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Zhefu Li
Tsinghua
Commits
8504dad0
Commit
8504dad0
authored
6 months ago
by
Zhefu Li
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8504dad0
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@@ -516,7 +516,7 @@
\]
</p>
</div>
<
h2
>
Explanation
</
h2
>
<
strong
>
Explanation
</
strong
>
<p>
After Ste2 binds with muscone, it interacts with the G protein, causing the exchange of GDP
bound to the G protein with GTP in the cytoplasm, releasing Ste4 and Ste18. After Gpa1 catalyzes the
...
...
@@ -526,7 +526,7 @@
</p>
<
h2
>
Ordinary Differential Equations
</
h2
>
<
strong
>
Ordinary Differential Equations
</
strong
>
<div>
<p>
\[
...
...
@@ -544,7 +544,7 @@
\]
</p>
</div>
<
h2
>
Variables
</
h2
>
<
strong
>
Variables
</
strong
>
<table>
<thead>
<tr>
...
...
@@ -597,7 +597,7 @@
</tbody>
</table>
<
h2
>
Parameters
</
h2
>
<
strong
>
Parameters
</
strong
>
<table>
<thead>
<tr>
...
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@@ -647,7 +647,7 @@
</tbody>
</table>
<
h2
>
Initial Conditions
</
h2
>
<
strong
>
Initial Conditions
</
strong
>
<p>
There are \(1{\mu M}\) of Pheromone and \(1{\mu M}\) of inactive G proteins. Known variables are
entered, other variables are set to zero, and unknown parameters are defined. After starting the
...
...
@@ -696,7 +696,7 @@
\end{align*}
\]
</div>
<
h2
>
Variables
</
h2
>
<
strong
>
Variables
</
strong
>
<table>
<thead>
<tr>
...
...
@@ -732,7 +732,7 @@
</tbody>
</table>
<
h2
>
Parameters
</
h2
>
<
strong
>
Parameters
</
strong
>
<table>
<thead>
<tr>
...
...
@@ -792,13 +792,45 @@
</tbody>
</table>
<
h2
>
Initial conditions
</
h2
>
<
strong
>
Initial conditions
</
strong
>
<p>
Assume that before signal transduction starts, there are only free Ste5 and just released Ste4Ste18
in the cell, with concentrations both equal to 1, and parameters are assumed. After starting the
simulation, reactions occur according to the listed equations, and after a period of time, the
concentrations reach equilibrium.
</p>
<p>
TODO: Insert result graph
</p>
<h4>
Cascading Reactions
</h4>
<strong>
Reactions
</strong>
<div>
\[
\begin{align*}
Ste5_{off_{Ste11}} + Ste11_{off}
&
\leftrightarrows Ste5Ste11 \\
Ste5_{off_{Ste7}} + Ste7_{off}
&
\leftrightarrows Ste5Ste7 \\
Ste5_{off_{Fus3}} + Fus3_{off}
&
\leftrightarrows Ste5Fus3 \\
\end{align*}
\]
\[
\begin{align*}
Ste11
&
\xrightarrow {Ste20} Ste11_{pS} \\
Ste11_{pS}
&
\xrightarrow {Ste20} Ste11_{pSpS} \\
Ste11_{pSpS}
&
\xrightarrow {Ste20} Ste11_{pSpSpT} \\
\end{align*}
\]
\[
\begin{align*}
Ste7
&
\xrightarrow {Ste11_{pS},Ste11_{pSpS},Ste11_{pSpSpT}} Ste7_{pS} \\
Ste7_{pS}
&
\xrightarrow {Ste11_{pS},Ste11_{pSpS},Ste11_{pSpSpT}} Ste7_{pSpT}\\
\end{align*}
\]
\[
\begin{align*}
Fus3
&
\xrightarrow {Ste7_{pS},Ste7_{pSpT}} Fus3_{pY} \\
Fus3
&
\xrightarrow {Ste7_{pS},Ste7_{pSpT}} Fus3_{pT} \\
Fus3_{pY}
&
\xrightarrow {Ste7_{pS},Ste7_{pSpT}} Fus3_{pYpT} \\
Fus3_{pT}
&
\xrightarrow {Ste7_{pS},Ste7_{pSpT}} Fus3_{pYpT} \\
\end{align*}
\]
</div>
</div>
</div>
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