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

STEP 0: Pre-Calculation Summary
Formula Used
Fraction Unbound in Tissue = (Fraction Unbound in Plasma*Apparent Tissue Volume)/(Volume of Distribution-Plasma Volume)
fut = (fu*VT)/(Vd-VP)
This formula uses 5 Variables
Variables Used
Fraction Unbound in Tissue - Fraction Unbound in Tissue is defined as the systemically available fraction of a drug in body tissue.
Fraction Unbound in Plasma - Fraction Unbound in Plasma is defined as the systemically available fraction of a drug in blood plasma.
Apparent Tissue Volume - (Measured in Cubic Meter) - Apparent Tissue Volume is defined as the ratio of the total amount of drug in the body to the concentration of drug in the body tissue.
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.
Plasma Volume - (Measured in Cubic Meter) - Plasma Volume is the measurement in which a drug is distributed in blood plasma.
STEP 1: Convert Input(s) to Base Unit
Fraction Unbound in Plasma: 1.66 --> No Conversion Required
Apparent Tissue Volume: 9.5 Liter --> 0.0095 Cubic Meter (Check conversion here)
Volume of Distribution: 9 Liter --> 0.009 Cubic Meter (Check conversion here)
Plasma Volume: 5 Liter --> 0.005 Cubic Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
fut = (fu*VT)/(Vd-VP) --> (1.66*0.0095)/(0.009-0.005)
Evaluating ... ...
fut = 3.9425
STEP 3: Convert Result to Output's Unit
3.9425 --> No Conversion Required
3.9425 <-- Fraction Unbound in Tissue
(Calculation completed in 00.016 seconds)
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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")

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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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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"

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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"

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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"

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Volume of Distribution = Dose/Concentration of Drug

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

Fraction Unbound in Tissue = (Fraction Unbound in Plasma*Apparent Tissue Volume)/(Volume of Distribution-Plasma Volume)
fut = (fu*VT)/(Vd-VP)

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

Fraction of Drug Unbound in Tissue given Apparent Tissue Volume calculator uses Fraction Unbound in Tissue = (Fraction Unbound in Plasma*Apparent Tissue Volume)/(Volume of Distribution-Plasma Volume) to calculate the Fraction Unbound in Tissue, The Fraction of drug unbound in tissue given apparent tissue volume formula is defined as the systemically available fraction of a drug in blood plasma with respect to body tissue. Fraction Unbound in Tissue is denoted by fut symbol.

How to calculate Fraction of Drug Unbound in Tissue given Apparent Tissue Volume using this online calculator? To use this online calculator for Fraction of Drug Unbound in Tissue given Apparent Tissue Volume, enter Fraction Unbound in Plasma (fu), Apparent Tissue Volume (VT), Volume of Distribution (Vd) & Plasma Volume (VP) and hit the calculate button. Here is how the Fraction of Drug Unbound in Tissue given Apparent Tissue Volume calculation can be explained with given input values -> 3.9425 = (1.66*0.0095)/(0.009-0.005).

### FAQ

What is Fraction of Drug Unbound in Tissue given Apparent Tissue Volume?
The Fraction of drug unbound in tissue given apparent tissue volume formula is defined as the systemically available fraction of a drug in blood plasma with respect to body tissue and is represented as fut = (fu*VT)/(Vd-VP) or Fraction Unbound in Tissue = (Fraction Unbound in Plasma*Apparent Tissue Volume)/(Volume of Distribution-Plasma Volume). Fraction Unbound in Plasma is defined as the systemically available fraction of a drug in blood plasma, Apparent Tissue Volume is defined as the ratio of the total amount of drug in the body to the concentration of drug in the body tissue, The Volume of Distribution is the parameter relating drug concentration in plasma to drug amount in the body & Plasma Volume is the measurement in which a drug is distributed in blood plasma.
How to calculate Fraction of Drug Unbound in Tissue given Apparent Tissue Volume?
The Fraction of drug unbound in tissue given apparent tissue volume formula is defined as the systemically available fraction of a drug in blood plasma with respect to body tissue is calculated using Fraction Unbound in Tissue = (Fraction Unbound in Plasma*Apparent Tissue Volume)/(Volume of Distribution-Plasma Volume). To calculate Fraction of Drug Unbound in Tissue given Apparent Tissue Volume, you need Fraction Unbound in Plasma (fu), Apparent Tissue Volume (VT), Volume of Distribution (Vd) & Plasma Volume (VP). With our tool, you need to enter the respective value for Fraction Unbound in Plasma, Apparent Tissue Volume, Volume of Distribution & Plasma Volume 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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