03271nam 22005895 450 991025430090332120200705145520.03-319-62689-210.1007/978-3-319-62689-5(CKB)3710000001631068(DE-He213)978-3-319-62689-5(MiAaPQ)EBC5015334(PPN)258862610(PPN)203851803(EXLCZ)99371000000163106820170831d2017 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierMathematical Grammar of Biology /by Michel Eduardo Beleza Yamagishi1st ed. 2017.Cham :Springer International Publishing :Imprint: Springer,2017.1 online resource (XII, 82 p. 19 illus., 17 illus. in color.) SpringerBriefs in Mathematics,2191-81983-319-62688-4 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.SpringerBriefs in Mathematics,2191-8198BiomathematicsBioinformaticsBiology—PhilosophyGenetics and Population Dynamicshttps://scigraph.springernature.com/ontologies/product-market-codes/M31010Computational Biology/Bioinformaticshttps://scigraph.springernature.com/ontologies/product-market-codes/I23050Philosophy of Biologyhttps://scigraph.springernature.com/ontologies/product-market-codes/E34010Biomathematics.Bioinformatics.Biology—Philosophy.Genetics and Population Dynamics.Computational Biology/Bioinformatics.Philosophy of Biology.576.58577.88Yamagishi Michel Eduardo Belezaauthttp://id.loc.gov/vocabulary/relators/aut767423MiAaPQMiAaPQMiAaPQBOOK9910254300903321Mathematical Grammar of Biology1562350UNINA