The distribution of radiation in three‐dimensional (3D) heterogeneous geometry is governed by the Boltzmann transport equation. In general, it does not have analytic solutions, and therefore one has to rely on numerical methods.
Monte Carlo simulation is probably the most accurate numerical method for such problems. It uses random sampling techniques to simulate various physical events. In radiation therapy, the most commonly used radiations are photons and electrons with energies up to 20 MeV. The geometry can be the machine that produces the radiation or the 3D images of the patient under treatment. In a Monte Carlo calculation for radiation therapy treatment planning, radiation particles are generated and tracked through various components in the machine head and followed into the patient body, inside of which the relevant physical events are simulated and energy deposited.
Several examples are given to illustrate the application of Monte Carlo calculations in radiation therapy treatment planning. These include the calculation of beam characteristics by simulating the machine head, and dose calculations in patient for photon and electron beams.