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Theoretical and Experimental DNA Computation (Natural ...

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5.9 Other Laboratory Implementations 135<br />

far lower than that of the S2 <strong>and</strong> S3 primers, we observed incomplete removal<br />

of S1 sequences. As a result of these problems, we redesigned the str<strong>and</strong>s, the<br />

modifications being detailed in [6].<br />

PCR can introduce problems<br />

It is unrealistic to assume that our enzymatic method removes 100% of the<br />

targeted str<strong>and</strong>s. We must therefore be prepared to accept that a small proportion<br />

of target str<strong>and</strong>s will be left in solution. Normally, this residue would<br />

be undetectable, but the repeated use of PCR can quickly amplify this trace<br />

amount, causing failure of the algorithm being implemented. The experiment<br />

confirmed that our removal method worked, but the use of PCR as a detection<br />

method was far too sensitive for our purposes. Kaplan et al. [87] confirm our<br />

belief that PCR is a major source of errors.<br />

Biotinylated str<strong>and</strong>s can introduce problems<br />

In our experiments we used a biotinylated primer to purify away the “splint”<br />

str<strong>and</strong>s used to construct the initial library. Quite apart from the problems<br />

with biotinylation described earlier, it became clear from our investigations<br />

that this can cause other significant difficulties. We found that the attached<br />

beads “settled out” in solution, dragging the str<strong>and</strong>s to the bottom of the<br />

heating block <strong>and</strong> affecting the efficiency of the process. We overcame this<br />

problem by incubating the tubes in a rotating oven.<br />

Restriction enzymes are often not as effective as they are claimed<br />

to be<br />

Although various claims are made for the efficiency of restriction enzymes,<br />

in reality they have a nonzero error rate associated with them. We found<br />

that Sau3A was ineffective at cleaving double-str<strong>and</strong>ed <strong>DNA</strong>, but that MboI<br />

worked perfectly well. This may have been due to the fact that Sau3A is<br />

inefficient at cleaving de novo synthesized <strong>DNA</strong>.<br />

5.9 Other Laboratory Implementations<br />

In this section we describe several successful laboratory implementations of<br />

molecular-based solutions to NP-complete problems. The objective is not to<br />

give an exhaustive description of each experiment, but to give a high-level<br />

treatment of the general methodology, so that the reader may approach with<br />

confidence the fuller description in the literature.

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