Difference between revisions of "Team:ColumbiaNYC/Model"
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| + | <h2>Modelling the relationship between siRNA and protein translation</h2> | ||
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<div style="text-align:center"> | <div style="text-align:center"> | ||
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<p>$k_{m}=$ transcription rate of mRNA</p> | <p>$k_{m}=$ transcription rate of mRNA</p> | ||
<p>$\delta([mRNA],[siRNA])=$ rate of mRNA degraded by siRNA</p> | <p>$\delta([mRNA],[siRNA])=$ rate of mRNA degraded by siRNA</p> | ||
<p>$\frac{d[mRNA]}{dt}=k_{m}-\delta([mRNA],[siRNA])$</p> | <p>$\frac{d[mRNA]}{dt}=k_{m}-\delta([mRNA],[siRNA])$</p> | ||
| + | <br> | ||
<p>$k_{T}=$ rate of protein translation</p> | <p>$k_{T}=$ rate of protein translation</p> | ||
<p>$d_{p}=$ decay rate of protein</p> | <p>$d_{p}=$ decay rate of protein</p> | ||
<p>$\frac{d[protein]}{dt}=k_{T}[mRNA]-d_{p}[protein]$</p> | <p>$\frac{d[protein]}{dt}=k_{T}[mRNA]-d_{p}[protein]$</p> | ||
| − | <h3><p>Finding $\delta([mRNA],[siRNA])$</p></h3> | + | <h3> |
| + | <p>Finding $\delta([mRNA],[siRNA])$</p> | ||
| + | </h3> | ||
| + | <br> | ||
| + | <p>$\lambda=$ affinity of siRNA target site for siRNA guided RISC complex</p> | ||
| + | <p>$\kappa=$ mRNA cleave + dissociation rate of bound siRNA RISC</p> | ||
| + | <p>$siRNA^{*}=$ siRNA loaded (active) RISC complex</p> | ||
| + | <p>$siRNA^{*}_{bound}=$ mRNA bound siRNA^{*} complex</p> | ||
| + | <br> | ||
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</div> | </div> | ||
Revision as of 20:30, 6 October 2017
Modelling
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Modelling the relationship between siRNA and protein translation
$k_{m}=$ transcription rate of mRNA
$\delta([mRNA],[siRNA])=$ rate of mRNA degraded by siRNA
$\frac{d[mRNA]}{dt}=k_{m}-\delta([mRNA],[siRNA])$
$k_{T}=$ rate of protein translation
$d_{p}=$ decay rate of protein
$\frac{d[protein]}{dt}=k_{T}[mRNA]-d_{p}[protein]$
Finding $\delta([mRNA],[siRNA])$
$\lambda=$ affinity of siRNA target site for siRNA guided RISC complex
$\kappa=$ mRNA cleave + dissociation rate of bound siRNA RISC
$siRNA^{*}=$ siRNA loaded (active) RISC complex
$siRNA^{*}_{bound}=$ mRNA bound siRNA^{*} complex
A tetR decay model
Bacterial growth curves
