[ Eq(Derivative(x1, t), (1*k31*x8*(1 - x1/(k32*x8))/(k33*(1 + x8/k33 + x1/k34)) + (-1)*k43*x1*(1 - x43/(k44*x1))/(k45*(1 + x1/k45 + x43/k46)))/k1),
  Eq(Derivative(x2, t), ((-1)*(x39*k88*x2 - x38*k88*x4) + 1*k158*x38/(k159*(1 + x38/k159)))/k1),
  Eq(Derivative(x3, t), ((-1)*k17*k18*x10*x3*(1 - x33*x5/(k21*x10*x3))/(k19*k20*(x33 + k18)*(k22/k20 + x10/k19 + x3/k20 + x5/k23 + x33*x5/(k23*k24) + x10*x3/(k19*k20))) + (-1)*k47*x26*x3*(1 - x6*x5/(k48*x26*x3))/(k49*k50*(1 + x26/k49 + x6/k51)*(1 + x3/k50 + x5/k52)) + 1*k53*x25*x5*(1 - k165*x3/(k54*x25*x5))/(k55*k56*(1 + x25/k55 + k165/k57)*(1 + x5/k56 + x3/k58)) + 1*(k85*x5**2 - x44*x3*k86) + 1*k124*x23*x5*(1 - x45*x3/(k125*x23*x5))/(k126*k127*(1 + x23/k126 + x45/k128)*(1 + x5/k127 + x3/k129)) + 1*k137*x39*x5*(1 - k167*x3/(k138*x39*x5))/(k139*k140*(1 + x39/k139 + k167/k141)*(1 + x5/k140 + x3/k142)))/k2),
  Eq(Derivative(x4, t), ((-1)*k4*x4*(1 - x34/(k5*x4))/(k6*(1 + x4/k6 + x34/k7)) + 1*(x39*k88*x2 - x38*k88*x4) + (-1)*k130*x4*x47*(1 - x39*x32/(k131*x4*x47))/(k132*k133*(1 + x4/k132 + x39/k134)*(1 + x47/k133 + x32/k135)) + 1*k143*x33*(1 - x34*x4/(x33*k148))/(k144*(1 + x3/k145 + x5/k146 + x44/k147)*(1 + x34/k149 + x4/k150 + x33/(k144*(1 + x3/k145 + x5/k146 + x44/k147)) + x34*x4/(k149*k150) + x33*x34/(k144*k151*(1 + x3/k145 + x5/k146 + x44/k147)))))/k2),
  Eq(Derivative(x5, t), (1*k17*k18*x10*x3*(1 - x33*x5/(k21*x10*x3))/(k19*k20*(x33 + k18)*(k22/k20 + x10/k19 + x3/k20 + x5/k23 + x33*x5/(k23*k24) + x10*x3/(k19*k20))) + 1*k47*x26*x3*(1 - x6*x5/(k48*x26*x3))/(k49*k50*(1 + x26/k49 + x6/k51)*(1 + x3/k50 + x5/k52)) + (-1)*k53*x25*x5*(1 - k165*x3/(k54*x25*x5))/(k55*k56*(1 + x25/k55 + k165/k57)*(1 + x5/k56 + x3/k58)) + (-2)*(k85*x5**2 - x44*x3*k86) + (-1)*k124*x23*x5*(1 - x45*x3/(k125*x23*x5))/(k126*k127*(1 + x23/k126 + x45/k128)*(1 + x5/k127 + x3/k129)) + (-1)*k137*x39*x5*(1 - k167*x3/(k138*x39*x5))/(k139*k140*(1 + x39/k139 + k167/k141)*(1 + x5/k140 + x3/k142)))/k2),
  Eq(Derivative(x6, t), ((-1)*k25*x6*x15*(1 - x42*x28/(k26*x6*x15))/(k27*k28*(1 + x6/k27 + x42/k29)*(1 + x15/k28 + x28/k30)) + 1*k47*x26*x3*(1 - x6*x5/(k48*x26*x3))/(k49*k50*(1 + x26/k49 + x6/k51)*(1 + x3/k50 + x5/k52)) + (-1)*k80*x6*(1 - x10/(k82*x6))/(k81*(1 + x6/k81 + x10/k83 + x16/k84)))/k2),
  Eq(Derivative(x7, t), ((-1)*k8*x7*(1 - x30*x14/(k14*x43*x7))*(x43/(k9*(1 + x7/k11 + x14/k10)))**k12/(k13*(1 + (x43/(k9*(1 + x7/k11 + x14/k10)))**k12 + x30/k15)*(1 + x7/k13 + x14/k16)) + 1*k61*x24*x14*(1 - x21*x7/(k62*x24*x14))/(k63*k64*(1 + x24/k63 + x21/k65)*(1 + x14/k64 + x7/k66)) + (-2)*(k68*x7**2 - x46*x14*k69) + 1*k136*x14/x7)/k1),
  Eq(Derivative(x8, t), ((-1)*k31*x8*(1 - x1/(k32*x8))/(k33*(1 + x8/k33 + x1/k34)) + 1*(k59*x45 - k59*x8))/k1),
  Eq(Derivative(x9, t), (1*k37*x21*x13*(1 - x40*x9/(k38*x21*x13))/(k39*k40*(1 + x21/k39 + x40/k41)*(1 + x13/k40 + x9/k42)) + (-1)*k60*x9 + 1*k94*x19*x13*(1 - x18*x9/(k95*x19*x13))/(k96*k97*(1 + x19/k96 + x18/k98)*(1 + x13/k97 + x9/k99)) + (-1)*k118*x41*x9*(1 - x36*x13/(k119*x41*x9))/(k120*k121*(1 + x41/k120 + x36/k122)*(1 + x9/k121 + x13/k123)))/k1),
  Eq(Derivative(x10, t), ((-1)*k17*k18*x10*x3*(1 - x33*x5/(k21*x10*x3))/(k19*k20*(x33 + k18)*(k22/k20 + x10/k19 + x3/k20 + x5/k23 + x33*x5/(k23*k24) + x10*x3/(k19*k20))) + 1*k80*x6*(1 - x10/(k82*x6))/(k81*(1 + x6/k81 + x10/k83 + x16/k84)))/k2),
  Eq(Derivative(x11, t), 0),
  Eq(Derivative(x12, t), 0),
  Eq(Derivative(x13, t), ((-1)*k37*x21*x13*(1 - x40*x9/(k38*x21*x13))/(k39*k40*(1 + x21/k39 + x40/k41)*(1 + x13/k40 + x9/k42)) + 1*k60*x9 + (-1)*k94*x19*x13*(1 - x18*x9/(k95*x19*x13))/(k96*k97*(1 + x19/k96 + x18/k98)*(1 + x13/k97 + x9/k99)) + 1*k118*x41*x9*(1 - x36*x13/(k119*x41*x9))/(k120*k121*(1 + x41/k120 + x36/k122)*(1 + x9/k121 + x13/k123)))/k1),
  Eq(Derivative(x14, t), (1*k8*x7*(1 - x30*x14/(k14*x43*x7))*(x43/(k9*(1 + x7/k11 + x14/k10)))**k12/(k13*(1 + (x43/(k9*(1 + x7/k11 + x14/k10)))**k12 + x30/k15)*(1 + x7/k13 + x14/k16)) + (-1)*k61*x24*x14*(1 - x21*x7/(k62*x24*x14))/(k63*k64*(1 + x24/k63 + x21/k65)*(1 + x14/k64 + x7/k66)) + 1*(k68*x7**2 - x46*x14*k69) + (-1)*k136*x14/x7)/k1),
  Eq(Derivative(x15, t), ((-1)*k25*x6*x15*(1 - x42*x28/(k26*x6*x15))/(k27*k28*(1 + x6/k27 + x42/k29)*(1 + x15/k28 + x28/k30)) + 1*k67*x28 + (-1)*k74*x16*x15*(1 - x20*x28/(k75*x16*x15))/(k76*k77*(1 + x16/k76 + x20/k78)*(1 + x15/k77 + x28/k79)))/k2),
  Eq(Derivative(x16, t), ((-1)*k74*x16*x15*(1 - x20*x28/(k75*x16*x15))/(k76*k77*(1 + x16/k76 + x20/k78)*(1 + x15/k77 + x28/k79)) + 1*(k2*k117*(x42 - x16/k114) + k113*x42*(1 - x16/(k114*x42))/(k115*(1 + x42/k115 + x16/k116))))/k2),
  Eq(Derivative(x17, t), 0),
  Eq(Derivative(x18, t), (1*k94*x19*x13*(1 - x18*x9/(k95*x19*x13))/(k96*k97*(1 + x19/k96 + x18/k98)*(1 + x13/k97 + x9/k99)) + (-1)*k100*x18*(1 - k163/(k101*x18))/(k102*(1 + x18/k102 + k163/k103)))/k1),
  Eq(Derivative(x19, t), (1*(k93*k1*(x40 - x19/k90) + k89*x40*(1 - x19/(k90*x40))/(k91*(1 + x40/k91 + x19/k92))) + (-1)*k94*x19*x13*(1 - x18*x9/(k95*x19*x13))/(k96*k97*(1 + x19/k96 + x18/k98)*(1 + x13/k97 + x9/k99)))/k1),
  Eq(Derivative(x20, t), (1*k74*x16*x15*(1 - x20*x28/(k75*x16*x15))/(k76*k77*(1 + x16/k76 + x20/k78)*(1 + x15/k77 + x28/k79)) + (-1)*k104*x20*(1 - x25/(k105*x20))/(k106*(1 + x20/k106 + x25/k107)))/k2),
  Eq(Derivative(x21, t), ((-1)*k37*x21*x13*(1 - x40*x9/(k38*x21*x13))/(k39*k40*(1 + x21/k39 + x40/k41)*(1 + x13/k40 + x9/k42)) + 1*k61*x24*x14*(1 - x21*x7/(k62*x24*x14))/(k63*k64*(1 + x24/k63 + x21/k65)*(1 + x14/k64 + x7/k66)) + (-1)*k70*x21*(1 - x24/(k71*x21))/(k72*(1 + x21/k72 + x24/k73)))/k1),
  Eq(Derivative(x22, t), 0),
  Eq(Derivative(x23, t), ((-1)*k124*x23*x5*(1 - x45*x3/(k125*x23*x5))/(k126*k127*(1 + x23/k126 + x45/k128)*(1 + x5/k127 + x3/k129)) + 1*k152*x34*x32*(1 - x23*x47/(k153*x34*x32))/(k154*k155*(1 + x34/k154 + x23/k156)*(1 + x32/k155 + x47/k157)))/k2),
  Eq(Derivative(x24, t), ((-1)*k61*x24*x14*(1 - x21*x7/(k62*x24*x14))/(k63*k64*(1 + x24/k63 + x21/k65)*(1 + x14/k64 + x7/k66)) + 1*k70*x21*(1 - x24/(k71*x21))/(k72*(1 + x21/k72 + x24/k73)) + (-1)*(k108*x24 - k109*x26) + 1*k110*(k164 - x24)/(k111 + k164 + x24 + k112*k164*x24/k111))/k1),
  Eq(Derivative(x25, t), ((-1)*k53*x25*x5*(1 - k165*x3/(k54*x25*x5))/(k55*k56*(1 + x25/k55 + k165/k57)*(1 + x5/k56 + x3/k58)) + 1*k104*x20*(1 - x25/(k105*x20))/(k106*(1 + x20/k106 + x25/k107)))/k2),
  Eq(Derivative(x26, t), ((-1)*k47*x26*x3*(1 - x6*x5/(k48*x26*x3))/(k49*k50*(1 + x26/k49 + x6/k51)*(1 + x3/k50 + x5/k52)) + 1*(k108*x24 - k109*x26))/k2),
  Eq(Derivative(x27, t), 0),
  Eq(Derivative(x28, t), (1*k25*x6*x15*(1 - x42*x28/(k26*x6*x15))/(k27*k28*(1 + x6/k27 + x42/k29)*(1 + x15/k28 + x28/k30)) + (-1)*k67*x28 + 1*k74*x16*x15*(1 - x20*x28/(k75*x16*x15))/(k76*k77*(1 + x16/k76 + x20/k78)*(1 + x15/k77 + x28/k79)))/k2),
  Eq(Derivative(x29, t), 0),
  Eq(Derivative(x30, t), (1*k8*x7*(1 - x30*x14/(k14*x43*x7))*(x43/(k9*(1 + x7/k11 + x14/k10)))**k12/(k13*(1 + (x43/(k9*(1 + x7/k11 + x14/k10)))**k12 + x30/k15)*(1 + x7/k13 + x14/k16)) + (-1)*k35*x30/(k36*(1 + x30/k36)))/k1),
  Eq(Derivative(x31, t), 0),
  Eq(Derivative(x32, t), (1*k130*x4*x47*(1 - x39*x32/(k131*x4*x47))/(k132*k133*(1 + x4/k132 + x39/k134)*(1 + x47/k133 + x32/k135)) + (-1)*k152*x34*x32*(1 - x23*x47/(k153*x34*x32))/(k154*k155*(1 + x34/k154 + x23/k156)*(1 + x32/k155 + x47/k157)))/k2),
  Eq(Derivative(x33, t), (1*k17*k18*x10*x3*(1 - x33*x5/(k21*x10*x3))/(k19*k20*(x33 + k18)*(k22/k20 + x10/k19 + x3/k20 + x5/k23 + x33*x5/(k23*k24) + x10*x3/(k19*k20))) + (-1)*k143*x33*(1 - x34*x4/(x33*k148))/(k144*(1 + x3/k145 + x5/k146 + x44/k147)*(1 + x34/k149 + x4/k150 + x33/(k144*(1 + x3/k145 + x5/k146 + x44/k147)) + x34*x4/(k149*k150) + x33*x34/(k144*k151*(1 + x3/k145 + x5/k146 + x44/k147)))))/k2),
  Eq(Derivative(x34, t), (1*k4*x4*(1 - x34/(k5*x4))/(k6*(1 + x4/k6 + x34/k7)) + 1*k143*x33*(1 - x34*x4/(x33*k148))/(k144*(1 + x3/k145 + x5/k146 + x44/k147)*(1 + x34/k149 + x4/k150 + x33/(k144*(1 + x3/k145 + x5/k146 + x44/k147)) + x34*x4/(k149*k150) + x33*x34/(k144*k151*(1 + x3/k145 + x5/k146 + x44/k147)))) + (-1)*k152*x34*x32*(1 - x23*x47/(k153*x34*x32))/(k154*k155*(1 + x34/k154 + x23/k156)*(1 + x32/k155 + x47/k157)))/k2),
  Eq(Derivative(x35, t), 0),
  Eq(Derivative(x36, t), ((-1)*k87*x36 + 1*k118*x41*x9*(1 - x36*x13/(k119*x41*x9))/(k120*k121*(1 + x41/k120 + x36/k122)*(1 + x9/k121 + x13/k123)))/k1),
  Eq(Derivative(x37, t), 0),
  Eq(Derivative(x38, t), (1*(x39*k88*x2 - x38*k88*x4) + (-1)*k158*x38/(k159*(1 + x38/k159)))/k1),
  Eq(Derivative(x39, t), ((-1)*(x39*k88*x2 - x38*k88*x4) + 1*k130*x4*x47*(1 - x39*x32/(k131*x4*x47))/(k132*k133*(1 + x4/k132 + x39/k134)*(1 + x47/k133 + x32/k135)) + (-1)*k137*x39*x5*(1 - k167*x3/(k138*x39*x5))/(k139*k140*(1 + x39/k139 + k167/k141)*(1 + x5/k140 + x3/k142)))/k2),
  Eq(Derivative(x40, t), (1*k37*x21*x13*(1 - x40*x9/(k38*x21*x13))/(k39*k40*(1 + x21/k39 + x40/k41)*(1 + x13/k40 + x9/k42)) + (-1)*(k93*k1*(x40 - x19/k90) + k89*x40*(1 - x19/(k90*x40))/(k91*(1 + x40/k91 + x19/k92))))/k1),
  Eq(Derivative(x41, t), (1*k87*x36 + (-1)*k118*x41*x9*(1 - x36*x13/(k119*x41*x9))/(k120*k121*(1 + x41/k120 + x36/k122)*(1 + x9/k121 + x13/k123)))/k1),
  Eq(Derivative(x42, t), (1*k25*x6*x15*(1 - x42*x28/(k26*x6*x15))/(k27*k28*(1 + x6/k27 + x42/k29)*(1 + x15/k28 + x28/k30)) + (-1)*(k2*k117*(x42 - x16/k114) + k113*x42*(1 - x16/(k114*x42))/(k115*(1 + x42/k115 + x16/k116))))/k2),
  Eq(Derivative(x43, t), ((-1)*k8*x7*(1 - x30*x14/(k14*x43*x7))*(x43/(k9*(1 + x7/k11 + x14/k10)))**k12/(k13*(1 + (x43/(k9*(1 + x7/k11 + x14/k10)))**k12 + x30/k15)*(1 + x7/k13 + x14/k16)) + 1*k43*x1*(1 - x43/(k44*x1))/(k45*(1 + x1/k45 + x43/k46)))/k1),
  Eq(Derivative(x44, t), 1*(k85*x5**2 - x44*x3*k86)/k2),
  Eq(Derivative(x45, t), ((-1)*(k59*x45 - k59*x8) + 1*k124*x23*x5*(1 - x45*x3/(k125*x23*x5))/(k126*k127*(1 + x23/k126 + x45/k128)*(1 + x5/k127 + x3/k129)))/k2),
  Eq(Derivative(x46, t), 1*(k68*x7**2 - x46*x14*k69)/k1),
  Eq(Derivative(x47, t), ((-1)*k130*x4*x47*(1 - x39*x32/(k131*x4*x47))/(k132*k133*(1 + x4/k132 + x39/k134)*(1 + x47/k133 + x32/k135)) + 1*k152*x34*x32*(1 - x23*x47/(k153*x34*x32))/(k154*k155*(1 + x34/k154 + x23/k156)*(1 + x32/k155 + x47/k157)))/k2) ]