[ Eq(Derivative(x1, t), ((-1)*k25*x1*(1 - x25/(k26*x1))/(k27*(1 + x1/k27 + x25/k28)) + 1*k41*x13*(1 - x1/(k42*x13))/(k43*(1 + x13/k43 + x1/k44)))/k1), Eq(Derivative(x2, t), ((-1)*x2*x15*k20*k21/(k22*k23*(1 + x2/k23)*(x11 + k21)*(1 + x15/k22 + x11/k24)) + (-1)*x2*x30*k29/(k30*k31*(1 + x30/k30 + x10/k33)*(1 + x2/k31 + x24/k32)) + 1*k35*x27*x24*(1 - x17*x2/(k36*x27*x24))/(k37*k38*(1 + x24/k38 + x2/k40)*(1 + x27/k37 + x17/k39)) + 1*k52*x23*x24*(1 - x14*x2/(k53*x23*x24))/(k54*k55*(1 + x24/k55 + x2/k57)*(1 + x23/k54 + x14/k56)) + 1*(k79*x24**2 - x26*x2*k80))/k2), Eq(Derivative(x3, t), (1*x12*k5*(x25/(k6*(1 + x12/k8 + x3/k7)))**k9/(k10*(1 + x12/k10)*(1 + (x25/(k6*(1 + x12/k8 + x3/k7)))**k9)) + (-1)*x3*k51/x12 + 1*(k67*x12**2 - x20*x3*k68))/k1), Eq(Derivative(x4, t), (1*x12*k5*(x25/(k6*(1 + x12/k8 + x3/k7)))**k9/(k10*(1 + x12/k10)*(1 + (x25/(k6*(1 + x12/k8 + x3/k7)))**k9)) + (-1)*k15*x4/(k16*(1 + x4/k16)))/k1), Eq(Derivative(x5, t), ((-1)*(x23*x5*k81 - x7*x8*k81) + 1*k82*x7/(k83*(1 + x7/k83)))/k1), Eq(Derivative(x6, t), 0), Eq(Derivative(x7, t), (1*(x23*x5*k81 - x7*x8*k81) + (-1)*k82*x7/(k83*(1 + x7/k83)))/k1), Eq(Derivative(x8, t), ((-1)*k45*x8*x31*(1 - x23*x9/(k46*x8*x31))/(k47*k48*(1 + x31/k48 + x9/k50)*(1 + x8/k47 + x23/k49)) + 1*x11*k58*(1 - x22*x8/(x11*k63))/(k59*(1 + x2/k60 + x24/k61 + x26/k62)*(1 + x22/k64 + x8/k65 + x11/(k59*(1 + x2/k60 + x24/k61 + x26/k62)) + x22*x8/(k64*k65) + x11*x22/(k59*k66*(1 + x2/k60 + x24/k61 + x26/k62)))) + 1*(x23*x5*k81 - x7*x8*k81) + (-1)*k84*x8*(1 - x22/(k85*x8))/(k86*(1 + x8/k86 + x22/k87)))/k2), Eq(Derivative(x9, t), (1*k45*x8*x31*(1 - x23*x9/(k46*x8*x31))/(k47*k48*(1 + x31/k48 + x9/k50)*(1 + x8/k47 + x23/k49)) + (-1)*k73*x22*x9*(1 - x27*x31/(k74*x22*x9))/(k75*k76*(1 + x9/k76 + x31/k78)*(1 + x22/k75 + x27/k77)))/k2), Eq(Derivative(x10, t), (1*x2*x30*k29/(k30*k31*(1 + x30/k30 + x10/k33)*(1 + x2/k31 + x24/k32)) + (-1)*k69*x10*(1 - x15/(k70*x10))/(k71*(1 + x10/k71 + x15/k72)))/k2), Eq(Derivative(x11, t), (1*x2*x15*k20*k21/(k22*k23*(1 + x2/k23)*(x11 + k21)*(1 + x15/k22 + x11/k24)) + (-1)*x11*k58*(1 - x22*x8/(x11*k63))/(k59*(1 + x2/k60 + x24/k61 + x26/k62)*(1 + x22/k64 + x8/k65 + x11/(k59*(1 + x2/k60 + x24/k61 + x26/k62)) + x22*x8/(k64*k65) + x11*x22/(k59*k66*(1 + x2/k60 + x24/k61 + x26/k62)))))/k2), Eq(Derivative(x12, t), ((-1)*x12*k5*(x25/(k6*(1 + x12/k8 + x3/k7)))**k9/(k10*(1 + x12/k10)*(1 + (x25/(k6*(1 + x12/k8 + x3/k7)))**k9)) + 1*x3*k51/x12 + (-2)*(k67*x12**2 - x20*x3*k68))/k1), Eq(Derivative(x13, t), (1*(k34*x17 - k34*x13) + (-1)*k41*x13*(1 - x1/(k42*x13))/(k43*(1 + x13/k43 + x1/k44)))/k1), Eq(Derivative(x14, t), ((-1)*(k4*x14 - k4*x18) + 1*k52*x23*x24*(1 - x14*x2/(k53*x23*x24))/(k54*k55*(1 + x24/k55 + x2/k57)*(1 + x23/k54 + x14/k56)))/k2), Eq(Derivative(x15, t), ((-1)*x2*x15*k20*k21/(k22*k23*(1 + x2/k23)*(x11 + k21)*(1 + x15/k22 + x11/k24)) + 1*k69*x10*(1 - x15/(k70*x10))/(k71*(1 + x10/k71 + x15/k72)))/k2), Eq(Derivative(x16, t), 0), Eq(Derivative(x17, t), ((-1)*(k34*x17 - k34*x13) + 1*k35*x27*x24*(1 - x17*x2/(k36*x27*x24))/(k37*k38*(1 + x24/k38 + x2/k40)*(1 + x27/k37 + x17/k39)))/k2), Eq(Derivative(x18, t), (1*(k4*x14 - k4*x18) + (-1)*(k13*(x18 - k89) + k11*(x18 - k89)/(k12*(1 + x18/k12)*(1 + k89/k12))))/k1), Eq(Derivative(x19, t), 0), Eq(Derivative(x20, t), 1*(k67*x12**2 - x20*x3*k68)/k1), Eq(Derivative(x21, t), 0), Eq(Derivative(x22, t), (1*x11*k58*(1 - x22*x8/(x11*k63))/(k59*(1 + x2/k60 + x24/k61 + x26/k62)*(1 + x22/k64 + x8/k65 + x11/(k59*(1 + x2/k60 + x24/k61 + x26/k62)) + x22*x8/(k64*k65) + x11*x22/(k59*k66*(1 + x2/k60 + x24/k61 + x26/k62)))) + (-1)*k73*x22*x9*(1 - x27*x31/(k74*x22*x9))/(k75*k76*(1 + x9/k76 + x31/k78)*(1 + x22/k75 + x27/k77)) + 1*k84*x8*(1 - x22/(k85*x8))/(k86*(1 + x8/k86 + x22/k87)))/k2), Eq(Derivative(x23, t), (1*k45*x8*x31*(1 - x23*x9/(k46*x8*x31))/(k47*k48*(1 + x31/k48 + x9/k50)*(1 + x8/k47 + x23/k49)) + (-1)*k52*x23*x24*(1 - x14*x2/(k53*x23*x24))/(k54*k55*(1 + x24/k55 + x2/k57)*(1 + x23/k54 + x14/k56)) + (-1)*(x23*x5*k81 - x7*x8*k81))/k2), Eq(Derivative(x24, t), (1*x2*x15*k20*k21/(k22*k23*(1 + x2/k23)*(x11 + k21)*(1 + x15/k22 + x11/k24)) + 1*x2*x30*k29/(k30*k31*(1 + x30/k30 + x10/k33)*(1 + x2/k31 + x24/k32)) + (-1)*k35*x27*x24*(1 - x17*x2/(k36*x27*x24))/(k37*k38*(1 + x24/k38 + x2/k40)*(1 + x27/k37 + x17/k39)) + (-1)*k52*x23*x24*(1 - x14*x2/(k53*x23*x24))/(k54*k55*(1 + x24/k55 + x2/k57)*(1 + x23/k54 + x14/k56)) + (-2)*(k79*x24**2 - x26*x2*k80))/k2), Eq(Derivative(x25, t), ((-1)*x12*k5*(x25/(k6*(1 + x12/k8 + x3/k7)))**k9/(k10*(1 + x12/k10)*(1 + (x25/(k6*(1 + x12/k8 + x3/k7)))**k9)) + 1*k25*x1*(1 - x25/(k26*x1))/(k27*(1 + x1/k27 + x25/k28)))/k1), Eq(Derivative(x26, t), 1*(k79*x24**2 - x26*x2*k80)/k2), Eq(Derivative(x27, t), ((-1)*k35*x27*x24*(1 - x17*x2/(k36*x27*x24))/(k37*k38*(1 + x24/k38 + x2/k40)*(1 + x27/k37 + x17/k39)) + 1*k73*x22*x9*(1 - x27*x31/(k74*x22*x9))/(k75*k76*(1 + x9/k76 + x31/k78)*(1 + x22/k75 + x27/k77)))/k2), Eq(Derivative(x28, t), ((-1)*(k14*x28 - k14*x30) + 1*k17*(k92 - x28)/(k92 + x28 + k18 + k92*x28*k19/k18))/k1), Eq(Derivative(x29, t), 0), Eq(Derivative(x30, t), (1*(k14*x28 - k14*x30) + (-1)*x2*x30*k29/(k30*k31*(1 + x30/k30 + x10/k33)*(1 + x2/k31 + x24/k32)))/k2), Eq(Derivative(x31, t), ((-1)*k45*x8*x31*(1 - x23*x9/(k46*x8*x31))/(k47*k48*(1 + x31/k48 + x9/k50)*(1 + x8/k47 + x23/k49)) + 1*k73*x22*x9*(1 - x27*x31/(k74*x22*x9))/(k75*k76*(1 + x9/k76 + x31/k78)*(1 + x22/k75 + x27/k77)))/k2) ]