{ diff(x1, t) = (1*k31*x8*(1 - x1/(k32*x8))/(k33*(1 + x8/k33 + x1/k34)) + (-1)*k43*x1*(1 - x42/(k44*x1))/(k45*(1 + x1/k45 + x42/k46)))/k1,
  diff(x2, t) = ((-1)*(x38*k82*x2 - x37*k82*x4) + 1*k152*x37/(k153*(1 + x37/k153)))/k1,
  diff(x3, t) = ((-1)*k17*k18*x9*x3*(1 - x32*x5/(k21*x9*x3))/(k19*k20*(x32 + k18)*(k22/k20 + x9/k19 + x3/k20 + x5/k23 + x32*x5/(k23*k24) + x9*x3/(k19*k20))) + (-1)*k47*x25*x3*(1 - x6*x5/(k48*x25*x3))/(k49*k50*(1 + x25/k49 + x6/k51)*(1 + x3/k50 + x5/k52)) + 1*(k79*x5^2 - x43*x3*k80) + 1*k118*x22*x5*(1 - x44*x3/(k119*x22*x5))/(k120*k121*(1 + x22/k120 + x44/k122)*(1 + x5/k121 + x3/k123)) + 1*k131*x38*x5*(1 - k161*x3/(k132*x38*x5))/(k133*k134*(1 + x38/k133 + k161/k135)*(1 + x5/k134 + x3/k136)))/k2,
  diff(x4, t) = ((-1)*k4*x4*(1 - x33/(k5*x4))/(k6*(1 + x4/k6 + x33/k7)) + 1*(x38*k82*x2 - x37*k82*x4) + (-1)*k124*x4*x46*(1 - x38*x31/(k125*x4*x46))/(k126*k127*(1 + x4/k126 + x38/k128)*(1 + x46/k127 + x31/k129)) + 1*k137*x32*(1 - x33*x4/(x32*k142))/(k138*(1 + x3/k139 + x5/k140 + x43/k141)*(1 + x33/k143 + x4/k144 + x32/(k138*(1 + x3/k139 + x5/k140 + x43/k141)) + x33*x4/(k143*k144) + x32*x33/(k138*k145*(1 + x3/k139 + x5/k140 + x43/k141)))))/k2,
  diff(x5, t) = (1*k17*k18*x9*x3*(1 - x32*x5/(k21*x9*x3))/(k19*k20*(x32 + k18)*(k22/k20 + x9/k19 + x3/k20 + x5/k23 + x32*x5/(k23*k24) + x9*x3/(k19*k20))) + 1*k47*x25*x3*(1 - x6*x5/(k48*x25*x3))/(k49*k50*(1 + x25/k49 + x6/k51)*(1 + x3/k50 + x5/k52)) + (-2)*(k79*x5^2 - x43*x3*k80) + (-1)*k118*x22*x5*(1 - x44*x3/(k119*x22*x5))/(k120*k121*(1 + x22/k120 + x44/k122)*(1 + x5/k121 + x3/k123)) + (-1)*k131*x38*x5*(1 - k161*x3/(k132*x38*x5))/(k133*k134*(1 + x38/k133 + k161/k135)*(1 + x5/k134 + x3/k136)))/k2,
  diff(x6, t) = ((-1)*k25*x6*x14*(1 - x41*x27/(k26*x6*x14))/(k27*k28*(1 + x6/k27 + x41/k29)*(1 + x14/k28 + x27/k30)) + 1*k47*x25*x3*(1 - x6*x5/(k48*x25*x3))/(k49*k50*(1 + x25/k49 + x6/k51)*(1 + x3/k50 + x5/k52)) + (-1)*k74*x6*(1 - x9/(k76*x6))/(k75*(1 + x6/k75 + x9/k77 + x15/k78)))/k2,
  diff(x7, t) = ((-1)*k8*x7*(1 - x29*x13/(k14*x42*x7))*(x42/(k9*(1 + x7/k11 + x13/k10)))^k12/(k13*(1 + (x42/(k9*(1 + x7/k11 + x13/k10)))^k12 + x29/k15)*(1 + x7/k13 + x13/k16)) + 1*k55*x23*x13*(1 - x20*x7/(k56*x23*x13))/(k57*k58*(1 + x23/k57 + x20/k59)*(1 + x13/k58 + x7/k60)) + (-2)*(k62*x7^2 - x45*x13*k63) + 1*k130*x13/x7)/k1,
  diff(x8, t) = ((-1)*k31*x8*(1 - x1/(k32*x8))/(k33*(1 + x8/k33 + x1/k34)) + 1*(k53*x44 - k53*x8))/k1,
  diff(x9, t) = ((-1)*k17*k18*x9*x3*(1 - x32*x5/(k21*x9*x3))/(k19*k20*(x32 + k18)*(k22/k20 + x9/k19 + x3/k20 + x5/k23 + x32*x5/(k23*k24) + x9*x3/(k19*k20))) + 1*k74*x6*(1 - x9/(k76*x6))/(k75*(1 + x6/k75 + x9/k77 + x15/k78)))/k2,
  diff(x10, t) = 0,
  diff(x11, t) = 0,
  diff(x12, t) = ((-1)*k37*x20*x12*(1 - x39*x28/(k38*x20*x12))/(k39*k40*(1 + x20/k39 + x39/k41)*(1 + x12/k40 + x28/k42)) + 1*k54*x28 + (-1)*k88*x18*x12*(1 - x17*x28/(k89*x18*x12))/(k90*k91*(1 + x18/k90 + x17/k92)*(1 + x12/k91 + x28/k93)) + 1*k112*x40*x28*(1 - x35*x12/(k113*x40*x28))/(k114*k115*(1 + x40/k114 + x35/k116)*(1 + x28/k115 + x12/k117)))/k1,
  diff(x13, t) = (1*k8*x7*(1 - x29*x13/(k14*x42*x7))*(x42/(k9*(1 + x7/k11 + x13/k10)))^k12/(k13*(1 + (x42/(k9*(1 + x7/k11 + x13/k10)))^k12 + x29/k15)*(1 + x7/k13 + x13/k16)) + (-1)*k55*x23*x13*(1 - x20*x7/(k56*x23*x13))/(k57*k58*(1 + x23/k57 + x20/k59)*(1 + x13/k58 + x7/k60)) + 1*(k62*x7^2 - x45*x13*k63) + (-1)*k130*x13/x7)/k1,
  diff(x14, t) = ((-1)*k25*x6*x14*(1 - x41*x27/(k26*x6*x14))/(k27*k28*(1 + x6/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,
  diff(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*k111*(x41 - x15/k108) + k107*x41*(1 - x15/(k108*x41))/(k109*(1 + x41/k109 + x15/k110))))/k2,
  diff(x16, t) = 0,
  diff(x17, t) = (1*k88*x18*x12*(1 - x17*x28/(k89*x18*x12))/(k90*k91*(1 + x18/k90 + x17/k92)*(1 + x12/k91 + x28/k93)) + (-1)*k94*x17*(1 - k157/(k95*x17))/(k96*(1 + x17/k96 + k157/k97)))/k1,
  diff(x18, t) = (1*(k87*k1*(x39 - x18/k84) + k83*x39*(1 - x18/(k84*x39))/(k85*(1 + x39/k85 + x18/k86))) + (-1)*k88*x18*x12*(1 - x17*x28/(k89*x18*x12))/(k90*k91*(1 + x18/k90 + x17/k92)*(1 + x12/k91 + x28/k93)))/k1,
  diff(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)*k98*x19*(1 - k158/(k99*x19))/(k100*(1 + x19/k100 + k158/k101)))/k2,
  diff(x20, t) = ((-1)*k37*x20*x12*(1 - x39*x28/(k38*x20*x12))/(k39*k40*(1 + x20/k39 + x39/k41)*(1 + x12/k40 + x28/k42)) + 1*k55*x23*x13*(1 - x20*x7/(k56*x23*x13))/(k57*k58*(1 + x23/k57 + x20/k59)*(1 + x13/k58 + x7/k60)) + (-1)*k64*x20*(1 - x23/(k65*x20))/(k66*(1 + x20/k66 + x23/k67)))/k1,
  diff(x21, t) = 0,
  diff(x22, t) = ((-1)*k118*x22*x5*(1 - x44*x3/(k119*x22*x5))/(k120*k121*(1 + x22/k120 + x44/k122)*(1 + x5/k121 + x3/k123)) + 1*k146*x33*x31*(1 - x22*x46/(k147*x33*x31))/(k148*k149*(1 + x33/k148 + x22/k150)*(1 + x31/k149 + x46/k151)))/k2,
  diff(x23, t) = ((-1)*k55*x23*x13*(1 - x20*x7/(k56*x23*x13))/(k57*k58*(1 + x23/k57 + x20/k59)*(1 + x13/k58 + x7/k60)) + 1*k64*x20*(1 - x23/(k65*x20))/(k66*(1 + x20/k66 + x23/k67)) + (-1)*(k102*x23 - k103*x25) + 1*k104*(k159 - x23)/(k105 + k159 + x23 + k106*k159*x23/k105))/k1,
  diff(x24, t) = 0,
  diff(x25, t) = ((-1)*k47*x25*x3*(1 - x6*x5/(k48*x25*x3))/(k49*k50*(1 + x25/k49 + x6/k51)*(1 + x3/k50 + x5/k52)) + 1*(k102*x23 - k103*x25))/k2,
  diff(x26, t) = 0,
  diff(x27, t) = (1*k25*x6*x14*(1 - x41*x27/(k26*x6*x14))/(k27*k28*(1 + x6/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,
  diff(x28, t) = (1*k37*x20*x12*(1 - x39*x28/(k38*x20*x12))/(k39*k40*(1 + x20/k39 + x39/k41)*(1 + x12/k40 + x28/k42)) + (-1)*k54*x28 + 1*k88*x18*x12*(1 - x17*x28/(k89*x18*x12))/(k90*k91*(1 + x18/k90 + x17/k92)*(1 + x12/k91 + x28/k93)) + (-1)*k112*x40*x28*(1 - x35*x12/(k113*x40*x28))/(k114*k115*(1 + x40/k114 + x35/k116)*(1 + x28/k115 + x12/k117)))/k1,
  diff(x29, t) = (1*k8*x7*(1 - x29*x13/(k14*x42*x7))*(x42/(k9*(1 + x7/k11 + x13/k10)))^k12/(k13*(1 + (x42/(k9*(1 + x7/k11 + x13/k10)))^k12 + x29/k15)*(1 + x7/k13 + x13/k16)) + (-1)*k35*x29/(k36*(1 + x29/k36)))/k1,
  diff(x30, t) = 0,
  diff(x31, t) = (1*k124*x4*x46*(1 - x38*x31/(k125*x4*x46))/(k126*k127*(1 + x4/k126 + x38/k128)*(1 + x46/k127 + x31/k129)) + (-1)*k146*x33*x31*(1 - x22*x46/(k147*x33*x31))/(k148*k149*(1 + x33/k148 + x22/k150)*(1 + x31/k149 + x46/k151)))/k2,
  diff(x32, t) = (1*k17*k18*x9*x3*(1 - x32*x5/(k21*x9*x3))/(k19*k20*(x32 + k18)*(k22/k20 + x9/k19 + x3/k20 + x5/k23 + x32*x5/(k23*k24) + x9*x3/(k19*k20))) + (-1)*k137*x32*(1 - x33*x4/(x32*k142))/(k138*(1 + x3/k139 + x5/k140 + x43/k141)*(1 + x33/k143 + x4/k144 + x32/(k138*(1 + x3/k139 + x5/k140 + x43/k141)) + x33*x4/(k143*k144) + x32*x33/(k138*k145*(1 + x3/k139 + x5/k140 + x43/k141)))))/k2,
  diff(x33, t) = (1*k4*x4*(1 - x33/(k5*x4))/(k6*(1 + x4/k6 + x33/k7)) + 1*k137*x32*(1 - x33*x4/(x32*k142))/(k138*(1 + x3/k139 + x5/k140 + x43/k141)*(1 + x33/k143 + x4/k144 + x32/(k138*(1 + x3/k139 + x5/k140 + x43/k141)) + x33*x4/(k143*k144) + x32*x33/(k138*k145*(1 + x3/k139 + x5/k140 + x43/k141)))) + (-1)*k146*x33*x31*(1 - x22*x46/(k147*x33*x31))/(k148*k149*(1 + x33/k148 + x22/k150)*(1 + x31/k149 + x46/k151)))/k2,
  diff(x34, t) = 0,
  diff(x35, t) = ((-1)*k81*x35 + 1*k112*x40*x28*(1 - x35*x12/(k113*x40*x28))/(k114*k115*(1 + x40/k114 + x35/k116)*(1 + x28/k115 + x12/k117)))/k1,
  diff(x36, t) = 0,
  diff(x37, t) = (1*(x38*k82*x2 - x37*k82*x4) + (-1)*k152*x37/(k153*(1 + x37/k153)))/k1,
  diff(x38, t) = ((-1)*(x38*k82*x2 - x37*k82*x4) + 1*k124*x4*x46*(1 - x38*x31/(k125*x4*x46))/(k126*k127*(1 + x4/k126 + x38/k128)*(1 + x46/k127 + x31/k129)) + (-1)*k131*x38*x5*(1 - k161*x3/(k132*x38*x5))/(k133*k134*(1 + x38/k133 + k161/k135)*(1 + x5/k134 + x3/k136)))/k2,
  diff(x39, t) = (1*k37*x20*x12*(1 - x39*x28/(k38*x20*x12))/(k39*k40*(1 + x20/k39 + x39/k41)*(1 + x12/k40 + x28/k42)) + (-1)*(k87*k1*(x39 - x18/k84) + k83*x39*(1 - x18/(k84*x39))/(k85*(1 + x39/k85 + x18/k86))))/k1,
  diff(x40, t) = (1*k81*x35 + (-1)*k112*x40*x28*(1 - x35*x12/(k113*x40*x28))/(k114*k115*(1 + x40/k114 + x35/k116)*(1 + x28/k115 + x12/k117)))/k1,
  diff(x41, t) = (1*k25*x6*x14*(1 - x41*x27/(k26*x6*x14))/(k27*k28*(1 + x6/k27 + x41/k29)*(1 + x14/k28 + x27/k30)) + (-1)*(k2*k111*(x41 - x15/k108) + k107*x41*(1 - x15/(k108*x41))/(k109*(1 + x41/k109 + x15/k110))))/k2,
  diff(x42, t) = ((-1)*k8*x7*(1 - x29*x13/(k14*x42*x7))*(x42/(k9*(1 + x7/k11 + x13/k10)))^k12/(k13*(1 + (x42/(k9*(1 + x7/k11 + x13/k10)))^k12 + x29/k15)*(1 + x7/k13 + x13/k16)) + 1*k43*x1*(1 - x42/(k44*x1))/(k45*(1 + x1/k45 + x42/k46)))/k1,
  diff(x43, t) = 1*(k79*x5^2 - x43*x3*k80)/k2,
  diff(x44, t) = ((-1)*(k53*x44 - k53*x8) + 1*k118*x22*x5*(1 - x44*x3/(k119*x22*x5))/(k120*k121*(1 + x22/k120 + x44/k122)*(1 + x5/k121 + x3/k123)))/k2,
  diff(x45, t) = 1*(k62*x7^2 - x45*x13*k63)/k1,
  diff(x46, t) = ((-1)*k124*x4*x46*(1 - x38*x31/(k125*x4*x46))/(k126*k127*(1 + x4/k126 + x38/k128)*(1 + x46/k127 + x31/k129)) + 1*k146*x33*x31*(1 - x22*x46/(k147*x33*x31))/(k148*k149*(1 + x33/k148 + x22/k150)*(1 + x31/k149 + x46/k151)))/k2 }