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NUCLEAR PHARMACY MATH

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Hi All,

Jeanetta asked me to come up with a math question pertaining to

nukes. I know that most of you measure drugs in grams and

milligrams. We measure most everything in Curies and millicuries.

The math is pretty much the same-just substitute mci for mg.

Ok, I have a concentration of technetium reading 600mci in 1ml at

0100.

I want 70 mci in a TOTAL volume of 10ml at 0700. What is the volume

of technetium I need at 0700? Tech has a half life (T1/2) of 6

hours. So, from 0100 to 0700, I've lost half my activity-i.e., I now

have 300mci in 1 ml. (600mci X 0.5=300mci).

Therefore, 1ml divided by 300=0.0033333 muliplied by xml over

70mci=0.23 ml of technetium. I WANT a total of 10 ml. So, I add

9.77 ml of 0.9% NS. (Normal saline is added to all " cold " reagents,

since the final product will be injected into the patient.)

This is just a small example of what we do. All radioactive nuclides

decay at different rates. Technetium decays at a rate of about

10%/hour. This is where you need to know decay factors or

constants. Once you've established the rate of decay, the rest is

easy. Hope this gives a little insight into my world.

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