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

[lavster]

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

 

[NeoDevin]

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