SpringerBriefs in Mathematics

Mathematical Grammar of Biology

Authors: Yamagishi, Michel Eduardo Beleza

  • 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
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eBook $39.99
price for USA (gross)
  • ISBN 978-3-319-62689-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $54.99
price for USA
  • ISBN 978-3-319-62688-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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.

About the authors

Michel Eduardo Beleza Yamagishi is a senior researcher at Embrapa Informática Agropecuária,  working at Embrapa Multiuser Bioinformatics Laboratory. He holds a PhD (2001) and a Master’s  in Applied Mathematics from the University of Campinas (Unicamp). His fields of research include bioinformatics, genomics and optimization problems.

Table of contents (1 chapters)

  • Expanding the Grammar of Biology

    Yamagishi, Michel Eduardo Beleza

    Pages 29-53

Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-3-319-62689-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $54.99
price for USA
  • ISBN 978-3-319-62688-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Mathematical Grammar of Biology
Authors
Series Title
SpringerBriefs in Mathematics
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s)
eBook ISBN
978-3-319-62689-5
DOI
10.1007/978-3-319-62689-5
Softcover ISBN
978-3-319-62688-8
Series ISSN
2191-8198
Edition Number
1
Number of Pages
XII, 82
Number of Illustrations and Tables
2 b/w illustrations, 17 illustrations in colour
Topics