Stochastic model of admixed basal and pulsatile hormone secretion as modulated by a deterministic oscillator

American Journal of Physiology - Regulatory Integrative and Comparative Physiology

Volumn 273, Issue 3 42-3, 1997, Pages

  Keenan, Daniel M ^a   Veldhuis, Johannes D ^b  

^a University of Virginia   (United States)

^b UNIVERSITY OF VIRGINIA HEALTH SYSTEM   (United States)

Author keywords

Analysis; Biomathematics; Biophysics; Endocrine signals; Neuroendocrine ensembles; Statistics

Indexed keywords

GONADORELIN; LUTEINIZING HORMONE;

ARTICLE; BIOPHYSICS; LUTEINIZING HORMONE RELEASE; MATHEMATICAL ANALYSIS; OSCILLATORY POTENTIAL; PRIORITY JOURNAL; SIGNAL TRANSDUCTION; STATISTICAL ANALYSIS; STOCHASTIC MODEL; TARGET CELL;

EID: 0030759141     PISSN: 03636119     EISSN: None     Source Type: Journal    
DOI: 10.1152/ajpregu.1997.273.3.r1182     Document Type: Article

References (14)

1. Alexander, S. L., and C. H. G. Irvine. Secretion rates and short-term patterns of gonadotropin-releasing hormone, FSH and LH throughout the preovulatory period in the mare. J. Endocrinol. 114: 351-362, 1987.
2. Berman, N., H. F. Chou, A. Berman, and E. Ipp. A mathematical model of oscillatory insulin secretion. Am. J. Physiol. 264: (Regulatory Integrative Comp. Physiol. 33): R839-R851, 1993.
3. Butler, J. P., D. I. Spratt, L. S. O'Dea, and W. F. Crowley. Interpulse interval sequence of LH in normal men essentially constitutes a renewal process. Am. J. Physiol. 250 (Endocrinol. Metab. 13): E338-E340, 1986.
4. Camproux, A. C., J. C. Thalabard, and G. Thomas. Stochastic modeling of the hypothalamic pulse generator activity. Am. J. Physiol. 267 (Endocrinol. Metab. 30): E795-E800, 1994.
5. Cinlar, E. Introduction to Stochastic Processes. Englewood Cliffs, NJ: Prentice-Hall, 1975.
6. Clarke, I. J., and J. T. Cummins. GnRH pulse frequency determines LH pulse amplitude by altering the amount of releasable LH in the pituitary glands of ewes. J. Reprod. Fertil. 73: 425-431, 1985.
7. Cronin, J. The mathematics of biological oscillations. SIAM Rev. 19: 100-138, 1977.
8. Dempster, A. P., N. Laird, and D. B. Rubin. Maximum likelihood from incomplete data via the EM algorithm (with discussion). J. Royal Stat. Soc. B 39: 1-38, 1977.
9. Desjardins, C. Endocrine signaling and male reproduction. Biol. Reprod. 24: 1-21, 1981.
10. 2+ release. Cell Calcium 12: 73-85, 1991.
11. Hartman, M. L., A. C. Faria, M. L. Vance, M. L. Johnson, M. O. Thorner, and J. D. Veldhuis. Temporal structure of in vivo growth hormone secretory events in man. Am. J. Physiol. 260 (Endocrinol. Metab. 23): E101-E110, 1991.
12. Hopppensteadt, F., and C. Peskin. Mathematics in Medicine and the Life Sciences. NY: Springer-Verlag, 1992.
13. Iranmanesh, A., B. Grisso, and J. D. Veldhuis. Low basal and persistent pulsatile growth hormone secretion are revealed in normal and hyposomatotropic men studied with a new ultrasensitive chemiluminescence assay. J. Clin. Endocrinol. Metab. 78: 526-535, 1994.
14. Jusko, W. J., W. R. Slaunwhite, Jr., and T. Aceto, Jr. Partial pharmacodynamic model for the circadian-episodic secretion of cortisol in man. J. Clin. Endocrinol. Metab. 40: 278-289, 1975.