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Pharmacokinetics basics for the DHA pharmacist exam: half-life, steady state, clearance and loading doses

For pharmacists4 min read

By Meddex editorial team4 min readFor your profession

Short answer: Pharmacokinetics for the DHA pharmacist exam rests on four ideas: volume of distribution sets the loading dose, clearance sets the maintenance dose, half-life equals 0.693 times volume divided by clearance, and steady state takes about five half-lives. Learn the four formulas, then practise with units written down.

Where this sits in the exam

DHA’s guideline lists pharmacokinetics as one of fourteen content areas for a Pharmacist, and the Pharmacy Technician list includes it too. DHA publishes no weights, so we cannot say how many questions use it. Clinical pharmacology and therapeutic decision making is a separate area, and both draw on the ideas below.

Meddex is independent and is not connected to the Dubai Health Authority (DHA) or Prometric.

This is exam-preparation revision, not clinical advice. In practice, follow your own organisation’s policies, the product label and the current guideline, and check every dose and threshold against them.

The four ideas

Almost every pharmacokinetics question can be solved with these relationships, all for first-order elimination.

  • Loading dose equals volume of distribution times target concentration, divided by bioavailability for non-intravenous doses.
  • Maintenance dose rate equals clearance times target steady-state concentration, divided by bioavailability for oral doses.
  • Half-life equals 0.693 times volume of distribution divided by clearance.
  • Steady state is reached after about four to five half-lives, whatever the dose.

What the terms mean in plain words

Volume of distribution is the apparent volume that would hold the drug at the measured concentration. A drug that spreads widely into tissue has a large value. Clearance is the volume of blood cleared of drug in a given time, usually litres per hour. Bioavailability, written F, is the fraction of an oral dose that reaches the circulation. The elimination rate constant k equals 0.693 divided by half-life, and k also equals clearance divided by volume.

Write the unit beside every number. Litres, litres per hour and milligrams per litre cancel in a way that tells you if a formula is right.

Example 1: half-life from clearance and volume

Example, written by Meddex with an invented drug. A 70 kg patient has a volume of distribution of 0.5 L per kg, which is 35 L, and a clearance of 4 L per hour. Half-life is 0.693 times 35 divided by 4, which is 6.06, so about 6 hours.

Example 2: how long to steady state

Using the same drug, steady state arrives in about five half-lives, which is 5 times 6, or 30 hours. After one half-life the concentration has fallen by half. After two half-lives, 12 hours here, 25 percent of the starting amount remains. This is why a drug with a long half-life can take days to show its full effect and days to wear off.

Example 3: a loading dose

Example, written by Meddex. The target concentration is 10 mg per L and the dose is given intravenously, so bioavailability is 1. Loading dose is 35 L times 10 mg per L, which is 350 mg. A loading dose fills the volume quickly. It does not depend on clearance, which is a common trap.

Example 4: a maintenance dose by mouth

Example, written by Meddex. Target steady-state concentration is 10 mg per L and clearance is 4 L per hour, so the dose rate is 40 mg an hour, or 960 mg a day. If oral bioavailability is 0.8, divide by 0.8 to get 1200 mg a day. As two doses that is 600 mg twice a day. Check that you divided by F, not multiplied.

Example 5: what changes when clearance falls

Example, written by Meddex. In kidney impairment, clearance of a drug that is mainly renally cleared halves to 2 L per hour. Half-life doubles to about 12 hours, the maintenance dose rate to hold the same concentration halves to 20 mg an hour, and steady state takes about 60 hours. The loading dose does not change, because volume of distribution has not changed. Drugs for which this matters in practice include digoxin, lithium and gentamicin, which have narrow margins and are monitored.

First-order and zero-order, and other traps

Most drugs follow first-order kinetics, where a constant fraction is removed per unit time. A few, such as phenytoin at higher doses and ethanol, saturate their enzymes so that a constant amount is removed per unit time, and a small dose increase can cause a large rise in concentration. Enzyme inducers such as rifampicin and carbamazepine lower the concentration of some drugs, and inhibitors such as clarithromycin and ketoconazole raise them. For monitored drugs, a trough sample is taken just before the next dose.

How to practise

Make your own invented drug, change one number at a time and predict what happens before you calculate. Then try the pharmacist calculation and counselling examples, and read the DHA exam for pharmacists page for the fourteen official areas. The study plan on this site gives these topics a week of their own.

Frequently asked questions

This article is general educational guidance, not official advice. Exam rules, fees and timelines are set by the Dubai Health Authority and the test provider and can change, so always confirm the latest details on their official channels. Review of Meddex content by named, licensed clinicians is not complete yet. See how we write and check our content.

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