Egfr path

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# The primary focus of the model developed by Kholodenko
# is the cascade of signaling events that lead to 
# recruitment of cytosolic Sos to the inner cell membrane.  
# EGF binds to EGFR, which leads to the formation of signaling-competent 
# receptor dimers.  A dimer then can be transphoshorylated. 
# The cytosolic adapter proteins Grb2 and Shc are recruited to 
# phosphorylated dimer.  
# When Shc is bound to a dimer, it can be phosphorylated by EGFR. 
# The phosphorylated form of Shc interacts with Grb2, which 
# interacts constitutively with Sos.


begin parameters
EGF_tot          1.2e6
Rec_tot          1.8e5
Grb2_tot         1.0e5      
Shc_tot          2.7e5
SOS_tot          1.3e4   
Grb2_SOS_tot     4.9e4

kp1      1.667e-06 # ligand-monomer binding  (scaled)
km1           0.06 # ligand-monomer dissociation

kp2      5.556e-06 # aggregation of bound monomers (scaled)
km2            0.1 # dissociation of bound monomers

kp3            1  # dimer transphosphorylation   
km3            9  # dimer dephosphorylation        

kp14             6 # Shc transphosphorylation  
km14          0.06 # Shc dephosphorylation      

km16         0.005 # Shc cytosolic dephosphorylation     

kp9       1.666e-6  # binding of Grb2 to receptor     (scaled)
km9           0.05  # dissociation of Grb2 from receptor

kp10     5.556e-06 # binding of Sos to receptor    (scaled)
km10          0.06 # dissociation of Sos from receptor

kp11      2.5e-06 # binding of Grb2-Sos to receptor     (scaled)
km11          0.03 # diss. of Grb2-Sos from receptor

kp13       5e-05 # binding of Shc to  receptor    (scaled)
km13           0.6 # diss. of Shc from  receptor

kp15       5e-07 # binding of ShcP to  receptor     (scaled)
km15           0.3 # diss. of ShcP from  receptor

kp17     1.667e-06 # binding of Grb2 to RP-ShcP  (scaled)
km17           0.1 # diss. of Grb2 from RP-ShcP  

kp18       5e-07 # binding of ShcP-Grb2 to receptor    (scaled)
km18           0.3 # diss. of ShcP-Grb2 from  receptor

kp19     5.556e-06 # binding of Sos to RP-ShcP-Grb2  (scaled)
km19        0.0214 # diss. of Sos from RP-ShcP-Grb2 

kp20     1.333e-07 # binding of ShcP-Grb2-Sos to receptor    (scaled)
km20          0.12 # diss. of ShcP-Grb2-Sos from receptor

kp24         5e-06 # binding of Grb2-Sos to RP-ShcP    (scaled)
km24        0.0429 # diss. of Grb2-Sos from RP-ShcP

kp21     1.667e-06 # binding of ShcP to Grb2 in cytosol (scaled)
km21          0.01 # diss. of Grb2 and SchP in cytosol

kp23     1.167e-05 # binding of ShcP to Grb2-Sos in cytosol (scaled)
km23           0.1 # diss. of Grb2-Sos and SchP in cytosol

kp12     5.556e-08 # binding of Grb2 to Sos in cytosol (scaled)
km12        0.0015 # diss. of Grb2 and Sos in cytosol

kp22     1.667e-05 # binding of ShcP-Grb2 to Sos in cytosol (scaled)
km22         0.064 # diss. of ShcP-Grb2 and Sos in cytosol

loop1= (kp9/km9)*(kp10/km10)/((kp11/km11)*(kp12/km12))
loop2= (kp15/km15)*(kp17/km17)/((kp21/km21)*(kp18/km18))
loop3= (kp18/km18)*(kp19/km19)/((kp22/km22)*(kp20/km20))
loop4= (kp12/km12)*(kp23/km23)/((kp22/km22)*(kp21/km21))
loop5= (kp15/km15)*(kp24/km24)/((kp20/km20)*(kp23/km23))

#2. K15*K21/(K17*K18)=1
#3. K18*K22/(K19*K20)=1
#4. K12*K22*K21*K23=1
#5. K15/(K20*K23*K24)
end parameters

begin species
EGF                       0
Grb2                      Grb2_tot 
Grb2_Sos                  Grb2_SOS_tot 
Shc                       Shc_tot 
ShcP                      0        
ShcP_Grb2                 0        
ShcP_Grb2_Sos             0        
Sos                       SOS_tot  
R                         Rec_tot  
RA                        0        
R2                        0        
RP                        0        
R_Sh                      0        
R_ShP                     0        
R_Sh_G                    0        
R_Sh_G_S                  0        
R_G                       0        
R_G_S                     0        
end species

begin reaction rules
R      +  EGF            <->   RA                kp1,km1
RA     +  RA             <->   R2                kp2,km2
R2                       <->   RP                kp3,km3
RP     +  Grb2           <->   R_G               kp9,km9
R_G    +  Sos            <->   R_G_S             kp10,km10
RP     +  Grb2_Sos       <->   R_G_S             kp11,km11
RP     +  Shc            <->   R_Sh              kp13,km13
R_Sh                     <->   R_ShP             kp14,km14
RP     +  ShcP           <->   R_ShP             kp15,km15
R_ShP  +  Grb2           <->   R_Sh_G            kp17,km17
RP     +  ShcP_Grb2      <->   R_Sh_G            kp18,km18
R_Sh_G +  Sos            <->   R_Sh_G_S          kp19,km19
RP     +  ShcP_Grb2_Sos  <->   R_Sh_G_S          kp20,km20
R_ShP  +  Grb2_Sos       <->   R_Sh_G_S          kp24,km24
ShcP   +  Grb2           <->   ShcP_Grb2         kp21,km21
ShcP   +  Grb2_Sos       <->   ShcP_Grb2_Sos     kp23,km23
ShcP                      ->   Shc               km16
Grb2   +  Sos            <->   Grb2_Sos          kp12,km12
ShcP_Grb2 +  Sos         <->   ShcP_Grb2_Sos     kp22,km22
end reaction rules


#----------------------- Observables ----------- 

begin observables
Molecules  Dimers      R2 RP R_G  R_G_S R_Sh  R_ShP R_Sh_G  R_Sh_G_S R2 RP R_G  R_G_S R_Sh  R_ShP R_Sh_G  R_Sh_G_S 
Species  Sos_act       R_G_S     R_Sh_G_S
Species  RP            RP  R_G  R_G_S  R_Sh  R_ShP  R_Sh_G  R_Sh_G_S   
Species  Shc_Grb       R_Sh_G  R_Sh_G_S   ShcP_Grb2  ShcP_Grb2_Sos 
Species  Shc_Grb_Sos   R_Sh_G_S           ShcP_Grb2_Sos 
Species  R_Grb2        R_G  R_G_S  R_Sh_G   R_Sh_G_S 
Species  R_Shc         R_Sh
Species  R_ShcP        R_ShP  R_Sh_G  R_Sh_G_S
Species  Shc_P         R_ShP  R_Sh_G  R_Sh_G_S    ShcP   ShcP_Grb2  ShcP_Grb2_Sos 
Species  R_G_S         R_G_S 
Species  R_S_G_S       R_Sh_G_S
end observables

generate_network({overwrite=>1});
# Equilibration
simulate_ode({t_end=>100000,n_steps=>10,steady_state=>1});
setConcentration("EGF","EGF_tot");
writeSBML({});
# Kinetics
simulate_ode({t_end=>120,n_steps=>120});
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