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.
- Includes a detailed introduction to key mathematical principles and their application to molecular structural biology
- Explores the mathematical underpinnings behind advanced techniques such as X-ray crystallography and Cryo-electron microscopy
- Features step-by-step protocols that illustrate mathematical and statistical principles for studying molecular structure and dynamics
- Provides a basis for further investigation into the field of computational molecular biology
- Includes figures and graphs throughout to visually demonstrate the concepts discussed
1. Mathematical Preliminaries
2. 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
Subrata Pal obtained his bachelors and masters degrees, both in physics, from Calcutta University. Subsequently, he pursued his predoctoral research in molecular biology and received a PhD degree from the same university in 1982. He carried out his postdoctoral research in DNA replication and gene expression at two of the premiere institutions in the USA: the National Institutes of Health, Bethesda, Maryland and Harvard Medical School, Boston Massachusetts. At Harvard, he received a Claudia Adams Barr special investigator award for basic contribution to cancer research. Professor Pal has a long teaching experience at the undergraduate and graduate levels the areas of his teaching include physics, molecular biology and genomics.
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