Supplementary material from "Identifying the necrotic zone boundary in tumour spheroids with pair-correlation functions"

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 a priori . 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.