메뉴 건너뛰기




Volumn 225, Issue 2, 2010, Pages 108-114

Bifurcation analysis of a model for hormonal regulation of the menstrual cycle

Author keywords

Estradiol; Follicle; Parameter; Transcritical bifurcation

Indexed keywords

BIFURCATION ANALYSIS; BIFURCATION DIAGRAM; HORMONAL CONTROL; HORMONAL REGULATION; MENSTRUAL CYCLE; OVARIAN DEVELOPMENT; PARAMETER VALUES; PERIODIC SOLUTION; SENSITIVE PARAMETER; TRANSCRITICAL BIFURCATION; TWO STAGE;

EID: 77952671542     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mbs.2010.02.004     Document Type: Article
Times cited : (11)

References (27)
  • 1
    • 0001798415 scopus 로고
    • Ovarian steroid secretion and metabolism in women
    • Academic Press, London, V.H.T. James, M. Serio, G. Giusti (Eds.)
    • Baird D.T. Ovarian steroid secretion and metabolism in women. The Endocrine Function of the Human Ovary 1976, 125. Academic Press, London. V.H.T. James, M. Serio, G. Giusti (Eds.).
    • (1976) The Endocrine Function of the Human Ovary , pp. 125
    • Baird, D.T.1
  • 3
    • 0015362643 scopus 로고
    • Mathematical studies of the human menstrual cycle. II: simulation performance of a model of the human menstrual cycle
    • Bogumil R.J., Ferin M., Vande Wiele R.L. Mathematical studies of the human menstrual cycle. II: simulation performance of a model of the human menstrual cycle. J. Clin. Endocrinol. Metab. 1972, 35:144.
    • (1972) J. Clin. Endocrinol. Metab. , vol.35 , pp. 144
    • Bogumil, R.J.1    Ferin, M.2    Vande Wiele, R.L.3
  • 4
    • 0001755071 scopus 로고
    • AUTO: a program for the automatic bifurcation analysis of autonomous systems
    • Doedel E.J. AUTO: a program for the automatic bifurcation analysis of autonomous systems. Congressus Numerantium 1981, 30:265.
    • (1981) Congressus Numerantium , vol.30 , pp. 265
    • Doedel, E.J.1
  • 7
    • 77952672340 scopus 로고    scopus 로고
    • Differential equation models for the hormonal regulation of the menstrual cycle, Ph.D. Thesis, North Carolina State University, Raleigh, North Carolina,. Available from: <>.
    • L.A. Harris, Differential equation models for the hormonal regulation of the menstrual cycle, Ph.D. Thesis, North Carolina State University, Raleigh, North Carolina, 2001. Available from: <>. http://www.lib.ncsu.edu/theses/available/etd-04222002-153727/unrestricted/etd.pdf.
    • (2001)
    • Harris, L.A.1
  • 8
    • 0037270478 scopus 로고    scopus 로고
    • Multiple stable periodic solutions in a model for hormonal control of the menstrual cycle
    • Harris-Clark L., Schlosser P.M., Selgrade J.F. Multiple stable periodic solutions in a model for hormonal control of the menstrual cycle. Bull. Math. Biol. 2003, 65:157.
    • (2003) Bull. Math. Biol. , vol.65 , pp. 157
    • Harris-Clark, L.1    Schlosser, P.M.2    Selgrade, J.F.3
  • 9
    • 0001938550 scopus 로고
    • The menstrual cycle and its neuroendocrine control
    • Raven, New York, E. Knobil, J.D. Neill (Eds.)
    • Hotchkiss J., Knobil E. The menstrual cycle and its neuroendocrine control. The Physiology of Reproduction 1994, 711. Raven, New York. second ed. E. Knobil, J.D. Neill (Eds.).
    • (1994) The Physiology of Reproduction , pp. 711
    • Hotchkiss, J.1    Knobil, E.2
  • 10
    • 0015591563 scopus 로고
    • Positive and negative feedback control by estrogen of luteinizing hormone secretion in the rhesus monkey
    • Karsch F.J., Dierschke D.J., Weick R.F., Yamaji T., Hotchkiss J., Knobil E. Positive and negative feedback control by estrogen of luteinizing hormone secretion in the rhesus monkey. Endocrinology 1973, 92:799.
    • (1973) Endocrinology , vol.92 , pp. 799
    • Karsch, F.J.1    Dierschke, D.J.2    Weick, R.F.3    Yamaji, T.4    Hotchkiss, J.5    Knobil, E.6
  • 12
    • 0020509869 scopus 로고
    • Induction of mid-cycle gonadotropin surge by ovarian steroids in women: a critical evaluation
    • Liu J.H., Yen S.S.C. Induction of mid-cycle gonadotropin surge by ovarian steroids in women: a critical evaluation. J. Clin. Endocrinol. Metab. 1983, 57:797.
    • (1983) J. Clin. Endocrinol. Metab. , vol.57 , pp. 797
    • Liu, J.H.1    Yen, S.S.C.2
  • 14
    • 0025165256 scopus 로고
    • Serum inhibin levels during the periovulatory interval in normal women: relationships with sex steroid and gonadotrophin levels
    • McLachlan R.I., Cohen N.L., Dahl K.D., Bremner W.J., Soules M.R. Serum inhibin levels during the periovulatory interval in normal women: relationships with sex steroid and gonadotrophin levels. Clin. Endocrinol. 1990, 32:39.
    • (1990) Clin. Endocrinol. , vol.32 , pp. 39
    • McLachlan, R.I.1    Cohen, N.L.2    Dahl, K.D.3    Bremner, W.J.4    Soules, M.R.5
  • 15
    • 0013118510 scopus 로고
    • The reproductive system in women
    • Grune & Stratton, New York, L.J. DeGroot (Ed.)
    • Odell W.D. The reproductive system in women. Endocrinology 1979, 1383. Grune & Stratton, New York. L.J. DeGroot (Ed.).
    • (1979) Endocrinology , pp. 1383
    • Odell, W.D.1
  • 16
    • 0001420214 scopus 로고
    • Female reproductive function
    • Oxford University, Oxford, J.E. Griffin, S.R. Ojeda (Eds.)
    • Ojeda S.R. Female reproductive function. Textbook of Endocrine Physiology 1992, 134. Oxford University, Oxford. second ed. J.E. Griffin, S.R. Ojeda (Eds.).
    • (1992) Textbook of Endocrine Physiology , pp. 134
    • Ojeda, S.R.1
  • 17
    • 77952674876 scopus 로고    scopus 로고
    • A multiple-inhibin model for the human menstrual cycle, Ph.D. Thesis, North Carolina State University, Raleigh, North Carolina, 2008. Available from: <>.
    • R.D. Pasteur, A multiple-inhibin model for the human menstrual cycle, Ph.D. Thesis, North Carolina State University, Raleigh, North Carolina, 2008. Available from: <>. http://www.lib.ncsu.edu/theses/available/etd-06102008-194807/.
    • Pasteur, R.D.1
  • 18
    • 0026587550 scopus 로고
    • Biological modeling on a microcomputer using standard spreadsheet and equation solver programs: the hypothalamic-pituitary-ovarian axis as an example
    • Plouffe L., Luxenberg S.N. Biological modeling on a microcomputer using standard spreadsheet and equation solver programs: the hypothalamic-pituitary-ovarian axis as an example. Comput. Biomed. Res. 1992, 25:117.
    • (1992) Comput. Biomed. Res. , vol.25 , pp. 117
    • Plouffe, L.1    Luxenberg, S.N.2
  • 19
    • 34249785987 scopus 로고    scopus 로고
    • A complex mathematical model of the human menstrual cycle
    • Reinecke I., Deuflhard P. A complex mathematical model of the human menstrual cycle. J. Theor. Biol. 2007, 247:303.
    • (2007) J. Theor. Biol. , vol.247 , pp. 303
    • Reinecke, I.1    Deuflhard, P.2
  • 20
    • 0033670938 scopus 로고    scopus 로고
    • A model of gonadotropin regulation during the menstrual cycle in women: qualitative features
    • Schlosser P.M., Selgrade J.F. A model of gonadotropin regulation during the menstrual cycle in women: qualitative features. Environ. Health Perspect. 2000, 108(Suppl. 5):873.
    • (2000) Environ. Health Perspect. , vol.108 , Issue.5 SUPPL. , pp. 873
    • Schlosser, P.M.1    Selgrade, J.F.2
  • 21
    • 70049084914 scopus 로고    scopus 로고
    • A model for hormonal control of the menstrual cycle: structural consistency but sensitivity with regard to data
    • Selgrade J.F., Harris L.A., Pasteur R.D. A model for hormonal control of the menstrual cycle: structural consistency but sensitivity with regard to data. J. Theor. Biol. 2009, 260:572.
    • (2009) J. Theor. Biol. , vol.260 , pp. 572
    • Selgrade, J.F.1    Harris, L.A.2    Pasteur, R.D.3
  • 22
    • 0001217610 scopus 로고    scopus 로고
    • A model for the production of ovarian hormones during the menstrual cycle
    • Selgrade J.F., Schlosser P.M. A model for the production of ovarian hormones during the menstrual cycle. Fields Inst. Commun. 1999, 21:429.
    • (1999) Fields Inst. Commun. , vol.21 , pp. 429
    • Selgrade, J.F.1    Schlosser, P.M.2
  • 23
    • 0017281536 scopus 로고
    • The functional changes of the pituitary gonadotrophs during the menstrual cycle
    • Wang C.F., Lasley B.L., Lein A., Yen S.S.C. The functional changes of the pituitary gonadotrophs during the menstrual cycle. J. Clin. Endocrinol. Metab. 1976, 42:718.
    • (1976) J. Clin. Endocrinol. Metab. , vol.42 , pp. 718
    • Wang, C.F.1    Lasley, B.L.2    Lein, A.3    Yen, S.S.C.4
  • 25
    • 0002062198 scopus 로고    scopus 로고
    • Polycystic ovarian syndrome (hyperandrogenic chronic anovulation)
    • W.B. Saunders, Philadelphia, PA, S.S.C. Yen, R.B. Jaffe, R.L. Barbieri (Eds.)
    • Yen S.S.C. Polycystic ovarian syndrome (hyperandrogenic chronic anovulation). Reproductive Endocrinology: Physiology, Pathophysiology and Clinical Management 1999, 436. W.B. Saunders, Philadelphia, PA. fourth ed. S.S.C. Yen, R.B. Jaffe, R.L. Barbieri (Eds.).
    • (1999) Reproductive Endocrinology: Physiology, Pathophysiology and Clinical Management , pp. 436
    • Yen, S.S.C.1
  • 26
    • 0003095174 scopus 로고    scopus 로고
    • The human menstrual cycle: neuroendocrine regulation
    • W.B. Saunders, Philadelphia, PA, S.S.C. Yen, R.B. Jaffe, R.L. Barbieri (Eds.)
    • Yen S.S.C. The human menstrual cycle: neuroendocrine regulation. Reproductive Endocrinology. Physiology, Pathophysiology and Clinical Management 1999, 191. W.B. Saunders, Philadelphia, PA. fourth ed. S.S.C. Yen, R.B. Jaffe, R.L. Barbieri (Eds.).
    • (1999) Reproductive Endocrinology. Physiology, Pathophysiology and Clinical Management , pp. 191
    • Yen, S.S.C.1
  • 27
    • 0000730320 scopus 로고
    • Control of follicular development, corpus luteum function, and the recognition of pregnancy in higher primates
    • Raven, New York, E. Knobil, J.D. Neill (Eds.)
    • Zeleznik A.J., Benyo D.F. Control of follicular development, corpus luteum function, and the recognition of pregnancy in higher primates. The Physiology of Reproduction 1994, 751. Raven, New York. second ed. E. Knobil, J.D. Neill (Eds.).
    • (1994) The Physiology of Reproduction , pp. 751
    • Zeleznik, A.J.1    Benyo, D.F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.