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A systems model for the pupil size effect. I. Transient data.

F Sun, W C Krenz, L W Stark

    Biological Cybernetics
    |January 1, 1983
    PubMed
    Summary
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    This study introduces a nonlinear model of the human pupillary control system, explaining complex behaviors like pupillary escape and capture. The model accurately simulates experimental data, improving upon prior models.

    Area of Science:

    • Ophthalmology
    • Control Systems Engineering
    • Computational Neuroscience

    Background:

    • The human pupillary control system is often modeled as a linear biological control system.
    • However, it exhibits nonlinear behaviors such as asymmetry, pupillary escape, and pupillary capture.
    • Previous models have not fully captured these complex dynamics.

    Purpose of the Study:

    • To develop and validate a nonlinear model of the human pupillary control system.
    • To account for nonlinear behaviors including asymmetry, pupillary escape, and pupillary capture.
    • To propose a potential physiological mechanism for the model's adaptive components.

    Main Methods:

    • A nonlinear model was developed incorporating a pupil-size-dependent feedback signal.

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  • This feedback signal modulates system parameters like gains and light adaptation rates.
  • The model was simulated using a digital computer.

    • Main Results:

    • The nonlinear model successfully matched a variety of experimental data.
    • The model demonstrated improvements over existing pupil models.
    • The simulation results provide insights into the system's adaptive mechanisms.

    Conclusions:

    • The proposed nonlinear model effectively explains the complex behaviors of the human pupillary control system.
    • The model's success suggests a feedback mechanism influencing system parameters.
    • An inverse "Henneman coded" neuronal pool is a plausible candidate for the model's adaptive components.