### What is Half-Life?

If you are outside of the medical field, the term half-life may conjure thoughts of radioactivity or carbon dating. Within the medical field, half-life tells us the time that the body must have to remove half of the drug. For many long-term medications, doctors need to establish an equilibrium level of drugs - a plateau where the intake of the drug matches the elimination. We term this level, steady state.

What can a medication’s half-life tell us? Beyond the body’s time to remove half the drug, it conveys the time to steady state, time for functional drug elimination, and residual drug elimination times to name a few. While exact individual times vary, clinically we apply averages mathematically to our patients. This makes things easy as long as we remember the rules.

### Podcast: Free Audio File

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Podcast: The Half-Life Rule of Five

Length: 5 min 05 seconds

Written and read by the author

### The time to Steady State cannot be altered

The time to Steady State cannot be altered. This means that dumping higher or more frequent doses does not shorten your time to steady state. It remains a relationship between the body and the drug’s half-life. To keep things simple, remember the Rule of Five: it takes five half-lives to reach steady state and functional elimination. So, if you take a drug’s half-life, say 9.6 hours, and multiply it by 5, then 48 hours is the time for both steady state and drug elimination. How is this possible? Well with steady state, you assume that we are dosing the patient at regular intervals going forward and for elimination, we have discontinued therapy. In this way, the timing gives us two landmark times depending upon the context of the situation.

So, what does that mean to you? Well, if you are taking a drug twice daily and it has a half-life of 9.6 hours, then it will take two days for your body to reach the plateau – the level that will be maintained going forward throughout your treatment period. After two days, you can assume that this will be how you will feel during the rest of your treatment course. On the other hand, let’s assume you are having an adverse effect from the drug so you stop the medication. How long will the drug be having functional effects on you? Again, two days – assuming all things are equal.

### Let's do some fun calculations!

To be clear, the Rule of Five allows for an easy “down and dirty” calculation. For individual drugs, the Rule of Five provides a functional framework but by no means represents an absolute. Every drug differs. Speaking once again in generalities, most drugs take four to five half-lives to reach steady state and five to seven half-lives for functional elimination.

Often, we wonder how many doses we need to reach steady state. All you need to do is to multiply the half-life by five and then divide that time by the dosing frequency. It is easier than it may sound. Example 1: you take a drug twice daily. The half-life is 12 hours. 12 hours x 5 is 60 hours. Since you are taking the medication every 12 hours, then after 5 doses you will be at steady state. Another example? Your drug half-life is 10 days, but you only take the drug once a month. At 50 days, you reach steady state, a time just before your third dose. The first dose would be at day zero, the second at day 30 and the third would occur ten days after you reached steady state. Last example, you take a drug once a day and it has a short half-life of 4 hours. In this example, you will be at steady state by the time you take your second dose. Easy right?

### You never actually reach Steady State or Elimination

In today’s age, residual drug levels also concern us. How long will this drug be in me? In my pet? Here, we employ the Rule of Twenty. At twenty half-lives, the body should have removed most all trace residues of the compound. This is especially germane with food animals. In an absolute world, when you lose only half of a substance each interval, you never actually reach steady state or full elimination, as each stretch towards infinity. Since, we as biological organisms do not live into infinity, the argument becomes moot on a practical level. It is fun to think about though.

### References and Further Reading

- Ito, S. (2011). Pharmacokinetics 101. Paediatrics & Child Health, 16(9), 535–536. https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3223885/
- Half-Life Calculator. (n.d.). Retrieved September 03, 2017, from http://www.1728.org/halflife.htm1728 Software Systems

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