Example of an SPR (a), OP map (b), and MPV50 (c) obtained for Patient 1. The gray contours represents the GTV. Slices are not consecutive. (a) SPR (white-filled region) obtained with one given ensemble of parameter values. (b) OP map (red to blue color gradient shown on the left) obtained with N = 400 ensembles of parameter values. (c) MPV50 volume (white-filled region indicated by arrows) obtained with N = 400 ensembles of parameter values.
Absolute volumes of all MPVOP for each patients. The gray bars indicate the MPVT and corresponding OPT value. The threshold volume (4.2 cm3) used to define an SPR is indicated by the dashed line. The white bars indicate the MPV50, if it exists.
Outward distance between a given MPVOP and GTV for each patient. Gray bars indicate the distance for the MPVT. White bars indicate the distance for the MPV50, if applicable. These distances represent the margin that would need to be added to the GTV to include a given MPVOP. The absence of bar (null distance) for a given OP value means that, for the concerned patient, the corresponding MPVOP is either nonexistent or completely located inside the GTV. The dashed line represents the typical uniform margin (2 cm) traditionally added to the GTV to define the CTV.
Absolute volume the MPV20 for each patient as a function of the number N of ensembles of parameter values used to calculate the underlying OP maps. The vertical dotted lines indicate N = 140.
(Left) Black boxes indicate the OP values for which the corresponding MPVOP has no statistically significant change in the absolute volume with increasing N. White boxes indicate the MPVOP for which the volume show a significant change with increasing N. No box indicates that the corresponding MPVOP does not exist for every N ⩾ 140 considered. (Right) MPVOP for which the Jaccard index J is above 0.8. No box indicates that the corresponding MPVOP does not exist for either N = 140 or N = 400. In both figures, the circles indicate the MPVT.
Summary of model parameters values. μ and σ refer to the mean and standard deviation of a normal distribution used to generate parameter values. The ranges indicate the limits where the distributions are truncated.
Summary of patients properties. GTR = gross total resection, STR = sub-total resection, B = biopsy only, TMZ = temozolomide. The presence of hypoxia was considered in the model if either necrosis (preferably) or a surgical cavity (otherwise) was identifiable for a given patient.
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