… of the role of mechanics and residual stress in tissue growth and … , and we demonstrate how
the necrotic core forms in our … saturate in a logistic profile, referred to as Verhulst growth or …

… previously been used to simulate multicellular spheroids [35, 54]… rapid growth followed by
growth saturation when spheroid … We note that in the necrotic core of some spheroids observed …

… protocols compare spheroid size as a function of time; … average sizes of the spheroid, inhibited
region and necrotic core at each … Multicellular tumor spheroid models to explore cell cycle …

… The purpose of this study was to investigate these effects … deprivation led to the development
of a necrotic core after 7 to … diminished due to (1) the saturation of the ROD mechanism (as …

… formed oxygen gradient toward the necrotic core due to limited … of vessel recruitment and
tight regulation of other factors are … , saturated growth was observed in the tri-culture spheroid …

… For the purpose of this study, we neglect double positivity (yellow) … spheroid does not contain
a visually distinct necrotic core, whereas the C8161 spheroid develops a very clear necrotic …

… measurements of overall spheroid size, R(t), radial measurements of the necrotic core, \(R_{\…
For this purpose we assume that experimental measurements are noisy observations of the …

… The model could generate a growth curve, which was fitted well by a Gompertzian function.
… necrosis defines the growth pattern. This early transient behavior of cells in tumor spheroid …

… 2 for spheroids formed with 5000 cells per spheroid, we do not observe a necrotic core until
… {o}}}}}}}}}| \theta )\), which we consider a function of θ for fixed y o . Profile likelihoods for each …

… Efficiency in the production of multicellular spheroids with … the necrotic area does not
grow gradually with the spheroid … study of the complexities of cancer growth and regulation. …