Dose convolution filter: Incorporating spatial dose information into tissue response modeling
(a) A 1D dose distribution of 4 pixel length and (b) its filtered dose distribution. Here, is assumed to be 1 pixel.
2D dose distributions and their filtered-dose volume histograms. The radiation is delivered in (a) 16 squares that are in size and (b) 256 squares that are in size. The delivered dose is 100 Gy in the gray areas and 0 in the black areas. The filtered-dose volume histograms are shown in (c) and (d), where is assumed to be 1 pixel in both directions.
(a) Distribution of versus and (b) the best fit of DCF-RS model to rat spinal cord data. The four sets of data points and corresponding fits by the model are the 8 mm (○, solid line) and 4 mm (◻, dotted-dashed) single-segment irradiations of the rat spinal cord, along with two 4 mm segment irradiations with 8 mm (△, dotted line) and 12 mm (×, dashed line) distance between the centers of the segments, respectively.
Predicted dose-response curves in open and SFR fields, assuming (a) no leakage in the blocked areas or (b) 15% leakage in the blocked areas. In both figures, curves 1 through 7 are from open fields of (dotted) and (dotted), and SFR fields where the fields are spatially fractionated into 16, 64, 256, 1024, or 4096 squares of sizes , , , , , respectively.
Predicted rat spinal cord dose-response curves based on the optimum parameter values, compared to the measured data points in single-segment fields of 20 (○), 8 (△), 4 (×), and 2 mm (◇) length.
Predicted as a function of size of pencil beams in SFR fields, assuming no leakage or 15% leakage in the blocked areas.
Linear relation between bath dose and the corresponding shift in dose-response curve on semilogarithmic scale. Data are from symmetric bath and shower experiment by Bijl et al. (Ref. 6). We added one point at near 0 where no shift occurs.
Optimum values of model parameters in the fit to the rat spinal cord data and their 68% confidence intervals.
Values of (Gy) as predicted by the DCF-RS model and their estimated uncertainties for rat spinal cords in single-segment fields.
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