Abstract
A model for the regulation of ago-antagonistic couples has been built in order to solve some physiopathological and therapeutical problems related to a special type of endocrine disorders, the unbalance which can happen within the dynamics between adrenocortical hormones (ACH) on the one hand, and antidiuretic hormone (ADH) of neuropostpituitary origin on the other hand. These hormones have antagonistic actions as far as water diuresis, water shifts in interstitial and cell body compartments, extracellular osmolarity (natremia), and also glycemia, cell growth and multiplication... are concerned; and agonistic actions as far as volemia, response to the stress... are concerned. One can admit that in the physiological state, there is a balance between both types of secretion: antagonistic balance when x — y (x = ADH action; y = ACH action, with a convenient common unit), agonistic balance when x + y = m (m = parameter). So the reference values of x and y are fixed in a model which returns to 0 the values of u = x — y and v = x + y — m after a perturbation of the system.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
F. L. Dunn, T. J. Brennan, A. E. Nelson et al., “The role of blood osmolarity and volume in regulating vasopressin secretion in the rat,” J. Clin. Invest., 52, December 1973, pp. 3212–3219.
E. Bernard-Weil, M. Duvelleroy, and Y. Cherruault, “Computer analogic simu tion of a model for the regulation of ago-antagonistic couples,” Int. J. Biomed. Comput., 1977(to appear).
E. Bernard-Weil, M. Duvelleroy, and J. Droulez, “Analogical study of a model for the regulation of ago-antagonistic couples. Application to adrenalpostpituitary interrelationships,” Mathem. Biosc., 27, November 1975, pp. 333–348.
L. Share, and R. H. Travis, “Plasma vasopressin concentration in the adrenally insufficient dog,” Endocrinology, 86, February 1970, pp. 196–201.
M. K. Wiley, A. F. Pearlmutter, and R. E. Miller, “Decreased adrenal sensitivity to ACTH in the vasopressin deficient (Brattlboro) rat,” Neuroendocrinology, 14, pp. 257–270, 1974.
C. J. Migeon, F. H. Tyler, and W. P. Mahoney et al., “Dihydroepiandrosterone and androstene levels in human plasma. Effects of age and sex; day-to-day and diurnal variations,” J. Clin. Endocr. Metab., 41, September 1957, pp. 1051–1062.
C. P. George, F. H. Messerli, J. Genest et al., “Diurnal variations of plasma vasopressin in man,” J. Clin. Endocr. Metab., 41, August 1975, pp. 332–338.
R. Wever, “A mathematical model for circadian rhythms,” In: Circadian Clocks, edited by J. Aschoff, North Holland Publishing, Amsterdam, pp. 47–63, 1965.
T. Nichols, C. A. Nugent, and F. H. Tyler, “Diurnal variations in suppression of adrenal function by glucocorticoids,” J. Clin. Endocr. Metab., 25, March 1965, pp. 343–349.
E. Bernard-Weil, and C. Da Lage, “Inhibition by Cortisol of the favourable action of lysine-vasopressin on the growth of HeLa cell cultures,” Experimentia, 24, 15 October 1968.
E. Bernard-Weil, J. Landau-Ferey, D. Ancri, and B. Pertuiset, “Clinical effect of combined vasopressin-corticoid therapy on patients with recurrent grade III astrocytomas,” Neuro-chirurgia, 15 July 1972, pp. 127–134.
E. Bernard-Weil, and J. P. Pilleron, “Association between vasopressin and corticosteroids in the palliative treatment of advanced breast cancers,” Oncology, 28, pp. 492–508, 1973.
F. E. Yates, R. D. Brennan, and J. Urquhart, “Adrenal glucocorticoid control system,” Fed. Proced., 28, January-February 1969, pp. 71–83.
E. Papaikonomou, “A cybernetical approach to the hypothalamo-pituitary/adrenal system,” In: Progress in Brain Research, edited by J. Ariens-Kappers and J. P. Schade, Vol. 38, Elsevier Scientific Publishers Co., Amsterdam, pp. 293–302, 1972
D. S. Gann, “Parameters of the stimulus initiating the adrenocortical response to hemorrhage,” Ann. N.Y. Acad. Sci., 156, 21 April 1969, pp. 740–755.
J. C. De Haven, and N. Z. Shapiro, “Simulation of the renal effects of antidiuretic hormone in man,” J. Theor. Biol., 28, August 1970, pp. 261–286.
E. B. Reeve, and L. Kulhanek, In: Physical Bases of Circulatory Transport, Regulation and Exchange, edited by E. B. Reeve, A. C. Guyton, W. B. Saunders, Philadelphia, 1967.
E. Bernard-Weil, “L’Arc et la Corde. Un modèle d’antagonismes dialectiques en biologie et sciences humaines,” Maloine, Paris, 1975.
E. Bernard-Weil, “Mathematical model of “ago-antagonistic” couples. Consideration of a binary dialectic,” Cybernetica, 18, March 1975, pp. 33–47.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1978 Springer Science+Business Media New York
About this chapter
Cite this chapter
Bernard-Weil, E. (1978). Could a Model for the Regulation of ago-Antagonistic Couples Be Related to Various Types of Concrete Systems?. In: Klir, G.J. (eds) Applied General Systems Research. NATO Conference Series, vol 5. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-0555-3_48
Download citation
DOI: https://doi.org/10.1007/978-1-4757-0555-3_48
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4757-0557-7
Online ISBN: 978-1-4757-0555-3
eBook Packages: Springer Book Archive