(adsbygoogle = window.adsbygoogle || []).push({}); I am doing some MC modelling on tumour growth and radiotherapy treatment modelling and would like to know:Dear Fellow mathematicians and Physicists,

Who out there would agree (or suggest alternatives) to the theroy that the chance of a cell being damaged/hit with radiation (and therefore perhaps dying depending on other parameters) may be described by the bionomial distribution?

Background:

1. Let's say that we have1000cells, andkphotons will be fired at them

2. Let's also say that a cell will dye if hit2or more times (simplistic for now!)

3. I need the number of cells that are hit only 0 or 1 times to be46%of the total

Can I use the bionomial distribution to work out how may photons that would take (integrating to find the area under the curve to obtain the number of phtotons necessary to achieve point 2.?)

I believe we can think about it as a dice with1000number sides.

If we roll the dicektimes and take the histogram of the number of times each side came up, then the system is the same as the cell/photon set up...WHAT DO YOU THINK???

Thanks, and write back if you don't understand what I am trying to say

Wendy

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# Binomial distribution - killing cells with x-rays

## Does the question make sense, and are there any other medical physicists out there?

Poll closed Jun 17, 2006.

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