Abstract
Luteinizing hormone (LH) is secreted continuously from the anterior pituitary gland. The concentration in the blood of this gonadotropic hormone plays a regulatory role in the development of puberty in both sexes, in the induction of ovulation in females, and in the production of testosterone in males. The secretion of LH is in turn controlled by luteinizing hormone releasing hormone (LHRH) secreted by the hypothalamus. LH and LHRH are removed from the blood by degradation and excretion.
This hormonal system is modelled by a system of ordinary differential equations based upon specific physiological and biochemical assumptions current among experimentalists in this field. The one exception is the assumption that LHRH may bind reversibly to a serum protein; an analysis of the data shows that this or a similar mechanism is a crucial specification. Data on the serum levels of LH and LHRH in two human subjects were fitted using the model. The data consist of the transients and subsequent decays created by a bolus intravenous injection of LHRH.
Similar content being viewed by others
Literature
Burton, A. C. 1965.Physiology and Biophysics of Circulation p. 67. Chicago: Year Book Medical Publishers.
Goldstein, A., L. Aronow and M. Summer. 1968.Principles of Drug Action pp. 77, 283. New York: Hoeber Medical Division.
Hartley, H. O. and A. Booker. 1965. “Nonlinear Least Squares Estimation.”Ann. Math. Stat.,36, 638–650.
Ingbar, S. H. and K. A. Woeber. 1974. “The Thyroid Gland.” InTextbook of Endocrinology. R. H. Williams ed. 5th edition p. 124. Philadelphia: W. B. Saunders Co.
Jeffcoate, S. L., R. H. Greenwood and S. T. Holland. 1974. “Blood and Urine Clearance of Luteinizing Hormone Releasing Hormone in Man Measured by Radioimmunoassay.”J. Endocr.,60, 305–314.
Jonas, H. A., H. G. Burger, I. A. Cumming, J. U. Findlay and D. M. Kretser, 1975. “Radioimmunoassay for Luteinizing Hormone-Releasing Hormone (LHRH): Its Application to the Measurement of LHRH in Ovine and Human Plasma.”Endocrinology,96, 384–393.
Keye Jr., R. R., R. P. Kelch, G. D. Niswender and R. B. Jaffe. 1973. “Quantitation of Endogenous and Exogenous Gonadotropin Releasing Hormone by Radioimmunoassay.”J. Clin. Endocrin. Metab.,36, 1263–1267.
Liddle, G. W. and K. L. Melmon. 1974. “The Adrenals.” InTextbook of Endocrinology. loc. cit.. p. 244.
Mortimer, G. H., G. M. Besser, A. S. McNeilly, J. C. Marshall, P. Harsoulis, W. M. G. Tunbridge, A. Gomex-pan and R. Hall. 1973. “Luteinizing Hormone and Follicle Stimulating Hormone-Releasing Hormone Test in Patients with Hypothalamic-Pituitary-Gonadal Dysfunction”.Br. Med. J.,4, 73–77.
Nillius, S. J. and L. Wide. 1972. “Variation in LH and FSH Response to LH-Releasing Hormone During the Menstrual Cycle.”J. Obstet. Gynec. Br. Commwlth.,79, 865–873.
Ralston, A. and H. S. Wilf, eds. 1960.Mathematical Methods for Digital Computers Eqn. 20, p. 114. New York: J. Wiley and Sons.
Shally, A. V., A. Arimura, A. J. Kastin, H. Matsuo, Y. Baba, T. W. Redding, R. M. G. Nair and L. Debeljuk. 1971. “Gonadotropin-Realeasing Hormone: One polypeptide Regulates Secretion of Luteinizing and Follicle-Stimulating Hormones.”Science,173, 1036–1038.
Wagner, H., K. Böckel, M. Hrubesch and G. Grote. 1973. “Examination of the Pituitary Gonadal Relationship in Man With Synthetic LH/FSH Releasing Hormone.” InHypothalamic Hypophysiotropic Hormones, C. Gual and E. Rosenberg eds. p. 257. Amsterdam: Excerpta Medica.
Yen, S. S. C., G. Vandenberg, R. Rebar and Y. Ehara. 1972. “Variation of Pituitary Responsiveness to Synthetic LRF During Different Phases of the Menstrual Cycle.”J. Clin. Endocrinol. Metab.,35, 931–937.
Yen, S. S. C., R. Rebar, G. Vandenberg, F. Naftolin, H. Judd, Y. Ehara, K. J. Ryan, J. Rivier, M. Amoss and R. Guillemin. 1973. “Clinical Studies With Synthetic LRF.” InHypothalamic Hypophysiotropic Hormones. loc. cit.. p. 217.
Author information
Authors and Affiliations
Additional information
Primary appointment: Chemistry Dept., Dalhousie University.
Primary appointment: Mathematics Dept., Dalhousie University.
Rights and permissions
About this article
Cite this article
Melnyk, T.W., Richardson, I.W., Simpson, A.A. et al. Hypothalamic regulation of pituitary secretion of luteinizing hormone. Bltn Mathcal Biology 38, 387–400 (1976). https://doi.org/10.1007/BF02462213
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02462213