## Drug Purity given Rate of Administration and Dosing Interval Solution

STEP 0: Pre-Calculation Summary
Formula Used
Drug Purity = (Drug Rate of Administration*Dosing Interval)/(Administered Dose*Bioavailability)
Q = (Va*Τ)/(Da*B)
This formula uses 5 Variables
Variables Used
Drug Purity - The Drug Purity is the measurement of the quantity of a prevalent component of a drug substance when only that component is present.
Drug Rate of Administration - (Measured in Kilogram per Second) - Drug Rate of Administration is the amount of drug administered in a particular interval of time.
Dosing Interval - (Measured in Second) - The Dosing Interval is the time between drug dose administrations.
Administered Dose - (Measured in Kilogram) - Administered Dose is the amount of drug administered for a pharmacological response.
Bioavailability - The Bioavailability is the systemically available fraction of a drug.
STEP 1: Convert Input(s) to Base Unit
Drug Rate of Administration: 45 Milligram per Second --> 4.5E-05 Kilogram per Second (Check conversion here)
Dosing Interval: 44 Second --> 44 Second No Conversion Required
Administered Dose: 3.5 Microgram --> 3.5E-09 Kilogram (Check conversion here)
Bioavailability: 12.5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Q = (Va*Τ)/(Da*B) --> (4.5E-05*44)/(3.5E-09*12.5)
Evaluating ... ...
Q = 45257.1428571429
STEP 3: Convert Result to Output's Unit
45257.1428571429 --> No Conversion Required
45257.1428571429 <-- Drug Purity
(Calculation completed in 00.016 seconds)
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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")

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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")

Calculator
LaTeX
Drug Purity = (Drug Rate of Administration*Dosing Interval)/(Administered Dose*Bioavailability)
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"

Calculator
LaTeX
Drug Rate of Administration = (Administered Dose*Bioavailability*Drug Purity)/Dosing Interval
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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LaTeX
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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LaTeX
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"

Calculator
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

## Drug Purity given Rate of Administration and Dosing Interval Formula

Drug Purity = (Drug Rate of Administration*Dosing Interval)/(Administered Dose*Bioavailability)
Q = (Va*Τ)/(Da*B)

## 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 Drug Purity given Rate of Administration and Dosing Interval?

Drug Purity given Rate of Administration and Dosing Interval calculator uses Drug Purity = (Drug Rate of Administration*Dosing Interval)/(Administered Dose*Bioavailability) to calculate the Drug Purity, The Drug purity given rate of administration and dosing interval formula is defined as the ratio of the rate of administration of the drug with dosing interval to the administrative dose and a systemically available fraction of a drug. Drug Purity is denoted by Q symbol.

How to calculate Drug Purity given Rate of Administration and Dosing Interval using this online calculator? To use this online calculator for Drug Purity given Rate of Administration and Dosing Interval, enter Drug Rate of Administration (Va), Dosing Interval (Τ), Administered Dose (Da) & Bioavailability (B) and hit the calculate button. Here is how the Drug Purity given Rate of Administration and Dosing Interval calculation can be explained with given input values -> 45257.14 = (4.5E-05*44)/(3.5E-09*12.5).

### FAQ

What is Drug Purity given Rate of Administration and Dosing Interval?
The Drug purity given rate of administration and dosing interval formula is defined as the ratio of the rate of administration of the drug with dosing interval to the administrative dose and a systemically available fraction of a drug and is represented as Q = (Va*Τ)/(Da*B) or Drug Purity = (Drug Rate of Administration*Dosing Interval)/(Administered Dose*Bioavailability). Drug Rate of Administration is the amount of drug administered in a particular interval of time, The Dosing Interval is the time between drug dose administrations, Administered Dose is the amount of drug administered for a pharmacological response & The Bioavailability is the systemically available fraction of a drug.
How to calculate Drug Purity given Rate of Administration and Dosing Interval?
The Drug purity given rate of administration and dosing interval formula is defined as the ratio of the rate of administration of the drug with dosing interval to the administrative dose and a systemically available fraction of a drug is calculated using Drug Purity = (Drug Rate of Administration*Dosing Interval)/(Administered Dose*Bioavailability). To calculate Drug Purity given Rate of Administration and Dosing Interval, you need Drug Rate of Administration (Va), Dosing Interval (Τ), Administered Dose (Da) & Bioavailability (B). With our tool, you need to enter the respective value for Drug Rate of Administration, Dosing Interval, Administered Dose & Bioavailability 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 Drug Purity?
In this formula, Drug Purity uses Drug Rate of Administration, Dosing Interval, Administered Dose & Bioavailability. We can use 1 other way(s) to calculate the same, which is/are as follows -
• Drug Purity = Effective Dose/(Administered Dose*Bioavailability)
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