- Author:
- Nima <nafs080@aucklanduni.ac.nz>
- Date:
- 2019-07-21 09:46:02+12:00
- Desc:
- Modular version of glucose uptake model (contains water transporters and cell volume changes)
- Permanent Source URI:
- https://models.cellml.org/workspace/58c/rawfile/2ad89252015aa87ebc327c2d547bd99bc7629853/SGLT1_Rate_Constants.cellml
<?xml version='1.0'?>
<!--Link in Exposure : https://models.physiomeproject.org/exposure/4f0e5558031705df771326fb9bd90c28
Original Paper: Xing-Zhen Chen, Michael J Coady, Francis Jackson, Alfred Berteloot, and Jean-Yves Lapointe. Thermodynamic determination of the Na+: glucose coupling ratio for the human sglt1 cotransporter. -->
<model name="SGLT1_Rate_Constants" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#">
<component name="SGLT1_rate_constants">
<variable name="Na_i" public_interface="in" units="M"/>
<variable name="Na_m" public_interface="in" units="M"/>
<variable name="glucose_i" public_interface="in" units="M"/>
<variable name="glucose_m" public_interface="in" units="M"/>
<!--var k_12: per_second {pub: out};-->
<variable name="ks_12" public_interface="out" units="per_M2_per_second"/>
<variable name="k_21" public_interface="out" units="per_second"/>
<!--var k_23: per_second {pub: out};-->
<variable name="k_32" public_interface="out" units="per_second"/>
<variable name="k_25" public_interface="out" units="per_second"/>
<variable name="k_52" public_interface="out" units="per_second"/>
<variable name="k_34" public_interface="out" units="per_second"/>
<variable name="k_43" public_interface="out" units="per_second"/>
<variable name="k_45" public_interface="out" units="per_second"/>
<variable name="k_54" public_interface="out" units="per_second"/>
<variable name="k_56" public_interface="out" units="per_second"/>
<variable name="k_65" public_interface="out" units="per_second"/>
<variable name="k_61" public_interface="out" units="per_second"/>
<variable name="k_16" public_interface="out" units="per_second"/>
<variable name="k0_12" public_interface="in" units="per_M2_per_second"/>
<variable name="k0_21" public_interface="in" units="per_second"/>
<!--var k0_23: per_M_per_second {pub: in};-->
<variable name="k0_32" public_interface="in" units="per_second"/>
<variable name="k0_25" public_interface="in" units="per_second"/>
<variable name="k0_52" public_interface="in" units="per_second"/>
<variable name="k0_34" public_interface="in" units="per_second"/>
<variable name="k0_43" public_interface="in" units="per_second"/>
<variable name="k0_45" public_interface="in" units="per_second"/>
<variable name="k0_54" public_interface="in" units="per_M_per_second"/>
<!--var k0_25: per_second {pub: in};
var k0_52: per_second {pub: in};-->
<variable name="k0_56" public_interface="in" units="per_second"/>
<variable name="k0_65" public_interface="in" units="per_M2_per_second"/>
<variable name="k0_61" public_interface="in" units="per_second"/>
<variable name="k0_16" public_interface="in" units="per_second"/>
<!--var k0_54_temp: per_M_per_second {pub: out};-->
<!--var k_52_temp: per_second {pub: out};-->
<variable name="delta" public_interface="in" units="dimensionless"/>
<variable name="n" public_interface="in" units="dimensionless"/>
<variable name="z_c" public_interface="in" units="dimensionless"/>
<variable name="z_Na" public_interface="in" units="dimensionless"/>
<variable name="alpha_p" public_interface="in" units="dimensionless"/>
<!--var alpha_pp: dimensionless {pub: in};-->
<!--var C_T: umol {pub: in};-->
<variable name="mu" public_interface="in" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>ks_12</ci>
<apply>
<times/>
<ci>k0_12</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<ci>n</ci>
</apply>
<ci>alpha_p</ci>
<ci>mu</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<!-- k_12 = ks_12*pow(Na_m, n);-->
<!--k_12 = k0_12*exp(-alpha_p*mu)*sqr(Na_m);-->
<apply>
<eq/>
<ci>k_21</ci>
<apply>
<times/>
<ci>k0_21</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>n</ci>
<ci>z_Na</ci>
<ci>alpha_p</ci>
<ci>mu</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<!--k_23 = k0_23*glucose_m;-->
<apply>
<eq/>
<ci>k_32</ci>
<ci>k0_32</ci>
</apply>
<apply>
<eq/>
<ci>k_34</ci>
<ci>k0_34</ci>
</apply>
<apply>
<eq/>
<ci>k_43</ci>
<ci>k0_43</ci>
</apply>
<apply>
<eq/>
<ci>k_45</ci>
<ci>k0_45</ci>
</apply>
<apply>
<eq/>
<ci>k_54</ci>
<apply>
<times/>
<ci>k0_54</ci>
<ci>glucose_i</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>k_25</ci>
<ci>k0_25</ci>
</apply>
<!--k_52_temp = k0_52*exp((z_c+n)*delta*mu/2{dimensionless});-->
<apply>
<eq/>
<ci>k_56</ci>
<ci>k0_56</ci>
</apply>
<apply>
<eq/>
<ci>k_65</ci>
<apply>
<times/>
<ci>k0_65</ci>
<apply>
<power/>
<ci>Na_i</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>k_61</ci>
<apply>
<times/>
<ci>k0_61</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>z_c</ci>
<ci>delta</ci>
<ci>mu</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>k_16</ci>
<apply>
<times/>
<ci>k0_16</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<ci>z_c</ci>
</apply>
<ci>delta</ci>
<ci>mu</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>k_52</ci>
<ci>k0_52</ci>
</apply>
</math>
</component>
</model>
