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Emergent Oscillations in Mathematical Model of the Human Menstrual Cycle

Published online by Cambridge University Press:  07 November 2014

Abstract

Background:

The aim of this study was to develop a mathematical model of the hypothalamo-pituitary-gonadal axis that would reflect available data in humans.

Methods:

A model of hormonal relationships at the early follicular and midluteal phases of the human menstrual cycle is proposed.

Findings:

Two distinct temporal patterns of oscillatory behavior have been demonstrated for both pituitary and gonadal steroids in the early follicular phase: first, rapid oscillations in gonadotropin releasing hormone, follicle stimulating hormone, and luteinizing hormone (Q∼1 hour) that were an immediate consequence of the programmed equations. Second, there were slower, undulating, emergent rhythms in luteinizing hormone and follicle stimulating hormone, and also in estrogen, having oscillatory periods of 2–12 hours. There was also a longer-period (Q2–3 days) emergent rhythm in progesterone. In the mid-luteal phase, estrogen and progesterone rhythms were correlated, and all hormones showed an ∼6-hour periodicity.

Conclusion:

To our knowledge, the oscillatory behavior of peripheral sex steroids in the follicular phase has not been previously noted.

Type
Original Research
Copyright
Copyright © Cambridge University Press 2003

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References

REFERENCES

1.Horacek, J, Kuzmiakova, M, Hoschl, C, Andel, M, Bahbonh, R. The relationship between central serotonergic activity and insulin sensitivity in healthy volunteers. Psychoneuroendocrinology. 1999;24:785797.CrossRefGoogle ScholarPubMed
2.Weber, B, Lewicka, S, Deuschle, M, Colla, M, Heuser, I. Testosterone, androstenedione, and dihydrotestosterone concentrations are elevated in female patients with major depression. Psychoneuroendocrinology 2000;25:765771.CrossRefGoogle ScholarPubMed
3.Parry, BL, Hauger, R, LeVeau, B, et al. Circadian rhythms of prolactin and thyroid-stimulating hormone during the menstrual cycle and early versus late sleep deprivation in premenstrual dysphoric disorder. Psychiatry Res. 1996;62:147160.CrossRefGoogle ScholarPubMed
4.Rubinow, DR. Psychiatric disorders of the late luteal phase. Psychopharmacology in practice: clinical and research update 1995. Bethesda, Md: The Foundation for Advanced Education in the Sciences, Inc.; 1995:155183.Google Scholar
5.Haskett, REDiagnostic categorization of psychiatric disturbance in Cushing's syndrome. Am J Psychiatry. 1985;142:911916.Google ScholarPubMed
6.Carpenter, WT, Bunney, WE. Adrenal cortical activity in depressive illness. Am J Psychiatry 1971;128:3140.CrossRefGoogle ScholarPubMed
7.Carroll, BJ, Curtis, GC, Mendels, J. Neuroendocrine regulation in depression. II. Discrimination of depressed from nondepressed patients. Arch Gen Psychiatry 1976;33:10511058.CrossRefGoogle ScholarPubMed
8.Sachar, EJ, Hellman, L, Fukushima, DK, Gallagher, TF. Cortisol production in depressive illness. A clinical and biochemical clarification. Arch Gen Psychiatry 1970;23:289298.CrossRefGoogle ScholarPubMed
9.Baischer, W, Koinig, G, Hartmann, B, Huber, J, Langer, G. Hypothalamic-pituitary-gonadal axis in depressed premenopausal women: elevated blood testosterone concentrations compared to normal controls. Psychoneuroendocrinology. 1995;20:553559.CrossRefGoogle ScholarPubMed
10.Shulman, LH, DeRogatis, L, Spielvogel, R, Miller, JL, Rose, LI. Serum androgens and depression in women with facial hirsutism. J Am Acad Dermatol. 1992;27:178181.CrossRefGoogle ScholarPubMed
11.O'Donovan, C, Kusumakar, V, Graves, GR, Bird, DC. Menstrual abnormalities and polycystic ovary syndrome in women taking valproate for bipolar mood disorder. J Clin Psychiatry. 2002;63:322330.CrossRefGoogle ScholarPubMed
12.Rasgon, NL, Altshuler, LL, Gudeman, D, et al. Medication status and polycystic ovary syndrome in women with bipolar disorder: a preliminary report. J Clin Psychiatry. 2000;61:173178.CrossRefGoogle ScholarPubMed
13.Rasgon, NL, Bauer, M, Glenn, T, Elman, S, Whybrow, PC. Menstrual cycle related mood changes in women with bipolar disorder. Bipolar Disorders. 2003;5:4852.CrossRefGoogle ScholarPubMed
14.Sturis, J, Polonsky, KS, Mosekilde, E, Cauter, EA. Computer model for mechanisms underlying ultradian oscillation of insulin and glucose. Am J Physiol. 1991;260(Endocrinol Metab 23):E801E809.Google ScholarPubMed
15.Parry, BL. Reproductive factors affecting the course of affective illness in women. Psychiatric Clin of North America. 1989;12:207220.CrossRefGoogle ScholarPubMed
16.Bogumil, RJ, Ferin, M, Rootenberg, J, Speroff, L, Vande Wiele, RL. Mathematical studies of the human menstrual cycle. I. Formulation of a mathematical model. J Clin Endocrinol Metab 1972;35:126.CrossRefGoogle ScholarPubMed
17.Bogumil, RJ, Ferin, M, Vande Wiele, RL. Mathematical studies of the human menstrual cycle. II. Stimulation performance of a model of the human menstrual cycle. J Clin Endocrinol Metab 1972;35:144.CrossRefGoogle Scholar
18.Santen, RJ, Bardin, CW. Episodic luteinizing hormone secretion in man. Pulse analysis, clinical interpretation, physiologic mechanism. J Clin Invest. 1973;52:26172628CrossRefGoogle Scholar
19.Knobil, E. Neuroendocrine Control of the menstrual cycle. Recent Prog Horm Res. 1980;36:5388.Google ScholarPubMed
20.Pohl, CR, Knobil, E. The role of the central nervous system in the control of ovarian function in higher primates. Ann Rev Physiol. 1982;44:583.CrossRefGoogle ScholarPubMed
21.Carr, BR. Disorders of the ovary and female reproductive tract. In: Wilson, JD, Foster, DW, Kronenberg, HM, and Larsen, PR. Williams Textbook of Endocrinology. WB Saunders, 1998:751818.Google Scholar
22.Fink, G. Gonadotropin secretion and its control. In: Knobil, E and Neill, JD, ed. The Physiology of Reproduction. vol.1 New York, NY: Raven; 1988:13491377.Google Scholar
23.Knobil, E, Plan, TM, Wildt, TL, et al. Control of the rhesus monkey menstrual cycle: permissive role of hypothalamic gonadotropin releasing hormone. Science. 1980;207:13711373.CrossRefGoogle ScholarPubMed
24.Marshall, JC, Dalkin, AC, Haisenleder, DJ, Paul, JS, Ortolano, AG, Kelch, RP. Gonadotropin-releasing hormone pulses: regulators of gonadotropin synthesis and ovulatory cycles. Recent Prog Horm Res. 1991;7:155187.Google Scholar
25.Yen, SSC. The hypothalamic control of pituitary hormone secretion. In: Yen, SSC, ed. Reproductive Endocrinology. Philadelphia, Pa: W.B. Saunders; 1991:65104.Google Scholar
26.Carr, BR. Disorders of the ovary and female reproductive tract. In: Wilson, JD and Foster, DW. Williams, Textbook of Endocrinology. Philadelphia: W.B. Saunders, 1992:733798.Google Scholar
27.Filicori, M, Cognigni, G, Dellai, P, et al. Role of gonadotrophin releasing hormone secretory dynamics in the control of the human menstrual cycle. Hum Reprod. 1993;8(suppl 2):6265.CrossRefGoogle ScholarPubMed
28.Rossmanith, WG. Ultradian and circadian patterns in luteinizing hormone secretion during reproductive life in women. Hum Reprod. 1993;8:7783.CrossRefGoogle ScholarPubMed
29.Crowley, WF JrFilicori, M, Spratt, DL, Santoro, NEThe physiology of gonadotropin releasing hormone (GnRH) secretion in men and women. Recent Prog Horm Res. 1985;41:473531.Google ScholarPubMed
30.Yen, SSC, Jaffe, RB. Reproductive Endocrinology. 3rd ed. Philadelphia, Pa: W.B. Saunders; 1993.Google Scholar
31.Licinio, J, Negrão, AB, Mantzoros, C, et al. Synchronicity of frequently sampled, 24-h concentrations of circulating leptin, luteinizing hormone, and estradiol in healthy women. Proc Natl Acad Sci U S A. 1998;95:25412546.CrossRefGoogle ScholarPubMed
32.Garfinkel, A. A mathematics for physiology. Am J Physiol. 1983;245:R455R466.Google ScholarPubMed
33.Iranmanesh, A, Lizarralde, G, Johnson, ML, Veldhuis, JD. Circadian, ultradian and episodic release of beta endorphin in men, and its temporal coupling with cortisol. J Clin Endocrinol Metab. 1989;68:661670.CrossRefGoogle ScholarPubMed
34.Sollenberger, MJ, Carlsen, EC, et al. Nature of gonadotropin-releasing hormone self-priming of luteinizing hormone secretion during the normal menstrual cycle. Am J Obstet Gynecol. 1990;163:15291534.CrossRefGoogle ScholarPubMed
35.Garfinkel, A, Spano, ML, Ditto, WL, Weiss, JN. Controlling cardiac chaos. Science. 1992;257:12301235.CrossRefGoogle ScholarPubMed
36.Babloyantz, A, Destexhe, A. Low-dimensional chaos in an instance of epilepsy. Proc Natl Acad Sci U S A. 1986;83:35133517.CrossRefGoogle Scholar
37.Basar, E. Chaos in Brain Function. New York, NY: Springer-Verlag; 1990.CrossRefGoogle Scholar
38.Ehlers, CL, Havstad, JW, Garfinkel, A, Kupfer, DJ. Nonlinear analysis of EEG sleep states. Neuropsychopharmacology. 1991;27:95123.Google Scholar
39.Schmidt, GB. Chaos theory and schizophrenia: elementary aspects. Psychopathology. 1991;24:185198.CrossRefGoogle Scholar
40.Gottschalk, A, Bauer, MS, Whybrow, PC. Evidence of chaotic mood variation in bipolar disorder. Arch Gen Psychiatry. 1995;52:947959.CrossRefGoogle ScholarPubMed
41.Hestens, D. A neural network theory of manic-depressive illness. In: Levine, DS, Leven, SJ, eds. Motivation and Goal Direction in Neural Networks. Hillsdale, NJ: Lawrence Erlbaum; 1992.Google Scholar
42.Pezard, L, Nandrino, J-L, Renault, B, et al. Depression as a dynamical disease. Biol Psychiatry. 1996;39:991999.CrossRefGoogle ScholarPubMed
43.Guckenheimer, J, Holmes, P. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. New York, NY: Springer-Verlag; 1983:87.CrossRefGoogle Scholar
44.Leibenluft, E. Women with bipolar illness: clinical and research issues. Am J Psychiatry. 1996;153:163173.Google ScholarPubMed
45.Conrad, CD, Hamilton, JA. Recurrent premenstrual decline in serum lithium concentration: clinical correlates and treatment implications. J Amer Acad Child Psychiatry. 1986;25:852853.CrossRefGoogle ScholarPubMed
46.Hakim, C, Pichot, P. Prophylactic treatment of manic-depressive psychoses with lithium carbonate. Theoretical and practical value of the study of variations of plasma concentrations. Ann Med Psychol (Paris). 1972;1:238246.Google Scholar
47.Kukopulos, A, Reginaldi, D. Variations of serum lithium concentrations correlated with the phases of manic-depressive psychosis. Agressologie. 1978;19:219222.Google ScholarPubMed
48.Chamberlain, S, Hahn, PM, Casson, P, Reid, RL. Effect of menstrual cycle phase and oral contraceptive use on serum lithium levels after a loading dose of lithium in normal women. Am J Psychiatry. 1990;147:907909.Google ScholarPubMed