Abstract
We propose a mathematical model for the regulation system of the secretion of glucocorticoids and determined the coefficients in the system of ordinary differential equations. Some results are calculated which agree with the experimental results.
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ColbyH. D., MalendowiczL. K., and CaffreyJ. L., 1975, Role of adrenal 5-reductase activity in determining the responsiveness of hypophysectomized rats to ACTH, Endocrinology 96, 1153–1157.
DallmanM. F. and YatesF. E., 1969, Dynamic asymmetries in the corticosteroid feedback path and distribution-metabolism binding elements of the adrenocortical system, Ann. N.Y. Acad. Sci. 156, 696–721.
FraglyM. J. and LuttgeW. G., 1982, Human Endocrinology, Elsevier, New York, p. 117.
HardyR. N., 1981, Endocrine Physiology, Edward Arnold, London, p. 119.
JonesM. T., GillhamB., and MahmoudS., 1978, Hypothalamus and ACTH Secretion, in V. H. T.James et al. (eds.) The Endocrine Function of the Human Adrenal Cortex, Academic Press, New York, fig. 12, p. 70.
KriegerD. T., 1979, Plasma ACTH and Corticosteroids, in L. J.DeGroot et al. (eds.), Endocrinology, Grune and Stratton, New York, vol. 2, pp. 1141–1145.
LandoD. and RaynaudJ. P., 1980, Effect of ACTH and glucocorticoids on biological parameters in hypophysectomized rats, Endocrinology 107, Tab. 2, 2065.
LiuJ. H., MuseK., ContrerasR., GibbsD., ValeW., RivierJ., and YenS. S. C., 1983, Augmentation of ACTH-releasing activity of synthetic corticotropin releasing factor (CRF) by vasopressin in women, J. Clin. Endocrinol. Metab. 57, 1087–1089.
NicolisG. and PrigogineI., 1977, Self-Organization in Non-Equilibrium System, John Wiley, New York, p. 166.
SchulteH. M., ChrousosG. P., BoothJ. D., OldfieldE. H., GoldP. W., CutlerG. B.Jr., and LoriauxD. L., 1984, Corticotropin releasing factor: pharmacokinetics in man, J. Clin. Endocrinol. Metab. 58, 192–196.
SchurmeyerT. H., AvgerinosP. C., GoldP. W., GallucciW. T., TommaiT. P., and CutlerG. B.: 1984, Human corticotropin-releasing factor in man: Pharmacokinetic properties and dose-response of plasma adrenocorticotropin and cortisol secretion, J. Clin. Endocrinol. Metab. 59, 1103–1108.
StallaG. K., HartwimmerJ., VonWerderK., and MullerO. A., 1986, Intravenous application of ovine and human CRF levels, Neuroendocrinology 42, 1–5.
StallaG. K., HartwimmerJ., VonWerderK., and MullerO. A., 1984, Ovine (o) and human (h) corticotropin-releasing factor (CRF) in man: CRF-stimulation and CRF-immunoreactivity, Acta Endocrinologica 106, 289–297.
TanakaKoshi, WatanabeT., and ShimizuN., 1984, Clinical application of corticotropin-releasing factor, Hormones 32, 1053–1059 (in Japanese).
TeppermanJ., 1980, Metabolic and Endocrine Physiology, Year Book Medical Publishers, Chicago, p. 178.
TsukadaT., WatabeT., NakaharaM., SudaT.,and TomoriN., 1983, Plasma adrenocorticotropin and cortisol response to intravenous injection of corticotropin-releasing factor in the morning and evening, J. Clin. Endocrinol. Metab. 57, 869–871.
Urguhart, J., 1974, Physiological action of adrenocorticotrophic hormone, in Handbook of Physiology, American Physiological Society, p. 133.
UspenskyJ., 1948, Theory of Equations, McGraw-Hill, New York.
YatesF. E., 1969, The adrenal glucocorticoid endocrine system: Simulation of a biological controller, J. Basic Engr. 92, 305–312.
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Bingzheng, L., Zhenye, Z. & Liansong, C. A mathematical model of the regulation system of the secretion of glucocorticoids. J Biol Phys 17, 221–233 (1990). https://doi.org/10.1007/BF00386598
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DOI: https://doi.org/10.1007/BF00386598