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Mathematical Grammar of Biology by Michel Eduardo Beleza Yamagishi
Mathematical Grammar of Biology by Michel Eduardo Beleza Yamagishi
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Description

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.

Author Biography:

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.
Release date NZ
September 8th, 2017
Audiences
  • Postgraduate, Research & Scholarly
  • Undergraduate
Edition
1st ed. 2017
Illustrations
17 Illustrations, color; 2 Illustrations, black and white; XII, 82 p. 19 illus., 17 illus. in color.
Pages
82
ISBN-13
9783319626888
Product ID
26847932

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