Percolation model for enzyme gel degradation

A model for the gel degradation by an enzyme, where the gel is schematized as a cubic lattice, and the enzyme as a random walker, that cuts the bond over which it passes was studied. The model was found to undergo a reverse random percolation which, for low density enzymes falls within a universality class different from random percolation. The change in the critical indices was also found to be due to long range correlation. The study shows that if the density of the enzymes is sufficiently high, the correlation between bonds disappears and there is a crossover to random percolation.