As researchers have pursued biology's secrets to the molecular level, mathematical and computer sciences have played an increasingly important role--in genome mapping, population genetics, and even the controversial search for "Eve," hypothetical mother of the human race.
In this first-ever survey of the partnership between the two fields, leading experts look at how mathematical research and methods have made possible important discoveries in biology.
The volume explores how differential geometry, topology, and differential mechanics have allowed researchers to "wind" and "unwind" DNA's double helix to understand the phenomenon of supercoiling. It explains how mathematical tools are revealing the workings of enzymes and proteins. And it describes how mathematicians are detecting echoes from the origin of life by applying stochastic and statistical theory to the study of DNA sequences.
This informative and motivational book will be of interest to researchers, research administrators, and educators and students in mathematics, computer sciences, and biology.
Table of Contents
|1 The Secrets of Life: A Mathematician's Introduction to Molecular Biology||1-24|
|2 Mapping Heredity: Using Pobabilistic Models and Algorithms to Map Genes and Genomes||25-55|
|3 Seeing Conserved Signals: Using Algorithms to Detect Similarities Between Biosequences||56-89|
|4 Hearing Distant Echoes: Using Extremal Statistics to Probe Evolutionary Origins||90-113|
|5 Calibrating the Clock: Using Stochastic Processes to Measure the Rate of Evolution||114-152|
|6 Winding the Double Helix: Using Geometry, Topology, and Mechanics of DNA||153-178|
|7 Unwinding the Double Helix: Using Differential Mechanics to Probe Conformational Changes in DNA||179-201|
|8 Lifting the Curtain: Using Topology to Probe the Hidden Action of Enzymes||202-235|
|9 Folding the Sheets: Using Computational Methods to Predict the Structure of Proteins||236-271|
|Appendix: Chapter Authors||272-276|
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