DYNAMIC BEHAVIOR OF AN IMMOBILIZED PAPAIN MEMBRANE SYSTEM UNDER FORCED-OSCILLATIONS

Nonlinear dynamic behavior of a diffusion-reaction system involved in an enzymatic membrane containing papain has been investigated numerica lly. Forced external oscillations of substrate or DH have led to vario us phase-locking patterns in the parameter space of the forcing freque ncy relative to the natural frequency of the unperturbed oscillations and the amplitude. Chaotic behavior near the period-doubling cascade i s observed in the parameter space. When the external conditions are va ried periodically, this behavior is found everywhere in the membrane; however, the magnitude of the largest Lyapunov exponent characterizing it depends on the location.