Location: A review of cardiac cellular electrophysiology models @ f6a8f9030738 / tutorial / csim-reference-description / named_3398.xml

Author:
David Nickerson <nickerso@users.sourceforge.net>
Date:
2009-07-16 02:00:03+12:00
Desc:
the starting point for the HH tutorial example
Permanent Source URI:
https://models.fieldml.org/workspace/a1/rawfile/f6a8f90307388eb4b040ee3566b84d88b59247f7/tutorial/csim-reference-description/named_3398.xml

<html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en"><math mode="display" xmlns="http://www.w3.org/1998/Math/MathML"><mml:mrow xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xhtml="http://www.w3.org/1999/xhtml"><mml:mrow><xhtml:a class="cellml-variable-name" href="javascript:;" onclick="top.displayContentItem('named_3703','named_3398');"><mml:mi mathvariant="normal">aCai</mml:mi></xhtml:a></mml:mrow><mml:mo>=</mml:mo><mml:mrow><mml:mo>[</mml:mo><mml:mn>-1.0</mml:mn><mml:mo rspace="thinmathspace"/><xhtml:a class="cellml-units-name" href="javascript:;" onclick="alert('Not implemented yet');"><mml:mi mathvariant="italic" mathsize="small">dimensionless</mml:mi></xhtml:a><mml:mo>]</mml:mo></mml:mrow></mml:mrow></math><math mode="display" xmlns="http://www.w3.org/1998/Math/MathML"><mml:mrow xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xhtml="http://www.w3.org/1999/xhtml"><mml:mrow><xhtml:a class="cellml-variable-name" href="javascript:;" onclick="top.displayContentItem('named_3704','named_3398');"><mml:mi mathvariant="normal">bCai</mml:mi></xhtml:a></mml:mrow><mml:mo>=</mml:mo><mml:mrow><mml:mrow><xhtml:a class="cellml-variable-name" href="javascript:;" onclick="top.displayContentItem('named_3705','named_3398');"><mml:mi mathvariant="normal">Cai_total</mml:mi></xhtml:a></mml:mrow><mml:mo>+</mml:mo><mml:mrow><xhtml:a class="cellml-variable-name" href="javascript:;" onclick="top.displayContentItem('named_3706','named_3398');"><mml:mi mathvariant="normal">Kbufc</mml:mi></xhtml:a></mml:mrow><mml:mo>+</mml:mo><mml:mrow><xhtml:a class="cellml-variable-name" href="javascript:;" onclick="top.displayContentItem('named_3708','named_3398');"><mml:mi mathvariant="normal">Bufc</mml:mi></xhtml:a></mml:mrow></mml:mrow></mml:mrow></math><math mode="display" xmlns="http://www.w3.org/1998/Math/MathML"><mml:mrow xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xhtml="http://www.w3.org/1999/xhtml"><mml:mrow><xhtml:a class="cellml-variable-name" href="javascript:;" onclick="top.displayContentItem('named_3710','named_3398');"><mml:mi mathvariant="normal">cCai</mml:mi></xhtml:a></mml:mrow><mml:mo>=</mml:mo><mml:mrow><mml:mo>&#x2212;</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:mrow><xhtml:a class="cellml-variable-name" href="javascript:;" onclick="top.displayContentItem('named_3708','named_3398');"><mml:mi mathvariant="normal">Bufc</mml:mi></xhtml:a></mml:mrow><mml:mo rspace="thinmathspace">&#x2062;</mml:mo><mml:mrow><xhtml:a class="cellml-variable-name" href="javascript:;" onclick="top.displayContentItem('named_3705','named_3398');"><mml:mi mathvariant="normal">Cai_total</mml:mi></xhtml:a></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:mrow></math><math mode="display" xmlns="http://www.w3.org/1998/Math/MathML"><mml:mrow xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xhtml="http://www.w3.org/1999/xhtml"><mml:mrow><xhtml:a class="cellml-variable-name" href="javascript:;" onclick="top.displayContentItem('named_3711','named_3398');"><mml:mi mathvariant="normal">Cai_buf</mml:mi></xhtml:a></mml:mrow><mml:mo>=</mml:mo><mml:mrow><mml:mrow><mml:msqrt><mml:mrow><mml:msup><mml:mrow><xhtml:a class="cellml-variable-name" href="javascript:;" onclick="top.displayContentItem('named_3704','named_3398');"><mml:mi mathvariant="normal">bCai</mml:mi></xhtml:a></mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mn>2.0</mml:mn><mml:mo rspace="thinmathspace"/><xhtml:a class="cellml-units-name" href="javascript:;" onclick="alert('Not implemented yet');"><mml:mi mathvariant="italic" mathsize="small">dimensionless</mml:mi></xhtml:a><mml:mo>]</mml:mo></mml:mrow></mml:msup><mml:mo>&#x2212;</mml:mo><mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mn>4.0</mml:mn><mml:mo rspace="thinmathspace"/><xhtml:a class="cellml-units-name" href="javascript:;" onclick="alert('Not implemented yet');"><mml:mi mathvariant="italic" mathsize="small">dimensionless</mml:mi></xhtml:a><mml:mo>]</mml:mo></mml:mrow><mml:mo rspace="thinmathspace">&#x2062;</mml:mo><mml:mrow><xhtml:a class="cellml-variable-name" href="javascript:;" onclick="top.displayContentItem('named_3703','named_3398');"><mml:mi mathvariant="normal">aCai</mml:mi></xhtml:a></mml:mrow><mml:mo rspace="thinmathspace">&#x2062;</mml:mo><mml:mrow><xhtml:a class="cellml-variable-name" href="javascript:;" onclick="top.displayContentItem('named_3710','named_3398');"><mml:mi mathvariant="normal">cCai</mml:mi></xhtml:a></mml:mrow></mml:mrow></mml:mrow></mml:msqrt><mml:mo>&#x2212;</mml:mo><mml:mrow><xhtml:a class="cellml-variable-name" href="javascript:;" onclick="top.displayContentItem('named_3704','named_3398');"><mml:mi mathvariant="normal">bCai</mml:mi></xhtml:a></mml:mrow></mml:mrow><mml:mo>/</mml:mo><mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mn>2.0</mml:mn><mml:mo rspace="thinmathspace"/><xhtml:a class="cellml-units-name" href="javascript:;" onclick="alert('Not implemented yet');"><mml:mi mathvariant="italic" mathsize="small">dimensionless</mml:mi></xhtml:a><mml:mo>]</mml:mo></mml:mrow><mml:mo rspace="thinmathspace">&#x2062;</mml:mo><mml:mrow><xhtml:a class="cellml-variable-name" href="javascript:;" onclick="top.displayContentItem('named_3703','named_3398');"><mml:mi mathvariant="normal">aCai</mml:mi></xhtml:a></mml:mrow></mml:mrow></mml:mrow></mml:mrow></math><math mode="display" xmlns="http://www.w3.org/1998/Math/MathML"><mml:mrow xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xhtml="http://www.w3.org/1999/xhtml"><mml:mrow><xhtml:a class="cellml-variable-name" href="javascript:;" onclick="top.displayContentItem('named_3625','named_3398');"><mml:mi mathvariant="normal">Cai</mml:mi></xhtml:a></mml:mrow><mml:mo>=</mml:mo><mml:mrow><mml:mrow><xhtml:a class="cellml-variable-name" href="javascript:;" onclick="top.displayContentItem('named_3705','named_3398');"><mml:mi mathvariant="normal">Cai_total</mml:mi></xhtml:a></mml:mrow><mml:mo>&#x2212;</mml:mo><mml:mrow><xhtml:a class="cellml-variable-name" href="javascript:;" onclick="top.displayContentItem('named_3711','named_3398');"><mml:mi mathvariant="normal">Cai_buf</mml:mi></xhtml:a></mml:mrow></mml:mrow></mml:mrow></math><math mode="display" xmlns="http://www.w3.org/1998/Math/MathML"><mml:mrow xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xhtml="http://www.w3.org/1999/xhtml"><mml:mfrac><mml:mrow><mml:mo>d</mml:mo><mml:mrow><xhtml:a class="cellml-variable-name" href="javascript:;" onclick="top.displayContentItem('named_3705','named_3398');"><mml:mi mathvariant="normal">Cai_total</mml:mi></xhtml:a></mml:mrow></mml:mrow><mml:mrow><mml:mo>d</mml:mo><mml:mi><mml:mrow><xhtml:a class="cellml-variable-name" href="javascript:;" onclick="top.displayContentItem('named_3428','named_3398');"><mml:mi mathvariant="normal">time</mml:mi></xhtml:a></mml:mrow></mml:mi></mml:mrow></mml:mfrac><mml:mo>=</mml:mo><mml:mrow><mml:mrow><xhtml:a class="cellml-variable-name" href="javascript:;" onclick="top.displayContentItem('named_3515','named_3398');"><mml:mi mathvariant="normal">Ca_flux</mml:mi></xhtml:a></mml:mrow><mml:mo>+</mml:mo><mml:mrow><xhtml:a class="cellml-variable-name" href="javascript:;" onclick="top.displayContentItem('named_3526','named_3398');"><mml:mi mathvariant="normal">Ca_SR_flux</mml:mi></xhtml:a></mml:mrow></mml:mrow></mml:mrow></math><math mode="display" xmlns="http://www.w3.org/1998/Math/MathML"><mml:mrow xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xhtml="http://www.w3.org/1999/xhtml"><mml:mrow><xhtml:a class="cellml-variable-name" href="javascript:;" onclick="top.displayContentItem('named_3715','named_3398');"><mml:mi mathvariant="normal">aCaSR</mml:mi></xhtml:a></mml:mrow><mml:mo>=</mml:mo><mml:mrow><mml:mo>[</mml:mo><mml:mn>-1.0</mml:mn><mml:mo rspace="thinmathspace"/><xhtml:a class="cellml-units-name" href="javascript:;" onclick="alert('Not implemented yet');"><mml:mi mathvariant="italic" mathsize="small">dimensionless</mml:mi></xhtml:a><mml:mo>]</mml:mo></mml:mrow></mml:mrow></math><math mode="display" xmlns="http://www.w3.org/1998/Math/MathML"><mml:mrow xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xhtml="http://www.w3.org/1999/xhtml"><mml:mrow><xhtml:a class="cellml-variable-name" href="javascript:;" onclick="top.displayContentItem('named_3716','named_3398');"><mml:mi mathvariant="normal">bCaSR</mml:mi></xhtml:a></mml:mrow><mml:mo>=</mml:mo><mml:mrow><mml:mrow><xhtml:a class="cellml-variable-name" href="javascript:;" onclick="top.displayContentItem('named_3717','named_3398');"><mml:mi mathvariant="normal">CaSR_total</mml:mi></xhtml:a></mml:mrow><mml:mo>+</mml:mo><mml:mrow><xhtml:a class="cellml-variable-name" href="javascript:;" onclick="top.displayContentItem('named_3718','named_3398');"><mml:mi mathvariant="normal">Kbufsr</mml:mi></xhtml:a></mml:mrow><mml:mo>+</mml:mo><mml:mrow><xhtml:a class="cellml-variable-name" href="javascript:;" onclick="top.displayContentItem('named_3720','named_3398');"><mml:mi mathvariant="normal">Bufsr</mml:mi></xhtml:a></mml:mrow></mml:mrow></mml:mrow></math><math mode="display" xmlns="http://www.w3.org/1998/Math/MathML"><mml:mrow xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xhtml="http://www.w3.org/1999/xhtml"><mml:mrow><xhtml:a class="cellml-variable-name" href="javascript:;" onclick="top.displayContentItem('named_3722','named_3398');"><mml:mi mathvariant="normal">cCaSR</mml:mi></xhtml:a></mml:mrow><mml:mo>=</mml:mo><mml:mrow><mml:mo>&#x2212;</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:mrow><xhtml:a class="cellml-variable-name" href="javascript:;" onclick="top.displayContentItem('named_3720','named_3398');"><mml:mi mathvariant="normal">Bufsr</mml:mi></xhtml:a></mml:mrow><mml:mo rspace="thinmathspace">&#x2062;</mml:mo><mml:mrow><xhtml:a class="cellml-variable-name" href="javascript:;" onclick="top.displayContentItem('named_3717','named_3398');"><mml:mi mathvariant="normal">CaSR_total</mml:mi></xhtml:a></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:mrow></math><math mode="display" xmlns="http://www.w3.org/1998/Math/MathML"><mml:mrow xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xhtml="http://www.w3.org/1999/xhtml"><mml:mrow><xhtml:a class="cellml-variable-name" href="javascript:;" onclick="top.displayContentItem('named_3723','named_3398');"><mml:mi mathvariant="normal">CaSR_buf</mml:mi></xhtml:a></mml:mrow><mml:mo>=</mml:mo><mml:mrow><mml:mrow><mml:msqrt><mml:mrow><mml:msup><mml:mrow><xhtml:a class="cellml-variable-name" href="javascript:;" onclick="top.displayContentItem('named_3716','named_3398');"><mml:mi mathvariant="normal">bCaSR</mml:mi></xhtml:a></mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mn>2.0</mml:mn><mml:mo rspace="thinmathspace"/><xhtml:a class="cellml-units-name" href="javascript:;" onclick="alert('Not implemented yet');"><mml:mi mathvariant="italic" mathsize="small">dimensionless</mml:mi></xhtml:a><mml:mo>]</mml:mo></mml:mrow></mml:msup><mml:mo>&#x2212;</mml:mo><mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mn>4.0</mml:mn><mml:mo rspace="thinmathspace"/><xhtml:a class="cellml-units-name" href="javascript:;" onclick="alert('Not implemented yet');"><mml:mi mathvariant="italic" mathsize="small">dimensionless</mml:mi></xhtml:a><mml:mo>]</mml:mo></mml:mrow><mml:mo rspace="thinmathspace">&#x2062;</mml:mo><mml:mrow><xhtml:a class="cellml-variable-name" href="javascript:;" onclick="top.displayContentItem('named_3715','named_3398');"><mml:mi mathvariant="normal">aCaSR</mml:mi></xhtml:a></mml:mrow><mml:mo rspace="thinmathspace">&#x2062;</mml:mo><mml:mrow><xhtml:a class="cellml-variable-name" href="javascript:;" onclick="top.displayContentItem('named_3722','named_3398');"><mml:mi mathvariant="normal">cCaSR</mml:mi></xhtml:a></mml:mrow></mml:mrow></mml:mrow></mml:msqrt><mml:mo>&#x2212;</mml:mo><mml:mrow><xhtml:a class="cellml-variable-name" href="javascript:;" onclick="top.displayContentItem('named_3716','named_3398');"><mml:mi mathvariant="normal">bCaSR</mml:mi></xhtml:a></mml:mrow></mml:mrow><mml:mo>/</mml:mo><mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mn>2.0</mml:mn><mml:mo rspace="thinmathspace"/><xhtml:a class="cellml-units-name" href="javascript:;" onclick="alert('Not implemented yet');"><mml:mi mathvariant="italic" mathsize="small">dimensionless</mml:mi></xhtml:a><mml:mo>]</mml:mo></mml:mrow><mml:mo rspace="thinmathspace">&#x2062;</mml:mo><mml:mrow><xhtml:a class="cellml-variable-name" href="javascript:;" onclick="top.displayContentItem('named_3715','named_3398');"><mml:mi mathvariant="normal">aCaSR</mml:mi></xhtml:a></mml:mrow></mml:mrow></mml:mrow></mml:mrow></math><math mode="display" xmlns="http://www.w3.org/1998/Math/MathML"><mml:mrow xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xhtml="http://www.w3.org/1999/xhtml"><mml:mrow><xhtml:a class="cellml-variable-name" href="javascript:;" onclick="top.displayContentItem('named_3724','named_3398');"><mml:mi mathvariant="normal">CaSR</mml:mi></xhtml:a></mml:mrow><mml:mo>=</mml:mo><mml:mrow><mml:mrow><xhtml:a class="cellml-variable-name" href="javascript:;" onclick="top.displayContentItem('named_3717','named_3398');"><mml:mi mathvariant="normal">CaSR_total</mml:mi></xhtml:a></mml:mrow><mml:mo>&#x2212;</mml:mo><mml:mrow><xhtml:a class="cellml-variable-name" href="javascript:;" onclick="top.displayContentItem('named_3723','named_3398');"><mml:mi mathvariant="normal">CaSR_buf</mml:mi></xhtml:a></mml:mrow></mml:mrow></mml:mrow></math><math mode="display" xmlns="http://www.w3.org/1998/Math/MathML"><mml:mrow xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xhtml="http://www.w3.org/1999/xhtml"><mml:mfrac><mml:mrow><mml:mo>d</mml:mo><mml:mrow><xhtml:a class="cellml-variable-name" href="javascript:;" onclick="top.displayContentItem('named_3717','named_3398');"><mml:mi mathvariant="normal"> CaSR_total </mml:mi></xhtml:a></mml:mrow></mml:mrow><mml:mrow><mml:mo>d</mml:mo><mml:mi><mml:mrow><xhtml:a class="cellml-variable-name" href="javascript:;" onclick="top.displayContentItem('named_3428','named_3398');"><mml:mi mathvariant="normal">time</mml:mi></xhtml:a></mml:mrow></mml:mi></mml:mrow></mml:mfrac><mml:mo>=</mml:mo><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><xhtml:a class="cellml-variable-name" href="javascript:;" onclick="top.displayContentItem('named_3492','named_3398');"><mml:mi mathvariant="normal">vC</mml:mi></xhtml:a></mml:mrow><mml:mo>/</mml:mo><mml:mrow><xhtml:a class="cellml-variable-name" href="javascript:;" onclick="top.displayContentItem('named_3726','named_3398');"><mml:mi mathvariant="normal">vSR</mml:mi></xhtml:a></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mo rspace="thinmathspace">&#x2062;</mml:mo><mml:mrow><mml:mo>&#x2212;</mml:mo><mml:mrow><xhtml:a class="cellml-variable-name" href="javascript:;" onclick="top.displayContentItem('named_3526','named_3398');"><mml:mi mathvariant="normal">Ca_SR_flux</mml:mi></xhtml:a></mml:mrow></mml:mrow></mml:mrow></mml:mrow></math></html>