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Threshold - Revision history
2024-03-29T00:02:15Z
Revision history for this page on the wiki
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http://seancarver.org/index.php?title=Threshold&diff=443&oldid=prev
Carver: /* Equilibrium Potentials */
2009-02-19T19:15:12Z
<p><span dir="auto"><span class="autocomment">Equilibrium Potentials</span></span></p>
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<td colspan='2' style="background-color: white; color:black; text-align: center;">Revision as of 19:15, 19 February 2009</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>And the homework due [[Media:Lab G.pdf|Wednesday night]].</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>And the homework due [[Media:Lab G.pdf|Wednesday night]].</div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">Today's Lab is the Threshold Tutorial.</ins></div></td></tr>
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<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* '''Homework:''' Go through the threshold tutorial, put three observations into PowerPoint and send to me.</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">== Next Week ==</ins></div></td></tr>
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<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">I will introduce the code that we will use for the project.  The homework assigned next Tuesday will be part "getting acquainted" with the code and part "review" of the tutorials.</ins></div></td></tr>
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Carver
http://seancarver.org/index.php?title=Threshold&diff=442&oldid=prev
Carver: /* Equilibrium Potentials */
2009-02-19T18:53:39Z
<p><span dir="auto"><span class="autocomment">Equilibrium Potentials</span></span></p>
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<td colspan='2' style="background-color: white; color:black; text-align: center;">Revision as of 18:53, 19 February 2009</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Now we can talk about the [[Media:Lab_F.pdf|homework due Monday night]].</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Now we can talk about the [[Media:Lab_F.pdf|homework due Monday night]].</div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr>
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Carver
http://seancarver.org/index.php?title=Threshold&diff=441&oldid=prev
Carver at 18:52, 19 February 2009
2009-02-19T18:52:43Z
<p></p>
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<td colspan='2' style="background-color: white; color:black; text-align: center;">Revision as of 18:52, 19 February 2009</td>
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<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">Tuesdays </del>lecture has been postponed for today due to a projector malfunction.</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">Tuesday's </ins>lecture has been postponed for today due to a projector malfunction.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>== Equilibrium Potentials ==</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>== Equilibrium Potentials ==</div></td></tr>
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Carver
http://seancarver.org/index.php?title=Threshold&diff=440&oldid=prev
Carver: New page: Tuesdays lecture has been postponed for today due to a projector malfunction. == Equilibrium Potentials == Recall the equation for the membrane potential in the Hodgkin-Huxley model: <m...
2009-02-19T18:52:30Z
<p>New page: Tuesdays lecture has been postponed for today due to a projector malfunction. == Equilibrium Potentials == Recall the equation for the membrane potential in the Hodgkin-Huxley model: <m...</p>
<p><b>New page</b></p><div>Tuesdays lecture has been postponed for today due to a projector malfunction.<br />
<br />
== Equilibrium Potentials ==<br />
<br />
Recall the equation for the membrane potential in the Hodgkin-Huxley model:<br />
<br />
<math> C \frac{dV}{dt} = I(t) - g_L (V(t) - E_L) - g_{Na} m^3(t) h(t) (V(t) - E_{Na}) - g_K n^4(t) (V(t) - E_K) </math><br />
<br />
You can find the equilibrium potential for given channel conductances. Set the injected current to zero I = 0. Then fix and absorb the gating variables and maximal conductances <math> (g_L, g_{Na}, g_{K}) </math> into single conductance variables <math> (G_L, G_{Na}, G_{K}) </math>.<br />
<br />
For example<br />
<br />
<big> <big> <math> G_{K} = g_K n^4 </math> </big> </big><br />
<br />
Then the differential equation for the membrane is<br />
<br />
<math> C \frac{dV}{dt} = - G_L (V - E_L) - G_{Na} (V - E_{Na}) - G_K (V - E_K) </math><br />
<br />
The equilibrium potential is the value of V such that <math> \frac{dV}{dt} </math> is zero. You can plug in <math> \frac{dV}{dt} = 0 </math> and solve for <math> V_{equilibrium}. </math><br />
<br />
<math> V_{equilibrium} = \frac{G_L E_L + G_{Na} E_{Na} + G_K E_K}{G_L + G_{Na} + G_K} </math><br />
<br />
The equilibrium potential is the weighted average of the reversal potentials -- weighted by the corresponding conductances. Note that the weights add to one.<br />
<br />
Now we can talk about the [[Media:Lab_F.pdf|homework due Monday night]].</div>
Carver