2949","DOI":"10.1002\/dvdy.20940","article-title":"Analysis of pattern precision shows that Drosophila segmentation develops substantial independence from gradients of maternal gene products","volume":"235","author":"DM Holloway","year":"2006","journal-title":"Dev Dyn"},{"issue":"1","key":"pcbi.1011882.ref007","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1111\/dgd.12337","article-title":"Scaling of pattern formations and morphogen gradients","volume":"59","author":"H. 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