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Mathematical Grammar of Biology [electronic resource] / by Michel Eduardo Beleza Yamagishi.

By: Yamagishi, Michel Eduardo Beleza [author.].
Contributor(s): SpringerLink (Online service).
Material type: TextTextSeries: SpringerBriefs in Mathematics: Publisher: Cham : Springer International Publishing : Imprint: Springer, 2017Description: XII, 82 p. 19 illus., 17 illus. in color. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783319626895.Subject(s): Genetics -- Mathematics | Bioinformatics | Biology-Philosophy | Genetics and Population Dynamics | Computational Biology/Bioinformatics | Philosophy of BiologyAdditional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification: 576.58 | 577.88 Online resources: Click here to access online
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.
In: Springer eBooksSummary: 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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E-BOOKS E-BOOKS ISI Library, Kolkata
 
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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.

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