[ Eq(Derivative(x1, t), (1*k27*x8*(1 - x1/(k28*x8))/(k29*(1 + x8/k29 + x1/k30)) + (-1)*k45*x1*(1 - x27/(k46*x1))/(k47*(1 + x1/k47 + x27/k48)))/k1), Eq(Derivative(x2, t), (1*k68*x25/(k69*(1 + x25/k69)) + (-1)*(x26*k93*x2 - x25*k93*x4))/k1), Eq(Derivative(x3, t), ((-1)*k17*k18*x9*x3*(1 - x21*x5/(k21*x9*x3))/(k19*k20*(x21 + k18)*(k22/k20 + x9/k19 + x3/k20 + x5/k23 + x21*x5/(k23*k24) + x9*x3/(k19*k20))) + (-1)*k49*x17*x3*(1 - x6*x5/(k50*x17*x3))/(k51*k52*(1 + x17/k51 + x6/k53)*(1 + x3/k52 + x5/k54)) + 1*k56*x14*x5*(1 - x29*x3/(k57*x14*x5))/(k58*k59*(1 + x14/k58 + x29/k60)*(1 + x5/k59 + x3/k61)) + 1*k71*x26*x5*(1 - k96*x3/(k72*x26*x5))/(k73*k74*(1 + x26/k73 + k96/k75)*(1 + x5/k74 + x3/k76)) + 1*(k91*x5**2 - x28*x3*k92))/k2), Eq(Derivative(x4, t), ((-1)*k4*x4*(1 - x22/(k5*x4))/(k6*(1 + x4/k6 + x22/k7)) + 1*k36*x21*(1 - x22*x4/(x21*k41))/(k37*(1 + x3/k38 + x5/k39 + x28/k40)*(1 + x22/k42 + x4/k43 + x21/(k37*(1 + x3/k38 + x5/k39 + x28/k40)) + x22*x4/(k42*k43) + x21*x22/(k37*k44*(1 + x3/k38 + x5/k39 + x28/k40)))) + (-1)*k62*x4*x31*(1 - x26*x20/(k63*x4*x31))/(k64*k65*(1 + x4/k64 + x26/k66)*(1 + x31/k65 + x20/k67)) + 1*(x26*k93*x2 - x25*k93*x4))/k2), Eq(Derivative(x5, t), (1*k17*k18*x9*x3*(1 - x21*x5/(k21*x9*x3))/(k19*k20*(x21 + k18)*(k22/k20 + x9/k19 + x3/k20 + x5/k23 + x21*x5/(k23*k24) + x9*x3/(k19*k20))) + 1*k49*x17*x3*(1 - x6*x5/(k50*x17*x3))/(k51*k52*(1 + x17/k51 + x6/k53)*(1 + x3/k52 + x5/k54)) + (-1)*k56*x14*x5*(1 - x29*x3/(k57*x14*x5))/(k58*k59*(1 + x14/k58 + x29/k60)*(1 + x5/k59 + x3/k61)) + (-1)*k71*x26*x5*(1 - k96*x3/(k72*x26*x5))/(k73*k74*(1 + x26/k73 + k96/k75)*(1 + x5/k74 + x3/k76)) + (-2)*(k91*x5**2 - x28*x3*k92))/k2), Eq(Derivative(x6, t), (1*k49*x17*x3*(1 - x6*x5/(k50*x17*x3))/(k51*k52*(1 + x17/k51 + x6/k53)*(1 + x3/k52 + x5/k54)) + (-1)*k79*x6*(1 - x9/(k81*x6))/(k80*(1 + x6/k80 + x9/k82 + k83/k84)))/k2), Eq(Derivative(x7, t), ((-1)*k8*x7*(1 - x18*x13/(k14*x27*x7))*(x27/(k9*(1 + x7/k11 + x13/k10)))**k12/(k13*(1 + (x27/(k9*(1 + x7/k11 + x13/k10)))**k12 + x18/k15)*(1 + x7/k13 + x13/k16)) + 1*k70*x13/x7 + (-2)*(k77*x7**2 - x30*x13*k78))/k1), Eq(Derivative(x8, t), ((-1)*k27*x8*(1 - x1/(k28*x8))/(k29*(1 + x8/k29 + x1/k30)) + 1*(k55*x29 - k55*x8))/k1), Eq(Derivative(x9, t), ((-1)*k17*k18*x9*x3*(1 - x21*x5/(k21*x9*x3))/(k19*k20*(x21 + k18)*(k22/k20 + x9/k19 + x3/k20 + x5/k23 + x21*x5/(k23*k24) + x9*x3/(k19*k20))) + 1*k79*x6*(1 - x9/(k81*x6))/(k80*(1 + x6/k80 + x9/k82 + k83/k84)))/k2), Eq(Derivative(x10, t), 0), Eq(Derivative(x11, t), 0), Eq(Derivative(x12, t), 0), Eq(Derivative(x13, t), (1*k8*x7*(1 - x18*x13/(k14*x27*x7))*(x27/(k9*(1 + x7/k11 + x13/k10)))**k12/(k13*(1 + (x27/(k9*(1 + x7/k11 + x13/k10)))**k12 + x18/k15)*(1 + x7/k13 + x13/k16)) + (-1)*k70*x13/x7 + 1*(k77*x7**2 - x30*x13*k78))/k1), Eq(Derivative(x14, t), ((-1)*k56*x14*x5*(1 - x29*x3/(k57*x14*x5))/(k58*k59*(1 + x14/k58 + x29/k60)*(1 + x5/k59 + x3/k61)) + 1*k85*x22*x20*(1 - x14*x31/(k86*x22*x20))/(k87*k88*(1 + x22/k87 + x14/k89)*(1 + x20/k88 + x31/k90)))/k2), Eq(Derivative(x15, t), ((-1)*(k25*x15 - k26*x17) + 1*k33*(k97 - x15)/(k34 + k97 + x15 + k35*k97*x15/k34))/k1), Eq(Derivative(x16, t), 0), Eq(Derivative(x17, t), (1*(k25*x15 - k26*x17) + (-1)*k49*x17*x3*(1 - x6*x5/(k50*x17*x3))/(k51*k52*(1 + x17/k51 + x6/k53)*(1 + x3/k52 + x5/k54)))/k2), Eq(Derivative(x18, t), (1*k8*x7*(1 - x18*x13/(k14*x27*x7))*(x27/(k9*(1 + x7/k11 + x13/k10)))**k12/(k13*(1 + (x27/(k9*(1 + x7/k11 + x13/k10)))**k12 + x18/k15)*(1 + x7/k13 + x13/k16)) + (-1)*k31*x18/(k32*(1 + x18/k32)))/k1), Eq(Derivative(x19, t), 0), Eq(Derivative(x20, t), (1*k62*x4*x31*(1 - x26*x20/(k63*x4*x31))/(k64*k65*(1 + x4/k64 + x26/k66)*(1 + x31/k65 + x20/k67)) + (-1)*k85*x22*x20*(1 - x14*x31/(k86*x22*x20))/(k87*k88*(1 + x22/k87 + x14/k89)*(1 + x20/k88 + x31/k90)))/k2), Eq(Derivative(x21, t), (1*k17*k18*x9*x3*(1 - x21*x5/(k21*x9*x3))/(k19*k20*(x21 + k18)*(k22/k20 + x9/k19 + x3/k20 + x5/k23 + x21*x5/(k23*k24) + x9*x3/(k19*k20))) + (-1)*k36*x21*(1 - x22*x4/(x21*k41))/(k37*(1 + x3/k38 + x5/k39 + x28/k40)*(1 + x22/k42 + x4/k43 + x21/(k37*(1 + x3/k38 + x5/k39 + x28/k40)) + x22*x4/(k42*k43) + x21*x22/(k37*k44*(1 + x3/k38 + x5/k39 + x28/k40)))))/k2), Eq(Derivative(x22, t), (1*k4*x4*(1 - x22/(k5*x4))/(k6*(1 + x4/k6 + x22/k7)) + 1*k36*x21*(1 - x22*x4/(x21*k41))/(k37*(1 + x3/k38 + x5/k39 + x28/k40)*(1 + x22/k42 + x4/k43 + x21/(k37*(1 + x3/k38 + x5/k39 + x28/k40)) + x22*x4/(k42*k43) + x21*x22/(k37*k44*(1 + x3/k38 + x5/k39 + x28/k40)))) + (-1)*k85*x22*x20*(1 - x14*x31/(k86*x22*x20))/(k87*k88*(1 + x22/k87 + x14/k89)*(1 + x20/k88 + x31/k90)))/k2), Eq(Derivative(x23, t), 0), Eq(Derivative(x24, t), 0), Eq(Derivative(x25, t), ((-1)*k68*x25/(k69*(1 + x25/k69)) + 1*(x26*k93*x2 - x25*k93*x4))/k1), Eq(Derivative(x26, t), (1*k62*x4*x31*(1 - x26*x20/(k63*x4*x31))/(k64*k65*(1 + x4/k64 + x26/k66)*(1 + x31/k65 + x20/k67)) + (-1)*k71*x26*x5*(1 - k96*x3/(k72*x26*x5))/(k73*k74*(1 + x26/k73 + k96/k75)*(1 + x5/k74 + x3/k76)) + (-1)*(x26*k93*x2 - x25*k93*x4))/k2), Eq(Derivative(x27, t), ((-1)*k8*x7*(1 - x18*x13/(k14*x27*x7))*(x27/(k9*(1 + x7/k11 + x13/k10)))**k12/(k13*(1 + (x27/(k9*(1 + x7/k11 + x13/k10)))**k12 + x18/k15)*(1 + x7/k13 + x13/k16)) + 1*k45*x1*(1 - x27/(k46*x1))/(k47*(1 + x1/k47 + x27/k48)))/k1), Eq(Derivative(x28, t), 1*(k91*x5**2 - x28*x3*k92)/k2), Eq(Derivative(x29, t), ((-1)*(k55*x29 - k55*x8) + 1*k56*x14*x5*(1 - x29*x3/(k57*x14*x5))/(k58*k59*(1 + x14/k58 + x29/k60)*(1 + x5/k59 + x3/k61)))/k2), Eq(Derivative(x30, t), 1*(k77*x7**2 - x30*x13*k78)/k1), Eq(Derivative(x31, t), ((-1)*k62*x4*x31*(1 - x26*x20/(k63*x4*x31))/(k64*k65*(1 + x4/k64 + x26/k66)*(1 + x31/k65 + x20/k67)) + 1*k85*x22*x20*(1 - x14*x31/(k86*x22*x20))/(k87*k88*(1 + x22/k87 + x14/k89)*(1 + x20/k88 + x31/k90)))/k2) ]