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Area under Curve given Dose and Volume of Distribution Formula

GoArea under Curve given Volume of Plasma Cleared Formula

GoArea under Curve Given Average Plasma Concentration Formula

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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. Check FAQs

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

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

Area under Curve given Dose and Volume of Distribution Example

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

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

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

55172.4138 = \frac{8}{9 \cdot 0.058}

55172.4138mol*s/L = \frac{8mol}{9L \cdot 0.058h⁻¹}

55172.4138 = \frac{8}{9 \cdot 0.058}

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Area under Curve given Dose and Volume of Distribution Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

AUC = \frac{8mol}{9L \cdot 0.058h⁻¹}

Next Step Convert Units

∴

AUC = \frac{8mol}{0.009m³ \cdot 1.6E-5s⁻¹}

Next Step Prepare to Evaluate

∴

AUC = \frac{8}{0.009 \cdot 1.6E-5}

Next Step Evaluate

∴

AUC = 55172413.7931035mol*s/m³

Next Step Convert to Output's Unit

∴

AUC = 55172.4137931035mol*s/L

LAST Step Rounding Answer

∴

AUC = 55172.4138mol*s/L

Area under Curve given Dose and Volume of Distribution Formula Elements

Variables

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

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

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

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

Other Formulas to find Area Under Curve

Go Area under Curve given Volume of Plasma Cleared

AUC = \frac{D}{CL}

Go Area under Curve Given Average Plasma Concentration

AUC = C av \cdot Τ

Other formulas in Area under curve category

Go Area under Curve for Drug Administered Orally

AUC po = \frac{f \cdot AUC iv \cdot D po}{D iv}

Go Area under Curve for Drug Administered Intravenous

AUC iv = \frac{AUC po \cdot D iv}{f \cdot D po}

Go Area under Curve of Drug for Dosage Type A

AUC dosageA = (F rel \cdot AUC dosageB) \cdot (\frac{D A}{D B})

Go Area under Curve of Drug for Dosage Type B

AUC dosageB = (\frac{AUC dosageA}{F rel}) \cdot (\frac{D B}{D A})

How to Evaluate Area under Curve given Dose and Volume of Distribution?

Area under Curve given Dose and Volume of Distribution evaluator uses Area Under Curve = Dose/(Volume of Distribution*Elimination Rate Constant) to evaluate the Area Under Curve, The Area under Curve given Dose and Volume of Distribution formula is defined as the ratio amount of drug administered to the rate at which a drug is removed from the body with apparent volume in which a drug is distributed. Area Under Curve is denoted by AUC symbol.

How to evaluate Area under Curve given Dose and Volume of Distribution using this online evaluator? To use this online evaluator for Area under Curve given Dose and Volume of Distribution, enter Dose (D), Volume of Distribution (V_d) & Elimination Rate Constant (k_e) and hit the calculate button.

FAQs on Area under Curve given Dose and Volume of Distribution

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

The formula of Area under Curve given Dose and Volume of Distribution is expressed as Area Under Curve = Dose/(Volume of Distribution*Elimination Rate Constant). Here is an example- 55.17241 = 8/(0.009*1.61111111111111E-05).

How to calculate Area under Curve given Dose and Volume of Distribution?

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

What are the other ways to Calculate Area Under Curve?

Here are the different ways to Calculate Area Under Curve-

Area Under Curve=Dose/Volume of Plasma Cleared
Area Under Curve=Average Plasma Concentration*Dosing Interval

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

Yes, the Area under Curve given Dose and Volume of Distribution, measured in Concentration Time Coefficient can be negative.

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

Area under Curve given Dose and Volume of Distribution is usually measured using the Mole Second per Liter[mol*s/L] for Concentration Time Coefficient. Mole Second per Cubic Meter[mol*s/L], Mole second per Milliliter[mol*s/L] are the few other units in which Area under Curve given Dose and Volume of Distribution can be measured.

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Area under Curve given Dose and Volume of Distribution Formula

​GoArea under Curve given Volume of Plasma Cleared Formula

​GoArea under Curve Given Average Plasma Concentration Formula

Area under Curve given Dose and Volume of Distribution Example

Area under Curve given Dose and Volume of Distribution Solution

Area under Curve given Dose and Volume of Distribution Formula Elements

Other Formulas to find Area Under Curve

Other formulas in Area under curve category

How to Evaluate Area under Curve given Dose and Volume of Distribution?

FAQs on Area under Curve given Dose and Volume of Distribution

Variable Name

GoArea under Curve given Volume of Plasma Cleared Formula

GoArea under Curve Given Average Plasma Concentration Formula