[Temporal oscillations in a structured enzymatic medium. Vectorial transport with space-time oscillations Analytic study].

An analytical diffusion-reaction model of chemical time-oscillations is obtained with two Michaelian enzymes and boundaries selectively open to H+ or OH- ions. One reaction produces, and the other one consumes H+ ions. During a half oscillation the high reaction rate is progressively equalled by the rate of diffusion, the substrate is consumed and diffusion through the boundaries brings the pH back toward its original value. Asymmetrical selectivities on the boundaries lead to a new "time oscillatory vectorial transport model".