Sequence of imaging sessions and treatment phases for the analytical derivation of radiobiological parameters.
Radial profile of clonogen density and partial pressure of oxygen within the spherical model tumor.
Sensitivity of the dose prescription for a particular voxel to variations in the value of (a) effective ; (b) effective ; (c) proliferation rate (potential doubling times of 1, 10, 100, and are labeled); and (d) clonogen density . Doses are normalized to a reference voxel with the parameter values given in Table I.
Local and global minima of the objective function (OF) in the optimization plane.
Effect of increasing image noise on derived radiobiological parameters. Solid lines show the rms error in the mean computed value, and dashed lines indicate the standard deviation of individual voxel values.
(a) The effect on the matrix determinant of varying the phase 3 fraction size; (b) how uncertainties in calculating , , and vary as the determinant is varied in this manner; (c) how the matrix determinant varies with phase 1 treatment time; (d) the subsequent effect on uncertainties in calculated parameters. [For (b) and (d), solid lines show the rms error in the mean computed value, and dashed lines indicate the standard deviation of individual voxel values. Simulated data sets contained 10% random noise].
Initial parametric maps and final dose distributions for four tumor models. The parameters assigned to each model are given in Table II.
Reference parameter set.
Parameters for tumor models.
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