New perspectives on protein flexibility: Monte Carlo Markov Chain algorithms for structural and thermodynamic studies on proteins
A central problem in computational structural biology is to design effective algorithms dealing with high dimensional conformationalspaces, also shedding light on the intrinsic complexity of the problems tackled (identifying meta-stable states, computing free energies, computing kinetic constants). In this talk, I will review recent work on Monte Carlo Markov chains (MCMC) algorithms of the Hit-and-Run type, for two seemingly unrelated problems: computing the volume of high dimensional polytopes, and sampling the conformational space of long flexible molecules. I will also discuss the connexion with densities of states (DoS) calculations, to reliably estimate thermodynamic properties of biomolecular systems with hundreds of degrees of freedom. [1] Geometric constraints within tripeptides and the existence of tripeptide reconstructionsT. O'Donnell, and F. Cazalshttps://www.biorxiv.org/content/10.1101/2022.06.21.497005v2 [2] Enhanced conformational exploration of protein loops using a global parameterization of the backbone geometryT. O'Donnell, and F. Cazalshttps://www.biorxiv.org/content/10.1101/2022.06.21.497022v2 [3] Efficient computation of the the volume of a polytope in high-dimensions using Piecewise Deterministic…