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Theoretical and Experimental DNA Computation (Natural ...

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122 5 Physical Implementations<br />

since the process is performed only once, rather than repeatedly during the<br />

main body of a computation.<br />

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V 1 V 2 V 3 V 4 V 5 V 6 V 7 V 8<br />

Fig. 5.10. Structure of str<strong>and</strong>s in initial library<br />

We then pour all oligos into solution. When all oligos have annealed we expect<br />

to obtain many double str<strong>and</strong>s of the form depicted in Fig. 5.9. Vertex<br />

<strong>and</strong> color sections each occupy a distinct subsection of each str<strong>and</strong>. It is clear<br />

from the structure of these str<strong>and</strong>s that the sequence encoding a particular<br />

vertex/color combination depends not only on the vertex in question, but on<br />

whether or not the vertex number is odd or even. For example, sections coloring<br />

v1 “red” have the sequence AAAAAA, as expected. However, due to<br />

the overlapping nature of the str<strong>and</strong> construction technique, sections coloring<br />

v2 have the sequence TTTTTT. This minor complication does not present a<br />

problem <strong>and</strong>, knowing the sequence assigned to each vertex/color combination,<br />

it is a trivial task to derive the sequences of the appropriate primer. The<br />

primer sequences are listed in Table 5.2.<br />

Materials <strong>and</strong> methods<br />

We now describe in detail the 32 experiments carried out during this particular<br />

phase of the project. A summary of these is given in Table 5.3. The results<br />

of these experiments are listed in the next section; here we describe only the<br />

materials <strong>and</strong> methods used. We represent the order of experimental execution<br />

in Fig. 5.11. Each process box is labelled with the numbers of the experiments<br />

carried out at that stage. Note that the only cycle in the flowchart occurs<br />

while attempting to remove str<strong>and</strong>s containing a certain sequence. This is<br />

necessitated by the need for control <strong>and</strong> optimization experiments in order to<br />

establish optimal (or near-optimal) experimental conditions.<br />

Experiment 1. Oligos <strong>and</strong> reagents<br />

All the tile oligos were resuspended to 100 pmoles/µl in distilled water, then<br />

diluted to produce two mastermixes, the first containing all the oligos <strong>and</strong> the<br />

other containing only red oligos. The final concentration in each case was 2.5<br />

pmoles each oligo/µl. The primer oligos were re-suspended to 100 pmoles/µl<br />

stocks <strong>and</strong> also diluted to 30 pmoles/µl PCRworkingstock.Thebiotinylated<br />

primer (v8) was re-suspended to 200 pmoles/µl <strong>and</strong> stored in 20 µl singleuse<br />

aliquots. All oligos were stored at -20 ◦ C. A 5xPolymerase/Ligase buffer was<br />

made up (based on the requirements for second str<strong>and</strong> c<strong>DNA</strong> synthesis).

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