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Conformational Ensembles from Experimental Data

and Computer Simulations

Poster Abstracts

44 

11-POS

Board 11

Density of State Estimates for Conformational Ensembles Using an Improved Wang-

Landau Algorithm

Augustin Chevallier

, Frederic Cazals.

INRIA, Sophia Antipolis, France.

Generalized ensemble methods have proven effective to explore the energy landscape of

complex systems. Among the available options, the Wang-Landau (WL) algorithm implements a

random walk in energy space, from which the density of states is obtained.

However, even though several improvements have been proposed, notably on the choice of

proper bin size and random walk [1], obtaining effective convergence using Wang-Landau is still

challenging. Practically, differences in flatness and high dimensional effects (measure

concentration) are major hurdles for convergence.

To address these problems, we introduce two novel strategies based upon non symmetric random

walks and the exploitation by the random walk of local geometric features of the landscape.

In addition, there exists very few versatile implementations of the Wang-Landau algorithm. We

provide such an implementation, in C++, decoupling all key ingredients of the algorithm

(physical system, data structures, flat histogram rule, etc). The code, which is to be released in

the Structural Bioinformatics Library [3], is used to obtain results on peptides and a model

protein (BLN69), whose energy landscapes have been studied elsewhere [4,5]. Convergence

speedups of several orders of magnitude are obtained.

[1] Bornn, Jacob, Del Moral and Doucet

An adaptive interacting Wang--Landau algorithm for automatic density exploration

J. of Computational and Graphical Statistics, 22 (3), 2013

[2] Chevallier and Cazals

Exploiting geometric features of the Potential Energy Landscape improves the convergence

speed of Wang-Landau

Submitted, 2017.

[3] The Structural Bioinformatics Library: modeling in biomolecular science and beyond

Cazals and Dreyfus

Bioinformatics, 7 (33), 2017

[4] Hybridizing rapidly growing random trees and basin hopping yields an improved exploration

of energy landscapes

Roth, Dreyfus, Robert and Cazals

J. of Computational Chemistry, 37 (8), 2016.