Formula library

LOAEL-Based Adjusted Exposure Limit

\[AEL=\frac{LOAEL}{UF}\]

Variables

AELadjusted exposure limit (mg/kg/day)
LOAELlowest observed adverse effect level (mg/kg/day)
UFuncertainty factor

Description

What is this formula?

The LOAEL-Based Adjusted Exposure Limit estimates a protective exposure level when a NOAEL is unavailable and only a Lowest Observed Adverse Effect Level (LOAEL) has been identified in toxicological studies.


When to use it

Use this formula when risk assessments must be performed using toxicological data that report adverse-effect thresholds but do not provide a NOAEL.


Example

A toxicology study reports a LOAEL of 20 mg/kg/day. Regulatory guidance requires an uncertainty factor of 100.


Data:

LOAEL = 20 mg/kg/day

UF = 100


Formula:

AEL = LOAEL / UF


Substitution:

AEL = 20 / 100


Result:

AEL = 0.2 mg/kg/day


Interpretation:

An exposure below 0.2 mg/kg/day would generally be considered acceptable under the selected assumptions.


Applications

- Toxicological risk assessment

- Environmental health studies

- Chemical safety evaluations

- Regulatory exposure limit derivation

- Occupational health assessments


Note

This formula is an approximation used when a NOAEL is not available. Because LOAEL already represents a level at which adverse effects have been observed, additional uncertainty factors are often applied. Regulatory agencies may use different adjustment procedures and uncertainty factors depending on study quality, species differences, and the severity of the observed effects.

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