Medical What are the equations for ionisation density and range in cancer treatment?

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The discussion centers on the relationship between ionization density in the body and various physical parameters. It highlights that ionization density is directly proportional to the square of the charge and inversely proportional to the square of the speed. Additionally, it mentions that the range of particles with the same velocity is proportional to mass and inversely proportional to charge. However, it notes that exact equations for these relationships are often not available, with most solutions being approximate or numerical rather than closed form.
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Hi, i was reading a book that said that the ionisation density in the body is directly proportional to the square of the charge and inversely proportional to the square of the speed and also that the range (for a particles of the same velocity) is is proportional to the mass, and inversely proportional to the charge. Can anyone tell me what the exact equations are? i can't find them anywhere :(

thanks, Avril
 
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For most of them, there are no closed form solutions, just approximate or numerical solutions.
 

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