Ebook: Topology in Molecular Biology
Author: Professor Dr. Michail Ilych Monastyrsky (auth.) Professor Dr. Michail Ilych Monastyrsky (eds.)
- Tags: Biophysics and Biological Physics, Molecular Medicine, Bioinformatics
- Series: Biological and Medical Physics Biomedical Engineering
- Year: 2007
- Publisher: Springer-Verlag Berlin Heidelberg
- Edition: 1
- Language: English
- pdf
The book presents a class of new results in molecular biology for which topological methods and ideas are important. These include: the large-scale conformation properties of DNA; computational methods (Monte Carlo) allowing the simulation of large-scale properties of DNA; the tangle model of DNA recombination and other applications of Knot theory; dynamics of supercoiled DNA and biocatalitic properties of DNA; the structure of proteins; and other very recent problems in molecular biology. The text also provides a short course of modern topology intended for the broad audience of biologists and physicists. The authors are renowned specialists in their fields and some of the new results presented here are documented for the first time in monographic form.
The book presents a class of new results in molecular biology for which topological methods and ideas are important. These include: the large-scale conformation properties of DNA; computational methods (Monte Carlo) allowing the simulation of large-scale properties of DNA; the tangle model of DNA recombination and other applications of Knot theory; dynamics of supercoiled DNA and biocatalitic properties of DNA; the structure of proteins; and other very recent problems in molecular biology. The text also provides a short course of modern topology intended for the broad audience of biologists and physicists. The authors are renowned specialists in their fields and some of the new results presented here are documented for the first time in monographic form.
The book presents a class of new results in molecular biology for which topological methods and ideas are important. These include: the large-scale conformation properties of DNA; computational methods (Monte Carlo) allowing the simulation of large-scale properties of DNA; the tangle model of DNA recombination and other applications of Knot theory; dynamics of supercoiled DNA and biocatalitic properties of DNA; the structure of proteins; and other very recent problems in molecular biology. The text also provides a short course of modern topology intended for the broad audience of biologists and physicists. The authors are renowned specialists in their fields and some of the new results presented here are documented for the first time in monographic form.
Content:
Front Matter....Pages I-XIV
Introduction....Pages 1-2
Topology in Biology: From DNA Mechanics to Enzymology....Pages 3-21
Monte Carlo Simulation of DNA Topological Properties....Pages 23-41
Dynamics of DNA Supercoiling....Pages 43-67
From Tangle Fractions to DNA....Pages 69-110
Linear Behavior of the Writhe Versus the Number of Crossings in Rational Knots and Links....Pages 111-125
Combinatories and Topology of the ?-Sandwich and ?-Barrel Proteins....Pages 127-145
The Structure of Collagen....Pages 147-162
Euler Characteristic, Dehn–Sommerville Characteristics, and Their Applications....Pages 163-176
Hopf Fibration and Its Applications....Pages 177-188
Multi-Valued Functionals, One-Forms and Deformed de Rham Complex....Pages 189-207
The Spectral Geometry of Riemann Surfaces....Pages 209-235
Back Matter....Pages 237-238
The book presents a class of new results in molecular biology for which topological methods and ideas are important. These include: the large-scale conformation properties of DNA; computational methods (Monte Carlo) allowing the simulation of large-scale properties of DNA; the tangle model of DNA recombination and other applications of Knot theory; dynamics of supercoiled DNA and biocatalitic properties of DNA; the structure of proteins; and other very recent problems in molecular biology. The text also provides a short course of modern topology intended for the broad audience of biologists and physicists. The authors are renowned specialists in their fields and some of the new results presented here are documented for the first time in monographic form.
Content:
Front Matter....Pages I-XIV
Introduction....Pages 1-2
Topology in Biology: From DNA Mechanics to Enzymology....Pages 3-21
Monte Carlo Simulation of DNA Topological Properties....Pages 23-41
Dynamics of DNA Supercoiling....Pages 43-67
From Tangle Fractions to DNA....Pages 69-110
Linear Behavior of the Writhe Versus the Number of Crossings in Rational Knots and Links....Pages 111-125
Combinatories and Topology of the ?-Sandwich and ?-Barrel Proteins....Pages 127-145
The Structure of Collagen....Pages 147-162
Euler Characteristic, Dehn–Sommerville Characteristics, and Their Applications....Pages 163-176
Hopf Fibration and Its Applications....Pages 177-188
Multi-Valued Functionals, One-Forms and Deformed de Rham Complex....Pages 189-207
The Spectral Geometry of Riemann Surfaces....Pages 209-235
Back Matter....Pages 237-238
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