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COS 510: Computational Approaches for Complex Molecular Systems

 

Course Title

Computational Approaches for Complex Molecular Systems

Course Code

COS 510

Course Type

Elective

Level

PhD

Instructor’s Name

Prof. Vangelis Harmandaris (Lead Instructor)

ECTS

5

Lectures / week

2 (90 min. each)

Laboratories / week

 - 

Course Purpose and Objectives

The students will learn fundamental techniques of molecular, primarily classical, simulations (Monte Carlo and Molecular Dynamics), which are used in order to understand and predict properties of microscopic systems in materials science, physics, biology, and chemistry. All students will obtain experience on multi-scalemodelling, as well as on synergistic approaches between simulations and dataanalytics methods. A simulation project composed of scientific research, algorithmdevelopment, and presentation is required.

Learning Outcomes

By the end of the course students will acquire knowledge on the state-of-the-art mathematical and computational methodologies and algorithms across diverse fields.

By the end of the course all students expect to:

-  Have a good understanding on multi-scale simulations and data analytics approaches for studying complex molecular systems;
-  Have experience in applying simulation methods and algorithms for solving problems in physical sciences and engineering;
-  Be able to use, and modify, open source simulation packages for studying complex systems with realistic models;
-  Acquire experience in using large-scale computational infrastructures in order to deal with high dimensional systems;
-  Be able to work in projects via independent work, and develop skills in designing and delivering research seminars;
-  Enhance their understanding on synergistic simulation/data analytics methodologies;
-  Critically assess and evaluate molecular models and results from multi-scale simulations against existing data in literature.

Prerequisites

None

Background Requirements

Knowledge of a programming language

Course Content

Week 1: Introduction to Statistical Mechanics: ensembles, thermodynamic averages, time correlation functions and transport coefficients; Model systems and interaction potentials: constructing an intermolecular potential, initial/boundary conditions.

Week 2: Advanced numerical algorithms: classical many-particle Molecular Dynamics simulations, Monte Carlo methods; Molecular dynamics in various ensembles: constant pressure and temperature.

Week 3: Data analytics methods: Probability, stochastic processes, and stochastic differential equations; Statistical inference: Frequentist, Bayesian, Variational inference, Inference for SDEs. Machine learning: A probabilistic perspective, main algorithms.

Week 4: Free energy calculations: tackling time-scale and rare events problems, biased and constrained simulations, thermodynamic integration,Bennett-Chandler approach, searching for the saddle points; random walk simulations).

Week 5: Multi-scale simulations: Coarse-grained techniques, rigorous potential of mean force based methods, dissipative particle dynamics, Lattice Boltzmann method.

Week 6: Analysing results of simulations: equilibrium averages, fluctuations, structural quantities, real-time correlation functions; Data analysis: data structures, data management; Uncertainty quantification: error estimates, sensitivity analysis.

Week 7: Synergistic approaches between molecular simulations and data analytics methods: Developing molecular (atomistic and coarse-grained models) via Machine Learning algorithms.

Project and essay write-up (weeks 4-7): An individual simulation project composed of scientific research, algorithm development, and presentation for a given problem.

Guest lectures: There will be the possibility for quest lectures from experts in multi-scale modelling and simulations and in data analytics methods for studying complex systems.

Teaching Methodology

-  Lectures
-  Seminars
-  Case studies
-  Simulation Projects.

Bibliography

-  Course notes, research articles
-  “Understanding Molecular Simulation. From Algorithms to Applications” by D. Frenkel and B. Smit, (Academic Press: New York, 2002).
-  “Introduction to Practice of Molecular Simulation” by A. Satoh, (Elsevier: London, 2011).
-  Statistical Mechanics: Theory and Molecular Simulation” by M. Tuckerman (Oxford, 2010).
-  “Machine Learning: a Probabilistic Perspective” by K. Murphy (MIT Press, 2012).

Assessment

The following assessment methods will be combined for the final grade:

-  Coursework
-  Final Project

Language

English