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Volume of Distribution given Area under Curve Formula

GoVolume of Distribution given Volume of Plasma Cleared Formula

GoVolume of Distribution given Elimination Half Life Formula

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The Volume of Distribution is the parameter relating drug concentration in plasma to drug amount in the body. Check FAQs

V d = \frac{D}{k e \cdot AUC}

V_d - Volume of Distribution?D - Dose?k_e - Elimination Rate Constant?AUC - Area Under Curve?

Volume of Distribution given Area under Curve Example

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Here is how the Volume of Distribution given Area under Curve equation looks like with Values.

Here is how the Volume of Distribution given Area under Curve equation looks like with Units.

Here is how the Volume of Distribution given Area under Curve equation looks like.

376175.5486 = \frac{8}{0.058 \cdot 1.32}

376175.5486L = \frac{8mol}{0.058h⁻¹ \cdot 1.32mol*s/L}

376175.5486 = \frac{8}{0.058 \cdot 1.32}

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Volume of Distribution » fx Volume of Distribution given Area under Curve

Volume of Distribution given Area under Curve Solution

Follow our step by step solution on how to calculate Volume of Distribution given Area under Curve?

FIRST Step Consider the formula

V d = \frac{D}{k e \cdot AUC}

Next Step Substitute values of Variables

∴

V d = \frac{8mol}{0.058h⁻¹ \cdot 1.32mol*s/L}

Next Step Convert Units

∴

V d = \frac{8mol}{1.6E-5s⁻¹ \cdot 1320mol*s/m³}

Next Step Prepare to Evaluate

∴

V d = \frac{8}{1.6E-5 \cdot 1320}

Next Step Evaluate

∴

V d = 376.175548589342m³

Next Step Convert to Output's Unit

∴

V d = 376175.548589342L

LAST Step Rounding Answer

∴

V d = 376175.5486L

Volume of Distribution given Area under Curve Formula Elements

Variables

Volume of Distribution

The Volume of Distribution is the parameter relating drug concentration in plasma to drug amount in the body.

Symbol: V_d

Measurement: VolumeUnit: L

Note: Value can be positive or negative.

Formulas to find Volume of Distribution

Dose

The Dose is the amount of drug administered.

Symbol: D

Measurement: Amount of SubstanceUnit: mol

Note: Value can be positive or negative.

Formulas to find Dose

Elimination Rate Constant

Elimination Rate Constant is the rate at which a drug is removed from the body.

Symbol: k_e

Measurement: First Order Reaction Rate ConstantUnit: h⁻¹

Note: Value should be greater than 0.

Formulas to find Elimination Rate Constant

Area Under Curve

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.

Symbol: AUC

Measurement: Concentration Time CoefficientUnit: mol*s/L

Note: Value can be positive or negative.

Formulas to find Area Under Curve

Other Formulas to find Volume of Distribution

Go Volume of Distribution given Volume of Plasma Cleared

V d = \frac{CL}{t b/2}

Go Volume of Distribution given Elimination Half Life

V d = \frac{CL \cdot t b/2}{\ln (2)}

Go Volume of Distribution of Drug Displacing into Body Tissue Relative to Blood

V d = V P + (V T \cdot (\frac{fu}{fu t}))

Other formulas in Volume of Distribution category

Go Volume of Distribution in Clearance of Drug

V d = \frac{K}{CL}

How to Evaluate Volume of Distribution given Area under Curve?

Volume of Distribution given Area under Curve evaluator uses Volume of Distribution = Dose/(Elimination Rate Constant*Area Under Curve) to evaluate 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 evaluate Volume of Distribution given Area under Curve using this online evaluator? To use this online evaluator 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.

FAQs on Volume of Distribution given Area under Curve

What is the formula to find Volume of Distribution given Area under Curve?

The formula of Volume of Distribution given Area under Curve is expressed as Volume of Distribution = Dose/(Elimination Rate Constant*Area Under Curve). Here is an example- 3.8E+8 = 8/(1.61111111111111E-05*1320).

How to calculate Volume of Distribution given Area under Curve?

With Dose (D), Elimination Rate Constant (k_e) & Area Under Curve (AUC) we can find Volume of Distribution given Area under Curve using the formula - Volume of Distribution = Dose/(Elimination Rate Constant*Area Under Curve).

What are the other ways to Calculate Volume of Distribution?

Here are the different ways to Calculate Volume of Distribution-

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))

Can the Volume of Distribution given Area under Curve be negative?

Yes, the Volume of Distribution given Area under Curve, measured in Volume can be negative.

Which unit is used to measure Volume of Distribution given Area under Curve?

Volume of Distribution given Area under Curve is usually measured using the Liter[L] for Volume. Cubic Meter[L], Cubic Centimeter[L], Cubic Millimeter[L] are the few other units in which Volume of Distribution given Area under Curve can be measured.

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Volume of Distribution given Area under Curve Formula

​GoVolume of Distribution given Volume of Plasma Cleared Formula

​GoVolume of Distribution given Elimination Half Life Formula

Volume of Distribution given Area under Curve Example

Volume of Distribution given Area under Curve Solution

Volume of Distribution given Area under Curve Formula Elements

Other Formulas to find Volume of Distribution

Other formulas in Volume of Distribution category

How to Evaluate Volume of Distribution given Area under Curve?

FAQs on Volume of Distribution given Area under Curve

Variable Name

GoVolume of Distribution given Volume of Plasma Cleared Formula

GoVolume of Distribution given Elimination Half Life Formula