{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,7]],"date-time":"2026-07-07T00:31:56Z","timestamp":1783384316406,"version":"3.54.6"},"reference-count":60,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2024,7,26]],"date-time":"2024-07-26T00:00:00Z","timestamp":1721952000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Natural Science Foundation of China","award":["12375034"],"award-info":[{"award-number":["12375034"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>How did the complex structure of the telencephalon evolve? Existing explanations are based on phenomena and lack a first-principles account. The Darwinian dynamics and endogenous network theory\u2014established decades ago\u2014provides a mathematical and theoretical framework and a general constitutive structure for theory\u2013experiment coupling for answering this question from a first-principles perspective. By revisiting a gene network that explains the anterior\u2013posterior patterning of the vertebrate telencephalon, we found that upon increasing the cooperative effect within this network, fixed points gradually evolve, accompanied by the occurrence of two bifurcations. The dynamic behavior of this network is informed by the knowledge obtained from experiments on telencephalic evolution. Our work provides a quantitative explanation for how telencephalon anterior\u2013posterior patterning evolved from the pre-vertebrate chordate to the vertebrate and provides a series of verifiable predictions from a first-principles perspective.<\/jats:p>","DOI":"10.3390\/e26080631","type":"journal-article","created":{"date-parts":[[2024,7,26]],"date-time":"2024-07-26T13:04:59Z","timestamp":1721999099000},"page":"631","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Evolution of Telencephalon Anterior\u2013Posterior Patterning through Core Endogenous Network Bifurcation"],"prefix":"10.3390","volume":"26","author":[{"ORCID":"https:\/\/orcid.org\/0009-0008-7120-4023","authenticated-orcid":false,"given":"Chen","family":"Sun","sequence":"first","affiliation":[{"name":"Center for Quantitative Life Sciences & Physics Department, Shanghai University, Shanghai 200444, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Mengchao","family":"Yao","sequence":"additional","affiliation":[{"name":"Center for Quantitative Life Sciences & Physics Department, Shanghai University, Shanghai 200444, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ruiqi","family":"Xiong","sequence":"additional","affiliation":[{"name":"Center for Quantitative Life Sciences & Physics Department, Shanghai University, Shanghai 200444, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yang","family":"Su","sequence":"additional","affiliation":[{"name":"Center for Quantitative Life Sciences & Physics Department, Shanghai University, Shanghai 200444, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Binglin","family":"Zhu","sequence":"additional","affiliation":[{"name":"Center for Quantitative Life Sciences & Physics Department, Shanghai University, Shanghai 200444, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yong-Cong","family":"Chen","sequence":"additional","affiliation":[{"name":"Center for Quantitative Life Sciences & Physics Department, Shanghai University, Shanghai 200444, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ping","family":"Ao","sequence":"additional","affiliation":[{"name":"School of Biomedical Engineering, Sichuan University, Chengdu 610065, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2024,7,26]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"R647","DOI":"10.1016\/j.cub.2019.05.026","article-title":"Evolution of the Chordate Telencephalon","volume":"29","author":"Briscoe","year":"2019","journal-title":"Curr. 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