- Author:
- Nazanin Ebrahimi <nebr002@aucklanduni.ac.nz>
- Date:
- 2014-10-13 15:48:02+13:00
- Desc:
- Notch model from Wang et al. paper is added
- Permanent Source URI:
- http://models.cellml.org/workspace/1cd/rawfile/eb1590e7cc67963d30742270f6382b000c720a33/Notch_1_Wang.cellml
<?xml version="1.0" encoding="utf-8"?>
<!--
This CellML file was generated on 25-Oct-13 at 4:30:43 at PM using:
COR (0.9.31.1409)
Copyright 2002-2013 Dr Alan Garny
http://cor.physiol.ox.ac.uk/ - cor@physiol.ox.ac.uk
CellML 1.0 was used to generate this model
http://www.cellml.org/
-->
<model name="Notch1" cmeta:id="Notch1" 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="nM">
<unit units="mole" prefix="nano"/>
<unit units="liter" exponent="-1"/>
</units>
<units name="min">
<unit units="second" multiplier="60"/>
</units>
<units name="per_min">
<unit units="min" exponent="-1"/>
</units>
<units name="nM_per_min">
<unit units="nM"/>
<unit units="min" exponent="-1"/>
</units>
<units name="per_nM_per_min">
<unit units="nM" exponent="-1"/>
<unit units="min" exponent="-1"/>
</units>
<component name="wholecell">
<variable name="t" units="min"/>
<variable name="Dll1" units="nM" initial_value="1.71"/>
<variable name="V_sDll1" units="nM_per_min" initial_value="0.2"/>
<variable name="V_MdDll1" units="nM_per_min" initial_value="0.385"/>
<variable name="K_dDll1" units="nM" initial_value="1.584"/>
<variable name="Notch" units="nM" initial_value="0.12"/>
<variable name="V_sNotch" units="nM_per_min" initial_value="0.069"/>
<variable name="K_c" units="per_min" initial_value="1.035"/>
<variable name="K_Dll1" units="nM" initial_value="1"/>
<variable name="K_ILfng" units="nM" initial_value="0.15"/>
<variable name="n" units="dimensionless" initial_value="2"/>
<variable name="Lfng" units="nM" initial_value="2.72"/>
<variable name="V_MdNotch" units="nM_per_min" initial_value="0.846"/>
<variable name="K_dNotch" units="nM" initial_value="1.4"/>
<variable name="NICD_c" units="nM" initial_value="0"/>
<variable name="EX_NICD_n" units="per_min" initial_value="0.03"/>
<variable name="NICD_n" units="nM" initial_value="0.009"/>
<variable name="IM_NICD_c" units="per_min" initial_value="0.03"/>
<variable name="V_MdNICD_c" units="nM_per_min" initial_value="0.01"/>
<variable name="K_dNICD_c" units="nM" initial_value="0.001"/>
<variable name="K_mLfng" units="per_min" initial_value="0.09"/>
<variable name="EX_mLfng_n" units="per_min" initial_value="0.5"/>
<variable name="mLfng_c" units="nM" initial_value="0.043"/>
<variable name="V_MdLfng" units="nM_per_min" initial_value="0.117"/>
<variable name="K_dLfng" units="nM" initial_value="0.37"/>
<variable name="V_MdmLfng_c" units="nM_per_min" initial_value="0.7"/>
<variable name="K_dmLfng_c" units="nM" initial_value="0.768"/>
<variable name="Hes7_c" units="nM" initial_value="10.66"/>
<variable name="K_mHes7" units="per_min" initial_value="0.05"/>
<variable name="mHes7_c" units="nM" initial_value="0.042"/>
<variable name="EX_Hes7_n" units="per_min" initial_value="0.01"/>
<variable name="Hes7_n" units="nM" initial_value="1.24"/>
<variable name="IM_Hes7_c" units="per_min" initial_value="0.01"/>
<variable name="V_MdHes7_c" units="nM_per_min" initial_value="0.1"/>
<variable name="K_dHes7_c" units="nM" initial_value="0.1"/>
<variable name="EX_mHes7_n" units="per_min" initial_value="1.5"/>
<variable name="mHes7_n" units="nM" initial_value="0.013"/>
<variable name="V_MdmHes7_c" units="nM_per_min" initial_value="0.635"/>
<variable name="K_dmHes7_c" units="nM" initial_value="1"/>
<variable name="d_NR" units="per_min" initial_value="1"/>
<variable name="NR" units="nM" initial_value="0.026"/>
<variable name="a_NR" units="per_nM_per_min" initial_value="8"/>
<variable name="RBPj" units="nM"/>
<variable name="V_MdNICD_n" units="nM_per_min" initial_value="0.003"/>
<variable name="K_dNICD_n" units="nM" initial_value="0.001"/>
<variable name="V_MdHes7_n" units="nM_per_min" initial_value="0.1"/>
<variable name="K_dHes7_n" units="nM" initial_value="0.1"/>
<variable name="mLfng_n" units="nM" initial_value="0.073"/>
<variable name="V_mLfng" units="nM_per_min" initial_value="0.03"/>
<variable name="V_MsmLfng" units="nM_per_min" initial_value="0.9"/>
<variable name="K_smLfng" units="nM" initial_value="0.05"/>
<variable name="h1" units="dimensionless" initial_value="2"/>
<variable name="K_HIL" units="nM" initial_value="0.2"/>
<variable name="h_HIL" units="dimensionless" initial_value="2"/>
<variable name="V_mHes7" units="nM_per_min" initial_value="0.01"/>
<variable name="V_MsmHes7" units="nM_per_min" initial_value="1.24"/>
<variable name="K_smHes7" units="nM" initial_value="0.041"/>
<variable name="h2" units="dimensionless" initial_value="2"/>
<variable name="K_HIH" units="nM" initial_value="0.2"/>
<variable name="h_HIH" units="dimensionless" initial_value="2"/>
<variable name="RBPj_t" units="nM" initial_value="0.35"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>RBPj</ci>
<apply>
<minus/>
<ci>RBPj_t</ci>
<ci>NR</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>Dll1</ci>
</apply>
<apply>
<minus/>
<ci>V_sDll1</ci>
<apply>
<times/>
<ci>V_MdDll1</ci>
<apply>
<divide/>
<ci>Dll1</ci>
<apply>
<plus/>
<ci>K_dDll1</ci>
<ci>Dll1</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>Notch</ci>
</apply>
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<minus/>
<apply>
<minus/>
<ci>V_sNotch</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>K_c</ci>
<ci>Notch</ci>
<ci>Dll1</ci>
</apply>
<apply>
<plus/>
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<ci>Dll1</ci>
</apply>
</apply>
<apply>
<power/>
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<ci>n</ci>
</apply>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci>K_ILfng</ci>
<ci>n</ci>
</apply>
<apply>
<power/>
<ci>Lfng</ci>
<ci>n</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>V_MdNotch</ci>
<ci>Notch</ci>
</apply>
<apply>
<plus/>
<ci>K_dNotch</ci>
<ci>Notch</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>NICD_c</ci>
</apply>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>K_c</ci>
<ci>Notch</ci>
<ci>Dll1</ci>
</apply>
<apply>
<plus/>
<ci>K_Dll1</ci>
<ci>Dll1</ci>
</apply>
</apply>
<apply>
<power/>
<ci>K_ILfng</ci>
<ci>n</ci>
</apply>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci>K_ILfng</ci>
<ci>n</ci>
</apply>
<apply>
<power/>
<ci>Lfng</ci>
<ci>n</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>EX_NICD_n</ci>
<ci>NICD_n</ci>
</apply>
</apply>
<apply>
<times/>
<ci>IM_NICD_c</ci>
<ci>NICD_c</ci>
</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>V_MdNICD_c</ci>
<ci>NICD_c</ci>
</apply>
<apply>
<plus/>
<ci>K_dNICD_c</ci>
<ci>NICD_c</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>Lfng</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>K_mLfng</ci>
<ci>mLfng_c</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>V_MdLfng</ci>
<ci>Lfng</ci>
</apply>
<apply>
<plus/>
<ci>K_dLfng</ci>
<ci>Lfng</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>mLfng_c</ci>
</apply>
<apply>
<minus/>
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<times/>
<ci>EX_mLfng_n</ci>
<ci>mLfng_n</ci>
</apply>
<apply>
<divide/>
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<times/>
<ci>V_MdmLfng_c</ci>
<ci>mLfng_c</ci>
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<apply>
<plus/>
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<ci>mLfng_c</ci>
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</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
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<ci>Hes7_c</ci>
</apply>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci>K_mHes7</ci>
<ci>mHes7_c</ci>
</apply>
<apply>
<times/>
<ci>EX_Hes7_n</ci>
<ci>Hes7_n</ci>
</apply>
</apply>
<apply>
<times/>
<ci>IM_Hes7_c</ci>
<ci>Hes7_c</ci>
</apply>
</apply>
<apply>
<divide/>
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<times/>
<ci>V_MdHes7_c</ci>
<ci>Hes7_c</ci>
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<apply>
<plus/>
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<ci>Hes7_c</ci>
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<apply>
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<ci>mHes7_c</ci>
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<minus/>
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<times/>
<ci>EX_mHes7_n</ci>
<ci>mHes7_n</ci>
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<divide/>
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<ci>V_MdmHes7_c</ci>
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<plus/>
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<ci>mHes7_c</ci>
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</apply>
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<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>NICD_n</ci>
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<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<plus/>
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<times/>
<ci>IM_NICD_c</ci>
<ci>NICD_c</ci>
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<apply>
<times/>
<ci>d_NR</ci>
<ci>NR</ci>
</apply>
</apply>
<apply>
<times/>
<ci>EX_NICD_n</ci>
<ci>NICD_n</ci>
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</apply>
<apply>
<times/>
<ci>a_NR</ci>
<ci>NICD_n</ci>
<ci>RBPj</ci>
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<apply>
<divide/>
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<times/>
<ci>V_MdNICD_n</ci>
<ci>NICD_n</ci>
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<plus/>
<ci>K_dNICD_n</ci>
<ci>NICD_n</ci>
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<eq/>
<apply>
<diff/>
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<ci>NR</ci>
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<minus/>
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<ci>a_NR</ci>
<ci>NICD_n</ci>
<ci>RBPj</ci>
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<times/>
<ci>d_NR</ci>
<ci>NR</ci>
</apply>
</apply>
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<apply>
<eq/>
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<diff/>
<bvar>
<ci>t</ci>
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<ci>Hes7_n</ci>
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<minus/>
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<minus/>
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<times/>
<ci>IM_Hes7_c</ci>
<ci>Hes7_c</ci>
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<times/>
<ci>EX_Hes7_n</ci>
<ci>Hes7_n</ci>
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</apply>
<apply>
<divide/>
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<times/>
<ci>V_MdHes7_n</ci>
<ci>Hes7_n</ci>
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<plus/>
<ci>K_dHes7_n</ci>
<ci>Hes7_n</ci>
</apply>
</apply>
</apply>
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<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
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<plus/>
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<apply>
<divide/>
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<times/>
<apply>
<divide/>
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<times/>
<ci>V_MsmLfng</ci>
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<power/>
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<ci>h1</ci>
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<plus/>
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<apply>
<power/>
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<apply>
<plus/>
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<power/>
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<power/>
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<times/>
<ci>EX_mLfng_n</ci>
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<divide/>
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<plus/>
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<plus/>
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<times/>
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</math>
</component>
</model>