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Conventional radiotherapy attempts to kill cancerous tumours with a dose of X-rays. Unfortunately, a significant dose is also delivered to surrounding tissues and organs. In contrast, particles with a non-zero mass, such as protons and heavy ions, deliver a dose of radiation according to something called a Bragg peak. As a consequence, proton therapy and heavy ion radiotherapy offer a more precise tool for the treatment of cancer.
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In this context, it is worth noting that in the US, 66.3 per cent of men and 62.9 per cent of women have a five-year cancer survival rate, whilst in Europe the survival rate is 47.3 per cent for men and 55.8 per cent for women (Eurocare statistics).
As a technical aside, MCNP is an interesting type of simulation because it represents particle interactions as a type of probabilistic billiards. Rather than evolving a quantum mechanical wave-function, particles are given determinate particle tracks between collisions, but the interactions are probabilistic. The distance between collisions is probabilistically selected, the nature of the interaction is probabilistically selected, and the outcome of a collision, (the direction and energy of an outgoing particle, for example) is selected according to the quantum mechanical cross-sections. (In quantum theory, the probability of an interaction is specified by something called a cross-section; the greater the cross-section, the greater the probability).
For an introduction to these issues, my own paper on the subject, Dosimetry, Scattering theory, and Monte Carlo simulation, might be of some assistance.