Kinetic Memory Based on the Enzyme-Limited Competition
Figure 5
Dependence of the relaxation process on the magnitude and duration of a stimulus.
(A) The relaxation time after exposure to the stimulus with various magnitudes and durations is plotted as a color map. The initial condition is given as and
for
, and the input is given as
for
and
for
. When the magnitude (
) and duration of the stimulus (
) increase,
increases continuously over an order of magnitude. The catalyst concentration is set at
of the substrate concentration. (B) Dependence of the relaxation process on the duration of stimulus exposure. The duration of stimulus exposure is changed while the magnitude is fixed at
. Here, the relaxation time increases nearly exponentially with the increase in duration for the some extent small
. When
is sufficiently long, the modification is maintained for a long time.