[ Eq(Derivative(x1, t), (1*k31*x9*(1 - x1/(k32*x9))/(k33*(1 + x9/k33 + x1/k34)) + (-1)*k43*x1*(1 - x42/(k44*x1))/(k45*(1 + x1/k45 + x42/k46)))/k1),
  Eq(Derivative(x2, t), (1*k8*x8*(1 - x29*x2/(k14*x42*x8))*(x42/(k9*(1 + x8/k11 + x2/k10)))**k12/(k13*(1 + (x42/(k9*(1 + x8/k11 + x2/k10)))**k12 + x29/k15)*(1 + x8/k13 + x2/k16)) + (-1)*k55*x23*x2*(1 - x20*x8/(k56*x23*x2))/(k57*k58*(1 + x23/k57 + x20/k59)*(1 + x2/k58 + x8/k60)) + 1*(k62*x8**2 - x45*x2*k63) + (-1)*k83*x6*x2*(1 - x8*x4/(k84*x6*x2))/(k85*k86*(1 + x6/k85 + x8/k85)*(1 + x2/k86 + x4/k86)) + (-1)*k134*x2/x8)/k1),
  Eq(Derivative(x3, t), ((-1)*(x38*k82*x3 - x37*k82*x5) + 1*k156*x37/(k157*(1 + x37/k157)))/k1),
  Eq(Derivative(x4, t), ((-1)*k17*k18*x10*x4*(1 - x32*x6/(k21*x10*x4))/(k19*k20*(x32 + k18)*(k22/k20 + x10/k19 + x4/k20 + x6/k23 + x32*x6/(k23*k24) + x10*x4/(k19*k20))) + (-1)*k47*x25*x4*(1 - x7*x6/(k48*x25*x4))/(k49*k50*(1 + x25/k49 + x7/k51)*(1 + x4/k50 + x6/k52)) + 1*(k79*x6**2 - x43*x4*k80) + 1*k83*x6*x2*(1 - x8*x4/(k84*x6*x2))/(k85*k86*(1 + x6/k85 + x8/k85)*(1 + x2/k86 + x4/k86)) + 1*k122*x22*x6*(1 - x44*x4/(k123*x22*x6))/(k124*k125*(1 + x22/k124 + x44/k126)*(1 + x6/k125 + x4/k127)) + 1*k135*x38*x6*(1 - k165*x4/(k136*x38*x6))/(k137*k138*(1 + x38/k137 + k165/k139)*(1 + x6/k138 + x4/k140)))/k2),
  Eq(Derivative(x5, t), ((-1)*k4*x5*(1 - x33/(k5*x5))/(k6*(1 + x5/k6 + x33/k7)) + 1*(x38*k82*x3 - x37*k82*x5) + (-1)*k128*x5*x46*(1 - x38*x31/(k129*x5*x46))/(k130*k131*(1 + x5/k130 + x38/k132)*(1 + x46/k131 + x31/k133)) + 1*k141*x32*(1 - x33*x5/(x32*k146))/(k142*(1 + x4/k143 + x6/k144 + x43/k145)*(1 + x33/k147 + x5/k148 + x32/(k142*(1 + x4/k143 + x6/k144 + x43/k145)) + x33*x5/(k147*k148) + x32*x33/(k142*k149*(1 + x4/k143 + x6/k144 + x43/k145)))))/k2),
  Eq(Derivative(x6, t), (1*k17*k18*x10*x4*(1 - x32*x6/(k21*x10*x4))/(k19*k20*(x32 + k18)*(k22/k20 + x10/k19 + x4/k20 + x6/k23 + x32*x6/(k23*k24) + x10*x4/(k19*k20))) + 1*k47*x25*x4*(1 - x7*x6/(k48*x25*x4))/(k49*k50*(1 + x25/k49 + x7/k51)*(1 + x4/k50 + x6/k52)) + (-2)*(k79*x6**2 - x43*x4*k80) + (-1)*k83*x6*x2*(1 - x8*x4/(k84*x6*x2))/(k85*k86*(1 + x6/k85 + x8/k85)*(1 + x2/k86 + x4/k86)) + (-1)*k122*x22*x6*(1 - x44*x4/(k123*x22*x6))/(k124*k125*(1 + x22/k124 + x44/k126)*(1 + x6/k125 + x4/k127)) + (-1)*k135*x38*x6*(1 - k165*x4/(k136*x38*x6))/(k137*k138*(1 + x38/k137 + k165/k139)*(1 + x6/k138 + x4/k140)))/k2),
  Eq(Derivative(x7, t), ((-1)*k25*x7*x14*(1 - x41*x27/(k26*x7*x14))/(k27*k28*(1 + x7/k27 + x41/k29)*(1 + x14/k28 + x27/k30)) + 1*k47*x25*x4*(1 - x7*x6/(k48*x25*x4))/(k49*k50*(1 + x25/k49 + x7/k51)*(1 + x4/k50 + x6/k52)) + (-1)*k74*x7*(1 - x10/(k76*x7))/(k75*(1 + x7/k75 + x10/k77 + x15/k78)))/k2),
  Eq(Derivative(x8, t), ((-1)*k8*x8*(1 - x29*x2/(k14*x42*x8))*(x42/(k9*(1 + x8/k11 + x2/k10)))**k12/(k13*(1 + (x42/(k9*(1 + x8/k11 + x2/k10)))**k12 + x29/k15)*(1 + x8/k13 + x2/k16)) + 1*k55*x23*x2*(1 - x20*x8/(k56*x23*x2))/(k57*k58*(1 + x23/k57 + x20/k59)*(1 + x2/k58 + x8/k60)) + (-2)*(k62*x8**2 - x45*x2*k63) + 1*k83*x6*x2*(1 - x8*x4/(k84*x6*x2))/(k85*k86*(1 + x6/k85 + x8/k85)*(1 + x2/k86 + x4/k86)) + 1*k134*x2/x8)/k1),
  Eq(Derivative(x9, t), ((-1)*k31*x9*(1 - x1/(k32*x9))/(k33*(1 + x9/k33 + x1/k34)) + 1*(k53*x44 - k53*x9))/k1),
  Eq(Derivative(x10, t), ((-1)*k17*k18*x10*x4*(1 - x32*x6/(k21*x10*x4))/(k19*k20*(x32 + k18)*(k22/k20 + x10/k19 + x4/k20 + x6/k23 + x32*x6/(k23*k24) + x10*x4/(k19*k20))) + 1*k74*x7*(1 - x10/(k76*x7))/(k75*(1 + x7/k75 + x10/k77 + x15/k78)))/k2),
  Eq(Derivative(x11, t), 0),
  Eq(Derivative(x12, t), 0),
  Eq(Derivative(x13, t), ((-1)*k37*x20*x13*(1 - x39*x28/(k38*x20*x13))/(k39*k40*(1 + x20/k39 + x39/k41)*(1 + x13/k40 + x28/k42)) + 1*k54*x28 + (-1)*k92*x18*x13*(1 - x17*x28/(k93*x18*x13))/(k94*k95*(1 + x18/k94 + x17/k96)*(1 + x13/k95 + x28/k97)) + 1*k116*x40*x28*(1 - x35*x13/(k117*x40*x28))/(k118*k119*(1 + x40/k118 + x35/k120)*(1 + x28/k119 + x13/k121)))/k1),
  Eq(Derivative(x14, t), ((-1)*k25*x7*x14*(1 - x41*x27/(k26*x7*x14))/(k27*k28*(1 + x7/k27 + x41/k29)*(1 + x14/k28 + x27/k30)) + 1*k61*x27 + (-1)*k68*x15*x14*(1 - x19*x27/(k69*x15*x14))/(k70*k71*(1 + x15/k70 + x19/k72)*(1 + x14/k71 + x27/k73)))/k2),
  Eq(Derivative(x15, t), ((-1)*k68*x15*x14*(1 - x19*x27/(k69*x15*x14))/(k70*k71*(1 + x15/k70 + x19/k72)*(1 + x14/k71 + x27/k73)) + 1*(k2*k115*(x41 - x15/k112) + k111*x41*(1 - x15/(k112*x41))/(k113*(1 + x41/k113 + x15/k114))))/k2),
  Eq(Derivative(x16, t), 0),
  Eq(Derivative(x17, t), (1*k92*x18*x13*(1 - x17*x28/(k93*x18*x13))/(k94*k95*(1 + x18/k94 + x17/k96)*(1 + x13/k95 + x28/k97)) + (-1)*k98*x17*(1 - k161/(k99*x17))/(k100*(1 + x17/k100 + k161/k101)))/k1),
  Eq(Derivative(x18, t), (1*(k91*k1*(x39 - x18/k88) + k87*x39*(1 - x18/(k88*x39))/(k89*(1 + x39/k89 + x18/k90))) + (-1)*k92*x18*x13*(1 - x17*x28/(k93*x18*x13))/(k94*k95*(1 + x18/k94 + x17/k96)*(1 + x13/k95 + x28/k97)))/k1),
  Eq(Derivative(x19, t), (1*k68*x15*x14*(1 - x19*x27/(k69*x15*x14))/(k70*k71*(1 + x15/k70 + x19/k72)*(1 + x14/k71 + x27/k73)) + (-1)*k102*x19*(1 - k162/(k103*x19))/(k104*(1 + x19/k104 + k162/k105)))/k2),
  Eq(Derivative(x20, t), ((-1)*k37*x20*x13*(1 - x39*x28/(k38*x20*x13))/(k39*k40*(1 + x20/k39 + x39/k41)*(1 + x13/k40 + x28/k42)) + 1*k55*x23*x2*(1 - x20*x8/(k56*x23*x2))/(k57*k58*(1 + x23/k57 + x20/k59)*(1 + x2/k58 + x8/k60)) + (-1)*k64*x20*(1 - x23/(k65*x20))/(k66*(1 + x20/k66 + x23/k67)))/k1),
  Eq(Derivative(x21, t), 0),
  Eq(Derivative(x22, t), ((-1)*k122*x22*x6*(1 - x44*x4/(k123*x22*x6))/(k124*k125*(1 + x22/k124 + x44/k126)*(1 + x6/k125 + x4/k127)) + 1*k150*x33*x31*(1 - x22*x46/(k151*x33*x31))/(k152*k153*(1 + x33/k152 + x22/k154)*(1 + x31/k153 + x46/k155)))/k2),
  Eq(Derivative(x23, t), ((-1)*k55*x23*x2*(1 - x20*x8/(k56*x23*x2))/(k57*k58*(1 + x23/k57 + x20/k59)*(1 + x2/k58 + x8/k60)) + 1*k64*x20*(1 - x23/(k65*x20))/(k66*(1 + x20/k66 + x23/k67)) + (-1)*(k106*x23 - k107*x25) + 1*k108*(k163 - x23)/(k109 + k163 + x23 + k110*k163*x23/k109))/k1),
  Eq(Derivative(x24, t), 0),
  Eq(Derivative(x25, t), ((-1)*k47*x25*x4*(1 - x7*x6/(k48*x25*x4))/(k49*k50*(1 + x25/k49 + x7/k51)*(1 + x4/k50 + x6/k52)) + 1*(k106*x23 - k107*x25))/k2),
  Eq(Derivative(x26, t), 0),
  Eq(Derivative(x27, t), (1*k25*x7*x14*(1 - x41*x27/(k26*x7*x14))/(k27*k28*(1 + x7/k27 + x41/k29)*(1 + x14/k28 + x27/k30)) + (-1)*k61*x27 + 1*k68*x15*x14*(1 - x19*x27/(k69*x15*x14))/(k70*k71*(1 + x15/k70 + x19/k72)*(1 + x14/k71 + x27/k73)))/k2),
  Eq(Derivative(x28, t), (1*k37*x20*x13*(1 - x39*x28/(k38*x20*x13))/(k39*k40*(1 + x20/k39 + x39/k41)*(1 + x13/k40 + x28/k42)) + (-1)*k54*x28 + 1*k92*x18*x13*(1 - x17*x28/(k93*x18*x13))/(k94*k95*(1 + x18/k94 + x17/k96)*(1 + x13/k95 + x28/k97)) + (-1)*k116*x40*x28*(1 - x35*x13/(k117*x40*x28))/(k118*k119*(1 + x40/k118 + x35/k120)*(1 + x28/k119 + x13/k121)))/k1),
  Eq(Derivative(x29, t), (1*k8*x8*(1 - x29*x2/(k14*x42*x8))*(x42/(k9*(1 + x8/k11 + x2/k10)))**k12/(k13*(1 + (x42/(k9*(1 + x8/k11 + x2/k10)))**k12 + x29/k15)*(1 + x8/k13 + x2/k16)) + (-1)*k35*x29/(k36*(1 + x29/k36)))/k1),
  Eq(Derivative(x30, t), 0),
  Eq(Derivative(x31, t), (1*k128*x5*x46*(1 - x38*x31/(k129*x5*x46))/(k130*k131*(1 + x5/k130 + x38/k132)*(1 + x46/k131 + x31/k133)) + (-1)*k150*x33*x31*(1 - x22*x46/(k151*x33*x31))/(k152*k153*(1 + x33/k152 + x22/k154)*(1 + x31/k153 + x46/k155)))/k2),
  Eq(Derivative(x32, t), (1*k17*k18*x10*x4*(1 - x32*x6/(k21*x10*x4))/(k19*k20*(x32 + k18)*(k22/k20 + x10/k19 + x4/k20 + x6/k23 + x32*x6/(k23*k24) + x10*x4/(k19*k20))) + (-1)*k141*x32*(1 - x33*x5/(x32*k146))/(k142*(1 + x4/k143 + x6/k144 + x43/k145)*(1 + x33/k147 + x5/k148 + x32/(k142*(1 + x4/k143 + x6/k144 + x43/k145)) + x33*x5/(k147*k148) + x32*x33/(k142*k149*(1 + x4/k143 + x6/k144 + x43/k145)))))/k2),
  Eq(Derivative(x33, t), (1*k4*x5*(1 - x33/(k5*x5))/(k6*(1 + x5/k6 + x33/k7)) + 1*k141*x32*(1 - x33*x5/(x32*k146))/(k142*(1 + x4/k143 + x6/k144 + x43/k145)*(1 + x33/k147 + x5/k148 + x32/(k142*(1 + x4/k143 + x6/k144 + x43/k145)) + x33*x5/(k147*k148) + x32*x33/(k142*k149*(1 + x4/k143 + x6/k144 + x43/k145)))) + (-1)*k150*x33*x31*(1 - x22*x46/(k151*x33*x31))/(k152*k153*(1 + x33/k152 + x22/k154)*(1 + x31/k153 + x46/k155)))/k2),
  Eq(Derivative(x34, t), 0),
  Eq(Derivative(x35, t), ((-1)*k81*x35 + 1*k116*x40*x28*(1 - x35*x13/(k117*x40*x28))/(k118*k119*(1 + x40/k118 + x35/k120)*(1 + x28/k119 + x13/k121)))/k1),
  Eq(Derivative(x36, t), 0),
  Eq(Derivative(x37, t), (1*(x38*k82*x3 - x37*k82*x5) + (-1)*k156*x37/(k157*(1 + x37/k157)))/k1),
  Eq(Derivative(x38, t), ((-1)*(x38*k82*x3 - x37*k82*x5) + 1*k128*x5*x46*(1 - x38*x31/(k129*x5*x46))/(k130*k131*(1 + x5/k130 + x38/k132)*(1 + x46/k131 + x31/k133)) + (-1)*k135*x38*x6*(1 - k165*x4/(k136*x38*x6))/(k137*k138*(1 + x38/k137 + k165/k139)*(1 + x6/k138 + x4/k140)))/k2),
  Eq(Derivative(x39, t), (1*k37*x20*x13*(1 - x39*x28/(k38*x20*x13))/(k39*k40*(1 + x20/k39 + x39/k41)*(1 + x13/k40 + x28/k42)) + (-1)*(k91*k1*(x39 - x18/k88) + k87*x39*(1 - x18/(k88*x39))/(k89*(1 + x39/k89 + x18/k90))))/k1),
  Eq(Derivative(x40, t), (1*k81*x35 + (-1)*k116*x40*x28*(1 - x35*x13/(k117*x40*x28))/(k118*k119*(1 + x40/k118 + x35/k120)*(1 + x28/k119 + x13/k121)))/k1),
  Eq(Derivative(x41, t), (1*k25*x7*x14*(1 - x41*x27/(k26*x7*x14))/(k27*k28*(1 + x7/k27 + x41/k29)*(1 + x14/k28 + x27/k30)) + (-1)*(k2*k115*(x41 - x15/k112) + k111*x41*(1 - x15/(k112*x41))/(k113*(1 + x41/k113 + x15/k114))))/k2),
  Eq(Derivative(x42, t), ((-1)*k8*x8*(1 - x29*x2/(k14*x42*x8))*(x42/(k9*(1 + x8/k11 + x2/k10)))**k12/(k13*(1 + (x42/(k9*(1 + x8/k11 + x2/k10)))**k12 + x29/k15)*(1 + x8/k13 + x2/k16)) + 1*k43*x1*(1 - x42/(k44*x1))/(k45*(1 + x1/k45 + x42/k46)))/k1),
  Eq(Derivative(x43, t), 1*(k79*x6**2 - x43*x4*k80)/k2),
  Eq(Derivative(x44, t), ((-1)*(k53*x44 - k53*x9) + 1*k122*x22*x6*(1 - x44*x4/(k123*x22*x6))/(k124*k125*(1 + x22/k124 + x44/k126)*(1 + x6/k125 + x4/k127)))/k2),
  Eq(Derivative(x45, t), 1*(k62*x8**2 - x45*x2*k63)/k1),
  Eq(Derivative(x46, t), ((-1)*k128*x5*x46*(1 - x38*x31/(k129*x5*x46))/(k130*k131*(1 + x5/k130 + x38/k132)*(1 + x46/k131 + x31/k133)) + 1*k150*x33*x31*(1 - x22*x46/(k151*x33*x31))/(k152*k153*(1 + x33/k152 + x22/k154)*(1 + x31/k153 + x46/k155)))/k2) ]