![banner](https://static.igem.org/mediawiki/2018/8/8a/T--OUC-China--model-minitoe.jpg)
Design
Reactions
We can describe our miniToe system to be followings:
\[\rightarrow [๐๐๐
๐๐ด โ ๐
๐ต๐ โ ๐๐
๐๐ด_{๐๐๐}]\]
\[\rightarrow [๐๐
๐๐ด_{Csy4}]\]
\[[๐๐
๐๐ด_{๐ถ๐ ๐ฆ4}]\rightarrow [๐๐
๐๐ด_{๐ถ๐ ๐ฆ4}] + [๐๐๐๐ก๐๐๐_{๐ถ๐ ๐ฆ4}]\]
\[[Protein_{๐ถ๐ ๐ฆ4}]+[crRNA-RBS-mRNA_{gfp}]\leftrightarrow [๐๐๐๐ก๐๐๐_{๐ถ๐ ๐ฆ4}-crRNA-RBS-๐๐
๐๐ด_{๐๐๐}]\]
\[[Protein_{๐ถ๐ ๐ฆ4}-crRNA-RBS-mRNA_{gfp}]\rightarrow [๐๐
๐๐ด_{gfp}] + [๐๐๐๐ก๐๐๐_{๐ถ๐ ๐ฆ4}-๐๐๐
๐๐ด]\]
\[[๐๐
๐๐ด_{gfp}]\rightarrow [๐๐
๐๐ด_{gfp}] + [๐๐๐๐ก๐๐๐_{gfp}]\]
\[[crRNA-RBS-mRNA_{gfp}]\rightarrow \emptyset\]
\[[๐๐
๐๐ด_{๐ถ๐ ๐ฆ4}]\rightarrow \emptyset\]
\[[๐๐๐๐ก๐๐๐_{๐ถ๐ ๐ฆ4}]\rightarrow \emptyset\]
\[[Protein_{๐ถ๐ ๐ฆ4}-crRNA-RBS-mRNA_{gfp}]\rightarrow \emptyset\]
\[[๐๐
๐๐ด_{gfp}]\rightarrow \emptyset\]
\[[๐๐๐๐ก๐๐๐_{๐ถ๐ ๐ฆ4}-๐๐๐
๐๐ด]\rightarrow \emptyset\]
\[[๐๐๐๐ก๐๐๐_{gfp}]\rightarrow \emptyset\]
Two equations, describing the functional binding and cleavage of Csy4 protein in biology, and three parameters,\[๐_{on}\] ,\[๐_{off}\] ,\[๐_{obs}\] , describing the same things in mathematics, are the core of our model.
![](https://static.igem.org/mediawiki/2018/9/90/T--OUC-China--design1-1.png)
![](https://static.igem.org/mediawiki/2018/1/16/T--OUC-China--design1-2.png)
![](https://static.igem.org/mediawiki/2018/3/3c/T--OUC-China--design1-3.png)
Fig.1-1 The structure of Csy4 Fig.1-2 The structure 22nt hairpin which can be recognized by Csy4. Fig.1-3 The Csy4/RNA complex.
Reactions
We can describe our miniToe system to be followings:
\[\rightarrow [๐๐๐
๐๐ด โ ๐
๐ต๐ โ ๐๐
๐๐ด_{๐๐๐}]\]
\[\rightarrow [๐๐
๐๐ด_{Csy4}]\]
\[[๐๐
๐๐ด_{๐ถ๐ ๐ฆ4}]\rightarrow [๐๐
๐๐ด_{๐ถ๐ ๐ฆ4}] + [๐๐๐๐ก๐๐๐_{๐ถ๐ ๐ฆ4}]\]
\[[Protein_{๐ถ๐ ๐ฆ4}]+[crRNA-RBS-mRNA_{gfp}]\leftrightarrow [๐๐๐๐ก๐๐๐_{๐ถ๐ ๐ฆ4}-crRNA-RBS-๐๐
๐๐ด_{๐๐๐}]\]
\[[Protein_{๐ถ๐ ๐ฆ4}-crRNA-RBS-mRNA_{gfp}]\rightarrow [๐๐
๐๐ด_{gfp}] + [๐๐๐๐ก๐๐๐_{๐ถ๐ ๐ฆ4}-๐๐๐
๐๐ด]\]
\[[๐๐
๐๐ด_{gfp}]\rightarrow [๐๐
๐๐ด_{gfp}] + [๐๐๐๐ก๐๐๐_{gfp}]\]
\[[crRNA-RBS-mRNA_{gfp}]\rightarrow \emptyset\]
\[[๐๐
๐๐ด_{๐ถ๐ ๐ฆ4}]\rightarrow \emptyset\]
\[[๐๐๐๐ก๐๐๐_{๐ถ๐ ๐ฆ4}]\rightarrow \emptyset\]
\[[Protein_{๐ถ๐ ๐ฆ4}-crRNA-RBS-mRNA_{gfp}]\rightarrow \emptyset\]
\[[๐๐
๐๐ด_{gfp}]\rightarrow \emptyset\]
\[[๐๐๐๐ก๐๐๐_{๐ถ๐ ๐ฆ4}-๐๐๐
๐๐ด]\rightarrow \emptyset\]
\[[๐๐๐๐ก๐๐๐_{gfp}]\rightarrow \emptyset\]
Two equations, describing the functional binding and cleavage of Csy4 protein in biology, and three parameters,๐_{on},\[๐_{off}\] ,\[๐_{obs}\] , describing the same things in mathematics, are the core of our model.
![](https://static.igem.org/mediawiki/2018/9/90/T--OUC-China--design1-1.png)
![](https://static.igem.org/mediawiki/2018/1/16/T--OUC-China--design1-2.png)
![](https://static.igem.org/mediawiki/2018/3/3c/T--OUC-China--design1-3.png)
Fig.1-1 The structure of Csy4 Fig.1-2 The structure 22nt hairpin which can be recognized by Csy4. Fig.1-3 The Csy4/RNA complex.
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