Random walks in the space of conformations of toy proteins

Details Random walks in the space of conformations of toy proteins Random walks in the space of conformations of toy proteins

1999-05-07

arxiv.org/abs/cond-mat/9905106v1

Phys. Rev. Lett., v. 84, n. 8, pp. 1828-1831, 2000.

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.84.1828

Monte Carlo dynamics of the lattice 48 monomers toy protein is interpreted as a random walk in an abstract (discrete) space of conformations. To test the geometry of this space, we examine the return probability $P(T)$, which is the probability to find the polymer in the native state after $T$ Monte Carlo steps, provided that it starts from the native state at the initial moment. Comparing computational data with the theoretical expressions for $P(T)$ for random walks in a variety of different spaces, we show that conformational spaces of polymer loops may have non-trivial dimensions and exhibit negative curvature characteristic of Lobachevskii (hyperbolic) geometry.

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