A Multi-Tree Approach to Compute Transition Paths on Energy Landscapes

Exploring the conformational energy landscape of a molecule is an important but challenging problem because of the inherent complexity of this landscape. As part of this theme, various methods have been developed to compute transition paths between stable states of a molecule. Besides the methods classically used in biophysics/biochemistry, a recent approach originating from the robotics community has proven to be an efficient tool for conformational exploration. This approach, called the Transition-based RRT (T-RRT) is based on the combination of an effective path planning algorithm (RRT) with a Monte-Carlo-like transition test. In this paper, we propose an extension to TRRT based on a multi-tree approach, which we call Multi-T-RRT. It builds several trees rooted at different interesting points of the energy landscape and allows to quickly gain knowledge about possible conformational transition paths. We demonstrate this on the alanine dipeptide.

[1]  John D. Chodera,et al.  Long-Time Protein Folding Dynamics from Short-Time Molecular Dynamics Simulations , 2006, Multiscale Model. Simul..

[2]  Amarda Shehu,et al.  Evolutionary-inspired probabilistic search for enhancing sampling of local minima in the protein energy surface , 2012, Proteome Science.

[3]  Juan Cortés,et al.  Randomized tree construction algorithm to explore energy landscapes , 2011, J. Comput. Chem..

[4]  A. Heuer Energy Landscapes. Applications to Clusters, Biomolecules and Glasses. By David J. Wales. , 2005 .

[5]  Lydia E Kavraki,et al.  Computational models of protein kinematics and dynamics: beyond simulation. , 2012, Annual review of analytical chemistry.

[6]  Bruce Randall Donald,et al.  Algorithmic and Computational Robotics: New Directions , 2001 .

[7]  Thierry Siméon,et al.  Motion planning algorithms for molecular simulations: A survey , 2012, Comput. Sci. Rev..

[8]  Stephen R. Wilson,et al.  Applications of simulated annealing to the conformational analysis of flexible molecules , 1991 .

[9]  Berend Smit,et al.  Understanding Molecular Simulations: from Algorithms to Applications , 2002 .

[10]  Steven M. LaValle,et al.  Rapidly-Exploring Random Trees: Progress and Prospects , 2000 .

[11]  Berend Smit,et al.  Understanding molecular simulation: from algorithms to applications , 1996 .

[12]  J. Doye,et al.  Global Optimization by Basin-Hopping and the Lowest Energy Structures of Lennard-Jones Clusters Containing up to 110 Atoms , 1997, cond-mat/9803344.