Location: Eskandari, Wright, Loo 2005 @ 08f150c39035 / decomposed-model / phenomonological_constants_model.xml
- Author:
- David Nickerson <nickerso@users.sourceforge.net>
- Date:
- 2010-04-21 15:32:45+12:00
- Desc:
- adding a decomposed version of the model created using the decompose utility
- Permanent Source URI:
- https://models.fieldml.org/workspace/eskandari_wright_loo_2005/rawfile/08f150c39035cbe96e09f69c0fc38cc9f42c0099/decomposed-model/phenomonological_constants_model.xml
<?xml version="1.0"?>
<model xmlns="http://www.cellml.org/cellml/1.1#" name="phenomonological_constants_model">
<component name="phenomonological_constants">
<variable name="epsilon" private_interface="out" public_interface="out" units="per_second"/>
<variable name="lambda" private_interface="out" public_interface="out" units="per_M3_per_second5"/>
<variable name="chi" private_interface="out" public_interface="out" units="M"/>
<variable name="alpha" private_interface="out" public_interface="out" units="M3"/>
<variable name="beta" private_interface="out" public_interface="out" units="M2"/>
<variable name="gamma" private_interface="out" public_interface="out" units="M3_per_second"/>
<variable name="phi" private_interface="out" public_interface="out" units="M_per_second"/>
<variable name="k_12" private_interface="out" public_interface="in" units="per_second"/>
<variable name="k_21" private_interface="out" public_interface="in" units="per_second"/>
<variable name="k_23" private_interface="out" public_interface="in" units="per_second"/>
<variable name="k_32" private_interface="out" public_interface="in" units="per_second"/>
<variable name="k_34" private_interface="out" public_interface="in" units="per_second"/>
<variable name="k_43" private_interface="out" public_interface="in" units="per_second"/>
<variable name="k_45" private_interface="out" public_interface="in" units="per_second"/>
<variable name="k_54" private_interface="out" public_interface="in" units="per_second"/>
<variable name="k_25" private_interface="out" public_interface="in" units="per_second"/>
<variable name="k_52" private_interface="out" public_interface="in" units="per_second"/>
<variable name="k_56" private_interface="out" public_interface="in" units="per_second"/>
<variable name="k_65" private_interface="out" public_interface="in" units="per_second"/>
<variable name="k_61" private_interface="out" public_interface="in" units="per_second"/>
<variable name="k_16" private_interface="out" public_interface="in" units="per_second"/>
<variable name="ks_12" private_interface="out" public_interface="in" units="per_M2_per_second"/>
<variable name="k0_23" private_interface="out" public_interface="in" units="per_M_per_second"/>
<variable name="C_T" private_interface="out" public_interface="in" units="umol"/>
<variable name="F" private_interface="out" public_interface="in" units="C_per_mol"/>
<variable name="Na_o" private_interface="out" public_interface="in" units="M"/>
<variable name="glucose_o" private_interface="out" public_interface="in" units="M"/>
<variable name="Imax_Na" private_interface="out" public_interface="out" units="uA"/>
<variable name="Imax_gluc" private_interface="out" public_interface="out" units="uA"/>
<variable name="Khalf_Na_sq" private_interface="out" public_interface="out" units="M2"/>
<variable name="Khalf_Na" private_interface="out" public_interface="out" units="M"/>
<variable name="Khalf_gluc" private_interface="out" public_interface="out" units="M"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>lambda</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k0_23</ci>
<ci>k_43</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k0_23</ci>
<ci>k_34</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k0_23</ci>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k0_23</ci>
<ci>k_43</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k0_23</ci>
<ci>k_34</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k0_23</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k0_23</ci>
<ci>k_45</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k0_23</ci>
<ci>k_43</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k0_23</ci>
<ci>k_34</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k0_23</ci>
<ci>k_43</ci>
<ci>k_54</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k0_23</ci>
<ci>k_34</ci>
<ci>k_54</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k0_23</ci>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k0_23</ci>
<ci>k_43</ci>
<ci>k_52</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k0_23</ci>
<ci>k_34</ci>
<ci>k_52</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k0_23</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k0_23</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_56</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>chi</ci>
<apply>
<times/>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">1</cn>
<ci>lambda</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k_25</ci>
<ci>k_43</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k_25</ci>
<ci>k_34</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k_32</ci>
<ci>k_45</ci>
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<ci>k_32</ci>
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<ci>k_34</ci>
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<apply>
<times/>
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<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
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<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
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<ci>k_45</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
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<ci>ks_12</ci>
<ci>k_32</ci>
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<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_54</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k_25</ci>
<ci>k_43</ci>
<ci>k_54</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
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<ci>k_25</ci>
<ci>k_34</ci>
<ci>k_54</ci>
<ci>k_61</ci>
</apply>
<apply>
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<ci>k_54</ci>
<ci>k_61</ci>
</apply>
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<ci>k_52</ci>
<ci>k_61</ci>
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<ci>k_52</ci>
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</apply>
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<ci>k_61</ci>
</apply>
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<ci>k_25</ci>
<ci>k_32</ci>
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</apply>
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<ci>k_43</ci>
<ci>k_61</ci>
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<apply>
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<ci>k_32</ci>
<ci>k_43</ci>
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</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta</ci>
<apply>
<times/>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">1</cn>
<ci>lambda</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>k0_23</ci>
<ci>k_16</ci>
<ci>k_43</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
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<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_21</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>phi</ci>
<apply>
<times/>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">1</cn>
<ci>lambda</ci>
</apply>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<times/>
<apply>
<minus/>
<ci>ks_12</ci>
</apply>
<ci>k_25</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>epsilon</ci>
<apply>
<times/>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">1</cn>
<ci>lambda</ci>
</apply>
<apply>
<minus/>
<ci>ks_12</ci>
</apply>
<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>Imax_gluc</ci>
<apply>
<divide/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">2</cn>
<ci>F</ci>
<ci>C_T</ci>
<ci>epsilon</ci>
<apply>
<power/>
<ci>Na_o</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<plus/>
<ci>beta</ci>
<apply>
<power/>
<ci>Na_o</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Imax_Na</ci>
<apply>
<divide/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">2</cn>
<ci>F</ci>
<ci>C_T</ci>
<apply>
<plus/>
<ci>phi</ci>
<apply>
<times/>
<ci>epsilon</ci>
<ci>glucose_o</ci>
</apply>
</apply>
</apply>
<apply>
<plus/>
<ci>chi</ci>
<ci>glucose_o</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Khalf_gluc</ci>
<apply>
<divide/>
<apply>
<plus/>
<ci>alpha</ci>
<apply>
<times/>
<ci>chi</ci>
<apply>
<power/>
<ci>Na_o</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<apply>
<plus/>
<ci>beta</ci>
<apply>
<power/>
<ci>Na_o</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Khalf_Na_sq</ci>
<apply>
<divide/>
<apply>
<plus/>
<ci>alpha</ci>
<apply>
<times/>
<ci>beta</ci>
<ci>glucose_o</ci>
</apply>
</apply>
<apply>
<plus/>
<ci>chi</ci>
<ci>glucose_o</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Khalf_Na</ci>
<apply>
<root/>
<ci>Khalf_Na_sq</ci>
</apply>
</apply>
</math>
</component>
<import xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="eskandari_2005_units_model.xml">
<units name="per_second" units_ref="per_second"/>
<units name="per_second5" units_ref="per_second5"/>
<units name="volt_per_second" units_ref="volt_per_second"/>
<units name="per_mol" units_ref="per_mol"/>
<units name="umol" units_ref="umol"/>
<units name="M" units_ref="M"/>
<units name="um2" units_ref="um2"/>
<units name="mol_per_um2" units_ref="mol_per_um2"/>
<units name="mM" units_ref="mM"/>
<units name="mV" units_ref="mV"/>
<units name="J_per_K_per_mol" units_ref="J_per_K_per_mol"/>
<units name="pA_per_cm2" units_ref="pA_per_cm2"/>
<units name="uA" units_ref="uA"/>
<units name="uA_per_um2" units_ref="uA_per_um2"/>
<units name="uA_per_A" units_ref="uA_per_A"/>
<units name="umol_per_mol" units_ref="umol_per_mol"/>
<units name="C_per_mol" units_ref="C_per_mol"/>
<units name="per_M_per_second" units_ref="per_M_per_second"/>
<units name="per_M2_per_second" units_ref="per_M2_per_second"/>
<units name="M2" units_ref="M2"/>
<units name="M3" units_ref="M3"/>
<units name="M3_per_second" units_ref="M3_per_second"/>
<units name="per_M3_per_second5" units_ref="per_M3_per_second5"/>
<units name="M_per_second" units_ref="M_per_second"/>
</import>
</model>