Team:UFMG Brazil/Modeling

From 2013.igem.org

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=In the lab=
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Texto introdutorio.
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This is the sketch of our modeling.<br>
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We are going to use TMAO as a biomarker.
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<div id="variables_description">
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{{Team:UFMG Brazil/sponsor}}
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<p> $M$ is TMAO. </p>
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<p> $T$ is TorT. </p>
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<p> $TM$ is the complex of T and M. </p>
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<p> $S$ is TorS. </p>
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<p> $STM$ is the complex of S and TM. </p>
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<p> $R$ is TorR. </p>
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<p> $R^{ *}$ is TorR Phosophorilated. </p>
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</div>
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<p><h1> Reactions:</h1></p>
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\[
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\begin{aligned}
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\\
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M+T{{k_{1} \atop\displaystyle\longrightarrow} \atop {\displaystyle\longleftarrow \atop k_{-1}}}TM
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\\
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2TM+S{{k_{2} \atop\displaystyle\longrightarrow} \atop {\displaystyle\longleftarrow \atop k_{-2}}}STM
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\\
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STM+R{{k_{3} \atop\displaystyle\longrightarrow} \atop {\displaystyle\longleftarrow \atop k_{-3}}} X {{k_{cat}\atop\longrightarrow} \atop {\quad  \atop \quad }}R^{ *} + STM
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\\
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R^{ *} + P {{\displaystyle\longrightarrow} \atop {\displaystyle\longleftarrow}} PR^{ *}
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\\
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\begin{eqnarray}
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\begin{cases}
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{d M(t)\over d t}&=& -k_1 \cdot  M\cdot T + k_{-1}\cdot TM\\\\
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\\\\
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{d T(t)\over d t}&=& -k_1 \cdot  M\cdot T + k_{-1}\cdot TM\\\\
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\\\\
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{d TM(t)\over d t}&=& k_1 \cdot  M\cdot T - k_{-1}\cdot TM - k_2\cdot TM^{2} \cdot S + k_{-2} \cdot STM\\\\
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\\\\
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{d S(t)\over d t}&=& -k_2 \cdot  S\cdot TM^{2} - k_{-1}\cdot TM - k_2\cdot TM^{2} \cdot S + k_{-2} \cdot STM\\\\
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\\\\
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{d STM(t)\over d t}&=& k_2 \cdot  TM^{2} \cdot S - k_{-2}\cdot STM \\\\
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\\\\
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{d R^{ *}(t)\over d t}&=& k_{cat}\cdot STM \over{k_m + STM}\\\\
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\\\\
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{d mRNA(t)\over d t}&=& {\alpha \cdot  R^{ *^{\gamma}} \over{\beta + R^{ *^{\gamma}}}} - \mu \cdot mRNA\\\\
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\\
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\end{cases}
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\end{eqnarray}
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\\
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\end{aligned}
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\]
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Revision as of 23:00, 27 October 2013

In the lab

Texto introdutorio.

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