Publication

Exploring the energy landscapes of flexible molecular loops using higher-dimensional continuation

Journal Article (2013)

Journal

Journal of Computational Chemistry

Pages

234-244

Volume

34

Number

3

Doc link

http://dx.doi.org/10.1002/jcc.23128

File

Download the digital copy of the doc pdf document

Abstract

The conformational space of a flexible molecular loop includes the set of conformations fulfilling the geometric loop-closure constraints and its energy landscape can be seen as a scalar field defined on this implicit set. Higher-dimensional continuation tools, recently developed in dynamical systems and also applied to robotics, provide efficient algorithms to trace out implicitly defined sets. This article describes these tools and applies them to obtain full descriptions of the energy landscapes of short molecular loops that, otherwise, can only be partially explored, mainly via sampling. Moreover, to deal with larger loops, this article exploits the higher-dimensional continuation tools to find local minima and minimum energy transition paths between them, without deviating from the loop-closure constraints. The proposed techniques are applied to previously studied molecules revealing the intricate structure of their energy landscapes.

Categories

robots.

Author keywords

molecular loop modeling, energy landscapes, differential geometry, higher-dimensional continuation, manifolds, bifurcations

Scientific reference

J.M. Porta and L. Jaillet. Exploring the energy landscapes of flexible molecular loops using higher-dimensional continuation. Journal of Computational Chemistry, 34(3): 234-244, 2013.