On the Diffusion Time Evolution of Folding Chains in the Heteropolymer Model

Abstract

In this paper, we mathematically describe the time evolution of protein folding features via Iori et al.'s heteropolymer model. More specifically, we identify that the folding amino acid chain evolve according to a power law $D \sim t^{\nu}$. The power $\nu$ decreases from $0.\overline{66}$ to $0.5$ when the randomness of the coupling constants in the Lennard-Jones potential increases.