- Author:
- Weiwei Ai <wai484@aucklanduni.ac.nz>
- Date:
- 2024-06-19 08:16:04+12:00
- Desc:
- Add sedml file
- Permanent Source URI:
- https://models.fieldml.org/workspace/b6e/rawfile/06c83b6c5ce0bd9ab8e9f19c8f8697f46583eacf/models/receptors.cellml
<?xml version='1.0' encoding='UTF-8'?>
<model name="receptors" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#" xmlns:xlink="http://www.w3.org/1999/xlink">
<import xlink:href="./units.cellml">
<units name="mmHg" units_ref="mmHg"/>
<units name="mL" units_ref="mL"/>
<units name="bit_per_s" units_ref="bit_per_s"/>
<units name="per_mL_s3" units_ref="per_mL_s3"/>
<units name="mmHg_per_s" units_ref="mmHg_per_s"/>
</import>
<component name="baroreceptors">
<variable name="t" public_interface="in" units="second"/>
<variable name="u_sa" public_interface="in" units="mmHg"/>
<!-- input arterial pressure-->
<variable initial_value="92" name="u_br_f" public_interface="out" units="mmHg"/>
<variable initial_value="2.076" name="tau_p" units="second"/>
<variable initial_value="6.37" name="tau_z" units="second"/>
<variable initial_value="2.52" name="f_min" units="bit_per_s"/>
<variable initial_value="47.78" name="f_max" units="bit_per_s"/>
<variable initial_value="1.43" name="k_br" units="mmHg"/>
<variable initial_value="92" name="u_br" units="mmHg"/>
<variable name="v_br_f" public_interface="out" units="bit_per_s"/>
<variable name="du_sa" public_interface="in" units="mmHg_per_s"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>u_br_f</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<divide/>
<ci>u_sa</ci>
<ci>tau_p</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>tau_z</ci>
<ci>du_sa</ci>
</apply>
<ci>tau_p</ci>
</apply>
</apply>
<apply>
<divide/>
<ci>u_br_f</ci>
<ci>tau_p</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_br_f</ci>
<apply>
<divide/>
<apply>
<plus/>
<ci>f_min</ci>
<apply>
<times/>
<ci>f_max</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<ci>u_br_f</ci>
<ci>u_br</ci>
</apply>
<ci>k_br</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<ci>u_br_f</ci>
<ci>u_br</ci>
</apply>
<ci>k_br</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="cardiopulmonary_receptors">
<variable name="t" public_interface="in" units="second"/>
<variable name="u_pv" public_interface="in" units="mmHg"/>
<!-- input pulmonary vein blood pressure-->
<variable initial_value="-5" name="u_thor_a" units="mmHg"/>
<!--Thoracic pressure varies linearly (-9, -4) mmHg-->
<variable initial_value="10" name="u_cr_f" public_interface="out" units="mmHg"/>
<variable initial_value="2" name="tau_cr" units="second"/>
<variable initial_value="20" name="f_cr_max" units="bit_per_s"/>
<variable initial_value="11.758" name="k_cr" units="mmHg"/>
<variable initial_value="10.8" name="P_tn" units="mmHg"/>
<variable name="v_cr_f" public_interface="out" units="bit_per_s"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>u_cr_f</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<minus/>
<ci>u_pv</ci>
<ci>u_thor_a</ci>
</apply>
<ci>u_cr_f</ci>
</apply>
<ci>tau_cr</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_cr_f</ci>
<apply>
<divide/>
<ci>f_cr_max</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<ci>P_tn</ci>
<ci>u_cr_f</ci>
</apply>
<ci>k_cr</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="pulmonary_stretch_receptors">
<variable name="t" public_interface="in" units="second"/>
<variable initial_value="6000" name="q_ac" units="mL"/>
<!-- volume of air in the acinus-->
<variable initial_value="10" name="v_pr_f" public_interface="out" units="bit_per_s"/>
<variable initial_value="0.5" name="tau_ac" units="second"/>
<variable initial_value="23.91" name="G_ac" units="per_mL_s3"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>v_pr_f</ci>
</apply>
<apply>
<times/>
<ci>tau_ac</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>G_ac</ci>
<ci>q_ac</ci>
</apply>
<apply>
<divide/>
<apply>
<divide/>
<ci>v_pr_f</ci>
<cn cellml:units="second">1</cn>
</apply>
<cn cellml:units="second">1</cn>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="afferent">
<variable name="v_br_f" public_interface="in" units="bit_per_s"/>
<variable name="v_cr_f" public_interface="in" units="bit_per_s"/>
<variable name="v_pr_f" public_interface="in" units="bit_per_s"/>
<variable initial_value="1" name="K_NA_br" units="dimensionless"/>
<variable initial_value="1" name="K_NA_cr" units="dimensionless"/>
<variable initial_value="1" name="K_NA_pr" units="dimensionless"/>
<variable initial_value="0" name="K_DMV_br" units="dimensionless"/>
<variable initial_value="1" name="K_DMV_cr" units="dimensionless"/>
<variable initial_value="1" name="K_DMV_pr" units="dimensionless"/>
<variable name="v_NA_f" public_interface="out" units="bit_per_s"/>
<variable name="v_DMV_f" public_interface="out" units="bit_per_s"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>v_NA_f</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>K_NA_br</ci>
<ci>v_br_f</ci>
</apply>
<apply>
<times/>
<ci>K_NA_cr</ci>
<ci>v_cr_f</ci>
</apply>
<apply>
<times/>
<ci>K_NA_pr</ci>
<ci>v_pr_f</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_DMV_f</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>K_DMV_br</ci>
<ci>v_br_f</ci>
</apply>
<apply>
<times/>
<ci>K_DMV_cr</ci>
<ci>v_cr_f</ci>
</apply>
<apply>
<times/>
<ci>K_DMV_pr</ci>
<ci>v_pr_f</ci>
</apply>
</apply>
</apply>
</math>
</component>
</model>
