Location: A Simple Voltage-Modulated Markov Chain Model for the Piezo1 Ion Channel to Investigate Electromechanical Pacing @ 8465ce0a385c / models / channels / to_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/to_channel.cellml
<?xml version='1.0' encoding='UTF-8'?>
<!-- TODO read mahajan paper and find out which one this is.-->
<model name="to_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="Ito">
<variable name="V" public_interface="in" units="mV"/>
<variable name="ek" public_interface="in" units="mV"/>
<variable name="time" public_interface="in" units="ms"/>
<variable name="xito" public_interface="out" units="nA_per_nF"/>
<variable name="xitos" units="nA_per_nF"/>
<variable name="xitof" units="nA_per_nF"/>
<variable initial_value="0.00364776906" name="xtos" units="dimensionless"/>
<variable initial_value="0.174403618112" name="ytos" units="dimensionless"/>
<variable initial_value="0.003643592594" name="xtof" units="dimensionless"/>
<variable initial_value="0.993331326442" name="ytof" units="dimensionless"/>
<variable initial_value="0.04" name="gtos" units="uS_per_nF"/>
<variable initial_value="0.11" name="gtof" units="uS_per_nF"/>
<variable name="rt1" units="dimensionless"/>
<variable name="rt2" units="dimensionless"/>
<variable name="rt3" units="dimensionless"/>
<variable name="rt4" units="dimensionless"/>
<variable name="rt5" units="dimensionless"/>
<variable name="xtos_inf" units="dimensionless"/>
<variable name="ytos_inf" units="dimensionless"/>
<variable name="xtof_inf" units="dimensionless"/>
<variable name="ytof_inf" units="dimensionless"/>
<variable name="rs_inf" units="dimensionless"/>
<variable name="txs" units="ms"/>
<variable name="tys" units="ms"/>
<variable name="txf" units="ms"/>
<variable name="tyf" units="ms"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>rt1</ci>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="mV">3</cn>
</apply>
</apply>
<cn cellml:units="mV">15</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>rt2</ci>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="mV">33.5</cn>
</apply>
<cn cellml:units="mV">10</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>rt3</ci>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="mV">60</cn>
</apply>
<cn cellml:units="mV">10</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>rt4</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<minus/>
<ci>V</ci>
</apply>
<cn cellml:units="mV">30</cn>
</apply>
<ci>V</ci>
</apply>
<cn cellml:units="mV">30</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>rt5</ci>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="mV">33.5</cn>
</apply>
<cn cellml:units="mV">10</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>xtos_inf</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<ci>rt1</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>ytos_inf</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<ci>rt2</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>xtof_inf</ci>
<ci>xtos_inf</ci>
</apply>
<apply>
<eq/>
<ci>ytof_inf</ci>
<ci>ytos_inf</ci>
</apply>
<apply>
<eq/>
<ci>rs_inf</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<ci>rt2</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>txs</ci>
<apply>
<plus/>
<apply>
<divide/>
<cn cellml:units="ms">9</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<minus/>
<ci>rt1</ci>
</apply>
</apply>
</apply>
</apply>
<cn cellml:units="ms">0.5</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>tys</ci>
<apply>
<plus/>
<apply>
<divide/>
<cn cellml:units="ms">3000</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<ci>rt3</ci>
</apply>
</apply>
</apply>
<cn cellml:units="ms">30</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>txf</ci>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="ms">3.5</cn>
<apply>
<exp/>
<ci>rt4</ci>
</apply>
</apply>
<cn cellml:units="ms">1.5</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>tyf</ci>
<apply>
<plus/>
<apply>
<divide/>
<cn cellml:units="ms">20</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<ci>rt5</ci>
</apply>
</apply>
</apply>
<cn cellml:units="ms">20</cn>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>xtos</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>xtos_inf</ci>
<ci>xtos</ci>
</apply>
<ci>txs</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>ytos</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>ytos_inf</ci>
<ci>ytos</ci>
</apply>
<ci>tys</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>xtof</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>xtof_inf</ci>
<ci>xtof</ci>
</apply>
<ci>txf</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>ytof</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>ytof_inf</ci>
<ci>ytof</ci>
</apply>
<ci>tyf</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>xitos</ci>
<apply>
<times/>
<ci>gtos</ci>
<ci>xtos</ci>
<apply>
<plus/>
<ci>ytos</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">0.5</cn>
<ci>rs_inf</ci>
</apply>
</apply>
<apply>
<minus/>
<ci>V</ci>
<ci>ek</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>xitof</ci>
<apply>
<times/>
<ci>gtof</ci>
<ci>xtof</ci>
<ci>ytof</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>ek</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>xito</ci>
<apply>
<plus/>
<ci>xitos</ci>
<ci>xitof</ci>
</apply>
</apply>
</math>
</component>
</model>