Mathematical Grammar of Biology
Yamagishi, Michel Eduardo Beleza
Produktnummer:
180b1d0aa241e54949886b19612077916d
Autor: | Yamagishi, Michel Eduardo Beleza |
---|---|
Themengebiete: | Bioinformatics Chargaff rules Genomics Intrinsic properties of DNA Mathematical DNA rules Symmetry Principle Synthetic Biology |
Veröffentlichungsdatum: | 08.09.2017 |
EAN: | 9783319626888 |
Sprache: | Englisch |
Seitenzahl: | 82 |
Produktart: | Kartoniert / Broschiert |
Verlag: | Springer International Publishing |
Produktinformationen "Mathematical Grammar of Biology"
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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