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Kinetic Memory Based on the Enzyme-Limited Competition
Figure 7
The extended Asakura-Honda model (A) and its slow logarithmic relaxation after exposure to an environmental stimulus (B).
After the system is relaxed in the presence of the attractant as 
, the system transitions to a repellant condition as 
, and the relaxation process of 
is computed. The parameters are given as 
, 
, and 
. The time courses of 
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 the original A-H model (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.g007