## Area under Curve for Drug Administered Intravenous Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area under Curve Intravenous = (Area under Curve Non-Intravenous*Dose Intravenous)/(Bioavailability of Drug*Dose Non-Intravenous)
AUCiv = (AUCpo*Div)/(f*Dpo)
This formula uses 5 Variables
Variables Used
Area under Curve Intravenous - (Measured in Mole Second per Cubic Meter) - Area under Curve Intravenous is the integral of the concentration-time curve after a single dose administered intravenous.
Area under Curve Non-Intravenous - (Measured in Mole Second per Cubic Meter) - The Area under Curve Non-Intravenous is the integral of the concentration-time curve after a single dose is administered orally.
Dose Intravenous - (Measured in Mole) - The Dose Intravenous is the amount of drug administered intravenously.
Bioavailability of Drug - The Bioavailability of Drug is defined as the systemically available fraction of a drug.
Dose Non-Intravenous - (Measured in Mole) - The Dose Non-Intravenous is the amount of drug administered orally.
STEP 1: Convert Input(s) to Base Unit
Area under Curve Non-Intravenous: 6 Mole Second per Liter --> 6000 Mole Second per Cubic Meter (Check conversion here)
Dose Intravenous: 12 Mole --> 12 Mole No Conversion Required
Bioavailability of Drug: 9.5 --> No Conversion Required
Dose Non-Intravenous: 4 Mole --> 4 Mole No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
AUCiv = (AUCpo*Div)/(f*Dpo) --> (6000*12)/(9.5*4)
Evaluating ... ...
AUCiv = 1894.73684210526
STEP 3: Convert Result to Output's Unit
1894.73684210526 Mole Second per Cubic Meter -->1.89473684210526 Mole Second per Liter (Check conversion here)
FINAL ANSWER
1.89473684210526 Mole Second per Liter <-- Area under Curve Intravenous
(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

## Area under Curve for Drug Administered Intravenous Formula

Area under Curve Intravenous = (Area under Curve Non-Intravenous*Dose Intravenous)/(Bioavailability of Drug*Dose Non-Intravenous)
AUCiv = (AUCpo*Div)/(f*Dpo)

## 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 Area under Curve for Drug Administered Intravenous?

Area under Curve for Drug Administered Intravenous calculator uses Area under Curve Intravenous = (Area under Curve Non-Intravenous*Dose Intravenous)/(Bioavailability of Drug*Dose Non-Intravenous) to calculate the Area under Curve Intravenous, The Area under Curve for Drug Administered Intravenous formula is defined as the comparison of the bioavailability of the active drug in systemic circulation following non-intravenous administration to the bioavailability of the same drug following intravenous administration. Area under Curve Intravenous is denoted by AUCiv symbol.

How to calculate Area under Curve for Drug Administered Intravenous using this online calculator? To use this online calculator for Area under Curve for Drug Administered Intravenous, enter Area under Curve Non-Intravenous (AUCpo), Dose Intravenous (Div), Bioavailability of Drug (f) & Dose Non-Intravenous (Dpo) and hit the calculate button. Here is how the Area under Curve for Drug Administered Intravenous calculation can be explained with given input values -> 1.894737 = (6000*12)/(9.5*4).

### FAQ

What is Area under Curve for Drug Administered Intravenous?
The Area under Curve for Drug Administered Intravenous formula is defined as the comparison of the bioavailability of the active drug in systemic circulation following non-intravenous administration to the bioavailability of the same drug following intravenous administration and is represented as AUCiv = (AUCpo*Div)/(f*Dpo) or Area under Curve Intravenous = (Area under Curve Non-Intravenous*Dose Intravenous)/(Bioavailability of Drug*Dose Non-Intravenous). The Area under Curve Non-Intravenous is the integral of the concentration-time curve after a single dose is administered orally, The Dose Intravenous is the amount of drug administered intravenously, The Bioavailability of Drug is defined as the systemically available fraction of a drug & The Dose Non-Intravenous is the amount of drug administered orally.
How to calculate Area under Curve for Drug Administered Intravenous?
The Area under Curve for Drug Administered Intravenous formula is defined as the comparison of the bioavailability of the active drug in systemic circulation following non-intravenous administration to the bioavailability of the same drug following intravenous administration is calculated using Area under Curve Intravenous = (Area under Curve Non-Intravenous*Dose Intravenous)/(Bioavailability of Drug*Dose Non-Intravenous). To calculate Area under Curve for Drug Administered Intravenous, you need Area under Curve Non-Intravenous (AUCpo), Dose Intravenous (Div), Bioavailability of Drug (f) & Dose Non-Intravenous (Dpo). With our tool, you need to enter the respective value for Area under Curve Non-Intravenous, Dose Intravenous, Bioavailability of Drug & Dose Non-Intravenous and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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