Elimination Half Life of Drug Calculator

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Elimination Rate Constant

Area under curve

Steady state Concentration

Volume of Distribution

Volume of plasma cleared

✖Elimination Rate Constant is the rate at which a drug is removed from the body.ⓘ Elimination Rate Constant [k_e]

+10%

-10%

✖Elimination Half Life is the time required for the concentration of the drug to reach half of its original value.ⓘ Elimination Half Life of Drug [t_b/2]

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Formula

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Elimination Half Life of Drug

Formula

`"t"_{"b/2"} = ln(2)/"k"_{"e"}`

Example

`"43022.93s"=ln(2)/"0.058h⁻¹"`

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Download Pharmacokinetics Formula PDF

Elimination Half Life of Drug Solution

STEP 0: Pre-Calculation Summary

Formula Used

Elimination Half Life = ln(2)/Elimination Rate Constant
t_b/2 = ln(2)/k_e
This formula uses 1 Functions, 2 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Elimination Half Life - (Measured in Second) - Elimination Half Life is the time required for the concentration of the drug to reach half of its original value.
Elimination Rate Constant - (Measured in 1 Per Second) - Elimination Rate Constant is the rate at which a drug is removed from the body.

STEP 1: Convert Input(s) to Base Unit

Elimination Rate Constant: 0.058 1 Per Hour --> 1.61111111111111E-05 1 Per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_b/2 = ln(2)/k_e --> ln(2)/1.61111111111111E-05

Evaluating ... ...

t_b/2 = 43022.9284485484

STEP 3: Convert Result to Output's Unit

43022.9284485484 Second --> No Conversion Required

FINAL ANSWER

43022.9284485484 ≈ 43022.93 Second <-- Elimination Half Life

(Calculation completed in 00.004 seconds)

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K J Somaiya College of science (K J Somaiya), Mumbai

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< 6 Elimination Rate Constant Calculators

Total Clearance of Body

Go Total Clearance = Hepatic Clearance+Renal Clearance for Total+Pulmonary Clearance+Other Clearance

Elimination Half Life given Volume of Plasma Cleared

Go Elimination Half Life = (ln(2)*Volume of Distribution)/Volume of Plasma Cleared

Elimination Rate Constant given Area under Curve

Go Elimination Rate Constant = Dose/(Area Under Curve*Volume of Distribution)

Elimination Rate Constant given Volume of Plasma Cleared

Go Elimination Rate Constant = Volume of Plasma Cleared/Volume of Distribution

Elimination Rate Constant of Drug

Go Elimination Rate Constant = ln(2)/Elimination Half Life

Elimination Half Life of Drug

Go Elimination Half Life = ln(2)/Elimination Rate Constant

Elimination Half Life of Drug Formula

Elimination Half Life = ln(2)/Elimination Rate Constant
t_b/2 = ln(2)/k_e

What is Pharmacokinetics?

Pharmacokinetics is a branch of pharmacology dedicated to determine the fate of substances administered to a living organism. The substances of interest include any chemical xenobiotic such as: pharmaceutical drugs, pesticides, food additives, cosmetics, etc. It attempts to analyze chemical metabolism and to discover the fate of a chemical from the moment that it is administered up to the point at which it is completely eliminated from the body. Pharmacokinetics is the study of how an organism affects a drug, whereas pharmacodynamics (PD) is the study of how the drug affects the organism. Both together influence dosing, benefit, and adverse effects, as seen in PK/PD models.

How to Calculate Elimination Half Life of Drug?

Elimination Half Life of Drug calculator uses Elimination Half Life = ln(2)/Elimination Rate Constant to calculate the Elimination Half Life, The Elimination half life of drug formula is defined as the inverse relationship with the rate at which a drug is removed from the body. Elimination Half Life is denoted by t_b/2 symbol.

How to calculate Elimination Half Life of Drug using this online calculator? To use this online calculator for Elimination Half Life of Drug, enter Elimination Rate Constant (k_e) and hit the calculate button. Here is how the Elimination Half Life of Drug calculation can be explained with given input values -> 43022.93 = ln(2)/1.61111111111111E-05.

FAQ

What is Elimination Half Life of Drug?

The Elimination half life of drug formula is defined as the inverse relationship with the rate at which a drug is removed from the body and is represented as t_b/2 = ln(2)/k_e or Elimination Half Life = ln(2)/Elimination Rate Constant. Elimination Rate Constant is the rate at which a drug is removed from the body.

How to calculate Elimination Half Life of Drug?

The Elimination half life of drug formula is defined as the inverse relationship with the rate at which a drug is removed from the body is calculated using Elimination Half Life = ln(2)/Elimination Rate Constant. To calculate Elimination Half Life of Drug, you need Elimination Rate Constant (k_e). With our tool, you need to enter the respective value for Elimination Rate Constant and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Elimination Half Life?

In this formula, Elimination Half Life uses Elimination Rate Constant. We can use 1 other way(s) to calculate the same, which is/are as follows -

Elimination Half Life = (ln(2)*Volume of Distribution)/Volume of Plasma Cleared

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