[Analytical study and physiological consequences of a model of respiration]

The author, starting from the pattern established by Brocas and Cherruault (1973), develops new equations by considering the dynamics of breathing. He distinguishes space without exhanges, called 'blower' and space with exchanges, called 'exchanger'. The equations are studied and explicit solutions are found by an original method. The necessity for a neutral gas is proved. The author develops periodic functions for ventilation, for gas pressures in the air and in the blood and control functions such as differences of pressure between aerial- and blood-dissolved gas at the bottom of the alveola, consumption of O2 and excretion of CO2 and remaining CO2 in blood. The control functions oscillate around zero for the differences and around constants for the others. Examining the effects of frequency of breathing, blood flow, variations of transerval diffusivities, atmospheric pressure, variation of the dimensions connected with fever, infections, altitude and depth, sclerosis and even emotions, he again determines the pathologies, their auscultation symptoms and other aspects.