By Murad Banaji (auth.), Katsuhisa Horimoto, Masahiko Nakatsui, Nikolaj Popov (eds.)
This booklet constitutes the refereed lawsuits of the 4th foreign convention on Algebraic Biology, ANB 2010, held on the fortress of Hagenberg, Austria in July/August 2010. The convention is a persist with up of the AB convention. the ten papers have been conscientiously reviewed and chosen from various submissions. The papers are geared up in topical sections on mathematical modeling, method research and layout, genomics, molecular constitution research, automata concept, synthetic intelligence, series research, automatic reasoning, formal language and hybrid symbolic numerical methods.
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Additional info for Algebraic and Numeric Biology: 4th International Conference, ANB 2010, Hagenberg, Austria, July 31- August 2, 2010, Revised Selected Papers
DNA 2001. LNCS, vol. 2340, pp. 231–247. Springer, Heidelberg (2002) 20. : DNA computing by blocking. Theoretical Computer Science 292, 653–665 (2003) 21. : Designing Nucleotide Sequences for Computation: A Survey of Constraints. A. ) DNA 2005. LNCS, vol. 3892, pp. 275–289. Springer, Heidelberg (2006) 22. : State transitions by molecules. Biosystems 52, 81–91 (1999) 23. : Enzyme-free nucleic acid logic circuits. Science 315(5805), 1585–1588 (2006) 24. : A thermodynamic approach to designing structure-free combinatorial DNA word sets.
If the DNA strand for symbol a ∈ Σ is w, then the DNA strand for the complementary symbol a ¯, is, naturally, the Watson-Crick complementary strand to w. M. Gillis and J. Van den Bussche abstract complex is implemented by base pairing in the DNA complex. We will see below how blocking is implemented. Immobilization is implemented as is standard in DNA computing by attachment to surfaces  or magnetic beads. The union operation amounts to mixing two test tubes together. The diﬀerence C1 − C2 of complexes can be implemented by a subtractive hybridization technique .
Natural phenomena tend to be explained parsimoniously, using the minimum number of required entities. The haplotype inference by pure parsimony approach is also biologically motivated by the fact that individuals from the same population have the same ancestors and mutations do not occur often. Moreover, it is also well-known that the number of haplotypes in a population is much smaller than the number of genotypes . Deﬁnition 3. The haplotype inference by pure parsimony (HIPP) approach aims at finding a minimum-cardinality set of haplotypes H that can explain a given set of genotypes G.