By Russell Deaton, Akira Suyama

This ebook constitutes the completely refereed post-conference lawsuits of the fifteenth foreign assembly on DNA Computing, DNA15, held in Fayetteville, AR, united states, in June 2009. The sixteen revised complete papers offered have been conscientiously chosen in the course of rounds of reviewing and development from 38 submissions. The papers function present interdisciplinary study in molecular-scale manipulation of subject - particularly, implementation of nanoscale computation and programmed meeting of fabrics are of curiosity, therefore reflecting a broader scope past DNA-based nanotechnology and computation.

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Extra info for DNA Computing: 15th International Meeting on DNA Computing, DNA 15, Fayetteville, AR, USA, June 8-11, 2009. Revised Selected Papers

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I∗ −1] (for technical reasons, we enforce the initial segment of π to contain the simple path π[0 . . s] along with one period of π ). The tail of π is π[s∗ . ]. Note that the tail of an eventually v-semi-periodic path is simply a v-semi-periodic path originating at π[s∗ ]. An eventually v-periodic path in α is an eventually v-periodic path in α originating at a0 for some a0 ∈ dom α. We say that π is a v-periodic path in α if π = (. . , a−1 , a0 , a1 , . ) is a two-way infinite simple path such that, for all j ∈ Z, α (π[j] + v) = α (π[j]).

S] along with one period of π ). The tail of π is π[s∗ . ]. Note that the tail of an eventually v-semi-periodic path is simply a v-semi-periodic path originating at π[s∗ ]. An eventually v-periodic path in α is an eventually v-periodic path in α originating at a0 for some a0 ∈ dom α. We say that π is a v-periodic path in α if π = (. . , a−1 , a0 , a1 , . ) is a two-way infinite simple path such that, for all j ∈ Z, α (π[j] + v) = α (π[j]). Let w, x ∈ dom α, π be a simple path from w to x in the binding graph Gα , and i, k ∈ N with 0 ≤ i < k ≤ |π|.

There is a rough analogy with lines of code in a program: a single line of code may execute more than once, each time executed with the state of memory being different than the previous. Similarly, many different tile types, with different actual signal values, generated from the same tile template, may be placed during the growth of an assembly. 1 1 An extremely crude analogy would be that the progression manual tile programming → Doty-Patitz → Becker is roughly analogous to machine code → C → Logo.

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