Découplage et immersion d’un modèle neuro-endocrinien (Decoupling and immersion of a neuro-endocrine model). (French) Zbl 0569.92006

The authors apply a method, recently established by the first of them [see Syst. Control Lett. 1, 242-248 (1982; Zbl 0473.93043)], of decoupling a nonlinear system and immersing it into a linear system, to the vasopressin-corticoid-system and its external control.
This hormonal system can be modelled by third degree polynomials, and the same relationship applies to hormones administrated to a patient. The authors are able to decouple this system and immerse it into a linear system.
Furthermore, they have implemented their solution on a personal computer and report some practical experiences with real data. A surprising result is, that in cases of too high vasopressin levels one should administer just this hormone to normalize its concentration, a consequence of the ago-antagonistic behavior.
Reviewer: R.Repges


92Cxx Physiological, cellular and medical topics
93C10 Nonlinear systems in control theory
92C50 Medical applications (general)
93C05 Linear systems in control theory