Annals of Biomedical Engineering

, Volume 3, Issue 4, pp 439–455

Application of control theory to endocrine regulation and control

  • Edwin B. Stear
Article

Abstract

This paper considers some aspects of the application of control theory to endocrine regulation and control. Consideration is given to both the structural and functional aspects of various control concepts and ideas in this context. For single-input, single-output feedback control structures, emphasis is placed on loop gain and its importance in establishing the functional capability of such structures. Examples are given of both functional and nonfunctional feedback structures proposed by endocrinologists. For multi-input, multi-output structures, emphasis is placed on the concept of input and output decoupling, and the possible applicability of these concepts to hormonal control system interrelationships is illustrated. Finally, the possible application of optimal control theory to endocrine regulation and control is illustrated by means of a naive and highly simplified example involving control of the thyroid gland by the pituitary gland, and several surprising and interesting implications are shown to be implicit in the resulting control structure.

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References

  1. Athans, M., and Falb, P. L.Optimal control. New York: McGraw-Hill, 1966.Google Scholar
  2. Brown, M. R., and Hedge, G. A. TSH and ACTH secretion after intrapituitary injection of synthetic TRF.Endocrinology 1972,91, 206.PubMedGoogle Scholar
  3. Brown, M. R., and Hedge, G. A. Multiple effects of glucocorticoid on TSH secretion in unanesthetized rats.Endocrinology 1973,92, 1305.PubMedGoogle Scholar
  4. Brown, M. R., and Hedge, G. A. Effects of glucocorticoids on TRH and TSH secretion: Dose and time considerations.American Journal of Physiology 1974,2, 289.Google Scholar
  5. Desoer, C. A., and Vidyasagar, M.Feedback systems: Input output properties. New York: Academic Press, 1975.Google Scholar
  6. Gann, D. S., and Cryer, G. L. Feedback control of ACTH secretion cortisol. InBrain-pituitaryadrenal interrelationships. Basel: Karger, 1973, Pp. 197–223.Google Scholar
  7. Gill, A., and Sivan, R., Optimal control of linear systems with quadratic costs which are not necessarily positive definite.IEEE Transactions on Automatic Control. February 1969.Google Scholar
  8. Guyton, A. C.Textbook of medical physiology. Philadelphia: Saunders, 1971.Google Scholar
  9. Horowitz, I. M.Synthesis of feedback systems. New York: Academic Press, 1963.Google Scholar
  10. Martini, L., and Ganong, W. F. (Eds.),Neuroendocrinology. New York: Academic Press, 1966.Google Scholar
  11. Mesarovic, M. D., Macko, D., and Takahara, Y.Theory of hierarchical, multilevel, systems. New York: Academic Press, 1970.Google Scholar
  12. Riggs, D. S.Control theory and physiological feedback mechanisms. Baltimore: Williams and Watkins, 1970.Google Scholar
  13. Schreiber, V.Hypothalamo-hypophysial system. Prague: Publishing House of the Czechoslovak Academy of Sciences, 1963.Google Scholar
  14. Stear, E. B., and Kadish, A. (Eds).Hormonal control systems. Suppl. 1,Mathematical biosciences. New York: American Elsevier, 1969.Google Scholar
  15. Stear, E. B. Systems theory aspects of physiological systems. In A. Iberall and A. Guyton (Eds.),Proceedings of the Conference on Regulation and Control in Physiological Systems (August 1973). Distributed by Instrument Society of America.Google Scholar
  16. Truxal, J. G.Automatic feedback control system synthesis. New York: McGraw-Hill, 1955.Google Scholar

Copyright information

© Academic Press, Inc. 1975

Authors and Affiliations

  • Edwin B. Stear
    • 1
  1. 1.Department of Electrical Engineering and Computer ScienceUniversity of CaliforniaSanta Barbara

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