| Autor: |
Smith A; Department of Chemical and Biological Engineering, University of Wisconsin, Madison, Wisconsin 53706, United States., Runde S; Department of Chemical and Biological Engineering, University of Wisconsin, Madison, Wisconsin 53706, United States., Chew AK; Department of Chemical and Biological Engineering, University of Wisconsin, Madison, Wisconsin 53706, United States., Kelkar AS; Department of Chemical and Biological Engineering, University of Wisconsin, Madison, Wisconsin 53706, United States., Maheshwari U; Department of Electrical and Computer Engineering, University of Wisconsin, Madison, Wisconsin 53706, United States., Van Lehn RC; Department of Chemical and Biological Engineering, University of Wisconsin, Madison, Wisconsin 53706, United States., Zavala VM; Department of Chemical and Biological Engineering, University of Wisconsin, Madison, Wisconsin 53706, United States. |
| Abstrakt: |
Molecular dynamics (MD) simulations are used in diverse scientific and engineering fields such as drug discovery, materials design, separations, biological systems, and reaction engineering. These simulations generate highly complex data sets that capture the 3D spatial positions, dynamics, and interactions of thousands of molecules. Analyzing MD data sets is key for understanding and predicting emergent phenomena and in identifying key drivers and tuning design knobs of such phenomena. In this work, we show that the Euler characteristic (EC) provides an effective topological descriptor that facilitates MD analysis. The EC is a versatile, low-dimensional, and easy-to-interpret descriptor that can be used to reduce, analyze, and quantify complex data objects that are represented as graphs/networks, manifolds/functions, and point clouds. Specifically, we show that the EC is an informative descriptor that can be used for machine learning and data analysis tasks such as classification, visualization, and regression. We demonstrate the benefits of the proposed approach through case studies that aim to understand and predict the hydrophobicity of self-assembled monolayers and the reactivity of complex solvent environments. |
