## Average Plasma Concentration given Area under Curve Solution

STEP 0: Pre-Calculation Summary
Formula Used
Average Plasma Concentration = Area Under Curve/Dosing Interval
Cav = AUC/Τ
This formula uses 3 Variables
Variables Used
Average Plasma Concentration - (Measured in Mole per Cubic Meter) - Average Plasma Concentration is the average concentration of the drug after administration and before the next dose is 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.
Dosing Interval - (Measured in Second) - The Dosing Interval is the time between drug dose administrations.
STEP 1: Convert Input(s) to Base Unit
Area Under Curve: 1.32 Mole Second per Liter --> 1320 Mole Second per Cubic Meter (Check conversion here)
Dosing Interval: 44 Second --> 44 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Cav = AUC/Τ --> 1320/44
Evaluating ... ...
Cav = 30
STEP 3: Convert Result to Output's Unit
30 Mole per Cubic Meter -->0.03 Mole per Liter (Check conversion here)
0.03 Mole per Liter <-- Average Plasma Concentration
(Calculation completed in 00.016 seconds)
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K J Somaiya College of science (K J Somaiya), Mumbai
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## < 8 Area under curve Calculators

Area under Curve for Drug Administered Intravenous

## Area under Curve for Drug Administered Intravenous

Formula
"AUC"_{"iv"} = ("AUC"_{"po"}*"D"_{"iv"})/("f"*"D"_{"po"})

Example
"1.894737mol*s/L"=("6mol*s/L"*"12mol")/("9.5"*"4mol")

Calculator
LaTeX
Area under Curve Intravenous = (Area under Curve Non-Intravenous*Dose Intravenous)/(Bioavailability of Drug*Dose Non-Intravenous)
Area under Curve for Drug Administered Orally

## Area under Curve for Drug Administered Orally

Formula
"AUC"_{"po"} = ("f"*"AUC"_{"iv"}*"D"_{"po"})/"D"_{"iv"}

Example
"34.83333mol*s/L"=("9.5"*"11mol*s/L"*"4mol")/"12mol"

Calculator
LaTeX
Area under Curve Non-Intravenous = (Bioavailability of Drug*Area under Curve Intravenous*Dose Non-Intravenous)/Dose Intravenous
Area under Curve of Drug for Dosage Type A

## Area under Curve of Drug for Dosage Type A

Formula
"AUC"_{"dosageA"} = ("F"_{"rel"}*"AUC"_{"dosageB"})*("D"_{"A"}/"D"_{"B"})

Example
"1.19508mol*s/L"=("0.9"*"1.732mol*s/L")*("11.5mol"/"15mol")

Calculator
LaTeX
Area under curve Dosage A = (Relative Bioavailability*Area under curve Dosage B)*(Dose Type A/Dose Type B)
Area under Curve of Drug for Dosage Type B

## Area under Curve of Drug for Dosage Type B

Formula
"AUC"_{"dosageB"} = ("AUC"_{"dosageA"}/"F"_{"rel"})*("D"_{"B"}/"D"_{"A"})

Example
"1.653623mol*s/L"=("1.141mol*s/L"/"0.9")*("15mol"/"11.5mol")

Calculator
LaTeX
Area under curve Dosage B = (Area under curve Dosage A/Relative Bioavailability)*(Dose Type B/Dose Type A)
Area under Curve given Dose and Volume of Distribution

## Area under Curve given Dose and Volume of Distribution

Formula
"AUC" = "D"/("V"_{"d"}*"k"_{"e"})

Example
"55172.41mol*s/L"="8mol"/("9L"*"0.058h⁻¹")

Calculator
LaTeX
Area Under Curve = Dose/(Volume of Distribution*Elimination Rate Constant)
Area under Curve Given Average Plasma Concentration

## Area under Curve Given Average Plasma Concentration

Formula
"AUC" = "C"_{"av"}*"Τ"

Example
"880mol*s/L"="20mol/L"*"44s"

Calculator
LaTeX
Area Under Curve = Average Plasma Concentration*Dosing Interval
Average Plasma Concentration given Area under Curve

## Average Plasma Concentration given Area under Curve

Formula
"C"_{"av"} = "AUC"/"Τ"

Example
"0.03mol/L"="1.320mol*s/L"/"44s"

Calculator
LaTeX
Average Plasma Concentration = Area Under Curve/Dosing Interval
Area under Curve given Volume of Plasma Cleared

## Area under Curve given Volume of Plasma Cleared

Formula
"AUC" = "D"/"CL"

Example
"16.66667mol*s/L"="8mol"/"0.48L/s"

Calculator
LaTeX
Area Under Curve = Dose/Volume of Plasma Cleared

## Average Plasma Concentration given Area under Curve Formula

Average Plasma Concentration = Area Under Curve/Dosing Interval
Cav = AUC/Τ

## 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 Average Plasma Concentration given Area under Curve?

Average Plasma Concentration given Area under Curve calculator uses Average Plasma Concentration = Area Under Curve/Dosing Interval to calculate the Average Plasma Concentration, The Average Plasma Concentration given Area under Curve formula is defined as the ratio of the integral of the concentration-time curve per time between drug dose administrations. Average Plasma Concentration is denoted by Cav symbol.

How to calculate Average Plasma Concentration given Area under Curve using this online calculator? To use this online calculator for Average Plasma Concentration given Area under Curve, enter Area Under Curve (AUC) & Dosing Interval (Τ) and hit the calculate button. Here is how the Average Plasma Concentration given Area under Curve calculation can be explained with given input values -> 0.03 = 1320/44.

### FAQ

What is Average Plasma Concentration given Area under Curve?
The Average Plasma Concentration given Area under Curve formula is defined as the ratio of the integral of the concentration-time curve per time between drug dose administrations and is represented as Cav = AUC/Τ or Average Plasma Concentration = Area Under Curve/Dosing Interval. 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 Dosing Interval is the time between drug dose administrations.
How to calculate Average Plasma Concentration given Area under Curve?
The Average Plasma Concentration given Area under Curve formula is defined as the ratio of the integral of the concentration-time curve per time between drug dose administrations is calculated using Average Plasma Concentration = Area Under Curve/Dosing Interval. To calculate Average Plasma Concentration given Area under Curve, you need Area Under Curve (AUC) & Dosing Interval (Τ). With our tool, you need to enter the respective value for Area Under Curve & Dosing Interval and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well. Let Others Know