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It seems necessary to consider the functioning of biological systems on the basis of agonistic and antagonistic actions of a couple of elements. Here, the adrenal postpituitary system is considered. We show how such a view allowed us to give an account of diverse phenomena, noticeably the lack of response to Cortisol. It gave also rise to “paradoxical” therapies in the sense that both hormones had to be administered in case of an imbalance. A mathematical model helps one to become accustomed to these notions and, perhaps, is able to directly improve therapeutical strategies.

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