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full2-voltage-clamp-mc3.cellml
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full2-voltage-clamp-mc3.cellml
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<?xml version='1.0' encoding='UTF-8'?>
<model xmlns="http://www.cellml.org/cellml/1.0#" xmlns:cellml="http://www.cellml.org/cellml/1.0#" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" xmlns:bqbiol="http://biomodels.net/biology-qualifiers/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" name="compensated_voltage_clamp_mc3">
<units name="A_per_F">
<unit units="gram" multiplier="1000"/>
<unit units="metre" exponent="2.0"/>
<unit units="second" exponent="-4.0"/>
<unit units="ampere" exponent="-1.0"/>
</units>
<units name="Ohm_times_1e12">
<unit units="gram" multiplier="1000000000000"/>
<unit units="metre" exponent="2.0"/>
<unit units="second" exponent="-3.0"/>
<unit units="ampere" exponent="-2.0"/>
</units>
<units name="mV">
<unit units="gram"/>
<unit units="metre" exponent="2.0"/>
<unit units="second" exponent="-3.0"/>
<unit units="ampere" exponent="-1.0"/>
</units>
<units name="ms">
<unit units="second" multiplier="0.001"/>
</units>
<units name="nS">
<unit units="gram" exponent="-1.0" multiplier="1e-12"/>
<unit units="metre" exponent="-2.0"/>
<unit units="second" exponent="3.0"/>
<unit units="ampere" exponent="2.0"/>
</units>
<units name="pA">
<unit units="ampere" multiplier="1e-12"/>
</units>
<units name="pF">
<unit units="gram" exponent="-1.0" multiplier="1e-15"/>
<unit units="metre" exponent="-2.0"/>
<unit units="second" exponent="4.0"/>
<unit units="ampere" exponent="2.0"/>
</units>
<component name="engine">
<variable name="pace" units="dimensionless" public_interface="out" initial_value="0.0"/>
<variable name="time" units="ms" public_interface="out"/>
</component>
<component name="mc">
<variable name="I" units="pA" public_interface="out"/>
<variable name="Icc" units="pA" initial_value="0.0"/>
<variable name="Ik" units="pA" initial_value="0.0"/>
<variable name="Im" units="pA"/>
<variable name="V" units="A_per_F" public_interface="in"/>
<variable name="ck" units="pF" initial_value="1000.0"/>
<variable name="cprs" units="pF" public_interface="in"/>
<variable name="dVdt" units="mV" public_interface="in"/>
<variable name="gk" units="nS" initial_value="10.0"/>
<variable name="gm" units="nS" initial_value="2.0"/>
<variable name="rseries" units="Ohm_times_1e12" public_interface="in"/>
<variable name="time" units="ms" public_interface="in"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>I</ci>
<apply>
<plus/>
<apply>
<plus/>
<ci>Ik</ci>
<ci>Im</ci>
</apply>
<ci>Icc</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Icc</ci>
</apply>
<apply>
<times/>
<ci>rseries</ci>
<apply>
<minus/>
<ci>dVdt</ci>
<apply>
<divide/>
<ci>Icc</ci>
<ci>cprs</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Ik</ci>
</apply>
<apply>
<times/>
<ci>gk</ci>
<apply>
<minus/>
<ci>dVdt</ci>
<apply>
<divide/>
<ci>Ik</ci>
<ci>ck</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Im</ci>
<apply>
<times/>
<ci>gm</ci>
<ci>V</ci>
</apply>
</apply>
</math>
</component>
<component name="membrane">
<variable name="I" units="pA" public_interface="in"/>
<variable name="V" units="A_per_F" public_interface="out" initial_value="0.0"/>
<variable name="Vp" units="mV" public_interface="in"/>
<variable name="cm" units="pF" initial_value="100.0"/>
<variable name="dVdt" units="mV" public_interface="out"/>
<variable name="membrane_dVdt_tau" units="ms"/>
<variable name="rseries" units="Ohm_times_1e12" public_interface="in"/>
<variable name="time" units="ms" public_interface="in"/>
<variable name="voffset_eff" units="mV" public_interface="in"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>V</ci>
</apply>
<ci>dVdt</ci>
</apply>
<apply>
<eq/>
<ci>dVdt</ci>
<apply>
<minus/>
<apply>
<divide/>
<apply>
<plus/>
<apply>
<minus/>
<ci>Vp</ci>
<ci>V</ci>
</apply>
<ci>voffset_eff</ci>
</apply>
<ci>membrane_dVdt_tau</ci>
</apply>
<apply>
<divide/>
<ci>I</ci>
<ci>cm</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>membrane_dVdt_tau</ci>
<apply>
<times/>
<ci>cm</ci>
<ci>rseries</ci>
</apply>
</apply>
</math>
</component>
<component name="voltageclamp">
<variable name="Iin" units="pA"/>
<variable name="Iout" units="pA" initial_value="0.0"/>
<variable name="V" units="A_per_F" public_interface="in"/>
<variable name="Vc" units="mV"/>
<variable name="Vclamp" units="mV" initial_value="0.0"/>
<variable name="Vest" units="mV" initial_value="0.0"/>
<variable name="Vp" units="mV" public_interface="out" initial_value="0.0"/>
<variable name="alpha" units="dimensionless" initial_value="0.8"/>
<variable name="cm_est" units="pF"/>
<variable name="cprs" units="pF" public_interface="out" initial_value="4.0"/>
<variable name="cprs_est" units="pF"/>
<variable name="dVclampdt" units="A_per_F"/>
<variable name="dVestdt" units="A_per_F"/>
<variable name="dVpdt" units="A_per_F"/>
<variable name="pace" units="dimensionless" public_interface="in"/>
<variable name="rseries" units="Ohm_times_1e12" public_interface="out"/>
<variable name="rseries_est" units="Ohm_times_1e12"/>
<variable name="tau_clamp" units="ms"/>
<variable name="tau_sum" units="ms" initial_value="0.04"/>
<variable name="time" units="ms" public_interface="in"/>
<variable name="voffset_eff" units="mV" public_interface="out" initial_value="5.0"/>
<variable name="voltageclamp_Iout_tau" units="ms"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>Iin</ci>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<plus/>
<apply>
<minus/>
<ci>Vp</ci>
<ci>V</ci>
</apply>
<ci>voffset_eff</ci>
</apply>
<ci>rseries</ci>
</apply>
<apply>
<times/>
<ci>cprs</ci>
<ci>dVpdt</ci>
</apply>
</apply>
<apply>
<times/>
<ci>cprs_est</ci>
<ci>dVclampdt</ci>
</apply>
</apply>
<apply>
<times/>
<ci>cm_est</ci>
<piecewise>
<piece>
<ci>dVclampdt</ci>
<apply>
<lt/>
<ci>rseries_est</ci>
<cn cellml:units="dimensionless">1e-06</cn>
</apply>
</piece>
<otherwise>
<ci>dVestdt</ci>
</otherwise>
</piecewise>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Iout</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>Iin</ci>
<ci>Iout</ci>
</apply>
<ci>voltageclamp_Iout_tau</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Vc</ci>
<ci>pace</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Vclamp</ci>
</apply>
<ci>dVclampdt</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Vest</ci>
</apply>
<ci>dVestdt</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Vp</ci>
</apply>
<ci>dVpdt</ci>
</apply>
<apply>
<eq/>
<ci>cm_est</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">0.9</cn>
<cn cellml:units="pF">100.0</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>cprs_est</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">4.0</cn>
<cn cellml:units="pF">0.9</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>dVclampdt</ci>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>Vc</ci>
<apply>
<times/>
<apply>
<plus/>
<ci>Iout</ci>
<apply>
<times/>
<ci>cm_est</ci>
<ci>dVestdt</ci>
</apply>
</apply>
<ci>rseries_est</ci>
</apply>
</apply>
<ci>Vclamp</ci>
</apply>
<ci>tau_sum</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>dVestdt</ci>
<piecewise>
<piece>
<cn cellml:units="dimensionless">0.0</cn>
<apply>
<lt/>
<ci>cm_est</ci>
<cn cellml:units="dimensionless">1e-06</cn>
</apply>
</piece>
<piece>
<cn cellml:units="dimensionless">0.0</cn>
<apply>
<lt/>
<ci>rseries_est</ci>
<cn cellml:units="dimensionless">1e-06</cn>
</apply>
</piece>
<otherwise>
<apply>
<divide/>
<apply>
<minus/>
<ci>Vc</ci>
<ci>Vest</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1.0</cn>
<ci>alpha</ci>
</apply>
<ci>cm_est</ci>
</apply>
<ci>rseries_est</ci>
</apply>
<ci>alpha</ci>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>dVpdt</ci>
<apply>
<divide/>
<apply>
<minus/>
<ci>Vclamp</ci>
<ci>Vp</ci>
</apply>
<ci>tau_clamp</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>rseries</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">10.0</cn>
<cn cellml:units="Ohm_times_1e12">0.001</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>rseries_est</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">0.9</cn>
<cn cellml:units="Ohm_times_1e12">0.01</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_clamp</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">0.8</cn>
<cn cellml:units="dimensionless">0.001</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>voltageclamp_Iout_tau</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">7.5</cn>
<cn cellml:units="dimensionless">0.001</cn>
</apply>
</apply>
</math>
</component>
<connection>
<map_components component_1="engine" component_2="mc"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="engine" component_2="membrane"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="engine" component_2="voltageclamp"/>
<map_variables variable_1="pace" variable_2="pace"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="mc" component_2="membrane"/>
<map_variables variable_1="I" variable_2="I"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="dVdt" variable_2="dVdt"/>
</connection>
<connection>
<map_components component_1="mc" component_2="voltageclamp"/>
<map_variables variable_1="cprs" variable_2="cprs"/>
<map_variables variable_1="rseries" variable_2="rseries"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="voltageclamp"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="Vp" variable_2="Vp"/>
<map_variables variable_1="rseries" variable_2="rseries"/>
<map_variables variable_1="voffset_eff" variable_2="voffset_eff"/>
</connection>
</model>