Pal Subrata. Mathematical Approaches to Molecular Structural Biology

Academic Press, 2023. — 311 p. — ISBN 978-0-323-90397-4.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.Mathematical preliminaries
Vector spaces and matrices
Matrix decomposition
Vector calculus
Integral transform
Probability and statistics
X-ray crystallography
Cryo-electron microscopy
Biomolecular structure and dynamics