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A beam data modelling algorithm was developed by solving the linear Boltzmann Transport Equation (BTE). The Linear Boltzmann Transport Equation (LBTE) is a form of the Boltzmann transport equation that assumes that radiation particles only interact with the matter as they are passing through matter and not with each other. This condition is only valid when there is no external magnetic field. The numerical method proposed by Lewis et al., [9] was used to solve the LBTE. A programming code was computed for the LBTE and run on CMS XiO treatment planning system to generate beam data, the generated beam data were compared to experimentally determined data. The calculated percentage depth dose (PDD) completely overlap the measured PDDs for the small field sizes while there is a shift in the PDD tail for large field size. However the shift is negligible. For the wedge PDDs, the shift between the measured PDDs and the calculated occurs at the Dmax region and it increases with increase in field size. The calculated wedge profiles have a slight shift at the shoulder compared to the measured ones and this decreases with increase in field size, unlike the PDDs. There is also a slight shift between calculated in-plane profiles and measured ones. There is a good agreement between the measured beam data and the calculated ones using the algorithm. This algorithm can be implemented as an in-house algorithm for beam data modelling and also as an independent quality assurance tool for checking the accuracy of clinical TPS algorithms with regards to beam data modelling during quality assurance and TPS commissioning tests.

Simulation of the Linear Boltzmann Transport Equation in Modelling Of Photon Beam Data