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<sup> Figure 3 </sup> | <sup> Figure 3 </sup> | ||
− | $$ mRNA = k_{1} -d _{1 } mRNA | + | $$ \color{white}{ mRNA = k_{1} -d _{1 } mRNA } $$ |
− | $$ Protein = k_{2} \cdot mRNA - d_{2} \cdot Protein $$ | + | $$ \color{white}{ Protein = k_{2} \cdot mRNA - d_{2} \cdot Protein } $$ |
<p> Where... </p> | <p> Where... </p> | ||
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<p> The next step in developing our simulation was to calculate our protein concentration at any given time when using CRISPRi. Discussion with wet-lab revealed our method would be using CRISPRi as a repressor, which works by inhibiting the expression of one or more genes by binding to the promoter region <sup> 1 </sup>. The expanded mRNA and Protein concentration models from the Constitutive Gene Expression Model <sup> 2 </sup> were modified to include the element of repression from the CRISPRi inhibition. </p> | <p> The next step in developing our simulation was to calculate our protein concentration at any given time when using CRISPRi. Discussion with wet-lab revealed our method would be using CRISPRi as a repressor, which works by inhibiting the expression of one or more genes by binding to the promoter region <sup> 1 </sup>. The expanded mRNA and Protein concentration models from the Constitutive Gene Expression Model <sup> 2 </sup> were modified to include the element of repression from the CRISPRi inhibition. </p> | ||
− | $$ \color{white} Gene \overset{Repressor}{\rightarrow} mRNA \rightarrow Protein | + | $$ \color{white}{ Gene \overset{Repressor}{\rightarrow} mRNA \rightarrow Protein } $$ |
− | $$ mRNA \underset{Degradation}{\rightarrow} \oslash | + | $$ \color{white}{ mRNA \underset{Degradation}{\rightarrow} \oslash } $$ |
− | $$ sfGFP \underset{Degradation}{\rightarrow} \oslash | + | $$ \color{white}{ sfGFP \underset{Degradation}{\rightarrow} \oslash } $$ |
<h5> This change can be applied to the Law of Mass Action <sup> 3 </sup> : </h5> | <h5> This change can be applied to the Law of Mass Action <sup> 3 </sup> : </h5> | ||
− | $$ m = k_{1} \cdot \frac{k^{n}}{k^{n} + R^{n}}- d_{1}m $$ | + | $$\color{white}{ m = k_{1} \cdot \frac{k^{n}}{k^{n} + R^{n}}- d_{1}m } $$ |
− | $$ p = k_{2} m - d_{2}p $$ | + | $$ \color{white}{ p = k_{2} m - d_{2}p } $$ |
<p>Where...</p> | <p>Where...</p> | ||
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<p> However, in this proof of concept, order is irrelevant as the gene is either inhibited (1) or not (0). Using </p> | <p> However, in this proof of concept, order is irrelevant as the gene is either inhibited (1) or not (0). Using </p> | ||
− | $$ n ^ r $$ | + | $$ \color{white}{ n ^ r } $$ |
<p> Where n = 2 and r = 3, this gives us a total combination of 2<sup> 3 </sup> {1,1,1} {1,1,0} {1,0,1} {1,0,0} {0,1,1} {0,1,0} {0,0,1} {0,0,0} </p> | <p> Where n = 2 and r = 3, this gives us a total combination of 2<sup> 3 </sup> {1,1,1} {1,1,0} {1,0,1} {1,0,0} {0,1,1} {0,1,0} {0,0,1} {0,0,0} </p> | ||
Revision as of 20:37, 31 October 2017
MODELLING