Could a Model for the Regulation of ago-Antagonistic Couples Be Related to Various Types of Concrete Systems?
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.
KeywordsCircadian Rhythm Parametric Field Physiological Model Concrete System Plasma Vasopressin
Unable to display preview. Download preview PDF.
- 2.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).Google Scholar
- 8.R. Wever, “A mathematical model for circadian rhythms,” In: Circadian Clocks, edited by J. Aschoff, North Holland Publishing, Amsterdam, pp. 47–63, 1965.Google Scholar
- 11.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.Google Scholar
- 13.F. E. Yates, R. D. Brennan, and J. Urquhart, “Adrenal glucocorticoid control system,” Fed. Proced., 28, January-February 1969, pp. 71–83.Google Scholar
- 14.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, 1972Google Scholar
- 17.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.Google Scholar
- 18.E. Bernard-Weil, “L’Arc et la Corde. Un modèle d’antagonismes dialectiques en biologie et sciences humaines,” Maloine, Paris, 1975.Google Scholar
- 19.E. Bernard-Weil, “Mathematical model of “ago-antagonistic” couples. Consideration of a binary dialectic,” Cybernetica, 18, March 1975, pp. 33–47.Google Scholar