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Kinetic Memory Based on the Enzyme-Limited Competition
Figure 2
Slow logarithmic relaxation of the chained modification model.
The initial condition is set as 
and 
for other 
, and the relaxation process of the modification level is computed without input (
). The parameters are given as 
, 
, and 
. The time courses for the modification level for different values of the catalyst concentration, 
, 
, 
, 
, 
, 
, 
, 
, and 
, are plotted with different colors, where the concentration of 
is fixed at 
. Although exponential relaxation is observed as in first-order reactions (dotted line) when the concentration of the catalyst is sufficiently large, the relaxation is drastically slowed as the concentration of the catalyst becomes lower than that of the substrate.
doi: https://doi.org/10.1371/journal.pcbi.1003784.g002