- Author:
- ssu655 <ssu655@aucklanduni.ac.nz>
- Date:
- 2020-03-11 15:48:45+13:00
- Desc:
- removed out-of-date README file
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/5c8/rawfile/92bbea105c383cf6e6e8571e851a9c5811f19b63/Astrocyte.cellml
<?xml version='1.0' encoding='UTF-8'?>
<model name="Astrocyte_module" 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="mM" units_ref="mM"/>
<units name="per_s" units_ref="per_s"/>
<units name="mM_per_s" units_ref="mM_per_s"/>
<units name="per_mM" units_ref="per_mM"/>
<units name="per_mM_s" units_ref="per_mM_s"/>
</import>
<import xlink:href="NVC_parameters.cellml">
<component component_ref="Parameters" name="Parameters"/>
</import>
<component name="environment">
<variable name="time" public_interface="out" units="second"/>
</component>
<component name="Astrocyte">
<variable name="t" public_interface="in" units="second"/>
<!-- State variables-->
<variable initial_value="0" name="q_Glu" public_interface="in" units="mM"/>
<variable initial_value="127" name="q_NO" public_interface="in" units="mM"/>
<variable initial_value="8.666130575" name="q_Ca_Astro" units="mM"/>
<variable initial_value="1433" name="q_AA" units="mM"/>
<variable initial_value="82" name="q_HETE" public_interface="out" units="mM"/>
<variable initial_value="1.08" name="q_S1_HETE" units="mM"/>
<variable initial_value="95" name="q_S2_HETE" units="mM"/>
<variable initial_value="58" name="q_S3_HETE" units="mM"/>
<variable initial_value="0.06" name="q_PG" public_interface="out" units="mM"/>
<variable initial_value="2.6" name="q_S1_PG" units="mM"/>
<variable initial_value="0.36" name="q_S2_PG" units="mM"/>
<variable initial_value="0.08" name="q_S3_PG" units="mM"/>
<variable initial_value="32" name="q_EET" public_interface="out" units="mM"/>
<variable initial_value="40" name="q_S1_EET" units="mM"/>
<variable initial_value="34" name="q_S2_EET" units="mM"/>
<variable initial_value="31" name="q_S3_EET" units="mM"/>
<!-- Parameters-->
<variable name="k_2" public_interface="in" units="per_s"/>
<variable name="k_4" public_interface="in" units="per_mM_s"/>
<variable name="k_5" public_interface="in" units="mM_per_s"/>
<variable name="k_6" public_interface="in" units="per_s"/>
<variable name="k_7" public_interface="in" units="mM_per_s"/>
<variable name="k_8" public_interface="in" units="dimensionless"/>
<variable name="k_9" public_interface="in" units="dimensionless"/>
<variable name="k_12" public_interface="in" units="per_s"/>
<variable name="k_13" public_interface="in" units="per_s"/>
<variable name="k_14" public_interface="in" units="per_s"/>
<variable name="k_15" public_interface="in" units="per_s"/>
<variable name="k_16" public_interface="in" units="per_s"/>
<variable name="k_17" public_interface="in" units="per_s"/>
<variable name="k_18" public_interface="in" units="per_s"/>
<variable name="k_19" public_interface="in" units="per_s"/>
<variable name="k_20" public_interface="in" units="per_s"/>
<variable name="km_1" public_interface="in" units="mM"/>
<variable name="km_2" public_interface="in" units="mM"/>
<variable name="k_sink_A" public_interface="in" units="per_s"/>
<variable name="k_sink_H" public_interface="in" units="per_s"/>
<variable name="k_sink_P" public_interface="in" units="per_s"/>
<variable name="k_sink_E" public_interface="in" units="per_s"/>
<variable name="v_Ca_Abas" public_interface="in" units="mM_per_s"/>
<variable name="q_PL" public_interface="in" units="mM"/>
<!-- ODEs-->
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_Ca_Astro</ci>
</apply>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<times/>
<ci>k_2</ci>
<ci>q_Glu</ci>
</apply>
<apply>
<times/>
<ci>q_Ca_Astro</ci>
<ci>k_sink_A</ci>
</apply>
</apply>
<ci>v_Ca_Abas</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_AA</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>q_PL</ci>
<ci>q_Ca_Astro</ci>
<ci>k_4</ci>
</apply>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<times/>
<ci>k_5</ci>
<ci>q_AA</ci>
</apply>
<apply>
<plus/>
<ci>km_1</ci>
<apply>
<times/>
<ci>k_8</ci>
<ci>q_NO</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>k_6</ci>
<ci>q_AA</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>k_7</ci>
<ci>q_AA</ci>
</apply>
<apply>
<plus/>
<ci>km_2</ci>
<apply>
<times/>
<ci>k_9</ci>
<ci>q_NO</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_S1_HETE</ci>
</apply>
<apply>
<minus/>
<apply>
<divide/>
<apply>
<times/>
<ci>k_5</ci>
<ci>q_AA</ci>
</apply>
<apply>
<plus/>
<ci>km_1</ci>
<apply>
<times/>
<ci>k_8</ci>
<ci>q_NO</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>k_12</ci>
<ci>q_S1_HETE</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_S2_HETE</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>k_12</ci>
<ci>q_S1_HETE</ci>
</apply>
<apply>
<times/>
<ci>k_13</ci>
<ci>q_S2_HETE</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_S3_HETE</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>k_13</ci>
<ci>q_S2_HETE</ci>
</apply>
<apply>
<times/>
<ci>k_14</ci>
<ci>q_S3_HETE</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_HETE</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>k_14</ci>
<ci>q_S3_HETE</ci>
</apply>
<apply>
<times/>
<ci>q_HETE</ci>
<ci>k_sink_H</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_S1_PG</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>k_6</ci>
<ci>q_AA</ci>
</apply>
<apply>
<times/>
<ci>k_15</ci>
<ci>q_S1_PG</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_S2_PG</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>k_15</ci>
<ci>q_S1_PG</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>q_S2_PG</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_S3_PG</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>k_16</ci>
<ci>q_S2_PG</ci>
</apply>
<apply>
<times/>
<ci>k_17</ci>
<ci>q_S3_PG</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_PG</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>k_17</ci>
<ci>q_S3_PG</ci>
</apply>
<apply>
<times/>
<ci>q_PG</ci>
<ci>k_sink_P</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_S1_EET</ci>
</apply>
<apply>
<minus/>
<apply>
<divide/>
<apply>
<times/>
<ci>k_7</ci>
<ci>q_AA</ci>
</apply>
<apply>
<plus/>
<ci>km_2</ci>
<apply>
<times/>
<ci>k_9</ci>
<ci>q_NO</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>k_18</ci>
<ci>q_S1_EET</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_S2_EET</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>k_18</ci>
<ci>q_S1_EET</ci>
</apply>
<apply>
<times/>
<ci>k_19</ci>
<ci>q_S2_EET</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_S3_EET</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>k_19</ci>
<ci>q_S2_EET</ci>
</apply>
<apply>
<times/>
<ci>k_20</ci>
<ci>q_S3_EET</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_EET</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>k_20</ci>
<ci>q_S3_EET</ci>
</apply>
<apply>
<times/>
<ci>q_EET</ci>
<ci>k_sink_E</ci>
</apply>
</apply>
</apply>
</math>
</component>
<connection>
<map_components component_1="environment" component_2="Astrocyte"/>
<map_variables variable_1="time" variable_2="t"/>
</connection>
<connection>
<map_components component_1="Astrocyte" component_2="Parameters"/>
<map_variables variable_1="k_2" variable_2="k_2"/>
<map_variables variable_1="k_4" variable_2="k_4"/>
<map_variables variable_1="k_5" variable_2="k_5"/>
<map_variables variable_1="k_6" variable_2="k_6"/>
<map_variables variable_1="k_7" variable_2="k_7"/>
<map_variables variable_1="k_8" variable_2="k_8"/>
<map_variables variable_1="k_9" variable_2="k_9"/>
<map_variables variable_1="k_12" variable_2="k_12"/>
<map_variables variable_1="k_13" variable_2="k_13"/>
<map_variables variable_1="k_14" variable_2="k_14"/>
<map_variables variable_1="k_15" variable_2="k_15"/>
<map_variables variable_1="k_16" variable_2="k_16"/>
<map_variables variable_1="k_17" variable_2="k_17"/>
<map_variables variable_1="k_18" variable_2="k_18"/>
<map_variables variable_1="k_19" variable_2="k_19"/>
<map_variables variable_1="k_20" variable_2="k_20"/>
<map_variables variable_1="km_1" variable_2="km_1"/>
<map_variables variable_1="km_2" variable_2="km_2"/>
<map_variables variable_1="k_sink_A" variable_2="k_sink_A"/>
<map_variables variable_1="k_sink_H" variable_2="k_sink_H"/>
<map_variables variable_1="k_sink_P" variable_2="k_sink_P"/>
<map_variables variable_1="k_sink_E" variable_2="k_sink_E"/>
<map_variables variable_1="v_Ca_Abas" variable_2="v_Ca_Abas"/>
<map_variables variable_1="q_PL" variable_2="q_PL"/>
</connection>
</model>
