How to use G4 to calculate Radial dose function, Anisotropy function

Hi:

I read a paper yesterday where their team obtained the Radial dose function, Anisotropy function of the particle source by using GATE while evaluating the radioactive seeds, and I observed their table where they evaluated the Radial dose function by varying the distance from the detector to the source and recording the absorbed dose of the detector at different locations. In addition, they vary the distance from the detector to the source and also vary the polar angle of the detector with respect to the source, from 0° to 90°.

In the introduction part of their paper, they exemplify the formulas for these functions in detail, but to be honest I didn’t understand them.

I would like to know if I can prove my experiment by the data collected by different detectors after selecting the right position to place the detectors like the graphs in the paper, instead of calculating by functions.

Thank you all for your answers.
Fardi 和 Taherparvar - 2019 - A Monte Carlo investigation of the dose distributi.pdf (956.5 KB)