Team:UFMG Brazil/Modeling

From 2013.igem.org

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=Modeling=
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\[
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Given the complexity regarding both detection systems, we made computational models to describe them, and to try and predict their behaviour, so as to aid on the lab experiments. Check out our models for <a href='https://2013.igem.org/Team:UFMG_Brazil/TMAO'>TMAO</a> and <a href='https://2013.igem.org/Team:UFMG_Brazil/IMA'>IMA</a>.
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\begin{aligned}
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M is TMAO.
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$T$ is TorT.
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$TM$ is the complex of T and M.
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$S$ is TorS.
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$STM$ is the complex of S and TM.
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$R$ is TorR.
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$R^{ *}$ is TorR Phosophorilated.
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Reactions:
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$M+T{{k_{1} \atop\displaystyle\longrightarrow} \atop {\displaystyle\longleftarrow \atop k_{-1}}}TM$
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$2TM+S{{k_{2} \atop\displaystyle\longrightarrow} \atop {\displaystyle\longleftarrow \atop k_{-2}}}STM$
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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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$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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{{Team:UFMG Brazil/sponsor}}
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{| style="color:#1b2c8a;background-color:#0c6;" cellpadding="3" cellspacing="1" border="1" bordercolor="#fff" width="62%" align="center"
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!align="center"|[[Team:UFMG_Brazil|Home]]
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!align="center"|[[Team:UFMG_Brazil/Team|Team]]
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!align="center"|[https://igem.org/Team.cgi?year=2013&team_name=UFMG_Brazil Official Team Profile]
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!align="center"|[[Team:UFMG_Brazil/Project|Project]]
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!align="center"|[[Team:UFMG_Brazil/Parts|Parts Submitted to the Registry]]
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!align="center"|[[Team:UFMG_Brazil/Modeling|Modeling]]
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!align="center"|[[Team:UFMG_Brazil/Notebook|Notebook]]
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!align="center"|[[Team:UFMG_Brazil/Safety|Safety]]
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!align="center"|[[Team:UFMG_Brazil/Attributions|Attributions]]
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|}
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If you choose to include a '''Modeling''' page, please write about your modeling adventures here.  This is not necessary but it may be a nice list to include.
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Latest revision as of 17:49, 28 October 2013

Modeling

Given the complexity regarding both detection systems, we made computational models to describe them, and to try and predict their behaviour, so as to aid on the lab experiments. Check out our models for TMAO and IMA.

Our Sponsors

Reitoria-de-pesquisa-UFMG.jpg Reitoria-de-posgraduacao-UFMG.jpg Icb ufmg.jpg Bioquimica.jpg Bioinformatica.jpg INCT.jpg Inctv.jpg Nanobiofar.jpg Fapemig.jpg Sintesebiotecnologia.jpg