Overview
- Editors:
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Nataša Jonoska
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Dept. Mathematics & Statistics, University of South Florida, Tampa, USA
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Masahico Saito
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Dept. Mathematics & Statistics, University of South Florida, Tampa, USA
- Methods allow researchers to "zoom in" on processes at a molecular level
- Contributing authors are among the leading scientists in this field
- Reference for researchers in mathematics, theoretical computer science, mathematical biology and bioinformatics
- Includes supplementary material: sn.pub/extras
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Table of contents (23 chapters)
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Front Matter
Pages i-xiii
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Discrete and Graph-Theoretic Models for Data Analysis
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- Angela Angeleska, Sabrina Kleessen, Zoran Nikoloski
Pages 23-43
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- Paola Bonizzoni, Anna Paola Carrieri, Gianluca Della Vedova, Riccardo Dondi, Teresa M. Przytycka
Pages 67-83
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- Vidit Nanda, Radmila Sazdanović
Pages 109-141
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Molecular Arrangements and Structures
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Front Matter
Pages 143-143
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- Christine Heitsch, Svetlana Poznanović
Pages 145-166
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- Naomi Fox, Ileana Streinu
Pages 167-196
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- Paolo Cermelli, Giuliana Indelicato, Reidun Twarock
Pages 217-240
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- Joanna Ellis-Monaghan, Greta Pangborn, Laura Beaudin, David Miller, Nick Bruno, Akie Hashimoto
Pages 241-270
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Gene Rearrangements
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Front Matter
Pages 271-271
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- Aaron David Goldman, Elizabeth M. Stein, John R. Bracht, Laura F. Landweber
Pages 273-287
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- Robert Brijder, Hendrik Jan Hoogeboom
Pages 289-307
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- Egor Dolzhenko, Karin Valencia
Pages 309-323
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Topological Models and Spatial DNA Embeddings
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Front Matter
Pages 325-325
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- Isabel K. Darcy, Stephen D. Levene, Robert G. Scharein
Pages 327-345
About this book
Theoretical tools and insights from discrete mathematics, theoretical computer science, and topology now play essential roles in our understanding of vital biomolecular processes. The related methods are now employed in various fields of mathematical biology as instruments to "zoom in" on processes at a molecular level.
This book contains expository chapters on how contemporary models from discrete mathematics – in domains such as algebra, combinatorics, and graph and knot theories – can provide perspective on biomolecular problems ranging from data analysis, molecular and gene arrangements and structures, and knotted DNA embeddings via spatial graph models to the dynamics and kinetics of molecular interactions.
The contributing authors are among the leading scientists in this field and the book is a reference for researchers in mathematics and theoretical computer science who are engaged with modeling molecular and biological phenomena using discrete methods. It may also serve as aguide and supplement for graduate courses in mathematical biology or bioinformatics, introducing nontraditional aspects of mathematical biology.
About the editors
Prof. Nataša Jonoska is a professor in the Dept. of Mathematics and Statistics of the University of South Florida, Tampa, USA. She received her PhD from the Dept. of Mathematical Sciences, SUNY Binghamton in 1993. Her research is driven by the issue of how biology computes, in particular using formal models such as cellular or other finite types of automata, formal language theory symbolic dynamics, and topological graph theory to describe molecular computation. She is a board member of related prestigious journals such as Theoretical Computer Science, the Int. J. of Foundations of Computer Science, Computability, and Natural Computing. She has edited a number of books, among them the Springer book Nanotechnology: Science and Computation. Dr. Masahico Saito is a researcher in the Dept. of Mathematics and Statistics, University of South Florida, Tampa, USA. He is a member of the Discrete and Topological Methods for DNA Assembly team, and his research interests include knots and quandles.