Location: A Simple Voltage-Modulated Markov Chain Model for the Piezo1 Ion Channel to Investigate Electromechanical Pacing @ 8465ce0a385c / models / channels / na_channel.cellml
- Author:
- termi-official <termi-official@users.noreply.github.com>
- Date:
- 2025-05-15 16:01:20+02:00
- Desc:
- Add documentation for submission
- Permanent Source URI:
- https://staging.physiomeproject.org/workspace/d20/rawfile/8465ce0a385cdc40e2f79b001798d600e9f9e4d2/models/channels/na_channel.cellml
<?xml version='1.0' encoding='UTF-8'?>
<!-- TODO read mahajan paper and find out which one this is.-->
<model name="na_channel" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#" xmlns:xlink="http://www.w3.org/1999/xlink">
<import xlink:href="../../units.cellml">
<units name="ms" units_ref="ms"/>
<units name="per_ms" units_ref="per_ms"/>
<units name="mV" units_ref="mV"/>
<units name="per_mV" units_ref="per_mV"/>
<units name="uS_per_nF" units_ref="uS_per_nF"/>
<units name="nA_per_nF" units_ref="nA_per_nF"/>
</import>
<component name="INa">
<variable name="V" public_interface="in" units="mV"/>
<variable name="time" public_interface="in" units="ms"/>
<variable name="ena" public_interface="in" units="mV"/>
<variable initial_value="0.001075453357" name="xm" units="dimensionless"/>
<variable initial_value="0.990691306716" name="xh" units="dimensionless"/>
<variable initial_value="0.993888937283" name="xj" units="dimensionless"/>
<variable initial_value="12" name="gna" units="uS_per_nF"/>
<variable name="am" units="per_ms"/>
<variable name="bm" units="per_ms"/>
<variable name="ah" units="per_ms"/>
<variable name="bh" units="per_ms"/>
<variable name="aj" units="per_ms"/>
<variable name="bj" units="per_ms"/>
<variable name="xina" public_interface="out" units="nA_per_nF"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>am</ci>
<piecewise>
<piece>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_ms">0.32</cn>
<cn cellml:units="per_mV">1</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="mV">47.13</cn>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_mV">0.1</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="mV">47.13</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<gt/>
<apply>
<abs/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="mV">47.13</cn>
</apply>
</apply>
<cn cellml:units="mV">0.001</cn>
</apply>
</piece>
<otherwise>
<cn cellml:units="per_ms">3.2</cn>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>bm</ci>
<apply>
<times/>
<cn cellml:units="per_ms">0.08</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<ci>V</ci>
</apply>
<cn cellml:units="mV">11</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>ah</ci>
<piecewise>
<piece>
<apply>
<times/>
<cn cellml:units="per_ms">0.135</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<cn cellml:units="mV">80</cn>
<ci>V</ci>
</apply>
<apply>
<minus/>
<cn cellml:units="mV">6.8</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<lt/>
<ci>V</ci>
<apply>
<minus/>
<cn cellml:units="mV">40</cn>
</apply>
</apply>
</piece>
<otherwise>
<cn cellml:units="per_ms">0</cn>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>bh</ci>
<piecewise>
<piece>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="per_ms">3.56</cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_mV">0.079</cn>
<ci>V</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="per_ms">310000</cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_mV">0.35</cn>
<ci>V</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<lt/>
<ci>V</ci>
<apply>
<minus/>
<cn cellml:units="mV">40</cn>
</apply>
</apply>
</piece>
<otherwise>
<apply>
<divide/>
<cn cellml:units="per_ms">1</cn>
<apply>
<times/>
<cn cellml:units="dimensionless">0.13</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="mV">10.66</cn>
</apply>
<apply>
<minus/>
<cn cellml:units="mV">11.1</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>aj</ci>
<piecewise>
<piece>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_ms">127140</cn>
</apply>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_mV">0.2444</cn>
<ci>V</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="per_ms">0.00003474</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_mV">0.04391</cn>
</apply>
<ci>V</ci>
</apply>
</apply>
</apply>
</apply>
<cn cellml:units="per_mV">1</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="mV">37.78</cn>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_mV">0.311</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="mV">79.23</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<lt/>
<ci>V</ci>
<apply>
<minus/>
<cn cellml:units="mV">40</cn>
</apply>
</apply>
</piece>
<otherwise>
<cn cellml:units="per_ms">0</cn>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>bj</ci>
<piecewise>
<piece>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_ms">0.1212</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_mV">0.01052</cn>
</apply>
<ci>V</ci>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_mV">0.1378</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="mV">40.14</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<lt/>
<ci>V</ci>
<apply>
<minus/>
<cn cellml:units="mV">40</cn>
</apply>
</apply>
</piece>
<otherwise>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_ms">0.3</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_mV">0.0000002535</cn>
</apply>
<ci>V</ci>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_mV">0.1</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="mV">32</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>xh</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>ah</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>xh</ci>
</apply>
</apply>
<apply>
<times/>
<ci>bh</ci>
<ci>xh</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>xj</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>aj</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>xj</ci>
</apply>
</apply>
<apply>
<times/>
<ci>bj</ci>
<ci>xj</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>xm</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>am</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>xm</ci>
</apply>
</apply>
<apply>
<times/>
<ci>bm</ci>
<ci>xm</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>xina</ci>
<apply>
<times/>
<ci>gna</ci>
<ci>xh</ci>
<ci>xj</ci>
<ci>xm</ci>
<ci>xm</ci>
<ci>xm</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>ena</ci>
</apply>
</apply>
</apply>
</math>
</component>
</model>