{"data":{"id":"10.6084/m9.figshare.c.3491550.v2","type":"dois","attributes":{"doi":"10.6084/m9.figshare.c.3491550.v2","prefix":"10.6084","suffix":"m9.figshare.c.3491550.v2","identifiers":[],"alternateIdentifiers":[],"creators":[{"name":"S. Dini","affiliation":[],"nameIdentifiers":[]},{"name":"B. J. Binder","affiliation":[],"nameIdentifiers":[]},{"name":"S. C. Fischer","affiliation":[],"nameIdentifiers":[]},{"name":"C. Mattheyer","affiliation":[],"nameIdentifiers":[]},{"name":"A. Schmitz","affiliation":[],"nameIdentifiers":[]},{"name":"E. H. K. Stelzer","affiliation":[],"nameIdentifiers":[]},{"name":"N. G. Bean","affiliation":[],"nameIdentifiers":[]},{"name":"J. E. F. Green","affiliation":[],"nameIdentifiers":[]}],"titles":[{"title":"Supplementary material from \"Identifying the necrotic zone boundary in tumour spheroids with pair-correlation functions\""}],"publisher":"Figshare","container":{},"publicationYear":2016,"subjects":[{"subject":"111602 Human Biophysics","subjectScheme":"FOR"},{"subject":"FOS: Basic medicine","schemeUri":"http://www.oecd.org/science/inno/38235147.pdf","subjectScheme":"Fields of Science and Technology (FOS)"},{"subject":"Computational Biology"},{"subject":"10202 Biological Mathematics","subjectScheme":"FOR"},{"subject":"FOS: Mathematics","schemeUri":"http://www.oecd.org/science/inno/38235147.pdf","subjectScheme":"Fields of Science and Technology (FOS)"},{"subject":"80109 Pattern Recognition and Data Mining","subjectScheme":"FOR"},{"subject":"FOS: Computer and information sciences","schemeUri":"http://www.oecd.org/science/inno/38235147.pdf","subjectScheme":"Fields of Science and Technology (FOS)"}],"contributors":[],"dates":[{"date":"2016-10-07","dateType":"Created"},{"date":"2016-10-07","dateType":"Updated"},{"date":"2016","dateType":"Issued"}],"language":null,"types":{"ris":"GEN","bibtex":"misc","citeproc":"article","schemaOrg":"Collection","resourceType":"Collection","resourceTypeGeneral":"Collection"},"relatedIdentifiers":[{"relationType":"IsSupplementTo","relatedIdentifier":"10.1098/rsif.2016.0649","relatedIdentifierType":"DOI"},{"relationType":"IsIdenticalTo","relatedIdentifier":"10.6084/m9.figshare.c.3491550","relatedIdentifierType":"DOI"}],"relatedItems":[],"sizes":[],"formats":[],"version":null,"rightsList":[{"rights":"CC-BY","rightsUri":"https://creativecommons.org/licenses/by/4.0"}],"descriptions":[{"description":"Automatic identification of the necrotic zone boundary is important in the assessment of treatments on \u003ci\u003ein vitro\u003c/i\u003e tumour spheroids. This has been difficult especially when the difference in cell density between the necrotic and viable zones of a tumour spheroid is small. To help overcome this problem, we develop novel one-dimensional pair-correlation functions (PCFs) to provide quantitative estimates of the radial distance of the necrotic zone boundary from the centre of a tumour spheroid. We validate our approach on synthetic tumour spheroids in which the position of the necrotic zone boundary is known \u003ci\u003ea priori\u003c/i\u003e. It is then applied to nine real tumour spheroids imaged with light sheet-based fluorescence microscopy. PCF estimates of the necrotic zone boundary are compared with those of a human expert and an existing standard computational method.","descriptionType":"Abstract"}],"geoLocations":[],"fundingReferences":[],"xml":"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","url":"https://figshar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