﻿<?xml version="1.0" encoding="UTF-8" ?>
<sbml xmlns="http://www.sbml.org/sbml/level1" level="1" version="1">
	<model name="Wnt_Signaling_Model">
	
		<listOfCompartments>
			<compartment name="biosphere"/>
			<compartment name="ex" outside="biosphere" />
			<compartment name="cell" outside="biosphere" />
			<compartment name="mb" outside="cell" />
			<compartment name="cyto" outside="cell" />
			<compartment name="nuc" outside="cell" />
		</listOfCompartments>

		<listOfSpecies>
			<specie name="APC" initialAmount="0" compartment="cyto" />
			<specie name="Axin" initialAmount="0" compartment="cyto" />
			<specie name="bc" initialAmount="0" compartment="cyto" />
			<specie name="bc_junk" initialAmount="0" compartment="cyto" />
			<specie name="bc_nuc" initialAmount="0" compartment="nuc" />
			<specie name="bc_target_gene_product" initialAmount="0" compartment="cyto" />
			<specie name="Cerberus" initialAmount="0" compartment="ex" />
			<specie name="Cerberus_Wnt" initialAmount="0" compartment="ex" />
			<specie name="Cerberus_Wnt_LRP" initialAmount="0" compartment="ex" />
			<specie name="Dally" initialAmount="0" compartment="mb" />
			<specie name="deg" initialAmount="0" compartment="cyto" />
			<specie name="Fz" initialAmount="0" compartment="mb" />
			<specie name="Dsh_deg" initialAmount="0" compartment="cyto" />
			<specie name="Dsh_default_default" initialAmount="0" compartment="cyto" />
			<specie name="Dsh_default_active" initialAmount="0" compartment="cyto" />
			<specie name="FRP" initialAmount="0" compartment="ex" />
			<specie name="FRP_Fz_default_default" initialAmount="0" compartment="mb" />
			<specie name="FRP_Fz_default_active" initialAmount="0" compartment="mb" />
			<specie name="FRP_Wnt" initialAmount="0" compartment="ex" />
			<specie name="FRP_Wnt_LRP" initialAmount="0" compartment="ex" />
			<specie name="Fz_default_default" initialAmount="0" compartment="mb" />
			<specie name="Fz_default_active" initialAmount="0" compartment="mb" />
			<specie name="GSK3" initialAmount="0" compartment="cyto" />
			<specie name="LRP" initialAmount="0" compartment="mb" />
			<specie name="LRP_Wnt" initialAmount="0" compartment="mb" />
			<specie name="LRP_Wnt_Fz" initialAmount="0" compartment="mb" />
			<specie name="LRP_Wnt_Fz_default_default" initialAmount="0" compartment="mb" />
			<specie name="LRP_Wnt_Fz_default_active" initialAmount="0" compartment="mb" />
			<specie name="WIF_1" initialAmount="0" compartment="ex" />
			<specie name="WIF_1_Wnt" initialAmount="0" compartment="ex" />
			<specie name="WIF_1_Wnt_LRP" initialAmount="0" compartment="ex" />
			<specie name="Wnt" initialAmount="0" compartment="ex" />
			<specie name="source" initialAmount="1000" compartment="biosphere" />
			<specie name="sink" initialAmount="1000" compartment="biosphere" />
		</listOfSpecies>

		<listOfParameters>
			<parameter name="k_txln1" value="0.0" />
			<parameter name="k_bc_degredation" value="0.0" />
			<parameter name="Dsh_default_active_bc_degredation" value="0.0" />
			<parameter name="k_deg_cpx_formation_forward" value="0.0" />
			<parameter name="k_deg_cpx_formation_reverse" value="0.0" />
			<parameter name="k_txln2" value="0.0" />
			<parameter name="k_Wnt_signal" value="0.0" />
			<parameter name="k_txln3_forward" value="0.0" />
			<parameter name="k_txln3_reverse" value="0.0" />
			<parameter name="k_nuclear_bc_signal" value="0.0" />
			<parameter name="k_b1_forward" value="0.0" />
			<parameter name="k_b1_reverse" value="0.0" />
			<parameter name="k_Fz_engagement_forward" value="0.0" />
			<parameter name="k_Fz_engagement_reverse" value="0.0" />
			<parameter name="k_Fz_activation" value="0.0" />
			<parameter name="k_Dsh_deg_forward" value="0.0" />
			<parameter name="k_Dsh_deg_reverse" value="0.0" />
			<parameter name="k_deg_action" value="0.0" />
			<parameter name="k_feedback" value="0.0" />
		</listOfParameters>

		<listOfReactions>
			<reaction name="txln1" reversible="false">				
				<listOfReactants>
					<specieReference specie="source" />
				</listOfReactants>
				<listOfProducts>
					<specieReference specie="source" />
					<specieReference specie="bc" />
				</listOfProducts>
				<kineticLaw formula="massi(k_txln1)" />
			</reaction>
			<reaction name="bc_degredation" reversible="false">
				<listOfReactants>
					<specieReference specie="bc" />
					<specieReference specie="sink" />
				</listOfReactants>
				<listOfProducts>
					<specieReference specie="sink" />
				</listOfProducts>
				<kineticLaw formula="k_bc_degredation*bc-Dsh_default_active_bc_degredation*Dsh_default_active" />
			</reaction>
			<reaction name="deg_cpx_formation_forward" reversible="false">
				<listOfReactants>
					<specieReference specie="Axin" />
					<specieReference specie="GSK3" />
					<specieReference specie="APC" />
				</listOfReactants>
				<listOfProducts>
					<specieReference specie="deg" />
				</listOfProducts>
				<kineticLaw formula="massi(k_deg_cpx_formation_forward)" />
			</reaction>
			<reaction name="deg_cpx_formation_reverse" reversible="false">
				<listOfReactants>
					<specieReference specie="deg" />
				</listOfReactants>
				<listOfProducts>
					<specieReference specie="Axin" />
					<specieReference specie="GSK3" />
					<specieReference specie="APC" />
				</listOfProducts>
				<kineticLaw formula="massi(k_deg_cpx_formation_reverse)" />
			</reaction>
			<reaction name="txln2" reversible="false">
				<listOfReactants>
					<specieReference specie="source" />
				</listOfReactants>
				<listOfProducts>
					<specieReference specie="source" />
					<specieReference specie="Wnt" />
				</listOfProducts>
				<kineticLaw formula="massi(k_txln2)" />
			</reaction>
			<reaction name="Wnt_signal" reversible="false">
				<listOfReactants>
					<specieReference specie="Wnt" />
				</listOfReactants>
				<listOfProducts>
					<specieReference specie="Dsh_default_active" />
				</listOfProducts>
				<kineticLaw formula="massi(k_Wnt_signal)" />
			</reaction>
			<reaction name="txln3_forward" reversible="false">
				<listOfReactants>
					<specieReference specie="bc" />
				</listOfReactants>
				<listOfProducts>
					<specieReference specie="bc_nuc" />
				</listOfProducts>
				<kineticLaw formula="massi(k_txln3_forward)" />
			</reaction>
			<reaction name="txln3_reverse" reversible="false">
				<listOfReactants>
					<specieReference specie="bc_nuc" />
				</listOfReactants>
				<listOfProducts>
					<specieReference specie="bc" />
				</listOfProducts>
				<kineticLaw formula="massi(k_txln3_reverse)" />
			</reaction>
			<reaction name="nuclear_bc_signal" reversible="false">
				<listOfReactants>
					<specieReference specie="bc_nuc" />
				</listOfReactants>
				<listOfProducts>
					<specieReference specie="bc_target_gene_product" />
				</listOfProducts>
				<kineticLaw formula="massi(k_nuclear_bc_signal)" />
			</reaction>
			<reaction name="b1_forward" reversible="false">
				<listOfReactants>
					<specieReference specie="LRP" />
					<specieReference specie="Wnt" />
				</listOfReactants>
				<listOfProducts>
					<specieReference specie="LRP_Wnt" />
				</listOfProducts>
				<kineticLaw formula="massi(k_b1_forward)" />
			</reaction>
			<reaction name="b1_reverse" reversible="false">
				<listOfReactants>
					<specieReference specie="LRP_Wnt" />
				</listOfReactants>
				<listOfProducts>
					<specieReference specie="LRP" />
					<specieReference specie="Wnt" />
				</listOfProducts>
				<kineticLaw formula="massi(k_b1_reverse)" />
			</reaction>
			<reaction name="Fz_engagement_forward" reversible="false">
				<listOfReactants>
					<specieReference specie="LRP_Wnt" />
					<specieReference specie="Fz" />
				</listOfReactants>
				<listOfProducts>
					<specieReference specie="LRP_Wnt_Fz" />
				</listOfProducts>
				<kineticLaw formula="Dally_Fz_engagmenet_forward*k_Fz_engagement_forward*LRP_Wnt*Fz" />
			</reaction>
			<reaction name="Fz_engagement_reverse" reversible="false">
				<listOfReactants>
					<specieReference specie="LRP_Wnt_Fz" />
				</listOfReactants>
				<listOfProducts>
					<specieReference specie="LRP_Wnt" />
					<specieReference specie="Fz" />
				</listOfProducts>
				<kineticLaw formula="massi(k_Fz_engagement_reverse)" />
			</reaction>
			<reaction name="Fz_activation" reversible="false">
				<listOfReactants>
					<specieReference specie="LRP_Wnt_Fz_default_default" />
				</listOfReactants>
				<listOfProducts>
					<specieReference specie="LRP_Wnt_Fz_default_active" />
				</listOfProducts>
				<kineticLaw formula="massi(k_Fz_activation)" />
			</reaction>
			<reaction name="Dsh_activation" reversible="false">
				<listOfReactants>
					<specieReference specie="Dsh_default_default" />
				</listOfReactants>
				<listOfProducts>
					<specieReference specie="Dsh_default_active" />
				</listOfProducts>
				<kineticLaw formula="massi(k_Fz_activation)" />
			</reaction>
			<reaction name="Dsh_action_forward" reversible="false">
				<listOfReactants>
					<specieReference specie="Dsh_default_active" />
					<specieReference specie="deg" />
				</listOfReactants>
				<listOfProducts>
					<specieReference specie="Dsh_deg" />
				</listOfProducts>
				<kineticLaw formula="massi(k_Dsh_deg_forward)" />
			</reaction>
			<reaction name="Dsh_action_reverse" reversible="false">
				<listOfReactants>
					<specieReference specie="Dsh_deg" />
				</listOfReactants>
				<listOfProducts>
					<specieReference specie="Dsh_default_active" />
					<specieReference specie="deg" />
				</listOfProducts>
				<kineticLaw formula="massi(k_Dsh_deg_reverse)" />
			</reaction>
			<reaction name="deg_action" reversible="false">
				<listOfReactants>
					<specieReference specie="deg" />
					<specieReference specie="bc" />
				</listOfReactants>
				<listOfProducts>
					<specieReference specie="deg" />
					<specieReference specie="bc_junk" />
				</listOfProducts>
				<kineticLaw formula="massi(k_deg_action)" />
			</reaction>
			<reaction name="bc_exit" reversible="false">
				<listOfReactants>
					<specieReference specie="sink" />
					<specieReference specie="bc_junk" />
				</listOfReactants>
				<listOfProducts>
					<specieReference specie="sink" />
				</listOfProducts>
				<kineticLaw formula="massi(k_bc_exit)" />
			</reaction>
			<reaction name="feedback" reversible="false">
				<listOfReactants>
					<specieReference specie="bc_target_gene_product" />
					<specieReference specie="Dsh_deg" />
				</listOfReactants>
				<listOfProducts>
					<specieReference specie="deg" />
					<specieReference specie="Dsh_default_default" />
				</listOfProducts>
				<kineticLaw formula="massi(k_feedback)" />
			</reaction>
		</listOfReactions>
		
	</model>	
</sbml>
