LEADER 03271nam  22005895  450 
001 9910254300903321
005 20200705145520.0
010   $a3-319-62689-2
024 7 $a10.1007/978-3-319-62689-5
035   $a(CKB)3710000001631068
035   $a(DE-He213)978-3-319-62689-5
035   $a(MiAaPQ)EBC5015334
035   $z(PPN)258862610
035   $a(PPN)203851803
035   $a(EXLCZ)993710000001631068
100   $a20170831d2017      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aMathematical Grammar of Biology /$fby Michel Eduardo Beleza Yamagishi
205   $a1st ed. 2017.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017.
215   $a1 online resource (XII, 82 p. 19 illus., 17 illus. in color.) 
225 1 $aSpringerBriefs in Mathematics,$x2191-8198
311   $a3-319-62688-4 
327   $aChapter 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.
330   $aThis seminal, multidisciplinary book shows how mathematics can be used to study the first principles of DNA. Most importantly, it enriches the so-called ?Chargaff?s grammar of biology? by providing the conceptual theoretical framework necessary to generalize Chargaff?s rules. Starting with a simple example of DNA mathematical modeling where human nucleotide frequencies are associated to the Fibonacci sequence and the Golden Ratio through an optimization problem, its breakthrough is showing that the reverse, complement and reverse-complement operators defined over oligonucleotides induce a natural set partition of DNA words of fixed-size. These equivalence classes, when organized into a matrix form, reveal hidden patterns within the DNA sequence of every living organism. Intended for undergraduate and graduate students both in mathematics and in life sciences, it is also a valuable resource for researchers interested in studying invariant genomic properties.
410  0$aSpringerBriefs in Mathematics,$x2191-8198
606   $aBiomathematics
606   $aBioinformatics
606   $aBiology?Philosophy
606   $aGenetics and Population Dynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/M31010
606   $aComputational Biology/Bioinformatics$3https://scigraph.springernature.com/ontologies/product-market-codes/I23050
606   $aPhilosophy of Biology$3https://scigraph.springernature.com/ontologies/product-market-codes/E34010
615  0$aBiomathematics.
615  0$aBioinformatics.
615  0$aBiology?Philosophy.
615 14$aGenetics and Population Dynamics.
615 24$aComputational Biology/Bioinformatics.
615 24$aPhilosophy of Biology.
676   $a576.58
676   $a577.88
700   $aYamagishi$b Michel Eduardo Beleza$4aut$4http://id.loc.gov/vocabulary/relators/aut$0767423
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910254300903321
996   $aMathematical Grammar of Biology$91562350
997   $aUNINA