## Relative Bioavailability of Drug Solution

STEP 0: Pre-Calculation Summary
Formula Used
Relative Bioavailability = (Area under curve Dosage A/Area under curve Dosage B)*(Dose Type B/Dose Type A)
Frel = (AUCdosageA/AUCdosageB)*(DB/DA)
This formula uses 5 Variables
Variables Used
Relative Bioavailability - Relative Bioavailability compares the bioavailability between two different dosage forms.
Area under curve Dosage A - (Measured in Mole Second per Cubic Meter) - The Area under curve Dosage A is the integral of the concentration-time curve for A form of dosage.
Area under curve Dosage B - (Measured in Mole Second per Cubic Meter) - The Area under curve Dosage B is the integral of the concentration-time curve for B form of dosage.
Dose Type B - (Measured in Mole) - Dose Type B is the amount of drug administered in B-type dosage form.
Dose Type A - (Measured in Mole) - Dose Type A is the amount of drug administered in A-type dosage form.
STEP 1: Convert Input(s) to Base Unit
Area under curve Dosage A: 1.141 Mole Second per Liter --> 1141 Mole Second per Cubic Meter (Check conversion here)
Area under curve Dosage B: 1.732 Mole Second per Liter --> 1732 Mole Second per Cubic Meter (Check conversion here)
Dose Type B: 15 Mole --> 15 Mole No Conversion Required
Dose Type A: 11.5 Mole --> 11.5 Mole No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Frel = (AUCdosageA/AUCdosageB)*(DB/DA) --> (1141/1732)*(15/11.5)
Evaluating ... ...
Frel = 0.859273019379456
STEP 3: Convert Result to Output's Unit
0.859273019379456 --> No Conversion Required
0.859273019379456 <-- Relative Bioavailability
(Calculation completed in 00.016 seconds)
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Created by Prashant Singh
K J Somaiya College of science (K J Somaiya), Mumbai
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## < 10+ Drug Content Calculators

Fraction of Drug Unbound in Tissue given Apparent Tissue Volume

## Fraction of Drug Unbound in Tissue given Apparent Tissue Volume

Formula
"fu"_{"t"} = ("fu"*"V"_{"T"})/("V"_{"d"}-"V"_{"P"})

Example
"3.9425"=("1.66"*"9.5L")/("9L"-"5L")

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Fraction Unbound in Tissue = (Fraction Unbound in Plasma*Apparent Tissue Volume)/(Volume of Distribution-Plasma Volume)
Relative Bioavailability of Drug

## Relative Bioavailability of Drug

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

Example
"0.859273"=("1.141mol*s/L"/"1.732mol*s/L")*("15mol"/"11.5mol")

Calculator
LaTeX
Relative Bioavailability = (Area under curve Dosage A/Area under curve Dosage B)*(Dose Type B/Dose Type A)
Drug Purity given Rate of Administration and Dosing Interval

## Drug Purity given Rate of Administration and Dosing Interval

Formula
"Q" = ("V"_{"a"}*"Τ")/("D"_{"a"}*"B")

Example
"45257.14"=("45mg/s"*"44s")/("3.5µg"*"12.5")

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Rate of Administration of Drug given Dosing Interval

## Rate of Administration of Drug given Dosing Interval

Formula
"V"_{"a"} = ("D"_{"a"}*"B"*"Q")/"Τ"

Example
"0.068608mg/s"=("3.5µg"*"12.5"*"69")/"44s"

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Drug Purity given Administrative Dose and Effective Dose

## Drug Purity given Administrative Dose and Effective Dose

Formula
"Q" = "D"_{"e"}/("D"_{"a"}*"B")

Example
"0.125714"="5.5µg"/("3.5µg"*"12.5")

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Drug Purity = Effective Dose/(Administered Dose*Bioavailability)
Concentration of Drug given Rate of Infusion of Drug

## Concentration of Drug given Rate of Infusion of Drug

Formula
"C"_{"ss"} = "k"_{"in"}/"CL"

Example
"114.5833mol/L"="55mol/s"/"0.48L/s"

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Concentration of Drug = Rate of Infusion/Volume of Plasma Cleared
Rate of Infusion of Drug

## Rate of Infusion of Drug

Formula
"k"_{"in"} = "CL"*"C"_{"ss"}

Example
"39.984mol/s"="0.48L/s"*"83.3mol/L"

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LaTeX
Rate of Infusion = Volume of Plasma Cleared*Concentration of Drug
Absorption Half-Life of Drug

## Absorption Half-Life of Drug

Formula
"t"_{"a/2"} = ln(2)/"k"_{"a"}

Example
"3600.765s"=ln(2)/"0.693h⁻¹"

Calculator
LaTeX
Absorption Half Life = ln(2)/Absorption Rate Constant
Drug Rate Entering Body

## Drug Rate Entering Body

Formula
"k"_{"a"} = ln(2)/"t"_{"a/2"}

Example
"3616.42h⁻¹"=ln(2)/"0.69s"

Calculator
LaTeX
Absorption Rate Constant = ln(2)/Absorption Half Life
Apparent Volume of Drug Distribution

## Apparent Volume of Drug Distribution

Formula
"V"_{"d"} = "D"/"C"_{"ss"}

Example
"0.096038L"="8mol"/"83.3mol/L"

Calculator
LaTeX
Volume of Distribution = Dose/Concentration of Drug

## Relative Bioavailability of Drug Formula

Relative Bioavailability = (Area under curve Dosage A/Area under curve Dosage B)*(Dose Type B/Dose Type A)
Frel = (AUCdosageA/AUCdosageB)*(DB/DA)

## 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 Relative Bioavailability of Drug?

Relative Bioavailability of Drug calculator uses Relative Bioavailability = (Area under curve Dosage A/Area under curve Dosage B)*(Dose Type B/Dose Type A) to calculate the Relative Bioavailability, The Relative bioavailability of drug formula is defined as the comparison of the bioavailability between two different dosage forms. Relative Bioavailability is denoted by Frel symbol.

How to calculate Relative Bioavailability of Drug using this online calculator? To use this online calculator for Relative Bioavailability of Drug, enter Area under curve Dosage A (AUCdosageA), Area under curve Dosage B (AUCdosageB), Dose Type B (DB) & Dose Type A (DA) and hit the calculate button. Here is how the Relative Bioavailability of Drug calculation can be explained with given input values -> 0.859273 = (1141/1732)*(15/11.5).

### FAQ

What is Relative Bioavailability of Drug?
The Relative bioavailability of drug formula is defined as the comparison of the bioavailability between two different dosage forms and is represented as Frel = (AUCdosageA/AUCdosageB)*(DB/DA) or Relative Bioavailability = (Area under curve Dosage A/Area under curve Dosage B)*(Dose Type B/Dose Type A). The Area under curve Dosage A is the integral of the concentration-time curve for A form of dosage, The Area under curve Dosage B is the integral of the concentration-time curve for B form of dosage, Dose Type B is the amount of drug administered in B-type dosage form & Dose Type A is the amount of drug administered in A-type dosage form.
How to calculate Relative Bioavailability of Drug?
The Relative bioavailability of drug formula is defined as the comparison of the bioavailability between two different dosage forms is calculated using Relative Bioavailability = (Area under curve Dosage A/Area under curve Dosage B)*(Dose Type B/Dose Type A). To calculate Relative Bioavailability of Drug, you need Area under curve Dosage A (AUCdosageA), Area under curve Dosage B (AUCdosageB), Dose Type B (DB) & Dose Type A (DA). With our tool, you need to enter the respective value for Area under curve Dosage A, Area under curve Dosage B, Dose Type B & Dose Type A 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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