Mathematical Grammar of Biology / by Michel Eduardo Beleza Yamagishi.

Format:

Book

Author/Creator:

Yamagishi, Michel Eduardo Beleza., Author.

Series:

SpringerBriefs in Mathematics, 2191-8198

Language:

English

Subjects (All):

Biomathematics.

Bioinformatics.

Biology—Philosophy.

Genetics and Population Dynamics.

Computational Biology/Bioinformatics.

Philosophy of Biology.

Local Subjects:

Genetics and Population Dynamics.

Computational Biology/Bioinformatics.

Philosophy of Biology.

Physical Description:

1 online resource (XII, 82 p. 19 illus., 17 illus. in color.)

Edition:

1st ed. 2017.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2017.

Summary:

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.

Contents:

Chapter 01- Introduction

Chapter 02- Modeling Human Nucleotide Frequencies

Chapter 03- Expanding the Grammar of Biology

Chapter 04 - "In God We Trust; All Others, Bring Data."- References.

ISBN:

3-319-62689-2