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Pacman percolation: a model for enzyme gel degradation

T. Abete·A. de Candia·D. Lairez·A. Coniglio
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Abstract

We study 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 bonds over which it passes. The model undergoes a (reverse) percolation transition, which for low density of enzymes falls in a universality class different from random percolation. In particular we have measured a gel fraction critical exponent beta=1.0+-0.1, in excellent agreement with experiments made on the real system.

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T. Abete, A. de Candia, D. Lairez, A. Coniglio. 2004-02-23. Pacman percolation: a model for enzyme gel degradation. https://doi.org/10.1103/physrevlett.93.228301

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