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Volume of Distribution given Area under Curve Calculator

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✖The Dose is the amount of drug administered.ⓘ Dose [D]			+10% -10%
✖Elimination Rate Constant is the rate at which a drug is removed from the body.ⓘ Elimination Rate Constant [k_e]			+10% -10%
✖Area under Curve (AUC) is the definite integral of a curve that describes the variation of a drug concentration in blood plasma as a function of time.ⓘ Area Under Curve [AUC]			+10% -10%

✖The Volume of Distribution is the parameter relating drug concentration in plasma to drug amount in the body.ⓘ Volume of Distribution given Area under Curve [V_d]

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Volume of Distribution given Area under Curve Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Distribution = Dose/(Elimination Rate Constant*Area Under Curve)
V_d = D/(k_e*AUC)
This formula uses 4 Variables

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.
Dose - (Measured in Mole) - The Dose is the amount of drug administered.
Elimination Rate Constant - (Measured in 1 Per Second) - Elimination Rate Constant is the rate at which a drug is removed from the body.
Area Under Curve - (Measured in Mole Second per Cubic Meter) - Area under Curve (AUC) is the definite integral of a curve that describes the variation of a drug concentration in blood plasma as a function of time.

STEP 1: Convert Input(s) to Base Unit

Dose: 8 Mole --> 8 Mole No Conversion Required
Elimination Rate Constant: 0.058 1 Per Hour --> 1.61111111111111E-05 1 Per Second (Check conversion here)
Area Under Curve: 1.32 Mole Second per Liter --> 1320 Mole Second per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_d = D/(k_e*AUC) --> 8/(1.61111111111111E-05*1320)

Evaluating ... ...

V_d = 376.175548589342

STEP 3: Convert Result to Output's Unit

376.175548589342 Cubic Meter -->376175.548589342 Liter (Check conversion here)

FINAL ANSWER

376175.548589342 ≈ 376175.5 Liter <-- Volume of Distribution

(Calculation completed in 00.020 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 Area under Curve Formula

LaTeX Go

Volume of Distribution = Dose/(Elimination Rate Constant*Area Under Curve)
V_d = D/(k_e*AUC)

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 Area under Curve?

Volume of Distribution given Area under Curve calculator uses Volume of Distribution = Dose/(Elimination Rate Constant*Area Under Curve) to calculate the Volume of Distribution, The Volume of Distribution given Area under Curve formula is defined as the ratio of the amount of drug administered to the elimination rate constant and area under the curve of the concentration-time graph. Volume of Distribution is denoted by V_d symbol.

How to calculate Volume of Distribution given Area under Curve using this online calculator? To use this online calculator for Volume of Distribution given Area under Curve, enter Dose (D), Elimination Rate Constant (k_e) & Area Under Curve (AUC) and hit the calculate button. Here is how the Volume of Distribution given Area under Curve calculation can be explained with given input values -> 3.8E+8 = 8/(1.61111111111111E-05*1320).

FAQ

What is Volume of Distribution given Area under Curve?

The Volume of Distribution given Area under Curve formula is defined as the ratio of the amount of drug administered to the elimination rate constant and area under the curve of the concentration-time graph and is represented as V_d = D/(k_e*AUC) or Volume of Distribution = Dose/(Elimination Rate Constant*Area Under Curve). The Dose is the amount of drug administered, Elimination Rate Constant is the rate at which a drug is removed from the body & Area under Curve (AUC) is the definite integral of a curve that describes the variation of a drug concentration in blood plasma as a function of time.

How to calculate Volume of Distribution given Area under Curve?

The Volume of Distribution given Area under Curve formula is defined as the ratio of the amount of drug administered to the elimination rate constant and area under the curve of the concentration-time graph is calculated using Volume of Distribution = Dose/(Elimination Rate Constant*Area Under Curve). To calculate Volume of Distribution given Area under Curve, you need Dose (D), Elimination Rate Constant (k_e) & Area Under Curve (AUC). With our tool, you need to enter the respective value for Dose, Elimination Rate Constant & Area Under Curve 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 Dose, Elimination Rate Constant & Area Under Curve. 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 = (Volume of Plasma Cleared*Elimination Half Life)/ln(2)
Volume of Distribution = Plasma Volume+(Apparent Tissue Volume*(Fraction Unbound in Plasma/Fraction Unbound in Tissue))

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