By Giuditta Franco (auth.), Nataša Jonoska, Masahico Saito (eds.)
Theoretical instruments and insights from discrete arithmetic, theoretical laptop technological know-how, and topology now play crucial roles in our realizing of significant biomolecular strategies. The similar equipment are actually hired in a number of fields of mathematical biology as tools to "zoom in" on methods at a molecular point. This publication comprises expository chapters on how modern versions from discrete arithmetic – in domain names reminiscent of algebra, combinatorics, and graph and knot theories – promises point of view on biomolecular difficulties starting from info research, molecular and gene preparations and constructions, and knotted DNA embeddings through spatial graph versions to the dynamics and kinetics of molecular interactions. The contributing authors are one of the prime scientists during this box and the ebook is a reference for researchers in arithmetic and theoretical computing device technology who're engaged with modeling molecular and organic phenomena utilizing discrete equipment. it could possibly additionally function a advisor and complement for graduate classes in mathematical biology or bioinformatics, introducing nontraditional facets of mathematical biology.
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Extra resources for Discrete and Topological Models in Molecular Biology
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AATGC, 2. TGCTG, 3. CTGGA, 4. GGATG, 5. ATGCC, 6. GCCTA u2 e9 e2 e3 e10 e11 Set of 3-mers: u1 = AAT, u2 =ATG, u3 =TGC, u4 =GCT, u5 =CTG, u6 =TGG, u7 =GGA, u8 =GAT, u9 =GCC, u10 =CCT, u11=CTA u3 e12 u10 u9 e5 u8 u4 e4 e8 e6 e7 u7 u5 u6 Fig. 5 De Bruijn graph. The graph on the right is the de Bruijn graph that is used to assemble the genome AATGCTGGATGCCTA fu1 D AAT; u2 D ATG; u3 D TGC; u4 D GCT; u5 D CTG; u6 D TGG; u7 D GGA; u8 D GAT; u9 D GCC; u10 D CCT; u11 D CTAg: A directed edge from vertex v to vertex w is included if v is a prefix and w is a suffix of a 4-mer that belongs to a read.