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Uniqueness of optimal controllers during exercise

S M Yamashiro1

  • 1Department of Biomedical Engineering, University of Southern California, Los Angeles 90089-1451.

Annals of Biomedical Engineering
|September 1, 1993
PubMed
Summary
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Respiratory control optimization during exercise is not unique. Both additive and multiplicative controllers, or combinations thereof, can satisfy isocapnic constraints and yield optimal results.

Area of Science:

  • Physiology
  • Respiratory Control
  • Exercise Physiology

Background:

  • The optimization hypothesis suggests respiratory control minimizes chemical and mechanical costs during exercise.
  • Previous models derived both additive and multiplicative controllers as optimal based on similar cost functions.
  • The uniqueness of these optimal controller predictions remained unexplored.

Purpose of the Study:

  • To investigate the uniqueness of optimal controller predictions in respiratory control during exercise.
  • To explore if different controller formulations yield identical optimization costs under isocapnic conditions.

Main Methods:

  • Derived various controller formulations compatible with isocapnia (maintaining constant carbon dioxide levels in arterial blood).
  • Compared the cost functions of these different controllers.

Related Experiment Videos

  • Derived a general form of a combined additive-multiplicative controller.

    • Main Results:

    • Multiple controller formulations compatible with isocapnia yielded identical costs to those predicted as optimal.
    • This demonstrates that optimal respiratory control predictions are not unique.
    • A general additive-multiplicative controller form was derived and validated against experimental data from exercise with CO2 inhalation.

    Conclusions:

    • Optimization theory does not uniquely predict a single controller type for respiratory control during exercise.
    • Both additive and multiplicative controllers, or any combination satisfying isocapnic constraints, can be optimal.
    • The derived general controller is consistent with existing experimental findings in combined exercise and hypercapnia.