Median Lethal Dose using Therapeutic Index Calculator

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✖The Median Effective Dose represents the dose at which 50% of the population exhibits the desired therapeutic effect.ⓘ Median Effective Dose [ED50]			+10% -10%
✖The Therapeutic Index measure that reflects the safety of a drug by comparing its therapeutic dose (effective dose) to its toxic dose.ⓘ Therapeutic Index [TI]			+10% -10%

✖The Median Lethal Dose which represents the dose at which 50% of the population exhibits toxic effects or dies.ⓘ Median Lethal Dose using Therapeutic Index [LD50]

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Formula

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Median Lethal Dose using Therapeutic Index

Formula

`"LD50" = ("ED50"*"TI")`

Example

`"160mg"=("20mg"*"8")`

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Median Lethal Dose using Therapeutic Index Solution

STEP 0: Pre-Calculation Summary

Formula Used

Median Lethal Dose = (Median Effective Dose*Therapeutic Index)
LD50 = (ED50*TI)
This formula uses 3 Variables

Variables Used

Median Lethal Dose - (Measured in Kilogram) - The Median Lethal Dose which represents the dose at which 50% of the population exhibits toxic effects or dies.
Median Effective Dose - (Measured in Kilogram) - The Median Effective Dose represents the dose at which 50% of the population exhibits the desired therapeutic effect.
Therapeutic Index - The Therapeutic Index measure that reflects the safety of a drug by comparing its therapeutic dose (effective dose) to its toxic dose.

STEP 1: Convert Input(s) to Base Unit

Median Effective Dose: 20 Milligram --> 2E-05 Kilogram (Check conversion here)
Therapeutic Index: 8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

LD50 = (ED50*TI) --> (2E-05*8)

Evaluating ... ...

LD50 = 0.00016

STEP 3: Convert Result to Output's Unit

0.00016 Kilogram -->160 Milligram (Check conversion here)

FINAL ANSWER

160 Milligram <-- Median Lethal Dose

(Calculation completed in 00.004 seconds)

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Created by Ritacheta Sen

University of Calcutta (C.U), Kolkata

Ritacheta Sen has created this Calculator and 25+ more calculators!

Verified by Soupayan banerjee

National University of Judicial Science (NUJS), Kolkata

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Saponification value

Go Saponification Value = Molecular weight of KOH*(Volume of blank-Volume of Actual solution)*Normality of solution/Weight of sample taken

Fraction of Drug Unbound in Tissue given Apparent Tissue Volume

Go Fraction Unbound in Tissue = (Fraction Unbound in Plasma*Apparent Tissue Volume)/(Volume of Distribution-Plasma Volume)

Secretion Rate of Drug

Go Secretion Rate of Drug = (Renal Clearance*Plasma Concentration)-(Filtration Rate)+(Reabsorption Rate of Drug)

Reabsorption Rate of Drug

Go Reabsorption Rate of Drug = ((Renal Clearance*Plasma Concentration)+Filtration Rate+Secretion Rate of Drug)

Filtration Rate of Drug

Go Filtration Rate = ((Renal Clearance*Plasma Concentration)+Reabsorption Rate of Drug-Secretion Rate of Drug)

Relative Bioavailability of Drug

Go Relative Bioavailability = (Area under curve Dosage A/Area under curve Dosage B)*(Dose Type B/Dose Type A)

Acid Value of KOH

Go Acid Value = Molecular weight of KOH*Volume of solution koh*Normality of solution/Weight of sample taken

Drug Purity given Rate of Administration and Dosing Interval

Go Drug Purity = (Drug Rate*Dosing Interval)/(Administered Dose*Bioavailability)

Rate of Administration of Drug given Dosing Interval

Go Drug Rate = (Administered Dose*Bioavailability*Drug Purity)/Dosing Interval

Drug Purity given Administrative Dose and Effective Dose

Go Drug Purity = Effective Dose/(Administered Dose*Bioavailability)

Drug Loading Efficiency

Go Drug Loading Efficiency = Weight of drug in nanoparticles/Weight of the Nanoparticles*100

Encapsulation Efficiency

Go Encapsulation Efficiency = Weight of drug in nanoparticles/Weight of feeding drug*100

Renal Clearance of Drug

Go Renal Clearance = Drug Amount Excreted Unchanged in Urine/Area Under Curve

Concentration of Drug given Rate of Infusion of Drug

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

Rate of Infusion of Drug

Go Rate of Infusion = Volume of Plasma Cleared*Concentration of Drug

Median Lethal Dose using Therapeutic Index

Go Median Lethal Dose = (Median Effective Dose*Therapeutic Index)

Margin of Safety of Drugs

Go Margin of Safety = Toxic Dose Response/Effective Dose Response

Effective Dose using Therapeutic Index

Go Median Effective Dose = Median Lethal Dose/Therapeutic Index

Therapeutic Index

Go Therapeutic Index = Median Lethal Dose/Median Effective Dose

Absorption Half-Life of Drug

Go Absorption Half Life = ln(2)/Absorption Rate Constant

Drug Rate Entering Body

Go Absorption Rate Constant = ln(2)/Absorption Half Life

Concentration of Drug using Volume of Distribution

Go Concentration of Drug = Dose/Volume of Distribution

Apparent Volume of Drug Distribution

Go Volume of Distribution = Dose/Concentration of Drug

Tablet Dosage

Go Number of tablet = Desired dosage/Stock strength

Easter Value

Go Easter Value = Saponification Value-Acid Value

Median Lethal Dose using Therapeutic Index Formula

Median Lethal Dose = (Median Effective Dose*Therapeutic Index)
LD50 = (ED50*TI)

What can mislead to a drug's safety ?

The use of the ED50 and TD50 doses to derive the TI may be misleading about a drug's safety, depending on the slope of the dose-response curves for therapeutic and toxic effects. To overcome this deficiency, toxicologists often use another term to denote the safety of a drug: the Margin of Safety.

How to Calculate Median Lethal Dose using Therapeutic Index?

Median Lethal Dose using Therapeutic Index calculator uses Median Lethal Dose = (Median Effective Dose*Therapeutic Index) to calculate the Median Lethal Dose, The Median Lethal Dose Using Therapeutic Index formula is defined as the product of the dose needed for the therapeutic response and therapeutic index. Median Lethal Dose is denoted by LD50 symbol.

How to calculate Median Lethal Dose using Therapeutic Index using this online calculator? To use this online calculator for Median Lethal Dose using Therapeutic Index, enter Median Effective Dose (ED50) & Therapeutic Index (TI) and hit the calculate button. Here is how the Median Lethal Dose using Therapeutic Index calculation can be explained with given input values -> 1.6E+8 = (2E-05*8).

FAQ

What is Median Lethal Dose using Therapeutic Index?

The Median Lethal Dose Using Therapeutic Index formula is defined as the product of the dose needed for the therapeutic response and therapeutic index and is represented as LD50 = (ED50*TI) or Median Lethal Dose = (Median Effective Dose*Therapeutic Index). The Median Effective Dose represents the dose at which 50% of the population exhibits the desired therapeutic effect & The Therapeutic Index measure that reflects the safety of a drug by comparing its therapeutic dose (effective dose) to its toxic dose.

How to calculate Median Lethal Dose using Therapeutic Index?

The Median Lethal Dose Using Therapeutic Index formula is defined as the product of the dose needed for the therapeutic response and therapeutic index is calculated using Median Lethal Dose = (Median Effective Dose*Therapeutic Index). To calculate Median Lethal Dose using Therapeutic Index, you need Median Effective Dose (ED50) & Therapeutic Index (TI). With our tool, you need to enter the respective value for Median Effective Dose & Therapeutic Index 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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