- Author:
- Alan Garny <a.garny@auckland.ac.nz>
- Date:
- 2021-06-02 16:14:31+12:00
- Desc:
- Subject w to tau.
- Permanent Source URI:
- https://models.cellml.org/workspace/694/rawfile/74a9227b62e0f7b2e1c03fb1ede42108be155505/gerstner_kistler_model_2002.cellml
<?xml version='1.0' encoding='UTF-8'?>
<model name="gerstner_kistler_model_2002" xmlns="http://www.cellml.org/cellml/1.0#" xmlns:cellml="http://www.cellml.org/cellml/1.0#">
<!-- See https://brian2.readthedocs.io/en/stable/user/converting_from_integrated_form.html.-->
<units name="millisecond">
<unit prefix="milli" units="second"/>
</units>
<units name="millivolt">
<unit prefix="milli" units="volt"/>
</units>
<units name="per_second">
<unit exponent="-1" units="second"/>
</units>
<component name="main">
<variable name="t" units="millisecond"/>
<variable initial_value="300" name="t_period" units="millisecond"/>
<variable name="t_relative" units="dimensionless"/>
<variable name="t_w_relative" units="dimensionless"/>
<variable initial_value="-50" name="V" units="millivolt"/>
<variable initial_value="-50" name="V_rest" units="millivolt"/>
<variable initial_value="0" name="g" units="millivolt"/>
<variable initial_value="10" name="tau" units="millisecond"/>
<variable name="w" units="millivolt"/>
<variable initial_value="13" name="w_start" units="millisecond"/>
<variable initial_value="1" name="w_duration" units="millisecond"/>
<variable initial_value="3" name="w_period" units="millisecond"/>
<variable initial_value="5" name="w_n" units="dimensionless"/>
<variable initial_value="200" name="w_value" units="millivolt"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>t_relative</ci>
<apply>
<minus/>
<apply>
<rem/>
<ci>t</ci>
<ci>t_period</ci>
</apply>
<ci>w_start</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>t_w_relative</ci>
<apply>
<rem/>
<ci>t_relative</ci>
<ci>w_period</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>w</ci>
<piecewise>
<piece>
<ci>w_value</ci>
<apply>
<and/>
<apply>
<geq/>
<ci>t_relative</ci>
<cn cellml:units="millisecond">0</cn>
</apply>
<apply>
<lt/>
<ci>t_relative</ci>
<apply>
<times/>
<ci>w_n</ci>
<ci>w_period</ci>
</apply>
</apply>
<apply>
<lt/>
<ci>t_w_relative</ci>
<ci>w_duration</ci>
</apply>
</apply>
</piece>
<otherwise>
<cn cellml:units="millivolt">0</cn>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>V</ci>
</apply>
<apply>
<divide/>
<apply>
<plus/>
<apply>
<minus/>
<ci>V_rest</ci>
<ci>V</ci>
</apply>
<ci>g</ci>
</apply>
<ci>tau</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>g</ci>
</apply>
<apply>
<divide/>
<apply>
<plus/>
<apply>
<minus/>
<ci>g</ci>
</apply>
<ci>w</ci>
</apply>
<ci>tau</ci>
</apply>
</apply>
</math>
</component>
</model>
