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Theoretical and Experimental DNA Computation (Natural ...

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5.3 Initial Set Construction Within Filtering Models 111<br />

Substrate<br />

Enzyme<br />

(b)<br />

Lig<strong>and</strong><br />

Fig. 5.1. (a) Components of enzymatic switch. (b) Enzyme recognizes substrate<br />

<strong>and</strong> cleaves it. (c) Lig<strong>and</strong> binds to enzyme, changing its conformation; enzyme no<br />

longer recognizes substrate<br />

initial multi-set. This is achieved as follows: for each pair (piki,pi+1ki+1) we<br />

construct an oligo which is the concatenation of the complement of the second<br />

half of the oligo representing piki <strong>and</strong> the complement of the first half of the<br />

oligo representing pi+1ki+1. We also construct oligos that are the complement<br />

of the first half of the oligo representing p1k1 <strong>and</strong> the last half of the oligo<br />

representing pnkn. There is therefore a total of 2nk + 1 oligos in solution.<br />

The effect of adding these new oligos is that double-str<strong>and</strong>ed <strong>DNA</strong> will be<br />

formed in the tube <strong>and</strong> one str<strong>and</strong> in each will be an element of the desired<br />

initial set. The new oligos have, through annealing, acted as “splints” to join<br />

the first oligos in the desired sequences. These splints may then be removed<br />

from solution (assuming that they are biotinylated).<br />

(a)<br />

(c)

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