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Updated: May 18, 2026

Assessing Pupil-linked Changes in Locus Coeruleus-mediated Arousal Elicited by Trigeminal Stimulation
Published on: November 26, 2019
A unified formula for light-adapted pupil size.
Andrew B Watson1, John I Yellott
1NASA Ames Research Center, Moffett Field, CA, USA. andrew.b.watson@nasa.gov
Pupil size significantly impacts vision and is primarily determined by light levels. This study introduces a unified formula accounting for light, field size, age, and eye adaptation for improved visual function prediction.
Area of Science:
- Optometry
- Visual Science
- Ophthalmology
Background:
- Pupil size is a critical determinant of visual function.
- Pupil size is primarily influenced by adapting luminance, with other factors also playing a role.
- Existing formulas for pupil size prediction are numerous and varied.
Purpose of the Study:
- To review existing formulas describing pupil size dependence on luminance.
- To develop a novel, unified formula for predicting pupil size.
- To incorporate multiple factors influencing pupil size into a single model.
Main Methods:
- Literature review of seven published pupil size formulas.
- Development of a new unified formula.
- Inclusion of luminance, adapting field size, observer age, and uniocular/binocular adaptation as parameters.
- Creation of interactive demonstrations and software implementations.
Main Results:
- A comprehensive review of historical pupil size formulas was conducted.
- A new unified formula was developed, integrating key influencing factors.
- The unified formula offers a more comprehensive prediction of pupil size compared to previous models.
- Interactive tools and software are available for applying the unified formula.
Conclusions:
- The unified formula provides a more accurate and versatile method for predicting pupil size.
- This model enhances our understanding of how various factors modulate pupil size and visual function.
- The provided software and demonstrations facilitate the application of this new model in research and practice.
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