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Conformational Ensembles from Experimental Data

and Computer Simulations

Poster Abstracts

108 

73-POS

Board 33

Dimensional Reduction of Markov State Models from Renormalization Group Theory

Simone Orioli

1,2

, Pietro Faccioli

1,2

.

1

University of Trento, Trento, Trento, Italy,

2

Trento Institute for Fundamental Physics, Trento,

Trento, Italy.

In this work we used Renormalization Group (RG) theory to define a rigorous algorithm to

cluster the microstates of a Markov State Model into macrostates. The result is a lower-

dimensional Master Equation which yields the optimal reduced Markovian description of the

system’s relaxation kinetics. To illustrate and validate our method we analyze a number of test

systems of increasing complexity, ranging from synthetic toy models to atomistic molecular

dynamics smulations. In all cases, the low-dimensional Markov State Model is found to

reproduce the kinetics of the original model with very high accuracy, with a relative error of at

most a few percent.