Estimate the exponential decay of a drug in the body by just providing the dosage and the half-life of the drug to the calculator.
Use the drug half life calculator to determine the amount of a drug still present in a patient's body when half time and dosage are known.
The half life of a drug is the estimation of the time that the amount of a drug takes to be reduced by one-half. The symbol t1/2 is used for the half-life.
The formula that is used to find the half life of drug is as follows:
\(\ Dosage(t) =\ Dosage(0)\times\ 0.5^{(\frac{t}{T})}\)
Where
Go through the steps outlined below:
Suppose you have the following values:
Find the half life?
Solution:
Convert Grams to milligrams:
\(\ Dosage =\ 10\ \times\ 1000 =\ 10000\ mg\)
Put the given values in the half life drugs formula:
\(\ Dosage(t) =\ Dosage(0)\times\ 0.5^{(\frac{t}{T})}\)
\(\ Dosage(t) =\ 10000\ mg\times\ 0.5^{(\frac{1}{1})}\)
\(\ Dosage(t) = 5000\ mg\)
In the following table, we have mentioned some most commonly used substances and their half life.
Generic Name | Brand Name Examples | Half-life (T1/2*) |
Alprazolam | Xanax | 6-12 hours |
Amiodarone | Pacerone | 15-142 days |
Amphetamine | Adderall, Dexedrine | 10-12 hours |
Atenolol | Tenormin | 6-7 hours |
Clonazepam | Klonopin | 18-50 hours |
Cocaine | - | 50 minutes |
Diazepam | Valium | 20-100 hours |
Donepezil | Aricept | 70 hours |
Dutasteride | Avodart | 5 weeks |
Erenumab | Aimovig | 28 days |
Fluoxetine | Prozac | 2-4 days |
Lead | - | 28-36 days |
Mercury | - | 65 days |
Methamphetamine | Desoxyn | 6.4-15 hours |
Methylphenidate | Concerta, Ritalin | 2-3 hours |
Plutonium | - | 40 years (liver), 100 years (bone) |
Phenytoin | Dilantin, Phenytek | 7-42 hours |
Tetrahydrocannabinol (cannabis/marijuana) | - | Infrequent users: 1.3 days Regular users: 13 days |
No, The time that the drug takes to be eliminated from the body is the half life while the drug duration is the total time the drug remains inside the body.
A drug approximates takes 4 to 5 half lives to be eliminated from the body. When 4 to half-lives are passed the amount of the drug goes below the clinically relevant concentration and is normally considered eliminated. If you double the amount the elimination time also increases.
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