- Author:
- Dewan Sarwar <sarwarcse@gmail.com>
- Date:
- 2019-03-11 12:09:49+13:00
- Desc:
- added blood capillary flux model
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/584/rawfile/dcab0d9157ad4fb602c5084666c323fb3e30323a/Nima/chang_fujita_b_1999.cellml
<?xml version='1.0'?>
<model cmeta:id="chang_1999" name="chang_1999" 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#">
<units name="millivolt">
<unit prefix="milli" units="volt"/>
</units>
<units name="cm_per_s">
<unit prefix="centi" units="metre"/>
<unit exponent="-1" units="second"/>
</units>
<units name="mmol_per_cm3">
<unit prefix="milli" units="mole"/>
<unit exponent="-3" prefix="centi" units="metre"/>
</units>
<units name="flux">
<unit prefix="milli" units="mole"/>
<unit exponent="-3" prefix="centi" units="metre"/>
<unit exponent="-1" units="second"/>
</units>
<units name="C_per_mmol">
<unit units="coulomb"/>
<unit exponent="-1" prefix="milli" units="mole"/>
</units>
<units name="J_per_mmol">
<unit units="joule"/>
<unit exponent="-1" prefix="milli" units="mole"/>
<unit exponent="-1" units="kelvin"/>
</units>
<units base_units="yes" name="mmHg"/>
<units name="cm_per_s_mmHg">
<unit prefix="centi" units="metre"/>
<unit exponent="-1" units="second"/>
<unit exponent="-1" units="mmHg"/>
</units>
<component name="environment">
<variable name="time" public_interface="out" units="second"/>
</component>
<component name="imported_variables">
<variable initial_value="0.1033" name="C_m_Imp" private_interface="out" units="mmol_per_cm3"/>
<variable initial_value="0.1124" name="C_c_Imp" private_interface="out" units="mmol_per_cm3"/>
<variable initial_value="-28.0" name="psi_m" private_interface="out" public_interface="out" units="millivolt"/>
<variable initial_value="-86.4" name="psi_c" private_interface="out" public_interface="out" units="millivolt"/>
</component>
<component name="solute_concentrations">
<variable initial_value="0.05" name="C_m_Na" public_interface="out" units="mmol_per_cm3"/>
<variable initial_value="0.002" name="C_m_K" public_interface="out" units="mmol_per_cm3"/>
<variable initial_value="0.03" name="C_m_Cl" public_interface="out" units="mmol_per_cm3"/>
<variable initial_value="0.0164" name="C_c_Na" public_interface="out" units="mmol_per_cm3"/>
<variable initial_value="0.1637" name="C_c_K" public_interface="out" units="mmol_per_cm3"/>
<variable initial_value="0.0203" name="C_c_Cl" public_interface="out" units="mmol_per_cm3"/>
<variable initial_value="1.438E-1" name="C_s_Na" public_interface="out" units="mmol_per_cm3"/>
<variable initial_value="4.25E-3" name="C_s_K" public_interface="out" units="mmol_per_cm3"/>
<variable initial_value="1.12E-1" name="C_s_Cl" public_interface="out" units="mmol_per_cm3"/>
<variable name="J_mc_Na" public_interface="in" units="flux"/>
<variable name="J_ms_Na" public_interface="in" units="flux"/>
<variable name="J_sc_Na" public_interface="in" units="flux"/>
<variable name="J_mc_K" public_interface="in" units="flux"/>
<variable name="J_ms_K" public_interface="in" units="flux"/>
<variable name="J_sc_K" public_interface="in" units="flux"/>
<variable name="J_mc_Cl" public_interface="in" units="flux"/>
<variable name="J_ms_Cl" public_interface="in" units="flux"/>
<variable name="J_sc_Cl" public_interface="in" units="flux"/>
<variable name="time" public_interface="in" units="second"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="C_m_Na_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>C_m_Na</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<ci>J_mc_Na</ci>
<ci>J_ms_Na</ci>
</apply>
</apply>
</apply>
<apply id="C_s_Na_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>C_s_Na</ci>
</apply>
<apply>
<minus/>
<ci>J_ms_Na</ci>
<ci>J_sc_Na</ci>
</apply>
</apply>
<apply id="C_c_Na_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>C_c_Na</ci>
</apply>
<apply>
<plus/>
<ci>J_mc_Na</ci>
<ci>J_sc_Na</ci>
</apply>
</apply>
<apply id="C_m_K_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>C_m_K</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<ci>J_mc_K</ci>
<ci>J_ms_K</ci>
</apply>
</apply>
</apply>
<apply id="C_s_K_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>C_s_K</ci>
</apply>
<apply>
<minus/>
<ci>J_ms_K</ci>
<ci>J_sc_K</ci>
</apply>
</apply>
<apply id="C_c_K_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>C_c_K</ci>
</apply>
<apply>
<plus/>
<ci>J_mc_K</ci>
<ci>J_sc_K</ci>
</apply>
</apply>
<apply id="C_m_Cl_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>C_m_Cl</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<ci>J_mc_Cl</ci>
<ci>J_ms_Cl</ci>
</apply>
</apply>
</apply>
<apply id="C_s_Cl_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>C_s_Cl</ci>
</apply>
<apply>
<minus/>
<ci>J_ms_Cl</ci>
<ci>J_sc_Cl</ci>
</apply>
</apply>
<apply id="C_c_Cl_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>C_c_Cl</ci>
</apply>
<apply>
<plus/>
<ci>J_mc_Cl</ci>
<ci>J_sc_Cl</ci>
</apply>
</apply>
</math>
</component>
<component name="constants">
<variable initial_value="2.579" name="RT" public_interface="out" units="J_per_mmol"/>
<variable initial_value="96.48" name="F" public_interface="out" units="C_per_mmol"/>
<variable initial_value="4.525E-2" name="C_s_Imp" public_interface="out" units="mmol_per_cm3"/>
<variable initial_value="0.0" name="psi_s" public_interface="out" units="millivolt"/>
</component>
<component name="mc_sodium_flux">
<variable name="J_mc_Na" public_interface="out" units="flux"/>
<variable name="J_mc_NaCl" public_interface="out" units="flux"/>
<variable name="G_mc_Na" units="flux"/>
<variable initial_value="3.27E-6" name="P_mc_Na" units="cm_per_s"/>
<variable initial_value="3.21E-5" name="J_mc_NaCl_max" units="flux"/>
<variable initial_value="5.11E-2" name="K_mc_Na_NaCl" units="mmol_per_cm3"/>
<variable initial_value="1.92E-2" name="K_mc_Cl_NaCl" units="mmol_per_cm3"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="RT" public_interface="in" units="J_per_mmol"/>
<variable name="F" public_interface="in" units="C_per_mmol"/>
<variable name="C_m_Na" public_interface="in" units="mmol_per_cm3"/>
<variable name="C_c_Na" public_interface="in" units="mmol_per_cm3"/>
<variable name="C_m_Cl" public_interface="in" units="mmol_per_cm3"/>
<variable name="C_c_Cl" public_interface="in" units="mmol_per_cm3"/>
<variable name="psi_m" public_interface="in" units="millivolt"/>
<variable name="psi_c" public_interface="in" units="millivolt"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="J_mc_Na_calculation">
<eq/>
<ci>J_mc_Na</ci>
<apply>
<plus/>
<ci>J_mc_NaCl</ci>
<ci>G_mc_Na</ci>
</apply>
</apply>
<apply id="G_mc_Na_calculation">
<eq/>
<ci>G_mc_Na</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>P_mc_Na</ci>
<ci>F</ci>
<apply>
<minus/>
<ci>psi_m</ci>
<ci>psi_c</ci>
</apply>
</apply>
<ci>RT</ci>
</apply>
<apply>
<minus/>
<ci>C_m_Na</ci>
<apply>
<times/>
<ci>C_c_Na</ci>
<apply>
<exp/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<minus/>
<ci>F</ci>
</apply>
<ci>RT</ci>
</apply>
<apply>
<minus/>
<ci>psi_m</ci>
<ci>psi_c</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<minus/>
<ci>F</ci>
</apply>
<ci>RT</ci>
</apply>
<apply>
<minus/>
<ci>psi_m</ci>
<ci>psi_c</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply id="J_mc_NaCl_calculation">
<eq/>
<ci>J_mc_NaCl</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>J_mc_NaCl_max</ci>
<apply>
<minus/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<ci>C_m_Na</ci>
<ci>K_mc_Na_NaCl</ci>
</apply>
<ci>C_m_Cl</ci>
</apply>
<ci>K_mc_Cl_NaCl</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<ci>C_c_Na</ci>
<ci>K_mc_Na_NaCl</ci>
</apply>
<ci>C_c_Cl</ci>
</apply>
<ci>K_mc_Cl_NaCl</ci>
</apply>
</apply>
</apply>
<apply>
<plus/>
<apply>
<times/>
<apply>
<plus/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<ci>C_m_Na</ci>
<ci>K_mc_Na_NaCl</ci>
</apply>
<ci>C_m_Cl</ci>
</apply>
<ci>K_mc_Cl_NaCl</ci>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<divide/>
<ci>C_c_Na</ci>
<ci>K_mc_Na_NaCl</ci>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<divide/>
<ci>C_c_Cl</ci>
<ci>K_mc_Cl_NaCl</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<ci>C_c_Na</ci>
<ci>K_mc_Na_NaCl</ci>
</apply>
<ci>C_c_Cl</ci>
</apply>
<ci>K_mc_Cl_NaCl</ci>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<divide/>
<ci>C_m_Na</ci>
<ci>K_mc_Na_NaCl</ci>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<divide/>
<ci>C_m_Cl</ci>
<ci>K_mc_Cl_NaCl</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="mc_potassium_flux">
<variable name="J_mc_K" public_interface="out" units="flux"/>
<variable name="J_mc_KCl" public_interface="out" units="flux"/>
<variable name="G_mc_K" units="flux"/>
<variable initial_value="6.31E-8" name="J_mc_KCl_max" units="flux"/>
<variable initial_value="5.30E-2" name="K_mc_K_KCl" units="mmol_per_cm3"/>
<variable initial_value="2.13E-2" name="K_mc_Cl_KCl" units="mmol_per_cm3"/>
<variable initial_value="4.90E-7" name="P_mc_K" units="cm_per_s"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="RT" public_interface="in" units="J_per_mmol"/>
<variable name="F" public_interface="in" units="C_per_mmol"/>
<variable name="C_m_K" public_interface="in" units="mmol_per_cm3"/>
<variable name="C_c_K" public_interface="in" units="mmol_per_cm3"/>
<variable name="C_m_Cl" public_interface="in" units="mmol_per_cm3"/>
<variable name="C_c_Cl" public_interface="in" units="mmol_per_cm3"/>
<variable name="psi_m" public_interface="in" units="millivolt"/>
<variable name="psi_c" public_interface="in" units="millivolt"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="J_mc_K_calculation">
<eq/>
<ci>J_mc_K</ci>
<apply>
<plus/>
<ci>J_mc_KCl</ci>
<ci>G_mc_K</ci>
</apply>
</apply>
<apply id="G_mc_K_calculation">
<eq/>
<ci>G_mc_K</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>P_mc_K</ci>
<ci>F</ci>
<apply>
<minus/>
<ci>psi_m</ci>
<ci>psi_c</ci>
</apply>
</apply>
<ci>RT</ci>
</apply>
<apply>
<minus/>
<ci>C_m_K</ci>
<apply>
<times/>
<ci>C_c_K</ci>
<apply>
<exp/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<minus/>
<ci>F</ci>
</apply>
<ci>RT</ci>
</apply>
<apply>
<minus/>
<ci>psi_m</ci>
<ci>psi_c</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<minus/>
<ci>F</ci>
</apply>
<ci>RT</ci>
</apply>
<apply>
<minus/>
<ci>psi_m</ci>
<ci>psi_c</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply id="J_mc_KCl_calculation">
<eq/>
<ci>J_mc_KCl</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>J_mc_KCl_max</ci>
<apply>
<minus/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<ci>C_m_K</ci>
<ci>K_mc_K_KCl</ci>
</apply>
<ci>C_m_Cl</ci>
</apply>
<ci>K_mc_Cl_KCl</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<ci>C_c_K</ci>
<ci>K_mc_K_KCl</ci>
</apply>
<ci>C_c_Cl</ci>
</apply>
<ci>K_mc_Cl_KCl</ci>
</apply>
</apply>
</apply>
<apply>
<plus/>
<apply>
<times/>
<apply>
<plus/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<ci>C_m_K</ci>
<ci>K_mc_K_KCl</ci>
</apply>
<ci>C_m_Cl</ci>
</apply>
<ci>K_mc_Cl_KCl</ci>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<divide/>
<ci>C_c_K</ci>
<ci>K_mc_K_KCl</ci>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<divide/>
<ci>C_c_Cl</ci>
<ci>K_mc_Cl_KCl</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<ci>C_c_K</ci>
<ci>K_mc_K_KCl</ci>
</apply>
<ci>C_c_Cl</ci>
</apply>
<ci>K_mc_Cl_KCl</ci>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<divide/>
<ci>C_m_K</ci>
<ci>K_mc_K_KCl</ci>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<divide/>
<ci>C_m_Cl</ci>
<ci>K_mc_Cl_KCl</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="mc_chloride_flux">
<variable name="J_mc_Cl" public_interface="out" units="flux"/>
<variable name="G_mc_Cl" units="flux"/>
<variable initial_value="1.43E-6" name="P_mc_Cl" units="cm_per_s"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="J_mc_NaCl" public_interface="in" units="flux"/>
<variable name="J_mc_KCl" public_interface="in" units="flux"/>
<variable name="RT" public_interface="in" units="J_per_mmol"/>
<variable name="F" public_interface="in" units="C_per_mmol"/>
<variable name="C_m_Cl" public_interface="in" units="mmol_per_cm3"/>
<variable name="C_c_Cl" public_interface="in" units="mmol_per_cm3"/>
<variable name="psi_m" public_interface="in" units="millivolt"/>
<variable name="psi_c" public_interface="in" units="millivolt"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="J_mc_Cl_calculation">
<eq/>
<ci>J_mc_Cl</ci>
<apply>
<plus/>
<ci>J_mc_NaCl</ci>
<ci>J_mc_KCl</ci>
<ci>G_mc_Cl</ci>
</apply>
</apply>
<apply id="G_mc_Cl_calculation">
<eq/>
<ci>G_mc_Cl</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>P_mc_Cl</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1.0</cn>
</apply>
<ci>F</ci>
<apply>
<minus/>
<ci>psi_m</ci>
<ci>psi_c</ci>
</apply>
</apply>
<ci>RT</ci>
</apply>
<apply>
<minus/>
<ci>C_m_Cl</ci>
<apply>
<times/>
<ci>C_c_Cl</ci>
<apply>
<exp/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1.0</cn>
</apply>
</apply>
<ci>F</ci>
</apply>
<ci>RT</ci>
</apply>
<apply>
<minus/>
<ci>psi_m</ci>
<ci>psi_c</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1.0</cn>
</apply>
</apply>
<ci>F</ci>
</apply>
<ci>RT</ci>
</apply>
<apply>
<minus/>
<ci>psi_m</ci>
<ci>psi_c</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="sc_sodium_flux">
<variable name="J_a" public_interface="out" units="flux"/>
<variable name="J_sc_Na" public_interface="out" units="flux"/>
<variable initial_value="2.69E-6" name="J_a_max" units="flux"/>
<variable initial_value="1.20E-2" name="K_Na_ATPase" units="mmol_per_cm3"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="C_c_Na" public_interface="in" units="mmol_per_cm3"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="J_sc_Na_calculation">
<eq/>
<ci>J_sc_Na</ci>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">3.0</cn>
</apply>
<ci>J_a</ci>
</apply>
</apply>
<apply id="J_a_calculation">
<eq/>
<ci>J_a</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>J_a_max</ci>
<cn cellml:units="dimensionless">1.0</cn>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<power/>
<apply>
<divide/>
<ci>K_Na_ATPase</ci>
<ci>C_c_Na</ci>
</apply>
<cn cellml:units="dimensionless">3.0</cn>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="sc_potassium_flux">
<variable name="J_sc_K" public_interface="out" units="flux"/>
<variable name="G_sc_K" units="flux"/>
<variable initial_value="4.74E-4" name="P_sc_K" units="cm_per_s"/>
<variable name="J_a" public_interface="in" units="flux"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="RT" public_interface="in" units="J_per_mmol"/>
<variable name="F" public_interface="in" units="C_per_mmol"/>
<variable name="C_s_K" public_interface="in" units="mmol_per_cm3"/>
<variable name="C_c_K" public_interface="in" units="mmol_per_cm3"/>
<variable name="psi_s" public_interface="in" units="millivolt"/>
<variable name="psi_c" public_interface="in" units="millivolt"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="J_sc_K_calculation">
<eq/>
<ci>J_sc_K</ci>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">2.0</cn>
<ci>J_a</ci>
</apply>
<ci>G_sc_K</ci>
</apply>
</apply>
<apply id="G_sc_K_calculation">
<eq/>
<ci>G_sc_K</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>P_sc_K</ci>
<ci>F</ci>
<apply>
<minus/>
<ci>psi_s</ci>
<ci>psi_c</ci>
</apply>
</apply>
<ci>RT</ci>
</apply>
<apply>
<minus/>
<ci>C_s_K</ci>
<apply>
<times/>
<ci>C_c_K</ci>
<apply>
<exp/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<minus/>
<ci>F</ci>
</apply>
<ci>RT</ci>
</apply>
<apply>
<minus/>
<ci>psi_s</ci>
<ci>psi_c</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<minus/>
<ci>F</ci>
</apply>
<ci>RT</ci>
</apply>
<apply>
<minus/>
<ci>psi_s</ci>
<ci>psi_c</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="sc_chloride_flux">
<variable name="J_sc_Cl" public_interface="out" units="flux"/>
<variable name="G_sc_Cl" units="flux"/>
<variable initial_value="9.16E-5" name="P_sc_Cl" units="cm_per_s"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="RT" public_interface="in" units="J_per_mmol"/>
<variable name="F" public_interface="in" units="C_per_mmol"/>
<variable name="C_s_Cl" public_interface="in" units="mmol_per_cm3"/>
<variable name="C_c_Cl" public_interface="in" units="mmol_per_cm3"/>
<variable name="psi_s" public_interface="in" units="millivolt"/>
<variable name="psi_c" public_interface="in" units="millivolt"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="J_sc_Cl_calculation">
<eq/>
<ci>J_sc_Cl</ci>
<ci>G_sc_Cl</ci>
</apply>
<apply id="G_sc_Cl_calculation">
<eq/>
<ci>G_sc_Cl</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>P_sc_Cl</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1.0</cn>
</apply>
<ci>F</ci>
<apply>
<minus/>
<ci>psi_s</ci>
<ci>psi_c</ci>
</apply>
</apply>
<ci>RT</ci>
</apply>
<apply>
<minus/>
<ci>C_s_Cl</ci>
<apply>
<times/>
<ci>C_c_Cl</ci>
<apply>
<exp/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1.0</cn>
</apply>
</apply>
<ci>F</ci>
</apply>
<ci>RT</ci>
</apply>
<apply>
<minus/>
<ci>psi_s</ci>
<ci>psi_c</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1.0</cn>
</apply>
</apply>
<ci>F</ci>
</apply>
<ci>RT</ci>
</apply>
<apply>
<minus/>
<ci>psi_s</ci>
<ci>psi_c</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="ms_sodium_flux">
<variable name="J_ms_Na" public_interface="out" units="flux"/>
<variable name="G_ms_Na" units="flux"/>
<variable initial_value="4.80E-6" name="P_ms_Na" units="cm_per_s"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="RT" public_interface="in" units="J_per_mmol"/>
<variable name="F" public_interface="in" units="C_per_mmol"/>
<variable name="C_m_Na" public_interface="in" units="mmol_per_cm3"/>
<variable name="C_s_Na" public_interface="in" units="mmol_per_cm3"/>
<variable name="psi_m" public_interface="in" units="millivolt"/>
<variable name="psi_s" public_interface="in" units="millivolt"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="J_ms_Na_calculation">
<eq/>
<ci>J_ms_Na</ci>
<ci>G_ms_Na</ci>
</apply>
<apply id="G_ms_Na_calculation">
<eq/>
<ci>G_ms_Na</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>P_ms_Na</ci>
<ci>F</ci>
<apply>
<minus/>
<ci>psi_m</ci>
<ci>psi_s</ci>
</apply>
</apply>
<ci>RT</ci>
</apply>
<apply>
<minus/>
<ci>C_m_Na</ci>
<apply>
<times/>
<ci>C_s_Na</ci>
<apply>
<exp/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<minus/>
<ci>F</ci>
</apply>
<ci>RT</ci>
</apply>
<apply>
<minus/>
<ci>psi_m</ci>
<ci>psi_s</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<minus/>
<ci>F</ci>
</apply>
<ci>RT</ci>
</apply>
<apply>
<minus/>
<ci>psi_m</ci>
<ci>psi_s</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="ms_potassium_flux">
<variable name="J_ms_K" public_interface="out" units="flux"/>
<variable name="G_ms_K" units="flux"/>
<variable initial_value="4.80E-6" name="P_ms_K" units="cm_per_s"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="RT" public_interface="in" units="J_per_mmol"/>
<variable name="F" public_interface="in" units="C_per_mmol"/>
<variable name="C_m_K" public_interface="in" units="mmol_per_cm3"/>
<variable name="C_s_K" public_interface="in" units="mmol_per_cm3"/>
<variable name="psi_m" public_interface="in" units="millivolt"/>
<variable name="psi_s" public_interface="in" units="millivolt"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="J_ms_K_calculation">
<eq/>
<ci>J_ms_K</ci>
<ci>G_ms_K</ci>
</apply>
<apply id="G_ms_K_calculation">
<eq/>
<ci>G_ms_K</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>P_ms_K</ci>
<ci>F</ci>
<apply>
<minus/>
<ci>psi_m</ci>
<ci>psi_s</ci>
</apply>
</apply>
<ci>RT</ci>
</apply>
<apply>
<minus/>
<ci>C_m_K</ci>
<apply>
<times/>
<ci>C_s_K</ci>
<apply>
<exp/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<minus/>
<ci>F</ci>
</apply>
<ci>RT</ci>
</apply>
<apply>
<minus/>
<ci>psi_m</ci>
<ci>psi_s</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<minus/>
<ci>F</ci>
</apply>
<ci>RT</ci>
</apply>
<apply>
<minus/>
<ci>psi_m</ci>
<ci>psi_s</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="ms_chloride_flux">
<variable name="J_ms_Cl" public_interface="out" units="flux"/>
<variable name="G_ms_Cl" units="flux"/>
<variable initial_value="2.40E-6" name="P_ms_Cl" units="cm_per_s"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="RT" public_interface="in" units="J_per_mmol"/>
<variable name="F" public_interface="in" units="C_per_mmol"/>
<variable name="C_m_Cl" public_interface="in" units="mmol_per_cm3"/>
<variable name="C_s_Cl" public_interface="in" units="mmol_per_cm3"/>
<variable name="psi_m" public_interface="in" units="millivolt"/>
<variable name="psi_s" public_interface="in" units="millivolt"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="J_ms_Cl_calculation">
<eq/>
<ci>J_ms_Cl</ci>
<ci>G_ms_Cl</ci>
</apply>
<apply id="G_ms_Cl_calculation">
<eq/>
<ci>G_ms_Cl</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>P_ms_Cl</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1.0</cn>
</apply>
<ci>F</ci>
<apply>
<minus/>
<ci>psi_m</ci>
<ci>psi_s</ci>
</apply>
</apply>
<ci>RT</ci>
</apply>
<apply>
<minus/>
<ci>C_m_Cl</ci>
<apply>
<times/>
<ci>C_s_Cl</ci>
<apply>
<exp/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1.0</cn>
</apply>
</apply>
<ci>F</ci>
</apply>
<ci>RT</ci>
</apply>
<apply>
<minus/>
<ci>psi_m</ci>
<ci>psi_s</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1.0</cn>
</apply>
</apply>
<ci>F</ci>
</apply>
<ci>RT</ci>
</apply>
<apply>
<minus/>
<ci>psi_m</ci>
<ci>psi_s</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="total_transepithelial_sodium_flux">
<variable name="J_Na" units="flux"/>
<variable name="J_mc_Na" public_interface="in" units="flux"/>
<variable name="J_ms_Na" public_interface="in" units="flux"/>
<variable name="time" public_interface="in" units="second"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="J_Na_calculation">
<eq/>
<ci>J_Na</ci>
<apply>
<plus/>
<ci>J_mc_Na</ci>
<ci>J_ms_Na</ci>
</apply>
</apply>
</math>
</component>
<component name="total_transepithelial_potassium_flux">
<variable name="J_K" units="flux"/>
<variable name="J_mc_K" public_interface="in" units="flux"/>
<variable name="J_ms_K" public_interface="in" units="flux"/>
<variable name="time" public_interface="in" units="second"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="J_K_calculation">
<eq/>
<ci>J_K</ci>
<apply>
<plus/>
<ci>J_mc_K</ci>
<ci>J_ms_K</ci>
</apply>
</apply>
</math>
</component>
<component name="total_transepithelial_chloride_flux">
<variable name="J_Cl" units="flux"/>
<variable name="J_mc_Cl" public_interface="in" units="flux"/>
<variable name="J_ms_Cl" public_interface="in" units="flux"/>
<variable name="time" public_interface="in" units="second"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="J_Cl_calculation">
<eq/>
<ci>J_Cl</ci>
<apply>
<plus/>
<ci>J_mc_Cl</ci>
<ci>J_ms_Cl</ci>
</apply>
</apply>
</math>
</component>
<component name="osmolarities">
<variable name="Osm_m" public_interface="out" units="mmol_per_cm3"/>
<variable name="Osm_c" public_interface="out" units="mmol_per_cm3"/>
<variable name="Osm_s" public_interface="out" units="mmol_per_cm3"/>
<variable name="C_m_Na" public_interface="in" units="mmol_per_cm3"/>
<variable name="C_m_Cl" public_interface="in" units="mmol_per_cm3"/>
<variable name="C_m_K" public_interface="in" units="mmol_per_cm3"/>
<variable name="C_m_Imp" public_interface="in" units="mmol_per_cm3"/>
<variable name="C_c_Na" public_interface="in" units="mmol_per_cm3"/>
<variable name="C_c_Cl" public_interface="in" units="mmol_per_cm3"/>
<variable name="C_c_K" public_interface="in" units="mmol_per_cm3"/>
<variable name="C_c_Imp" public_interface="in" units="mmol_per_cm3"/>
<variable name="C_s_Na" public_interface="in" units="mmol_per_cm3"/>
<variable name="C_s_Cl" public_interface="in" units="mmol_per_cm3"/>
<variable name="C_s_K" public_interface="in" units="mmol_per_cm3"/>
<variable name="C_s_Imp" public_interface="in" units="mmol_per_cm3"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="Osm_m_calculation">
<eq/>
<ci>Osm_m</ci>
<apply>
<plus/>
<ci>C_m_Na</ci>
<ci>C_m_K</ci>
<ci>C_m_Cl</ci>
<ci>C_m_Imp</ci>
</apply>
</apply>
<apply id="Osm_c_calculation">
<eq/>
<ci>Osm_c</ci>
<apply>
<plus/>
<ci>C_c_Na</ci>
<ci>C_c_K</ci>
<ci>C_c_Cl</ci>
<ci>C_c_Imp</ci>
</apply>
</apply>
<apply id="Osm_s_calculation">
<eq/>
<ci>Osm_s</ci>
<apply>
<plus/>
<ci>C_s_Na</ci>
<ci>C_s_K</ci>
<ci>C_s_Cl</ci>
<ci>C_s_Imp</ci>
</apply>
</apply>
</math>
</component>
<component name="mc_transepithelial_volume_flux">
<variable name="J_mc_v" public_interface="out" units="cm_per_s"/>
<variable initial_value="5.22E-9" name="L_mc_v" units="cm_per_s_mmHg"/>
<variable name="Osm_m" public_interface="in" units="mmol_per_cm3"/>
<variable name="Osm_c" public_interface="in" units="mmol_per_cm3"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="RT" public_interface="in" units="J_per_mmol"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="J_mc_v_calculation">
<eq/>
<ci>J_mc_v</ci>
<apply>
<times/>
<ci>L_mc_v</ci>
<ci>RT</ci>
<apply>
<minus/>
<ci>Osm_m</ci>
<ci>Osm_c</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="ms_transepithelial_volume_flux">
<variable name="J_ms_v" public_interface="out" units="cm_per_s"/>
<variable initial_value="0.0" name="L_ms_v" units="cm_per_s_mmHg"/>
<variable name="Osm_m" public_interface="in" units="mmol_per_cm3"/>
<variable name="Osm_s" public_interface="in" units="mmol_per_cm3"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="RT" public_interface="in" units="J_per_mmol"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="J_ms_v_calculation">
<eq/>
<ci>J_ms_v</ci>
<apply>
<times/>
<ci>L_ms_v</ci>
<ci>RT</ci>
<apply>
<minus/>
<ci>Osm_m</ci>
<ci>Osm_s</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="sc_transepithelial_volume_flux">
<variable name="J_sc_v" units="cm_per_s"/>
<variable initial_value="5.22E-7" name="L_sc_v" units="cm_per_s_mmHg"/>
<variable name="Osm_s" public_interface="in" units="mmol_per_cm3"/>
<variable name="Osm_c" public_interface="in" units="mmol_per_cm3"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="RT" public_interface="in" units="J_per_mmol"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="J_sc_v_calculation">
<eq/>
<ci>J_sc_v</ci>
<apply>
<times/>
<ci>L_sc_v</ci>
<ci>RT</ci>
<apply>
<minus/>
<ci>Osm_s</ci>
<ci>Osm_c</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="total_transepithelial_volume_flux">
<variable name="J_v" units="cm_per_s"/>
<variable name="J_mc_v" public_interface="in" units="cm_per_s"/>
<variable name="J_ms_v" public_interface="in" units="cm_per_s"/>
<variable name="time" public_interface="in" units="second"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="J_v_calculation">
<eq/>
<ci>J_v</ci>
<apply>
<plus/>
<ci>J_mc_v</ci>
<ci>J_ms_v</ci>
</apply>
</apply>
</math>
</component>
<group>
<relationship_ref relationship="encapsulation"/>
<component_ref component="imported_variables">
<component_ref component="environment"/>
<component_ref component="constants"/>
<component_ref component="solute_concentrations"/>
<component_ref component="osmolarities"/>
<component_ref component="mc_sodium_flux"/>
<component_ref component="mc_potassium_flux"/>
<component_ref component="mc_chloride_flux"/>
<component_ref component="sc_sodium_flux"/>
<component_ref component="sc_potassium_flux"/>
<component_ref component="sc_chloride_flux"/>
<component_ref component="ms_sodium_flux"/>
<component_ref component="ms_potassium_flux"/>
<component_ref component="ms_chloride_flux"/>
<component_ref component="total_transepithelial_sodium_flux"/>
<component_ref component="total_transepithelial_potassium_flux"/>
<component_ref component="total_transepithelial_chloride_flux"/>
<component_ref component="mc_transepithelial_volume_flux"/>
<component_ref component="ms_transepithelial_volume_flux"/>
<component_ref component="sc_transepithelial_volume_flux"/>
<component_ref component="total_transepithelial_volume_flux"/>
</component_ref>
</group>
<connection>
<map_components component_1="mc_sodium_flux" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="mc_potassium_flux" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="mc_chloride_flux" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="sc_sodium_flux" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="sc_potassium_flux" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="sc_chloride_flux" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="ms_sodium_flux" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="ms_potassium_flux" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="ms_chloride_flux" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="total_transepithelial_sodium_flux" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="total_transepithelial_potassium_flux" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="total_transepithelial_chloride_flux" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="mc_transepithelial_volume_flux" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="ms_transepithelial_volume_flux" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="sc_transepithelial_volume_flux" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="total_transepithelial_volume_flux" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="solute_concentrations" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="mc_sodium_flux" component_2="constants"/>
<map_variables variable_1="RT" variable_2="RT"/>
<map_variables variable_1="F" variable_2="F"/>
</connection>
<connection>
<map_components component_1="mc_potassium_flux" component_2="constants"/>
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A CellML description of Chang and Fujita's 1999 numerical model of the 
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<dc:title xmlns:dc="http://purl.org/dc/elements/1.1/">A numerical model of the renal distal tubule</dc:title>
<bqs:volume xmlns:bqs="http://www.cellml.org/bqs/1.0#">276</bqs:volume>
<bqs:first_page xmlns:bqs="http://www.cellml.org/bqs/1.0#">F931</bqs:first_page>
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<bqs:last_page xmlns:bqs="http://www.cellml.org/bqs/1.0#">F951</bqs:last_page>
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<rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="rdf:#cbbd8328-cc4b-44ec-b53d-ec4caedd48b1">
<vCard:Given xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">Toshiro</vCard:Given>
<vCard:Family xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">Fujita</vCard:Family>
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<dcterms:W3CDTF xmlns:dcterms="http://purl.org/dc/terms/">2007-06-05T09:18:35+12:00</dcterms:W3CDTF>
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<rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="rdf:#a907b383-1dcf-427b-a3cf-f75cada2346e">
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<rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="rdf:#7b8eacdf-c2d6-42ea-b7f9-cb663bbf73b8">
<dcterms:W3CDTF xmlns:dcterms="http://purl.org/dc/terms/">1999-01-01</dcterms:W3CDTF>
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<rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="rdf:#20d1b786-7957-4457-bda5-1d4df2f79cf6">
<vCard:FN xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">Catherine Lloyd</vCard:FN>
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<rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="rdf:#b28db5be-4a73-4d50-9675-5137f4a8235f">
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<rdf:value xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">The new version of this model has been re-coded to remove the reaction element and replace it with a simple MathML description of the model reaction kinetics. This is thought to be truer to the original publication, and information regarding the enzyme kinetics etc will later be added to the metadata through use of an ontology. The model runs in the PCEnv simulator but gives a flat output.</rdf:value>
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</rdf:Description>
<rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="rdf:#9413f374-026c-4147-b850-de6e1c16827a">
<dc:creator xmlns:dc="http://purl.org/dc/elements/1.1/" rdf:resource="rdf:#1dc4bf73-201d-4503-b8fc-2eeb36898c2c" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"/>
<rdf:value xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">This is the CellML description of Chang and Fujita's 1999 numerical model of the renal distal tubule. It should be noted that the initial conditions used in this description represent those in the early distal tubule. For model representations of the late distal tublule, these initial values should be replaced with those listed in the orginal paper for the late distal tubule. The model from the original paper has been modified slightly to include differential equations defining the change in solute concentrations over time. These equations were added to facilitate the use of the CellML code in CMISS.</rdf:value>
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<rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="rdf:#1dc4bf73-201d-4503-b8fc-2eeb36898c2c">
<vCard:FN xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">Catherine Lloyd</vCard:FN>
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</model>
