{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,20]],"date-time":"2026-07-20T11:59:26Z","timestamp":1784548766884,"version":"3.55.0"},"reference-count":42,"publisher":"The Royal Society","issue":"8","license":[{"start":{"date-parts":[[2025,8,1]],"date-time":"2025-08-01T00:00:00Z","timestamp":1754006400000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"},{"start":{"date-parts":[[2025,8,1]],"date-time":"2025-08-01T00:00:00Z","timestamp":1754006400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100003382","name":"Core Research for Evolutional Science and Technology","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100003382","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100009619","name":"Japan Agency for Medical Research and Development","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100009619","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001691","name":"Japan Society for the Promotion of Science","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100001691","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["royalsocietypublishing.org"],"crossmark-restriction":true},"short-container-title":["R. Soc. Open Sci."],"published-print":{"date-parts":[[2025,8]]},"abstract":"<jats:p>Recent advances in various observation methods revealed several unique characteristics of oesophageal peristalsis and its disorders. However, a framework for understanding the oesophageal motility pattern is lacking. Here, we propose a simple mathematical model of the human oesophageal motility function. The model comprises central nervous system signals, enteric nervous system neurons (interneurons and motoneurons) and oesophageal smooth muscles. The neural function implements excitable dynamics at the oesophageal body and toggle-switch dynamics at the lower oesophageal sphincter. The local signal transmission in enteric nervous system and \u2018the law of the intestine\u2019 were also incorporated. The model behaviours can be understood using mathematical analysis, and we could reproduce the physiological dynamics of the normal oesophagus\u2014deglutitive inhibition, unidirectional pulse transmission, restoration of lower oesophageal sphincter constriction and dilatation of the anal side of the pulse. In addition, we could reproduce various pathological motility patterns described in the Chicago classification by the combinations of parameter changes, which may provide insights into the possible pathogenesis of these disorders.<\/jats:p>","DOI":"10.1098\/rsos.250491","type":"journal-article","created":{"date-parts":[[2025,8,20]],"date-time":"2025-08-20T04:52:57Z","timestamp":1755665577000},"update-policy":"https:\/\/doi.org\/10.1098\/crossmark-policy","source":"Crossref","is-referenced-by-count":1,"title":["A mathematical model of human oesophageal motility function"],"prefix":"10.1098","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9465-275X","authenticated-orcid":true,"given":"Takashi","family":"Miura","sequence":"first","affiliation":[{"name":"Department of Anatomy and Cell Biology, Graduate School of Medical Sciences, Kyushu University","place":["Fukuoka, Japan"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Hiroshi","family":"Ishii","sequence":"additional","affiliation":[{"name":"Hokkaido University Research Institute for Electronic Science","place":["Sapporo, Japan"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yoshitaka","family":"Hata","sequence":"additional","affiliation":[{"name":"Department of Medicine and Bioregulatory Science, Graduate School of Medical Sciences, Kyushu University","place":["Fukuoka, Japan"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Hisako","family":"Takigawa-Imamura","sequence":"additional","affiliation":[{"name":"Department of Anatomy and Cell Biology, Graduate School of Medical Sciences, Kyushu University","place":["Fukuoka, Japan"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Kei","family":"Sugihara","sequence":"additional","affiliation":[{"name":"Department of Anatomy and Cell Biology, Graduate School of Medical Sciences, Kyushu University","place":["Fukuoka, Japan"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Shin-Ichiro","family":"Ei","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Josai University","place":["Sakado, Japan"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xiaopeng","family":"Bai","sequence":"additional","affiliation":[{"name":"Department of Medicine and Bioregulatory Science, Graduate School of Medical Sciences, Kyushu University","place":["Fukuoka, Japan"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Eikichi","family":"Ihara","sequence":"additional","affiliation":[{"name":"Department of Medicine and Bioregulatory Science, Graduate School of Medical Sciences, Kyushu University","place":["Fukuoka, Japan"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yoshihiro","family":"Ogawa","sequence":"additional","affiliation":[{"name":"Department of Medicine and Bioregulatory Science, Graduate School of Medical Sciences, Kyushu University","place":["Fukuoka, Japan"]}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"175","published-online":{"date-parts":[[2025,8,20]]},"reference":[{"key":"e_1_3_8_2_2","volume-title":"Guyton and hall textbook of medical physiology","author":"Hall JE","year":"2021","unstructured":"Hall JE. 2021 Guyton and hall textbook of medical physiology, 14th edn. 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