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| =Diffusion= | | =Diffusion= |
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- | <div align="justify">
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- | The question whether anti-termination occurs is not only guided by the folding process of the signal-terminator pair, but also by how long the signal takes to diffuse to the terminator sequence. To account for the diffusion time, we estimated the hit rate τ (following 6.), which is the time until the signal meets the terminator sequence for the first time: <br>
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- | τ = 1/(3D*a/r<sup>3</sup>), <br>
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- | where ''D'' is the diffusion constant, ''a'' the radius of gyration of the signal molecule and ''r'' the radius of the cell.<br>
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- | For E.coli ''r'' is 1 μm. The radius of gyration ''a'' can be estimated using the worm-like-chain model by <br>
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- | a = (n*l)/3, <br>
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- | where ''n'' is the length of the signal which is 0,3 nm/monomer, ''l'' is the persistency length which is following (5.) 2nm for single-stranded RNA. Thus, for a signal of length 32 nt, ''a'' = 6,4 nm.<br>
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- | The diffusion constant ''D'' was obtained by <br>
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- | D = k<sub>B</sub> T/ (6 π * 10*10<sup>-3</sup>*a),<br>
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- | where ''k<sub>B</sub>'' is the Boltzmann constant and ''T'' is the absolute temperature. <br>
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- | Using the ''a'' we calculated above, we get D = 3,4318 m<sup>2</sup>/s. <br>
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- | Thus, for a cell containing 100 signal molecules, the signal needs '''0,1518 s''' until it first hits the terminator sequence.
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- | As the folding time is significantly larger than the diffusion and thus much less relevant for modeling our signal-terminator constructs, we didn't employ more elaborate techniques to model diffusion.
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- | </div>
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| =Switch= | | =Switch= |
- | ==Modeling== | + | ==His-terminator== |
| + | ==Trp-terminator== |
| ==Results== | | ==Results== |
| =Network= | | =Network= |