Predominant t½ [Design Issues]
Hi Mittyri,
I agree with what ElMaestro and Angus wrote. Essentially it is very simple: Assuming that you sample long enough – what you “see” in the terminal’ phase is always driven (but not identical to) the slowest process. For IR it is likely elimination (sometimes also redistribution from a deep compartment) and for CR it may be absorption.
Think about a simple one-compartment model, po administration. In a mathematical sense the two rate constants are not identifiable. You only assume that ka > kel. You can only be sure once you have administered the drug iv. Have a look at this presentation, slide 19. I simulated a true elimination of eight hours (iv, yellow line). Hey, it’s easy to create new formulations on the desk! I started with an IR (absorption t½ one hour) and slowed it down gradually. Once we have ka = kel we enter flip-flop PK. Not so evident in the linear plot but the lin/log-plot is interesting. As long as ka > kel we get an unbiased estimate of the elimination (the lines are only shifted to the right; same slope). In the flip-flop any beyond absorption drives the process.
Another nice observation: If we chance the absorption and keep elimination constant, the curves intersect the iv-curve at their respective tmax/Cmax. Of course, AUC∞ is identical.
Now see the next slide. Until we reach flip-flop PK, AUC∞ is practically unbiased. Some bias creeps in afterwards. Truncated AUC will not work any more – that’s why the MR-GL tells us for CR forms AUC72 is not acceptable as the only metric for extent of BA (like for IR and DR).
But – slide 22: If you have ka ≪ kel, the (still ongoing) absorption might be interrupted if the formulation leaves the GIT. Shit happens sometimes with matrix forms and osmotic pumps…
The predominant (i.e., relevant) one. I don’t know your formulation.
I agree with what ElMaestro and Angus wrote. Essentially it is very simple: Assuming that you sample long enough – what you “see” in the terminal’ phase is always driven (but not identical to) the slowest process. For IR it is likely elimination (sometimes also redistribution from a deep compartment) and for CR it may be absorption.
Think about a simple one-compartment model, po administration. In a mathematical sense the two rate constants are not identifiable. You only assume that ka > kel. You can only be sure once you have administered the drug iv. Have a look at this presentation, slide 19. I simulated a true elimination of eight hours (iv, yellow line). Hey, it’s easy to create new formulations on the desk! I started with an IR (absorption t½ one hour) and slowed it down gradually. Once we have ka = kel we enter flip-flop PK. Not so evident in the linear plot but the lin/log-plot is interesting. As long as ka > kel we get an unbiased estimate of the elimination (the lines are only shifted to the right; same slope). In the flip-flop any beyond absorption drives the process.
Another nice observation: If we chance the absorption and keep elimination constant, the curves intersect the iv-curve at their respective tmax/Cmax. Of course, AUC∞ is identical.
Now see the next slide. Until we reach flip-flop PK, AUC∞ is practically unbiased. Some bias creeps in afterwards. Truncated AUC will not work any more – that’s why the MR-GL tells us for CR forms AUC72 is not acceptable as the only metric for extent of BA (like for IR and DR).
But – slide 22: If you have ka ≪ kel, the (still ongoing) absorption might be interrupted if the formulation leaves the GIT. Shit happens sometimes with matrix forms and osmotic pumps…
❝ Which type of halflife should be used for washout calculation?
The predominant (i.e., relevant) one. I don’t know your formulation.

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Dif-tor heh smusma 🖖🏼 Довге життя Україна!
![[image]](https://static.bebac.at/pics/Blue_and_yellow_ribbon_UA.png)
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Complete thread:
- Prolonged release: sampling time and washout calculation mittyri 2014-12-21 17:52
- Prolonged release: sampling time and washout calculation ElMaestro 2014-12-21 20:38
- Prolonged release: sampling time and washout calculation AngusMcLean 2014-12-21 23:00
- Predominant t½Helmut 2014-12-22 02:43
- Prolonged release: updated data mittyri 2014-12-28 16:37
- Prolonged release: updated data ElMaestro 2014-12-28 17:23
- Prolonged release: updated data mittyri 2014-12-29 07:57
- Prolonged release: updated data AngusMcLean 2014-12-29 00:00
- Prolonged release: washout mittyri 2014-12-29 08:32
- Prolonged release: washout AngusMcLean 2014-12-29 15:29
- Prolonged release: thanks mittyri 2014-12-29 21:11
- Prolonged release: washout AngusMcLean 2014-12-29 15:29
- Prolonged release: washout mittyri 2014-12-29 08:32
- Prolonged release: updated data ElMaestro 2014-12-28 17:23
- Prolonged release: updated data mittyri 2014-12-28 16:37
