Mathematical Approaches To Molecular Structural Biology

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Mathematical Approaches To Molecular Structural Biology

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Author : Subrata Pal
language : en
Publisher: Elsevier
Release Date : 2022-11-19

Mathematical Approaches To Molecular Structural Biology written by Subrata Pal and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-19 with Science categories.

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

Algorithms In Structural Molecular Biology

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Author : Bruce R. Donald
language : en
Publisher: MIT Press
Release Date : 2023-08-15

Algorithms In Structural Molecular Biology written by Bruce R. Donald and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-15 with Science categories.

An overview of algorithms important to computational structural biology that addresses such topics as NMR and design and analysis of proteins.Using the tools of information technology to understand the molecular machinery of the cell offers both challenges and opportunities to computational scientists. Over the past decade, novel algorithms have been developed both for analyzing biological data and for synthetic biology problems such as protein engineering. This book explains the algorithmic foundations and computational approaches underlying areas of structural biology including NMR (nuclear magnetic resonance); X-ray crystallography; and the design and analysis of proteins, peptides, and small molecules. Each chapter offers a concise overview of important concepts, focusing on a key topic in the field. Four chapters offer a short course in algorithmic and computational issues related to NMR structural biology, giving the reader a useful toolkit with which to approach the fascinating yet thorny computational problems in this area. A recurrent theme is understanding the interplay between biophysical experiments and computational algorithms. The text emphasizes the mathematical foundations of structural biology while maintaining a balance between algorithms and a nuanced understanding of experimental data. Three emerging areas, particularly fertile ground for research students, are highlighted: NMR methodology, design of proteins and other molecules, and the modeling of protein flexibility. The next generation of computational structural biologists will need training in geometric algorithms, provably good approximation algorithms, scientific computation, and an array of techniques for handling noise and uncertainty in combinatorial geometry and computational biophysics. This book is an essential guide for young scientists on their way to research success in this exciting field.

Mathematical Approaches To Biomolecular Structure And Dynamics

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Author : Jill P. Mesirov
language : en
Publisher: Springer Science & Business Media
Release Date : 1996-08-29

Mathematical Approaches To Biomolecular Structure And Dynamics written by Jill P. Mesirov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-08-29 with Science categories.

This IMA Volume in Mathematics and its Applications MATHEMATICAL APPROACHES TO BIOMOLECULAR STRUCTURE AND DYNAMICS is one of the two volumes based on the proceedings of the 1994 IMA Sum mer Program on "Molecular Biology" and comprises Weeks 3 and 4 of the four-week program. Weeks 1 and 2 appeared as Volume 81: Genetic Mapping and DNA Sequencing. We thank Jill P. Mesirov, Klaus Schulten, and De Witt Sumners for organizing Weeks 3 and 4 of the workshop and for editing the proceedings. We also take this opportunity to thank the National Institutes of Health (NIH) (National Center for Human Genome Research), the National Science Foundation (NSF) (Biological Instrumen tation and Resources), and the Department of Energy (DOE), whose fi nancial support made the summer program possible. A vner Friedman Robert Gulliver v PREFACE The revolutionary progress in molecular biology within the last 30 years opens the way to full understanding of the molecular structures and mech anisms of living organisms. Interdisciplinary research in mathematics and molecular biology is driven by ever growing experimental, theoretical and computational power. The mathematical sciences accompany and support much of the progress achieved by experiment and computation as well as provide insight into geometric and topological properties of biomolecular structure and processes. This volume consists of a representative sample of the papers presented during the last two weeks of the month-long Institute for Mathematics and Its Applications Summer 1994 Program in Molecular Biology.

Mathematics Of Bioinformatics

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Author : Matthew He
language : en
Publisher: John Wiley & Sons
Release Date : 2011-03-16

Mathematics Of Bioinformatics written by Matthew He and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-16 with Computers categories.

Mathematics of Bioinformatics: Theory, Methods, and Applications provides a comprehensive format for connecting and integrating information derived from mathematical methods and applying it to the understanding of biological sequences, structures, and networks. Each chapter is divided into a number of sections based on the bioinformatics topics and related mathematical theory and methods. Each topic of the section is comprised of the following three parts: an introduction to the biological problems in bioinformatics; a presentation of relevant topics of mathematical theory and methods to the bioinformatics problems introduced in the first part; an integrative overview that draws the connections and interfaces between bioinformatics problems/issues and mathematical theory/methods/applications.

Structural Bioinformatics

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Author : Forbes J. Burkowski
language : en
Publisher: CRC Press
Release Date : 2008-10-30

Structural Bioinformatics written by Forbes J. Burkowski and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-30 with Computers categories.

The Beauty of Protein Structures and the Mathematics behind Structural BioinformaticsProviding the framework for a one-semester undergraduate course, Structural Bioinformatics: An Algorithmic Approach shows how to apply key algorithms to solve problems related to macromolecular structure.Helps Students Go Further in Their Study of Structural Biolog

Foundations Of Structural Biology

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Author : Leonard J. Banaszak
language : en
Publisher: Elsevier
Release Date : 2000-02-08

Foundations Of Structural Biology written by Leonard J. Banaszak and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-02-08 with Science categories.

Imagine trying to understand an engine without visualizing its moving parts. Biological processes involve far more complex chemical reactions and components than any engine. Furthermore, the parts work together to do many more functions than an engine which sole task is to turn a shaft. Understanding the implications of the three-dimensional coordinates for a molecule with several thousand atoms requires an understanding of, and practice with, 3D imaging. For many biologists, this means acquiring a whole new set of skills. Foundations of Structural Biology is aimed at helping the reader develop visualization skills for protein or DNA segments, while also describing the fundamental principles underlying the organization and interaction between these complex molecules.Key Features* Explains how to use coordinate databases and atomic coordinates of biological macromolecules* Teaches the skills of stereoviewing* Contains computer-generated stereographics* Describes the principles of symmetry and handedness in proteins and DNA* Introduces metal and lipid binding proteins and DNA-protein interactions* Explains the principles involved in understanding secondary and quaternary structure * Includes coverage of protein-metal, protein-nucleic acid, and protein-lipid interactions

Postdoctoral Research Fellowship Opportunities

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Author : National Institutes of Health (U.S.)
language : en
Publisher:
Release Date : 1995

Postdoctoral Research Fellowship Opportunities written by National Institutes of Health (U.S.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Health categories.

Computational Drug Discovery

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Author : Pooja A. Chawla
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2024-10-07

Computational Drug Discovery written by Pooja A. Chawla and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-07 with Science categories.

Computational methods and understanding computational models are important in modern drug discovery. The book focuses on computational approaches that can improve the development of in silico methodologies. It includes lead hit methods, docking algorithms, computational chiral compounds, structure-based drug design, GROMACS and NAMD, structural genomics, toxicity prediction, enzyme inhibitors and peptidomimetic therapeutics

Structural Biology Using Electrons And X Rays

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Author : Michael F Moody
language : en
Publisher: Academic Press
Release Date : 2011-03-03

Structural Biology Using Electrons And X Rays written by Michael F Moody and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-03 with Science categories.

Structural Biology Using Electrons and X-Rays discusses the diffraction and image-based methods used for the determination of complex biological macromolecules. The book focuses on the Fourier transform theory, which is a mathematical function that is computed to transform signals between time and frequency domain. Composed of five parts, the book examines the development of nuclear magnetic resonance (NMR), which allows the calculation of the images of a certain protein. Parts 1 to 4 provide the basic information and the applications of Fourier transforms, as well as the different methods used for image processing using X-ray crystallography and the analysis of electron micrographs. Part 5 focuses entirely on the mathematical aspect of Fourier transforms. In addition, the book examines detailed structural analyses of a specimen's symmetry (i.e., crystals, helices, polyhedral viruses and asymmetrical particles). This book is intended for the biologist or biochemist who is interested in different methods and techniques for calculating the images of proteins using nuclear magnetic resonance (NMR). It is also suitable for readers without a background in physical chemistry or mathematics. - Emphasis on common principles underlying all diffraction-based methods - Thorough grounding in theory requires understanding of only simple algebra - Visual representations and explanations of challenging content - Mathematical detail offered in short-course form to parallel the text

Lecture Notes On Computational Structural Biology

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Author : Zhijun Wu
language : en
Publisher: World Scientific
Release Date : 2008

Lecture Notes On Computational Structural Biology written by Zhijun Wu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Science categories.

While the field of computational structural biology or structural bioinformatics is rapidly developing, there are few books with a relatively complete coverage of such diverse research subjects studied in the field as X-ray crystallography computing, NMR structure determination, potential energy minimization, dynamics simulation, and knowledge-based modeling. This book helps fill the gap by providing such a survey on all the related subjects. Comprising a collection of lecture notes for a computational structural biology course for the Program on Bioinformatics and Computational Biology at Iowa State University, the book is in essence a comprehensive summary of computational structural biology based on the author's own extensive research experience, and a review of the subject from the perspective of a computer scientist or applied mathematician. Readers will gain a deeper appreciation of the biological importance and mathematical novelty of the research in the field.