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However, a rational method to build these landscape models remains an open problem. Here we study vulval development in\n                    <jats:italic>C. elegans<\/jats:italic>\n                    by developing a framework based on Catastrophe Theory (CT) and approximate Bayesian computation (ABC) to build data-fitted landscape models. We first identify the candidate qualitative landscapes, and then use CT to build the simplest model consistent with the data, which we quantitatively fit using ABC. The resulting model suggests that the underlying mechanism is a quantifiable two-step decision controlled by EGF and Notch-Delta signals, where a non-vulval\/vulval decision is followed by a bistable transition to the two vulval states. This new model fits a broad set of data and makes several novel predictions.\n                  <\/jats:p>","DOI":"10.1371\/journal.pcbi.1009034","type":"journal-article","created":{"date-parts":[[2021,6,1]],"date-time":"2021-06-01T16:34:30Z","timestamp":1622565270000},"page":"e1009034","update-policy":"https:\/\/doi.org\/10.1371\/journal.pcbi.corrections_policy","source":"Crossref","is-referenced-by-count":30,"title":["Quantifying cell transitions in C. elegans with data-fitted landscape models"],"prefix":"10.1371","volume":"17","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9058-6663","authenticated-orcid":true,"given":"Elena","family":"Camacho-Aguilar","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5679-2268","authenticated-orcid":true,"given":"Aryeh","family":"Warmflash","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2217-3274","authenticated-orcid":true,"given":"David A.","family":"Rand","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"340","published-online":{"date-parts":[[2021,6,1]]},"reference":[{"key":"pcbi.1009034.ref001","volume-title":"The regulatory genome: gene regulatory networks in development and evolution","author":"EH Davidson","year":"2010"},{"key":"pcbi.1009034.ref002","volume-title":"The Strategy of the Genes","author":"C Waddington","year":"1957"},{"issue":"15","key":"pcbi.1009034.ref003","doi-asserted-by":"crossref","first-page":"5568","DOI":"10.1073\/pnas.1201505109","article-title":"Geometry, epistasis, and developmental patterning","volume":"109","author":"F Corson","year":"2012","journal-title":"Proceedings of the National Academy of Sciences"},{"issue":"52","key":"pcbi.1009034.ref004","doi-asserted-by":"crossref","first-page":"E5643","DOI":"10.1073\/pnas.1408993111","article-title":"Bifurcation analysis of single-cell gene expression data reveals epigenetic landscape","volume":"111","author":"E Marco","year":"2014","journal-title":"Proceedings of the National Academy of Sciences"},{"key":"pcbi.1009034.ref005","doi-asserted-by":"crossref","first-page":"e30743","DOI":"10.7554\/eLife.30743","article-title":"Gene free methodology for cell fate dynamics during development","volume":"6","author":"F Corson","year":"2017","journal-title":"eLife"},{"issue":"6337","key":"pcbi.1009034.ref006","doi-asserted-by":"crossref","first-page":"eaai7407","DOI":"10.1126\/science.aai7407","article-title":"Self-organized Notch dynamics generate stereotyped sensory organ patterns in Drosophila","volume":"356","author":"F Corson","year":"2017","journal-title":"Science"},{"key":"pcbi.1009034.ref007","doi-asserted-by":"crossref","unstructured":"Sternberg PW. 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