In this calc, we will completely eliminate time corrections from consideration. This may actually be reasonable for very slowly dividing, very large T
pot tumors.
There is, kind of, radiobiological clinical precedent of very small fraction prostate radiotherapy: that’s brachytherapy. If we assume that I-125 has a half life of 60 days, and thus has a useful life of ~90 days, we can break the 145 Gy Rx dose into 90 days of TID doses of 0.5Gy per “fraction,” which comes out to 135 Gy. That is to say, I can enforce a radiobiological similarity between brachy 145 Gy using I-125 and 90 continuous days of 0.5 Gy per fraction, three-times-a-day RT (like CHART in lung) w/ 8h interfraction intervals, and the clinical outcomes should be very similar.
I already pre-established I’m ignoring time.
If that’s the case, we can just say 270 fractions of 0.5 Gy. Again, completely ignoring time, we can break this into 0.5 Gy per day/fraction over 54 weeks.
Therefore, we could maybe run a rational trial of 270 fractions of 0.5 Gy/day over 54 weeks vs e.g. 81 Gy/45 fractions over 9 weeks. Interestingly, the alpha/beta that would make these two regimens similar is: 1.45.
And as we all know, a prostate alpha/beta of 1.45 is quite a very reasonable and nice result that we actually just “accidentally” derived by trying to adjust very long fractionation to be normative w/ brachy and 81/45. Unfortunately, we would predict late tissue effects to be 20 to 25% higher w/ 135 Gy over 54 weeks. The reimbursement per patient w/ 270 fractions would be beyond the dreams of avarice.