Team:HokkaidoU Japan/Projects/H Stem

From 2014.igem.org

(Difference between revisions)
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<div id="text">
<div id="text">
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\[ \zeta(s) = \sum_{n=1}^\infty\frac{1}{n^s} \]
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\[ X+Y \overset{k_{\rm unbind}}{\underset{k_{\rm bind}}{\rightleftharpoons}} Z \]
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\[ \sigma_1 = \left(
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                  \matrix{ 0 & 1  \cr
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                            1 & 0 } \right),
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    \sigma_2 = \left(
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                    \matrix{ 0 & -i \cr
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                            i & 0 } \right),
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    \sigma_3 = \left(
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                    \matrix{ 1 & 0  \cr
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                            0 & -1} \right)
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は,以下の式を満たす.
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\left[ \frac{\sigma_i}{2}~,~\frac{\sigma_j}{2} \right] = i\varepsilon_{ijk} \frac{\sigma_k}{2} \]
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\[ X+Y \overset{k_{unbind}}{\underset{k_{bind}}{\rightleftharpoons}} Z \]
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\begin{cases}
\begin{cases}
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   \dot{x}=a-bx-k_{\rm bind}xy+k_{unbind}z & \\
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   \dot{x}=a-bx-k_{\rm bind}xy+k_{\rm unbind}z & \\
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   \dot{y}=1-y-k_{bind}xy+k_{unbind}z & \\
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   \dot{y}=1-y-k_{\rm bind}xy+k_{\rm unbind}z & \\
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   \dot{z}=k_{bind}xy-k_{unbind}z-cz &
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   \dot{z}=k_{\rm bind}xy-k_{\rm unbind}z-cz &
  \end{cases}
  \end{cases}
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\[ y=\frac{1}{2} \biggl\{ \sqrt{ \bigl( a-1+\frac{b}{\gamma} \bigl)^2 +4 \frac{b}{\gamma}} - \Bigl( a-1+\frac{b}{\gamma} \Bigl) \biggl\} 　\]
\[ y=\frac{1}{2} \biggl\{ \sqrt{ \bigl( a-1+\frac{b}{\gamma} \bigl)^2 +4 \frac{b}{\gamma}} - \Bigl( a-1+\frac{b}{\gamma} \Bigl) \biggl\} 　\]
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\[ \gamma = \frac{k_{bind}c}{k_{unbind}+c} \]
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\[ \gamma = \frac{k_{\rm bind}c}{k_{\rm unbind}+c} \]

Revision as of 09:43, 13 October 2014

Over View

How To Use

Modelling

Detail
\[ X+Y \overset{k_{\rm unbind}}{\underset{k_{\rm bind}}{\rightleftharpoons}} Z \] \begin{cases} \dot{x}=a-bx-k_{\rm bind}xy+k_{\rm unbind}z & \\ \dot{y}=1-y-k_{\rm bind}xy+k_{\rm unbind}z & \\ \dot{z}=k_{\rm bind}xy-k_{\rm unbind}z-cz & \end{cases} \[ y=\frac{1}{2} \biggl\{ \sqrt{ \bigl( a-1+\frac{b}{\gamma} \bigl)^2 +4 \frac{b}{\gamma}} - \Bigl( a-1+\frac{b}{\gamma} \Bigl) \biggl\} 　\] \[ \gamma = \frac{k_{\rm bind}c}{k_{\rm unbind}+c} \]

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