Skip to main content
Log in

Neuroendocrine control of thyroid secretion in living systems: A feedback control system model

  • Published:
The bulletin of mathematical biophysics Aims and scope Submit manuscript

Abstract

A model of the regulation of thyroid hormone in the bloodstream of living systems is formulated and analyzed. The portion of this model defined as theregulator includes components representing the thyroid, anterior pituitary and hypothalamic organs and their intercommunicating channels, that is, the peripheral plasma and hypophysial portal circulations and certain neuro-secretory connections. The loss of hormones from the plasma in the living system associated with physiological mechanisms within the peripheral tissue space and the excretory pathways is represented in the model by a lumpedload on the regulator. The model is reduced to a system of differential equations involving eleven parameters and variables, all of which are identified with certain physiological structures and states. Five of these are currently observable by available laboratory techniques and two others are computable explicity from the equations of the model; the remaining four can be computed in the same way to within a multiplicative constant. Procedires for carrying out ten of these measurements and calculations are suggested. On the basis of the equations and parameters of the model, a discussion of the normal behavior and the response of this system to certain types of disturbances is presented. A systematic effort has been made in the development of this model to include all relevant physiological data and relationships reported in the biological literature. A summary of this literature, reflecting the views and interpretations made by the authors of this paper, is included for completeness and ease of reference.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Literature

  • Allen, B. M. 1916. “The Results of Extirpation of the Anterior Lobe of the Hypophysis and the Thyroid of Rana Pipiens Larvae.”Science,44, 755–757.

    Google Scholar 

  • Bakke, J. L. 1965. “The Assay of Human TSH by 21 Different Assay Laboratories in 9 Different Countries Using 14 Different Methods.” InCurrent Topics in Thyroid Research, C. Cassano and M. Andreoli, Eds. New York: Academic, 503–512.

    Google Scholar 

  • Brown-Grant, K. 1957. “The Feedback Hypothesis of the Control of Thyroid Function.”Ciba Foundation Colloquia in Endocrinology,10, 97–116.

    Google Scholar 

  • , G. W. Harris and S. Reichlin. 1957. “The Effect of Pituitary Stalk Section on Thyroid Function in the Rabbit.”J. Physiol. London,136, 364–379.

    Google Scholar 

  • Comar, C. 1955.Radioisotopes in Biology and Agriculture. New York: McGraw-Hill.

    Google Scholar 

  • Corbin, A., G. Mangili, M. Motta and L. Martini. 1965. “Effect of Hypothalamic and Mesencephatic Stetoid Implantations on ACTH Feedback Mechanisms.”Endocrinol.,76, 811–818.

    Google Scholar 

  • David, M. A., F. Fraschini and L. Martini. 1966. “Control of LH Secretion: Role of a Short Feedback Mechanism.”Endocrinol.,78, 55–60.

    Article  Google Scholar 

  • Danziger, L. and G. L. Elmergreen. 1954. “Mathematical Theory of Periodic Relapsing Catatonia.”Bull. Math. Biophysics,16, 15–21.

    Google Scholar 

  • . 1956. “The Thyroid-Pituitary Homeostatic Mechanism.”,18, 1–13.

    Google Scholar 

  • DeGroot, L. J. 1965. “Current Views on Formation of Thyroid Hormones.”N. Eng. J. Med.,272, 243–250, 297–303, 355–362.

    Article  Google Scholar 

  • DiStefano, J. J. 1966. “A New Model of the Thyroid Hormone Regulator and a Proposal for its Experimental Validation.” Ph.D. Thesis, Department of Engineering, University of California, Los Angeles, California.

    Google Scholar 

  • DiStefano, J. J., A. R. Stubberud and I. J. Williams. 1967.Feedback and Control Systems. New York: Schaum.

    Google Scholar 

  • Euler, C. von and B. Holmgren. 1956. “Role of Hypothalamo-Hypophysial Connections in Thyroid Secretion.”J. Physiol.,131, 137–146.

    Google Scholar 

  • Florsheim, W. H., N. S. Austin and S. M. Velcoff. 1963. “Neuroedocrine Control of Thyrotropin Secretion in the Rat.”Endocrinol.,72, 817–823.

    Google Scholar 

  • Ganong, W. F. 1965.Review of Medical Physiology. 2nd ed. California: Lange Med. Pub.

    Google Scholar 

  • Goolden, A. W. G. 1964. “Radioactive Isotopes of Iodine and their Applications.” InThe Thyroid Gland, R. Pitts-Rivers and W. R. Trotter, Eds. London: Butterworths, Chap. 15.

    Google Scholar 

  • Greer, M. A. 1952. “The Role of the Hypothalamus in the Control of Thyroid Function.”J. Clin. Endocrinol.,12, 1259–1268.

    Google Scholar 

  • Guillemin, R., R. Burgus, E. Sakiz and D. Ward. 1966. “Nouvelles Donnees Sur La Purification De L’Hormone Hypothalamique TSH-Hypophysiotrope, TRF.”Comp. Rend. Acad. Sci. (Paris),262, 2278–2280.

    Google Scholar 

  • Harris, G. W. 1964. “A Summary of Some Recent Research on Brain-Thyroid Relationships.” InBrain Thyroid Relationships, M. P. Cameron and M. O’Connor, Eds. Boston: Little-Brown, 3–16.

    Google Scholar 

  • Harrison, T. S. 1961. “Some Factors Influencing TSH Release in the Rabbit.”Endocrinol.,68, 466–478.

    Google Scholar 

  • Ingbar, S. H. and N. Freinkel. 1960. “Thyroid Hormones.” InHormones in Human Plasma: Nature and Transport., H. N. Antoniades, Ed. Boston: Little-Brown, 515–579.

    Google Scholar 

  • Norwich, K. H. and R. Reiter. 1965. “Homeostatic Control of Thyroxin Concentration Expressed by a Set of Liner Differential Equations.”Bull. Math. Biophysics,27, 133–144.

    Google Scholar 

  • Odell, W. D., R. D. Utiger, J. F. Wilber and P. C. Condliffe. 1967. “Estimation of the Secretion Rate of TSH in Man.”J. Clin. Invest.,46, 953–959.

    Article  Google Scholar 

  • Rashevsky, N. 1964.Some Medical Aspects of Mathematical Biology. Springfield, Ill.: Thomas.

    Google Scholar 

  • Reichlin, S. 1964. “Function of the Hypothalamus in Regulaton of Pituitary-Thyroid Activity.” InBrain-Thyroid Relationships, M. P. Cameron and M. O’Connor, Eds. Boston: Little-Brown, 17–34.

    Google Scholar 

  • , E. M. Volpert and S. C. Werner. 1966. “Hypothalamic Influence on Thyroxine Monodeiodination by Rat Anterior Pituitary Gland.”Endocrinol.,78, 302–306.

    Google Scholar 

  • Robbins, J. and J. E. Rall. 1960. “Proteins Associated, with Thyroid Hormones.”Physiol. Rev.,40, 415–489.

    Google Scholar 

  • Rosenberg, I. N. and C. H. Bastomsky. 1965. “The Thyroid.”Ann. Rev. Physiol.,27, 71–106.

    Article  Google Scholar 

  • Roston, S. 1959. “Mathematical Repreentations of Some Endocrinological Systems.”Bull. Math. Biophysics,21, 271–282.

    Google Scholar 

  • Schreiber, V. 1963.The Hypothalamo-Hypophysical System. Prague: Czech. Academy of Sciences.

    Google Scholar 

  • Smith, P. E. 1916. “The Effect of Hypophysectomy in the Early Embryo Upon the Growth and Development of the Frog.”Anat. Rec.,11, 57–64.

    Article  Google Scholar 

  • Söderberg, U. 1958. “Short Term Reactions in the Thyroid Gland.”Acta Physiol. Scand.,42 (147), 1–113.

    Google Scholar 

  • Solomon, D. H. and J. T. Dowling. 1960. “The Thyroid.”Ann. Rev. Physiol.,22, 615–650.

    Article  Google Scholar 

  • Szentágothai, J., B. Flerko, B. Mess and B. Halasz. 1962.Hypothalamic Control of the Anterior Pituitary. Budapest: Hungarian Academy of Sciences.

    Google Scholar 

  • Taurog, and D. T. Thio. 1965. “The Action of TSH on Thyroxine-Release for Puromycin-Blocked Thyroid Glands.” InCurrent Topics in Thyroid Research, C. Cassano and M. Andreoli, Eds. New York: Academic, 572–580.

    Google Scholar 

  • Tepperman, J. 1962.Metabolic and Endocrine Physiology. Chicago: Yearbook Med. Pub., Chaps. 3, 6.

    Google Scholar 

  • Yamada, T. and M. A. Greer. 1959. “Studies on the Mechanism of Hypothalamic Control of TSH: Effect of Thyroxin Injection into the Hypothalamus or Pituitary on Thyroid Hormone Release.”Endocrinol.,64, 559–566.

    Article  Google Scholar 

  • Yamazaki, E., E. Sazik and R. Guillemin. 1963. “The Effect of Alpha-MSH and Beta-MSH on Thyrotropic and Thyroid Function.”Ann. Endocrinol.,24, 795–800.

    Google Scholar 

  • Yates, F. E. and J. Urquhart. 1962. “Control of Plasma Concentrations of Adrenocortical Hormones.”Physiol. Rev.,42, 359–443.

    Google Scholar 

  • Zarrow, M. X., J. M. Yochim and J. L. McCarthy. 1964.Experimental Endocrinology. New York: Academic.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

DisTeafano, J.J., Stear, E.B. Neuroendocrine control of thyroid secretion in living systems: A feedback control system model. Bulletin of Mathematical Biophysics 30, 3–26 (1968). https://doi.org/10.1007/BF02476936

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02476936

Keywords

Navigation