Location: 12 L Platform 1 model codes @ 4c1ab73f48d7 / Airway_FTU / cellml2_version / experiment / Li_et_al.cellml
- Author:
- aram148 <a.rampadarath@auckland.ac.nz>
- Date:
- 2021-11-04 16:02:42+13:00
- Desc:
- Updated USMC-Bursztyn model
- Permanent Source URI:
- http://models.cellml.org/workspace/6b0/rawfile/4c1ab73f48d7150c2094cf8017425482a1594ccf/Airway_FTU/cellml2_version/experiment/Li_et_al.cellml
<model xmlns="http://www.cellml.org/cellml/2.0#" xmlns:cellml="http://www.cellml.org/cellml/2.0#" name="Li_et_al_2015">
<component name="Environment">
<variable name="t" units="second" interface="public"/>
</component>
<component name="PN">
<variable name="alpha_d" units="dimensionless"/>
<variable initial_value="1" name="d_f" units="dimensionless"/>
<variable initial_value="1" name="d_e" units="dimensionless"/>
<variable name="gamma_d" units="dimensionless"/>
<variable initial_value="0.1250" name="alpha_se" units="dimensionless"/>
<variable initial_value="0.1250" name="alpha_sf" units="dimensionless"/>
<variable initial_value="0.1" name="a_f" units="dimensionless"/>
<variable initial_value="0.1" name="a_e" units="dimensionless"/>
<variable initial_value="3.8" name="v_f" units="dimensionless"/>
<variable initial_value="3.8" name="v_e" units="dimensionless"/>
<variable name="Y_PNe" units="dimensionless"/>
<variable name="Y_PNf" units="dimensionless"/>
<variable initial_value="0.250" name="N_f" units="dimensionless"/>
<variable initial_value="0.250" name="N_e" units="dimensionless"/>
<variable initial_value="0.1" name="C_e" units="dimensionless"/>
<variable initial_value="0.1" name="C_f" units="dimensionless"/>
<variable initial_value="0.029" name="tau_Ne" units="dimensionless"/>
<variable initial_value="0.029" name="tau_Nf" units="dimensionless"/>
<variable name="C_ep" units="dimensionless"/>
<variable name="C_fp" units="dimensionless"/>
<variable name="sigma" units="dimensionless"/>
<variable initial_value="0.2" name="ge" units="dimensionless"/>
<variable initial_value="0.2" name="se" units="dimensionless"/>
<variable initial_value="0.1" name="re" units="dimensionless"/>
<variable initial_value="0.1" name="be" units="dimensionless"/>
<variable initial_value="0.2" name="gf" units="dimensionless"/>
<variable initial_value="0.2" name="sf" units="dimensionless"/>
<variable initial_value="0.1" name="rf" units="dimensionless"/>
<variable initial_value="0.1" name="bf" units="dimensionless"/>
<variable name="Y_ae" units="dimensionless"/>
<variable name="Y_af" units="dimensionless"/>
<variable initial_value="0.5" name="A_alpha" units="dimensionless"/>
<variable initial_value="0.5" name="A_gamma" units="dimensionless"/>
<variable initial_value="5" name="f_gamma" units="dimensionless"/>
<variable name="f_alpha" units="dimensionless"/>
<variable initial_value="5.4" name="phi_e" units="dimensionless"/>
<variable initial_value="5.4" name="phi_f" units="dimensionless"/>
<variable name="t" units="second" interface="public"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>sigma</ci>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<times/>
<cn cellml:units="dimensionless">0.1</cn>
<apply>
<root/>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<pi/>
</apply>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">0.5</cn>
</apply>
<apply>
<power/>
<apply>
<divide/>
<ci>t</ci>
<cn cellml:units="dimensionless">0.1</cn>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>f_alpha</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>f_gamma</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha_d</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>A_alpha</ci>
<apply>
<sin/>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<pi/>
<ci>f_alpha</ci>
<ci>t</ci>
</apply>
</apply>
<apply>
<and/>
<apply>
<leq/>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<pi/>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<pi/>
<ci>f_alpha</ci>
<ci>t</ci>
</apply>
</apply>
<apply>
<lt/>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<pi/>
<ci>f_alpha</ci>
<ci>t</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">3</cn>
<pi/>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">0</cn>
<apply>
<and/>
<apply>
<leq/>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<pi/>
<ci>f_alpha</ci>
<ci>t</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">3</cn>
<pi/>
</apply>
</apply>
<apply>
<lt/>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<pi/>
<ci>f_alpha</ci>
<ci>t</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">4</cn>
<pi/>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>gamma_d</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>A_gamma</ci>
<apply>
<sin/>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<pi/>
<ci>f_gamma</ci>
<ci>t</ci>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">0.5</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>Y_PNe</ci>
<apply>
<plus/>
<apply>
<minus/>
<ci>alpha_d</ci>
<apply>
<times/>
<ci>d_f</ci>
<ci>gamma_d</ci>
</apply>
</apply>
<apply>
<times/>
<ci>a_e</ci>
<ci>v_e</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Y_PNf</ci>
<apply>
<plus/>
<apply>
<minus/>
<ci>alpha_d</ci>
<apply>
<times/>
<ci>d_e</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>gamma_d</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>a_f</ci>
<ci>v_f</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>N_e</ci>
<apply>
<plus/>
<ci>alpha_se</ci>
<ci>Y_PNe</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>N_f</ci>
<apply>
<plus/>
<ci>alpha_sf</ci>
<ci>Y_PNf</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>C_e</ci>
</apply>
<apply>
<times/>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<minus/>
<ci>C_e</ci>
</apply>
<ci>tau_Ne</ci>
</apply>
<apply>
<divide/>
<ci>N_e</ci>
<ci>tau_Ne</ci>
</apply>
</apply>
<apply>
<and/>
<apply>
<geq/>
<ci>N_e</ci>
<cn cellml:units="dimensionless">0</cn>
</apply>
<apply>
<leq/>
<ci>N_e</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>C_f</ci>
</apply>
<apply>
<times/>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<minus/>
<ci>C_f</ci>
</apply>
<ci>tau_Nf</ci>
</apply>
<apply>
<divide/>
<ci>N_f</ci>
<ci>tau_Nf</ci>
</apply>
</apply>
<apply>
<and/>
<apply>
<geq/>
<ci>N_f</ci>
<cn cellml:units="dimensionless">0</cn>
</apply>
<apply>
<leq/>
<ci>N_f</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>C_ep</ci>
<apply>
<times/>
<ci>C_e</ci>
<ci>sigma</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>C_fp</ci>
<apply>
<times/>
<ci>C_f</ci>
<ci>sigma</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Y_ae</ci>
<apply>
<times/>
<apply>
<divide/>
<ci>C_ep</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<times/>
<ci>ge</ci>
<ci>C_ep</ci>
</apply>
</apply>
</apply>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<times/>
<ci>se</ci>
<ci>v_e</ci>
</apply>
</apply>
<apply>
<times/>
<ci>re</ci>
<ci>v_f</ci>
</apply>
</apply>
<apply>
<times/>
<ci>be</ci>
<ci>phi_e</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Y_af</ci>
<apply>
<times/>
<apply>
<divide/>
<ci>C_fp</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<times/>
<ci>gf</ci>
<ci>C_fp</ci>
</apply>
</apply>
</apply>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<times/>
<ci>sf</ci>
<ci>v_f</ci>
</apply>
</apply>
<apply>
<times/>
<ci>rf</ci>
<ci>v_e</ci>
</apply>
</apply>
<apply>
<times/>
<ci>bf</ci>
<ci>phi_f</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<connection component_1="Environment" component_2="PN">
<map_variables variable_1="t" variable_2="t"/>
</connection>
</model>