Understanding Half-Life

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PharmaBurger

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Hello all. I would like to ask all the experts here a question regarding half-life. I understand the straight-forward math equation involved:

Half Life of a Medication = 6 hours.
50% remains in the system at 6 hours.
Divide that by two at 12 hours.
And so forth until zero.

But what happens when the numbers overlap at the next dose?

Say the individual takes 100mg of the medication every 12 hours. With an 6 hour half life you are still going to have 25mg in the body at 12 hours. Then you take another 100mg.

Does the clock then reset, at 125mg? Reducing to 62.5 after 6 hours? And 31.2 after 12 hours?

Only to take another dose, resulting in 131.2 in the body? And so forth ... ?

If this is not how it works, could you tell me why?

Lastly, when I think of some antibiotics which are taken for 5 days, and the doctor always states that it continues to "work" for 7 to 10 days, I assume this is because of the same phenomenon. Half life is aggregate.

True or False?
 
ssplot.jpg
 
Could that graph be converted into words, and could the questions I asked be specifically responded to? I apologize for being high maintenance. The graph doesn't give me a clear answer to the questions I posed.

Thanks.
 
I am a little rusty, but I seem to recall that at steady state the amount of drug being eliminated is roughly in balance with the amount being absorbed, hence not every dose is additive - it doesn't just keep building and building indefinitely.

Maybe someone else wants to chime in and help our friend here who clearly is not asking for us to do his homework for him?
 
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