Sur une symétrie fondamentale entre la morphogenèse et le fonctionnement des organes arborisés

It is generally difficult to find any relationship between the morphogenesis of an organ and its final function. A priori, such a relationship has no reason to exist, since organs do not actually function during their formation. I will show in this article that, for a very large class of organs – the branched organs – there exists a hidden relationship between their morphogenesis and their function. This class of organs comprises : the lungs, the salivary mammary and lacrymal glands, the kidneys, the pancreas, and possibly other organs, such as testes. For all these organs, a fundamental fact that comes from recent developments in physics explains at the same time how they form, and why they work. This suggests, first, that complex organs are not the result of gradual and long selection processes, and, second, that this specific structure for the organs is imposed by the laws of physics. The growth process, as described here, is possibly the only one that allows both to build a fluid-secreting organ, and make it work.