- Author:
- David Nickerson <david.nickerson@gmail.com>
- Date:
- 2021-09-16 01:20:40+12:00
- Desc:
- Upadte jupyter notebook with MNT and DFN comparison figure
- Permanent Source URI:
- https://models.fieldml.org/workspace/a1/rawfile/ae7a0b93f4ee5fda3d81ba97eb459f958b2819c9/models/1962_noble/decomposed-n62/potassium_channel_n_gate_model.xml
<?xml version="1.0"?>
<model xmlns="http://www.cellml.org/cellml/1.1#" name="potassium_channel_n_gate_model">
<component name="potassium_channel_n_gate">
<variable initial_value="n_initial" name="n" private_interface="out" public_interface="out" units="dimensionless"/>
<variable name="n_initial" public_interface="in" units="dimensionless"/>
<variable name="alpha_n" private_interface="out" public_interface="out" units="per_ms"/>
<variable name="beta_n" private_interface="out" public_interface="out" units="per_ms"/>
<variable name="V" private_interface="out" public_interface="in" units="mV"/>
<variable name="time" private_interface="out" public_interface="in" units="ms"/>
<math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" cmeta:id="alpha_n_calculation_eq">
<apply id="alpha_n_calculation"><eq/>
<ci> alpha_n </ci>
<apply><divide/>
<apply><times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="per_mV_ms"> 0.0001 </cn>
<apply><minus/>
<apply><minus/>
<ci> V </ci>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="mV"> 50.0 </cn>
</apply>
</apply>
<apply><minus/>
<apply><exp/>
<apply><divide/>
<apply><minus/>
<apply><minus/>
<ci> V </ci>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="mV"> 50.0 </cn>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="mV"> 10.0 </cn>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless"> 1.0 </cn>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" cmeta:id="beta_n_calculation_eq">
<apply id="beta_n_calculation"><eq/>
<ci> beta_n </ci>
<apply><times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="per_ms"> 0.002 </cn>
<apply><exp/>
<apply><divide/>
<apply><minus/>
<apply><minus/>
<ci> V </ci>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="mV"> 90.0 </cn>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="mV"> 80.0 </cn>
</apply>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" cmeta:id="dn_dt_eq">
<apply id="dn_dt"><eq/>
<apply><diff/>
<bvar><ci> time </ci></bvar>
<ci> n </ci>
</apply>
<apply><minus/>
<apply><times/>
<ci> alpha_n </ci>
<apply><minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless"> 1.0 </cn>
<ci> n </ci>
</apply>
</apply>
<apply><times/>
<ci> beta_n </ci>
<ci> n </ci>
</apply>
</apply>
</apply>
</math>
</component>
<import xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="1962_noble-freeRunning_units_model.xml">
<units name="mm" units_ref="mm"/>
<units name="ng" units_ref="ng"/>
<units name="ms" units_ref="ms"/>
<units name="uA" units_ref="uA"/>
<units name="K" units_ref="K"/>
<units name="nmol" units_ref="nmol"/>
<units name="mmsq" units_ref="mmsq"/>
<units name="mmcu" units_ref="mmcu"/>
<units name="mssq" units_ref="mssq"/>
<units name="mscu" units_ref="mscu"/>
<units name="mV" units_ref="mV"/>
<units name="mVsq" units_ref="mVsq"/>
<units name="mV_per_ms" units_ref="mV_per_ms"/>
<units name="mS" units_ref="mS"/>
<units name="mS_per_mmsq" units_ref="mS_per_mmsq"/>
<units name="mS_per_mm" units_ref="mS_per_mm"/>
<units name="uA_per_mmsq" units_ref="uA_per_mmsq"/>
<units name="uA_per_mmcu" units_ref="uA_per_mmcu"/>
<units name="nC" units_ref="nC"/>
<units name="uF" units_ref="uF"/>
<units name="uF_per_mmsq" units_ref="uF_per_mmsq"/>
<units name="mM" units_ref="mM"/>
<units name="mM_per_ms" units_ref="mM_per_ms"/>
<units name="nN" units_ref="nN"/>
<units name="mPa" units_ref="mPa"/>
<units name="pJ" units_ref="pJ"/>
<units name="nW" units_ref="nW"/>
<units name="per_ms" units_ref="per_ms"/>
<units name="per_mm" units_ref="per_mm"/>
<units name="per_mV" units_ref="per_mV"/>
<units name="per_mV_per_ms" units_ref="per_mV_per_ms"/>
<units name="per_mM_per_ms" units_ref="per_mM_per_ms"/>
<units name="uA_per_mmsq_per_mM" units_ref="uA_per_mmsq_per_mM"/>
<units name="mm_per_ms" units_ref="mm_per_ms"/>
<units name="gas_constant" units_ref="gas_constant"/>
<units name="faradays_constant" units_ref="faradays_constant"/>
<units name="pA_per_pF" units_ref="pA_per_pF"/>
<units name="nS_per_pF" units_ref="nS_per_pF"/>
<units name="uF_per_cmsq" units_ref="uF_per_cmsq"/>
<units name="um" units_ref="um"/>
<units name="umsq" units_ref="umsq"/>
<units name="umcu" units_ref="umcu"/>
<units name="cmcu_per_uF_per_s" units_ref="cmcu_per_uF_per_s"/>
<units name="mM_per_s" units_ref="mM_per_s"/>
<units name="per_mV_ms" units_ref="per_mV_ms"/>
<units name="mS_per_mm2" units_ref="mS_per_mm2"/>
<units name="uF_per_mm2" units_ref="uF_per_mm2"/>
<units name="uA_per_mm2" units_ref="uA_per_mm2"/>
</import>
</model>
