Authors:
- Offers the first detailed development of the conceptual theoretical framework necessary to search for DNA’s first principles
- Shows how mathematical modeling can be applied to the study of DNA’s language
- Proves that the results are not only aesthetically beautiful, but are also confirmed by more than 96% of all genomic sequences publicly available
- Includes supplementary material: sn.pub/extras
Part of the book series: SpringerBriefs in Mathematics (BRIEFSMATH)
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Table of contents (4 chapters)
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Front Matter
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Back Matter
About this book
This seminal, multidisciplinary book shows how mathematics can be used to study the first principles of DNA. Most importantly, it enriches the so-called “Chargaff’s grammar of biology” by providing the conceptual theoretical framework necessary to generalize Chargaff’s rules. Starting with a simple example of DNA mathematical modeling where human nucleotide frequencies are associated to the Fibonacci sequence and the Golden Ratio through an optimization problem, its breakthrough is showing that the reverse, complement and reverse-complement operators defined over oligonucleotides induce a natural set partition of DNA words of fixed-size. These equivalence classes, when organized into a matrix form, reveal hidden patterns within the DNA sequence of every living organism. Intended for undergraduate and graduate students both in mathematics and in life sciences, it is also a valuable resource for researchers interested in studying invariant genomic properties.
Reviews
“The volume is appropriate for anyone interested in computational biology and synthetic biology. It is short and easy to read, and provides a refreshing view on many aspects of DNA structure at the level of abstraction of strings over a very short alphabet. The author shows very clearly and convincingly that the question ofwhat is the actual code of life is far from answered.” (Sara Kalvala, Computing Reviews, July, 2018)
Authors and Affiliations
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Laboratório de Bioinformática Aplicada, Embrapa Informática Agropecuária, Campinas, Brazil
Michel Eduardo Beleza Yamagishi
About the author
Bibliographic Information
Book Title: Mathematical Grammar of Biology
Authors: Michel Eduardo Beleza Yamagishi
Series Title: SpringerBriefs in Mathematics
DOI: https://doi.org/10.1007/978-3-319-62689-5
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s) 2017
Softcover ISBN: 978-3-319-62688-8Published: 08 September 2017
eBook ISBN: 978-3-319-62689-5Published: 31 August 2017
Series ISSN: 2191-8198
Series E-ISSN: 2191-8201
Edition Number: 1
Number of Pages: XII, 82
Number of Illustrations: 2 b/w illustrations, 17 illustrations in colour
Topics: Genetics and Population Dynamics, Computational Biology/Bioinformatics, Philosophy of Biology