Mathematical Approaches to Molecular Structural Biology offers a comprehensive overview of the mathematical foundations behind the study of biomolecular structure. Initial chapters provide an introduction to the mathematics associated with the study of molecular structure, such as vector spaces and matrices, linear systems, matrix decomposition, vector calculus, probability and statistics. The book then moves on to more advanced areas of molecular structural biology based on the mathematical concepts discussed in earlier chapters. Here, key methods such as X-ray crystallography and cryo-electron microscopy are explored, in addition to biomolecular structure dynamics within the context of mathematics and physics.
This book equips readers with an understanding of the fundamental principles behind structural biology, providing researchers with a strong groundwork for further investigation in both this and related fields.
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Table of Contents
1. Mathematical Preliminaries2. Vector Spaces and Matrices
3. Matrix Decomposition
4. Vector Calculus
5. Integral Transform
6. Probability and Statistics
7. X-ray Crystallography
8. Cryo-Electron Microscopy
9. Biomolecular Structure and Dynamics
