- Author:
- Glucose Uptake <nafs080@aucklanduni.ac.nz>
- Date:
- 2018-03-29 11:47:30+13:00
- Desc:
- Modular Version of Glucose Uptake in CellML
- Permanent Source URI:
- https://models.fieldml.org/workspace/572/rawfile/fad507f47193ac8be8dee23ffa9448938603f792/NaK_flux.cellml
<?xml version='1.0'?>
<!-- Data from: Thorsen, K., Drengstig, T., & Ruoff, P. (2014). Transepithelial glucose transport and Na+/K+ homeostasis in enterocytes: an integrative model. American Journal of Physiology-Cell Physiology, 307(4), C320-C337.
Original Paper: Thorsen, K., Drengstig, T., & Ruoff, P. (2014). Transepithelial glucose transport and Na+/K+ homeostasis in enterocytes: an integrative model. American Journal of Physiology-Cell Physiology, 307(4), C320-C337.-->
<model name="NaK_flux" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#">
<component name="NaK_channel">
<!--var time: second {pub: in};-->
<variable name="v_sc" public_interface="in" units="volt"/>
<variable name="F" public_interface="in" units="C_per_mol"/>
<variable name="K_s" public_interface="in" units="M"/>
<variable name="Na_i" public_interface="in" units="M"/>
<variable name="TO_NaK" public_interface="out" units="per_second"/>
<variable initial_value="5e6" name="n_NaK" public_interface="out" units="dimensionless"/>
<variable initial_value="10e-3" name="K_Na_i_half" public_interface="out" units="M"/>
<variable initial_value="1.5e-3" name="K_K_s_half" public_interface="out" units="M"/>
<variable name="I_Na_NaK" public_interface="out" units="uA"/>
<variable name="I_K_NaK" public_interface="out" units="uA"/>
<variable name="J_NaK" public_interface="out" units="umol_per_s"/>
<variable name="J_Na_NaK" public_interface="out" units="umol_per_s"/>
<variable name="J_K_NaK" public_interface="out" units="umol_per_s"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>I_K_NaK</ci>
<apply>
<times/>
<ci>J_K_NaK</ci>
<ci>F</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>I_Na_NaK</ci>
<apply>
<times/>
<ci>J_Na_NaK</ci>
<ci>F</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>J_NaK</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>TO_NaK</ci>
<ci>n_NaK</ci>
</apply>
<cn cellml:units="per_umol" type="e-notation">6.023<sep/>17</cn>
</apply>
<apply>
<power/>
<ci>Na_i</ci>
<cn cellml:units="dimensionless">1.36</cn>
</apply>
<cn cellml:units="dimensionless">1.13</cn>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci>K_Na_i_half</ci>
<cn cellml:units="dimensionless">1.36</cn>
</apply>
<apply>
<power/>
<ci>Na_i</ci>
<cn cellml:units="dimensionless">1.36</cn>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1.3</cn>
<ci>K_s</ci>
</apply>
<apply>
<plus/>
<ci>K_K_s_half</ci>
<ci>K_s</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>TO_NaK</ci>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<times/>
<cn cellml:units="per_volt4_per_second" type="e-notation">5.46<sep/>+4</cn>
<apply>
<power/>
<ci>v_sc</ci>
<cn cellml:units="dimensionless">4</cn>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="per_volt3_per_second" type="e-notation">2.43<sep/>+2</cn>
<apply>
<power/>
<ci>v_sc</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="per_volt2_per_second" type="e-notation">2<sep/>+3</cn>
<apply>
<power/>
<ci>v_sc</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="per_volt_per_second">160</cn>
<ci>v_sc</ci>
</apply>
<cn cellml:units="per_second">51</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>J_Na_NaK</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">3</cn>
<ci>J_NaK</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>J_K_NaK</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>J_NaK</ci>
</apply>
</apply>
</math>
</component>
</model>
