Hypothalamic regulation of pituitary secretion of luteinizing hormone—II feedback control of gonadotropin secretion

citation_title=Hypothalamic Gonadotropin-Releasing Hormone and Reproduction; citation_inbook_title=International Review of Physiology, Reproductive Physiology II; citation_publication_date=1977; citation_pages=1-21; citation_id=CR1; citation_author=A. Arimura; citation_publisher=Un. Park Press citation_journal_title=J. Clin. Endocr.; citation_title=Mathematical Studies of the Human Menstrual Cycle—I. Formulation of a Mathematical Model; citation_author=R. J. Bogumil, M. Ferin, J. Rodtenberg, F. Spepoff, R. J. Wiele; citation_volume=35; citation_publication_date=1972; citation_pages=126-143; citation_id=CR2 citation_journal_title=J. Clin. Endocr.; citation_title=Mathematical Studies of the Human Menstrual Cycle—II. Simulation Performance of a Model of the Human Menstrual Cycle; citation_author=R. J. Bogumil, M. Ferin, R. J. Wiele; citation_volume=35; citation_publication_date=1972; citation_pages=144-156; citation_id=CR3 citation_journal_title=J. Reprod. Fert.; citation_title=Changes in the Concentration of Luteinizing Hormone in Plasma of Rams Following Administration of Oestradiol, Progesterone, or Testosterone; citation_author=P. J. Bolt; citation_volume=24; citation_publication_date=1971; citation_pages=435-438; citation_doi=10.1530/jrf.0.0240435; citation_id=CR4 citation_journal_title=Hormone Met. Res.; citation_title=Prolonged Intravenous Infusions of LH-Releasing Hormone into Normal Men; citation_author=W. J. Bremner, C. A. Paulsen; citation_volume=9; citation_publication_date=1977; citation_pages=1-16; citation_doi=10.1055/s-0028-1093574; citation_id=CR5 citation_title=Control of Gonadotropin Secretion; citation_inbook_title=Subcellular Mechanisms in Reproductive Neuroendrocrinology; citation_publication_date=1976; citation_id=CR6; citation_author=K. Brown-Grant; citation_publisher=Elsevier Scientific Publishing Co. citation_journal_title=International Review of Physiology, Reproductive Endocrinology II; citation_title=Physiological Aspects of the Steroid Hormone-Gonadotropin Interrelationship; citation_author=K. Brown-Grant; citation_volume=13; citation_publication_date=1977; citation_pages=57-83; citation_id=CR7 citation_journal_title=Endocrinology; citation_title=Pituitary Stalk Portal Blood Collection in Rhesus Monkeys: Evidence for Publsatile Release of Gonadotrophin-Releasing Hormone (GnRH); citation_author=P. W. Carmel, S. Araki, M. Ferin; citation_volume=99; citation_publication_date=1976; citation_pages=243-248; citation_id=CR8 citation_title=Theory of Ordinary Differential Equations; citation_publication_date=1955; citation_id=CR9; citation_author=E. A. Coddington; citation_author=N. Levinson; citation_publisher=McGraw-Hill citation_journal_title=Andralogia; citation_title=Hormonal Regulation of Male Reproduction (With Reference to Infertility in Man); citation_author=M. Courot; citation_volume=8; citation_publication_date=1976; citation_pages=187-193; citation_doi=10.1111/j.1439-0272.1976.tb02134.x; citation_id=CR10 citation_journal_title=Bull. Math. Biol.; citation_title=The Danziger-Elmergreen Theory of Periodic Catatonic Schizophrenia; citation_author=J. Cronin; citation_volume=35; citation_publication_date=1973; citation_pages=689-707; citation_id=CR11 citation_journal_title=J. Diff. Eqns; citation_title=Periodic Solutions inn Dimensions and Volterra Equations; citation_author=J. Cronin; citation_volume=19; citation_publication_date=1975; citation_pages=21-35; citation_doi=10.1016/0022-0396(75)90015-7; citation_id=CR12 citation_journal_title=Bull. Math. Biol.; citation_title=Mathematical Aspects of Periodic Catatonic Schizophrenia; citation_author=J. Cronin; citation_volume=39; citation_publication_date=1976; citation_pages=187-200; citation_doi=10.1016/S0092-8240(77)80007-4; citation_id=CR13 citation_journal_title=S.I.A.M. Rev.; citation_title=Some Mathematics of Biological Oscillations; citation_author=J. Cronin; citation_volume=19; citation_publication_date=1977; citation_pages=100-138; citation_id=CR14 citation_journal_title=Bull. Math. Biophys.; citation_title=The Thyroid-Pituitary Homeostatic Mechanism; citation_author=L. Danziger, G. L. Elmergreen; citation_volume=18; citation_publication_date=1956; citation_pages=1-13; citation_id=CR15 citation_title=Feedback Control of Gonadotropin Secretion in the Male Rat; citation_inbook_title=Regulatory Mechanisms of Reproductive Physiology; citation_publication_date=1976; citation_pages=151-168; citation_id=CR16; citation_author=J. M. Davidson; citation_author=D. A. Damassa; citation_author=E. R. Smith; citation_author=C. Cheung; citation_publisher=Excerpta Medica citation_title=Hypothalamic-Pituitary Regulation of Puberty: Feedback Control of Gonadotropin Secretion in the Rhesus Monkey; citation_inbook_title=Control of Onset of Puberty; citation_publication_date=1974; citation_id=CR17; citation_author=D. J. Dierschke; citation_author=F. J. Karsh; citation_author=R. F. Weick; citation_author=G. Weiss; citation_author=J. Hotchkiss; citation_author=E. Knobil; citation_publisher=Wiley citation_journal_title=Clin. Obstet. Gyn.; citation_title=Patterns of Gonadotrophins and Gonadal Steroids Throughout Life; citation_author=C. Faiman, J. S. D. Winter, F. T. Reyes; citation_volume=3; citation_publication_date=1976; citation_pages=467-483; citation_id=CR18 citation_journal_title=Endocrinology; citation_title=Evidence for a Periodic Release of LH in Castrated Male and Female Rats; citation_author=V. L. Gay, N. A. Sheth; citation_volume=90; citation_publication_date=1972; citation_pages=158-158; citation_id=CR19 citation_journal_title=J. Chem. Phys.; citation_title=Combinatorial and Topological Methods in Nonlinear Chemical Kinetics; citation_author=L. Glass; citation_volume=63; citation_publication_date=1975; citation_pages=1325-1335; citation_doi=10.1063/1.431518; citation_id=CR20 citation_title=Oscillatory Behaviour in Enzymatic Control Processes; citation_inbook_title=Advances in Enzyme Regulation; citation_publication_date=1965; citation_pages=425-438; citation_id=CR21; citation_author=B. G. Goodwin; citation_publisher=Pergamon Press citation_journal_title=J. Theor. Biol.; citation_title=Mathematics of Cellular Control Processes. I. Negative Feedback to One Gene; citation_author=J. Griffith; citation_volume=20; citation_publication_date=1968; citation_pages=202-208; citation_doi=10.1016/0022-5193(68)90189-6; citation_id=CR22 citation_title=Inequalities; citation_publication_date=1952; citation_id=CR23; citation_author=G. H. Hardy; citation_author=J. E. Littlewood; citation_author=G. Polya; citation_publisher=Cambridge University Press citation_journal_title=J. Diff. Eqns.; citation_title=Existence of Periodic Solutions for Negative Feedback Cellular Control Systems; citation_author=A. Hastings, J. Tyson, D. Webster; citation_volume=25; citation_publication_date=1977; citation_pages=39-64; citation_doi=10.1016/0022-0396(77)90179-6; citation_id=CR24 citation_title=The Control Theoretic Approach to Glycolytic Oscillations; citation_inbook_title=Biological and Biochemical Oscillators; citation_publication_date=1973; citation_id=CR25; citation_author=J. Higgins; citation_author=R. Frenke; citation_author=E. Hulme; citation_author=D. Lucas; citation_author=G. Rangazas; citation_publisher=Academic Press citation_journal_title=J. Endocr.; citation_title=Relationship Between Blood Levels of Luteinizing Hormone and Testosterone in Bulls, and Their Effects on Sexual Stimulation; citation_author=C. B. Katongole, F. Naftolin, R. V. Short; citation_volume=50; citation_publication_date=1971; citation_pages=457-466; citation_id=CR26 citation_title=Endocrinology of Puberty in Man; citation_inbook_title=Regulatory Mechanisms of Male Reproductive Physiology; citation_publication_date=1976; citation_pages=175-192; citation_id=CR27; citation_author=H. E. Kulin; citation_author=R. J. Santen; citation_publisher=Excerpta Medica citation_journal_title=J. Theor. Biol.; citation_title=Bifurcation Theory Applied to a Simple Model of a Biochemical Oscillator; citation_author=N. Macdonald; citation_volume=65; citation_publication_date=1977; citation_pages=727-734; citation_doi=10.1016/0022-5193(77)90018-2; citation_id=CR28 citation_journal_title=J. Ann. Sci.; citation_title=Serum LH Concentration Following Castration, Steroid Hormone and Gonadotropin Releasing Hormone Treatment in the Male Bovine; citation_author=M. S. McCarthy, L. V. S. Swanson; citation_volume=43; citation_publication_date=1976; citation_pages=151-158; citation_id=CR29 citation_journal_title=Sci. Am.; citation_title=Interactions Between Hormones and Nerve Tissue; citation_author=B. S. McEwen; citation_volume=235; citation_publication_date=1976; citation_pages=48-58; citation_id=CR30 citation_journal_title=Bull. Math. Biol.; citation_title=Hypothalamic Regulation of Pituitary Secretion of Luterinizing Hormone; citation_author=T. W. Melnyk, I. W. Richardson, A. A. Simpson, W. R. Smith; citation_volume=38; citation_publication_date=1976; citation_pages=387-400; citation_doi=10.1016/S0092-8240(76)80019-5; citation_id=CR31 citation_journal_title=Biol. Reprod.; citation_title=Changes in Serum Testosterone Levels Following Acute LH Treatment in Immature and Mature Rats; citation_author=W. H. Moger, D. T. Armstrong; citation_volume=11; citation_publication_date=1974; citation_pages=1-6; citation_doi=10.1095/biolreprod11.1.1; citation_id=CR32 citation_journal_title=J. Clin. Endocrin. Metab.; citation_title=Repetitive Luteinizing Hormone Elevations in Serum of Normal Men; citation_author=H. R. Nankin, P. Troen; citation_volume=35; citation_publication_date=1971; citation_pages=931-937; citation_id=CR33 citation_journal_title=J. Clin. Endocr. Metab.; citation_title=A Radioimmunoassay for Gonadotropin-Releasing Hormone (Gn-RH) in Serum; citation_author=T. M. Nett, G. D. Akbar, G. R. Niswender, M. T. Aedlund, W. F. White; citation_volume=36; citation_publication_date=1973; citation_pages=880-880; citation_doi=10.1210/jcem-36-5-880; citation_id=CR34 citation_journal_title=J. Math. Biol.; citation_title=The Qualitative Dynamics of a Class of Biochemical Control Circuits; citation_author=H. G. Othmer; citation_volume=3; citation_publication_date=1976; citation_pages=53-78; citation_doi=10.1007/BF00307858; citation_id=CR35 citation_journal_title=Ann. Biol. Anim. Biophys.; citation_title=Elévation du Taux de LH dans le Plasma Sanguin du Bêline Cepres Castration; citation_author=J. Pelletier; citation_volume=8; citation_publication_date=1968; citation_pages=313-315; citation_id=CR36 citation_journal_title=Acta Endocr., Copenhagen; citation_title=Mode of Action of Testosterone Proprianate on the Secretion and Release of Luteinizing Hormone (LH) in the Castrated Ram; citation_author=J. Pelletier; citation_volume=63; citation_publication_date=1970; citation_pages=290-308; citation_id=CR37 citation_journal_title=Arch. ration Mech. Analysis; citation_title=On the Theory and Application of the Hopf-Friedrichs Bifurcation Theory; citation_author=A. B. Poore; citation_volume=60; citation_publication_date=1976; citation_pages=371-376; citation_doi=10.1007/BF00248886; citation_id=CR38 citation_journal_title=Bull. Inst. Maths. Appl.; citation_title=Mathematical Techniques for the Study of Oscillations in Biochemical Control Loops; citation_author=P. Rapp; citation_volume=12; citation_publication_date=1975; citation_pages=11-21; citation_id=CR39 citation_journal_title=J. Math. Biol.; citation_title=Analysis of Biochemical Phase Shift Oscillation by a Harmonic Balancing Technique; citation_author=P. Rapp; citation_volume=3; citation_publication_date=1976; citation_pages=203-224; citation_id=CR40 citation_journal_title=J. Theor. Biol.; citation_title=Oscillations in Calcium-Cyclic AMP Control Loops Form the Basis of Pacemaker Activity and Other High Frequency Biological Rhythms; citation_author=P. Rapp, M. J. Berridge; citation_volume=66; citation_publication_date=1977; citation_pages=497-525; citation_doi=10.1016/0022-5193(77)90299-5; citation_id=CR41 citation_journal_title=Steroids; citation_title=Effect of Infusion of Gonadotropin Releasing Hormone upon Plasma Concentrations of Sex Hormones in Prepubertal and Pubertal Males; citation_author=E. O. Reiter, V. G. Fuldauer, A. W. Root; citation_volume=28; citation_publication_date=1976; citation_pages=829-835; citation_doi=10.1016/0039-128X(76)90033-7; citation_id=CR42 citation_title=Biological Clocks in Medicine and Psychiatry; citation_publication_date=1965; citation_id=CR43; citation_author=C. P. Richter; citation_publisher=Charles C. Thomas citation_journal_title=Steroids; citation_title=The Secretion of LH and Testosterone in the Rabbit; citation_author=P. H. Rowe, C. R. N. Hopkinson, J. C. Shenton, T. D. Glover; citation_volume=25; citation_publication_date=1975; citation_pages=313-321; citation_doi=10.1016/0039-128X(75)90089-6; citation_id=CR44 citation_journal_title=J. Endocr.; citation_title=Temporal Variations of Testosterone Levels in the Peripheral Blood Plasma of Men; citation_author=P. H. Rowe, G. A. Lincoln, P. A. Racey, J. Lehane, M. J. Stephenson, J. C. Shenton, T. D. Glover; citation_volume=61; citation_publication_date=1974; citation_pages=63-73; citation_doi=10.1677/joe.0.0610063; citation_id=CR45 citation_journal_title=J. Endocr.; citation_title=The Temporal Relationship Between the Secretion of Luteinizing Hormone and Testosterone in Man; citation_author=P. H. Rowe, P. Racey, G. A. Lincoln, M. Ellwood, J. Lehane, J. C. Shenton; citation_volume=64; citation_publication_date=1975; citation_pages=17-26; citation_id=CR46 citation_journal_title=Science; citation_title=Gonadotropin-Releasing Hormone: One Polypeptide Regulates Secretion of Luteinizing and Follicle-Stimulating Hormones; citation_author=A. V. Schally, A. Arimura, A. J. Kastin, H. Matsuo, Y. Baba, T. W. Redding, R. M. A. Nair, L. Debeljuk; citation_volume=173; citation_publication_date=1971; citation_pages=1036-1038; citation_id=CR47 citation_journal_title=Recent Prog. Horm. Res.; citation_title=A Model for the Regulation of Ovulation in the Rat; citation_author=N. B. Schwartz; citation_volume=25; citation_publication_date=1969; citation_pages=1-53; citation_id=CR48 citation_journal_title=Sci. Am.; citation_title=The Physiology of Human Reproduction; citation_author=S. J. Segal; citation_volume=231; citation_publication_date=1974; citation_pages=52-62; citation_doi=10.1038/scientificamerican0974-52; citation_id=CR49 citation_title=Special Aspects—Rhythms; citation_inbook_title=Subcellular Mechanisms in Reproductive Neuroendocrinology; citation_publication_date=1976; citation_pages=503-518; citation_id=CR50; citation_author=R. Short; citation_publisher=Elsevier citation_journal_title=J. Theor. Biol.; citation_title=A Model for LH Levels in the Recently-Castrated Adult Rat and its Comparison with Experiment; citation_author=L. Shotkin; citation_volume=43; citation_publication_date=1974; citation_pages=1-14; citation_doi=10.1016/S0022-5193(74)80040-8; citation_id=CR51 citation_journal_title=J. Theor. Biol.; citation_title=A Model for the Effect of Daily Injections of Gonadal Hormones on LH Levels in Recently-Castrated Adult Rats and its Comparison with Experiment; citation_author=L. Shotkin; citation_volume=43; citation_publication_date=1974; citation_pages=15-28; citation_doi=10.1016/S0022-5193(74)80041-X; citation_id=CR52 citation_journal_title=Fert. Steril.; citation_title=Rapid Oscillations in Plasma Levels of Testosterone, Luteinizing Hormone, and Follicle-Stimulating Hormone in Men; citation_author=K. D. Smith, R. U. Tcholakian, M. Chowdhury, E. Steinberger; citation_volume=25; citation_publication_date=1974; citation_pages=965-965; citation_id=CR53 Steinberger, A. 1976. “Neuroendocrine Control of Testicular Function”. InHuman Semen and Fertility Regulation in Men, (Ed. E. S. E. Hafez). C. V. Mosby Co. citation_journal_title=Pharm. Ther.; citation_title=Biological Action of Gonadotropins in the Male; citation_author=E. Steinberger; citation_volume=2; citation_publication_date=1976; citation_pages=771-786; citation_id=CR55 citation_title=Molecular Mechanisms Concerned with Hormonal Effects on the Seminiferous Tubule and Endocrine Relationships at Puberty in the Male; citation_inbook_title=Regulatory Mechanisms of Male Reproductive Physiology; citation_publication_date=1976; citation_id=CR56; citation_author=E. Steinberger; citation_publisher=Excerpta-Medica citation_journal_title=J. Math. Biol.; citation_title=On the Existence of Oscillatory Solutions in Negative Feedback Cellular Control Processes; citation_author=J. J. Tyson; citation_volume=1; citation_publication_date=1975; citation_pages=311-315; citation_id=CR57