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Elimination Rate Constant given Area under Curve Formula

GoElimination Rate Constant given Volume of Plasma Cleared Formula

GoElimination Rate Constant of Drug Formula

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

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

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

Elimination Rate Constant given Area under Curve Example

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Here is how the Elimination Rate Constant given Area under Curve equation looks like with Values.

Here is how the Elimination Rate Constant given Area under Curve equation looks like with Units.

Here is how the Elimination Rate Constant given Area under Curve equation looks like.

2424.2424 = \frac{8}{1.32 \cdot 9}

2424.2424h⁻¹ = \frac{8mol}{1.32mol*s/L \cdot 9L}

2424.2424 = \frac{8}{1.32 \cdot 9}

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Elimination Rate Constant given Area under Curve Solution

Follow our step by step solution on how to calculate Elimination Rate Constant given Area under Curve?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

k e = \frac{8mol}{1.32mol*s/L \cdot 9L}

Next Step Convert Units

∴

k e = \frac{8mol}{1320mol*s/m³ \cdot 0.009m³}

Next Step Prepare to Evaluate

∴

k e = \frac{8}{1320 \cdot 0.009}

Next Step Evaluate

∴

k e = 0.673400673400673s⁻¹

Next Step Convert to Output's Unit

∴

k e = 2424.24242424242h⁻¹

LAST Step Rounding Answer

∴

k e = 2424.2424h⁻¹

Elimination Rate Constant given Area under Curve Formula Elements

Variables

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

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

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

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

Other Formulas to find Elimination Rate Constant

Go Elimination Rate Constant given Volume of Plasma Cleared

k e = \frac{CL}{V d}

Go Elimination Rate Constant of Drug

k e = \frac{\ln (2)}{t b/2}

Other formulas in Elimination Rate Constant category

Go Elimination Half Life given Volume of Plasma Cleared

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

Go Elimination Half Life of Drug

t b/2 = \frac{\ln (2)}{k e}

Go Total Clearance of Body

CL total = CL hepatic + CL renal + CL pulmonary + CL other

How to Evaluate Elimination Rate Constant given Area under Curve?

Elimination Rate Constant given Area under Curve evaluator uses Elimination Rate Constant = Dose/(Area Under Curve*Volume of Distribution) to evaluate the Elimination Rate Constant, The Elimination Rate Constant given Area under Curve formula is defined as the ratio of the amount of drug administered to the apparent volume in which a drug is distributed and area under the curve of the concentration-time graph. Elimination Rate Constant is denoted by k_e symbol.

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

FAQs on Elimination Rate Constant given Area under Curve

What is the formula to find Elimination Rate Constant given Area under Curve?

The formula of Elimination Rate Constant given Area under Curve is expressed as Elimination Rate Constant = Dose/(Area Under Curve*Volume of Distribution). Here is an example- 8.7E+6 = 8/(1320*0.009).

How to calculate Elimination Rate Constant given Area under Curve?

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

What are the other ways to Calculate Elimination Rate Constant?

Here are the different ways to Calculate Elimination Rate Constant-

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

Can the Elimination Rate Constant given Area under Curve be negative?

No, the Elimination Rate Constant given Area under Curve, measured in First Order Reaction Rate Constant cannot be negative.

Which unit is used to measure Elimination Rate Constant given Area under Curve?

Elimination Rate Constant given Area under Curve is usually measured using the 1 Per Hour[h⁻¹] for First Order Reaction Rate Constant. 1 Per Second[h⁻¹], 1 Per Millisecond[h⁻¹], 1 Per Day[h⁻¹] are the few other units in which Elimination Rate Constant given Area under Curve can be measured.

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Elimination Rate Constant given Area under Curve Formula

​GoElimination Rate Constant given Volume of Plasma Cleared Formula

​GoElimination Rate Constant of Drug Formula

Elimination Rate Constant given Area under Curve Example

Elimination Rate Constant given Area under Curve Solution

Elimination Rate Constant given Area under Curve Formula Elements

Other Formulas to find Elimination Rate Constant

Other formulas in Elimination Rate Constant category

How to Evaluate Elimination Rate Constant given Area under Curve?

FAQs on Elimination Rate Constant given Area under Curve

Variable Name

GoElimination Rate Constant given Volume of Plasma Cleared Formula

GoElimination Rate Constant of Drug Formula