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Elimination Rate Constant given Area under Curve Calculator

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✖The Dose is the amount of drug administered.ⓘ Dose [D]			+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 [V_d]			+10% -10%

✖Elimination Rate Constant is the rate at which a drug is removed from the body.ⓘ Elimination Rate Constant given Area under Curve [k_e]

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Elimination Rate Constant given Area under Curve Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Elimination Rate Constant - (Measured in 1 Per Second) - Elimination Rate Constant is the rate at which a drug is removed from the body.
Dose - (Measured in Mole) - The Dose is the amount of drug administered.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Dose: 8 Mole --> 8 Mole No Conversion Required
Area Under Curve: 1.32 Mole Second per Liter --> 1320 Mole Second per Cubic Meter (Check conversion here)
Volume of Distribution: 9 Liter --> 0.009 Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k_e = D/(AUC*V_d) --> 8/(1320*0.009)

Evaluating ... ...

k_e = 0.673400673400673

STEP 3: Convert Result to Output's Unit

0.673400673400673 1 Per Second -->2424.24242424242 1 Per Hour (Check conversion here)

FINAL ANSWER

2424.24242424242 ≈ 2424.242 1 Per Hour <-- Elimination Rate Constant

(Calculation completed in 00.004 seconds)

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Elimination Rate Constant given Area under Curve Formula

LaTeX Go

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

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 Elimination Rate Constant given Area under Curve?

Elimination Rate Constant given Area under Curve calculator uses Elimination Rate Constant = Dose/(Area Under Curve*Volume of Distribution) to calculate 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 calculate Elimination Rate Constant given Area under Curve using this online calculator? To use this online calculator 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. Here is how the Elimination Rate Constant given Area under Curve calculation can be explained with given input values -> 8.7E+6 = 8/(1320*0.009).

FAQ

What is Elimination Rate Constant given Area under Curve?

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 and is represented as k_e = D/(AUC*V_d) or Elimination Rate Constant = Dose/(Area Under Curve*Volume of Distribution). The Dose is the amount of drug administered, 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 & The Volume of Distribution is the parameter relating drug concentration in plasma to drug amount in the body.

How to calculate Elimination Rate Constant given Area under Curve?

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 is calculated using Elimination Rate Constant = Dose/(Area Under Curve*Volume of Distribution). To calculate Elimination Rate Constant given Area under Curve, you need Dose (D), Area Under Curve (AUC) & Volume of Distribution (V_d). With our tool, you need to enter the respective value for Dose, Area Under Curve & Volume of Distribution 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 Elimination Rate Constant?

In this formula, Elimination Rate Constant uses Dose, Area Under Curve & Volume of Distribution. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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