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Mathematical grammar of biology
~
Yamagishi, Michel Eduardo Beleza.
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Mathematical grammar of biology
Record Type:
Electronic resources : Monograph/item
Title/Author:
Mathematical grammar of biology/ by Michel Eduardo Beleza Yamagishi.
Author:
Yamagishi, Michel Eduardo Beleza.
Published:
Cham :Springer International Publishing : : 2017.,
Description:
xii, 82 p. :ill., digital ;24 cm.
[NT 15003449]:
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.
Contained By:
Springer eBooks
Subject:
Biomathematics. -
Online resource:
http://dx.doi.org/10.1007/978-3-319-62689-5
ISBN:
9783319626895
Mathematical grammar of biology
Yamagishi, Michel Eduardo Beleza.
Mathematical grammar of biology
[electronic resource] /by Michel Eduardo Beleza Yamagishi. - Cham :Springer International Publishing :2017. - xii, 82 p. :ill., digital ;24 cm. - SpringerBriefs in mathematics,2191-8198. - SpringerBriefs in mathematics..
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.
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.
ISBN: 9783319626895
Standard No.: 10.1007/978-3-319-62689-5doiSubjects--Topical Terms:
523796
Biomathematics.
LC Class. No.: QH323.5 / .Y36 2017
Dewey Class. No.: 570.151
Mathematical grammar of biology
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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.
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Mathematics and Statistics (Springer-11649)
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EB QH323.5 .Y36 2017
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