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I'm trying to calculate the level of testosterone released from different testosterone esters. Here are some graphs of testosterone levels after single injections of 250mg of each ester.

Testo U http://postimg.org/image/lgbdkvxj7/

Testo B http://s15.postimg.org/71alt4yyz/testob.jpg

Each ester have a specific half life. e.g. testo e have an half life of 4.5 days. testo b 29.5 testo u 20.9

After an injection of an ester, there will be a specific amount in your body. say 250mg.

Those 250mg will follow a normal half life curve for that ester. And I know how to calculate that. However, when the ester is reduced, the testosterone bound to it will be released.

So over time , more testo will be released from the ester, and the testosterone itself have some sort of half life I assume.

Not doing drugs here ;) working on a medical app.

(sorry for the homework tag but I have no clue what this goes under..)

Nate Eldredge
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Roger Johansson
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  • Sounds like you want a coupled system of ordinary differential equations. – Nate Eldredge Jul 11 '13 at 11:51
  • Why not migrate to chemistry.se??? In any case, see this link page 12 of the PDF is the set of ODEs (rather the solutions thereto) that you are looking for. – bobthechemist Jul 11 '13 at 12:41
  • @bobthechemist: page 12 contains the solutions of the coupled, reversible rate equations. Given what is going on here (where I do not see reversibility, but I could be wrong), I think the relevant equation is Eq. (8) on Page 6. – Ron Gordon Jul 11 '13 at 12:51
  • @RonGordon You are right. I am interpreting the OP's statement "when the ester is reduced, the testosterone bound to it will be released" as a reversible process and dependent on both the concentration of free and unbound testosterone. – bobthechemist Jul 11 '13 at 12:58
  • So if I have the A(t) formula, and A0 (start value of A?) what do I need to do to get B(t) ? #math-impaired – Roger Johansson Jul 11 '13 at 16:17

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