Location: Na+/Glucose Transporter @ a3e409260980 / SGLT1.cellml
- Author:
- Soroush Safaei <ssaf006@aucklanduni.ac.nz>
- Date:
- 2018-07-29 23:30:09+12:00
- Desc:
- modular
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/436/rawfile/a3e40926098096b3269538f412265b538889ec5e/SGLT1.cellml
<?xml version='1.0'?>
<model name="SGLT1" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#">
<component name="SGLT1">
<variable name="epsilon" public_interface="out" units="per_s"/>
<variable name="lambda" public_interface="out" units="per_M3_s5"/>
<variable name="chi" public_interface="out" units="M"/>
<variable name="alpha" public_interface="out" units="M3"/>
<variable name="beta" public_interface="out" units="M2"/>
<variable name="gamma" public_interface="out" units="M3_per_s"/>
<variable name="phi" public_interface="out" units="M_per_s"/>
<variable name="k_12" public_interface="in" units="per_s"/>
<variable name="k_21" public_interface="in" units="per_s"/>
<variable name="k_32" public_interface="in" units="per_s"/>
<variable name="k_34" public_interface="in" units="per_s"/>
<variable name="k_43" public_interface="in" units="per_s"/>
<variable name="k_45" public_interface="in" units="per_s"/>
<variable name="k_54" public_interface="in" units="per_s"/>
<variable name="k_25" public_interface="in" units="per_s"/>
<variable name="k_52" public_interface="in" units="per_s"/>
<variable name="k_56" public_interface="in" units="per_s"/>
<variable name="k_65" public_interface="in" units="per_s"/>
<variable name="k_61" public_interface="in" units="per_s"/>
<variable name="k_16" public_interface="in" units="per_s"/>
<variable name="ks_12" public_interface="in" units="per_M2_s"/>
<variable name="k0_23" public_interface="in" units="per_M_s"/>
<variable name="F" public_interface="in" units="C_per_mol"/>
<variable name="q_Na_a" public_interface="in" units="M"/>
<variable name="q_Gl_a" public_interface="in" units="M"/>
<variable initial_value="180000000" name="n_SGLT" public_interface="out" units="dimensionless"/>
<variable name="J_Na_SGLT" public_interface="out" units="umol_per_s"/>
<variable name="I_Na_SGLT" public_interface="out" units="uA"/>
<variable name="J_Gl_SGLT" public_interface="out" units="umol_per_s"/>
<variable name="J_GL_SGLT1" public_interface="out" units="umol_per_s"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>lambda</ci>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k0_23</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>k_43</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_34</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_43</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_34</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_45</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_43</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_34</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_43</ci>
<ci>k_54</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_34</ci>
<ci>k_54</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_43</ci>
<ci>k_52</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_34</ci>
<ci>k_52</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_56</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>chi</ci>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>lambda</ci>
</apply>
<ci>ks_12</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_25</ci>
<ci>k_43</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_25</ci>
<ci>k_34</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_25</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_54</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_25</ci>
<ci>k_43</ci>
<ci>k_54</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_25</ci>
<ci>k_34</ci>
<ci>k_54</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_54</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_52</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_25</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_25</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_56</ci>
</apply>
<apply>
<times/>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_56</ci>
</apply>
<apply>
<times/>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_56</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta</ci>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>lambda</ci>
</apply>
<ci>k0_23</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_43</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_34</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_43</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_34</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_56</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha</ci>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>lambda</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_25</ci>
<ci>k_43</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_43</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_25</ci>
<ci>k_34</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_34</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_21</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_25</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_25</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_21</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_54</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_21</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_52</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_25</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_56</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_56</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_56</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_56</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_56</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_56</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_54</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_52</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_52</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_52</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>gamma</ci>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>lambda</ci>
</apply>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_65</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_54</ci>
</apply>
<apply>
<times/>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_52</ci>
</apply>
<apply>
<times/>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_52</ci>
</apply>
<apply>
<times/>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_52</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>phi</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>lambda</ci>
</apply>
<ci>ks_12</ci>
<ci>k_56</ci>
<ci>k_61</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>k_25</ci>
<ci>k_34</ci>
<ci>k_45</ci>
</apply>
<apply>
<times/>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_45</ci>
</apply>
<apply>
<times/>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_43</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>epsilon</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>lambda</ci>
</apply>
<ci>ks_12</ci>
<ci>k0_23</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>J_Na_SGLT</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>n_SGLT</ci>
</apply>
<cn cellml:units="per_umol" type="e-notation">6.023<sep/>17</cn>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>epsilon</ci>
<apply>
<power/>
<ci>q_Na_a</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>q_Gl_a</ci>
</apply>
<apply>
<times/>
<ci>phi</ci>
<apply>
<power/>
<ci>q_Na_a</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<ci>gamma</ci>
</apply>
</apply>
<apply>
<plus/>
<ci>alpha</ci>
<apply>
<times/>
<ci>beta</ci>
<ci>q_Gl_a</ci>
</apply>
<apply>
<times/>
<ci>chi</ci>
<apply>
<power/>
<ci>q_Na_a</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<times/>
<apply>
<power/>
<ci>q_Na_a</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>q_Gl_a</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>I_Na_SGLT</ci>
<apply>
<times/>
<ci>J_Na_SGLT</ci>
<ci>F</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>J_Gl_SGLT</ci>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>J_Na_SGLT</ci>
</apply>
</apply>
<!--to change the unit to picomol/hour-->
<apply>
<eq/>
<ci>J_GL_SGLT1</ci>
<apply>
<times/>
<ci>J_Gl_SGLT</ci>
<cn cellml:units="dimensionless" type="e-notation">36<sep/>+8</cn>
</apply>
</apply>
</math>
</component>
</model>