Volume of Distribution given Elimination Half Life Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Distribution = (Volume of Plasma Cleared*Elimination Half Life)/ln(2)
Vd = (CL*tb/2)/ln(2)
This formula uses 1 Functions, 3 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
Volume of Distribution - (Measured in Cubic Meter) - The Volume of Distribution is the parameter relating drug concentration in plasma to drug amount in the body.
Volume of Plasma Cleared - (Measured in Cubic Meter per Second) - The Volume of Plasma Cleared is defined as the amount of plasma cleared of the drug per unit of time.
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.
STEP 1: Convert Input(s) to Base Unit
Volume of Plasma Cleared: 0.48 Liter per Second --> 0.00048 Cubic Meter per Second (Check conversion ​here)
Elimination Half Life: 12 Second --> 12 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vd = (CL*tb/2)/ln(2) --> (0.00048*12)/ln(2)
Evaluating ... ...
Vd = 0.00830992343552043
STEP 3: Convert Result to Output's Unit
0.00830992343552043 Cubic Meter -->8.30992343552043 Liter (Check conversion ​here)
FINAL ANSWER
8.30992343552043 8.309923 Liter <-- Volume of Distribution
(Calculation completed in 00.004 seconds)

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Volume of Distribution Calculators

Volume of Distribution of Drug Displacing into Body Tissue Relative to Blood
​ LaTeX ​ Go Volume of Distribution = Plasma Volume+(Apparent Tissue Volume*(Fraction Unbound in Plasma/Fraction Unbound in Tissue))
Volume of Distribution given Elimination Half Life
​ LaTeX ​ Go Volume of Distribution = (Volume of Plasma Cleared*Elimination Half Life)/ln(2)
Volume of Distribution given Area under Curve
​ LaTeX ​ Go Volume of Distribution = Dose/(Elimination Rate Constant*Area Under Curve)
Volume of Distribution given Volume of Plasma Cleared
​ LaTeX ​ Go Volume of Distribution = Volume of Plasma Cleared/Elimination Half Life

Volume of Distribution given Elimination Half Life Formula

​LaTeX ​Go
Volume of Distribution = (Volume of Plasma Cleared*Elimination Half Life)/ln(2)
Vd = (CL*tb/2)/ln(2)

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 Volume of Distribution given Elimination Half Life?

Volume of Distribution given Elimination Half Life calculator uses Volume of Distribution = (Volume of Plasma Cleared*Elimination Half Life)/ln(2) to calculate the Volume of Distribution, The Volume of distribution given elimination half life formula is defined as the direct relation with the product of the volume of plasma cleared of the drug per unit time and time required for the concentration of the drug to reach half of its original value. Volume of Distribution is denoted by Vd symbol.

How to calculate Volume of Distribution given Elimination Half Life using this online calculator? To use this online calculator for Volume of Distribution given Elimination Half Life, enter Volume of Plasma Cleared (CL) & Elimination Half Life (tb/2) and hit the calculate button. Here is how the Volume of Distribution given Elimination Half Life calculation can be explained with given input values -> 8309.923 = (0.00048*12)/ln(2).

FAQ

What is Volume of Distribution given Elimination Half Life?
The Volume of distribution given elimination half life formula is defined as the direct relation with the product of the volume of plasma cleared of the drug per unit time and time required for the concentration of the drug to reach half of its original value and is represented as Vd = (CL*tb/2)/ln(2) or Volume of Distribution = (Volume of Plasma Cleared*Elimination Half Life)/ln(2). The Volume of Plasma Cleared is defined as the amount of plasma cleared of the drug per unit of time & Elimination Half Life is the time required for the concentration of the drug to reach half of its original value.
How to calculate Volume of Distribution given Elimination Half Life?
The Volume of distribution given elimination half life formula is defined as the direct relation with the product of the volume of plasma cleared of the drug per unit time and time required for the concentration of the drug to reach half of its original value is calculated using Volume of Distribution = (Volume of Plasma Cleared*Elimination Half Life)/ln(2). To calculate Volume of Distribution given Elimination Half Life, you need Volume of Plasma Cleared (CL) & Elimination Half Life (tb/2). With our tool, you need to enter the respective value for Volume of Plasma Cleared & Elimination Half Life 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 Volume of Distribution?
In this formula, Volume of Distribution uses Volume of Plasma Cleared & Elimination Half Life. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Volume of Distribution = Volume of Plasma Cleared/Elimination Half Life
  • Volume of Distribution = Dose/(Elimination Rate Constant*Area Under Curve)
  • Volume of Distribution = Plasma Volume+(Apparent Tissue Volume*(Fraction Unbound in Plasma/Fraction Unbound in Tissue))
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