[ Eq(Derivative(x1, t), (1*x4/(x4 + k4)*k5/(x6 + k5)*k3*x23/k7*x9/k8/((1 + x23/k7)*(1 + x9/k8) + (1 + x1/k6)*(1 + x12/k9) - 1) + (-1)*k1*(k20*x1/k22 - k20/k19*x5/k22)/(1 + x1/k22 + x5/k21))/k1), Eq(Derivative(x2, t), ((-1)*k1*k10*(x2/k11)**k12/((x2/k11)**k12 + 1) + (-1)*k14/(x4 + k14)*k13*x2/k16*x18/k17/((1 + x18/k17)*(1 + x2/k16) + (1 + x4/k18 + (x4/k18)**2)*(1 + x3/k15) - 1) + (-1)*k1*k23*x5/k26*x2/k25/((1 + x5/k26)*(1 + x2/k25) + (1 + x6/k27)*(1 + x3/k24) - 1) + 1*k1*(k40*x8/k43*x3/k41 - k40/k39*x9/k43*x2/k41)/((1 + x8/k43)*(1 + x3/k41) + (1 + x9/k44)*(1 + x2/k42) - 1) + 1*k1*x6/(x6 + k46)*k47**k52/(x4**k52 + k47**k52)*k45*x3/k48*x9/k50/((1 + x3/k48)*(1 + x9/k50) + (1 + x2/k49)*(1 + x12/k51) - 1) + 1*k74*x13/k77*x3/k75/((1 + x13/k77)*(1 + x3/k75) + (1 + x21/k78)*(1 + x2/k76)*(1 + x17/k79) - 1))/k1), Eq(Derivative(x3, t), (1*k1*k10*(x2/k11)**k12/((x2/k11)**k12 + 1) + 1*k14/(x4 + k14)*k13*x2/k16*x18/k17/((1 + x18/k17)*(1 + x2/k16) + (1 + x4/k18 + (x4/k18)**2)*(1 + x3/k15) - 1) + 1*k1*k23*x5/k26*x2/k25/((1 + x5/k26)*(1 + x2/k25) + (1 + x6/k27)*(1 + x3/k24) - 1) + (-1)*k1*(k40*x8/k43*x3/k41 - k40/k39*x9/k43*x2/k41)/((1 + x8/k43)*(1 + x3/k41) + (1 + x9/k44)*(1 + x2/k42) - 1) + (-1)*k1*x6/(x6 + k46)*k47**k52/(x4**k52 + k47**k52)*k45*x3/k48*x9/k50/((1 + x3/k48)*(1 + x9/k50) + (1 + x2/k49)*(1 + x12/k51) - 1) + (-1)*k74*x13/k77*x3/k75/((1 + x13/k77)*(1 + x3/k75) + (1 + x21/k78)*(1 + x2/k76)*(1 + x17/k79) - 1))/k1), Eq(Derivative(x4, t), (1*k1*k10*(x2/k11)**k12/((x2/k11)**k12 + 1) + 2*k14/(x4 + k14)*k13*x2/k16*x18/k17/((1 + x18/k17)*(1 + x2/k16) + (1 + x4/k18 + (x4/k18)**2)*(1 + x3/k15) - 1) + (-1)*k1*(k33*x7/k35*x10/k37*x4/k38 - k33/k32*x8/k35*x11/k37*1/k38)/((1 + x7/k35)*(1 + x4/k38)*(1 + x10/k37) + (1 + x8/k34)*(1 + x11/k36) - 1) + 1*k1*k111*x6/k113/(x6/k113 + (1 + x5/k112)*(1 + x4/k114)))/k1), Eq(Derivative(x5, t), (1*k1*(k20*x1/k22 - k20/k19*x5/k22)/(1 + x1/k22 + x5/k21) + (-1)*k1*k23*x5/k26*x2/k25/((1 + x5/k26)*(1 + x2/k25) + (1 + x6/k27)*(1 + x3/k24) - 1) + (-1)*k1*k92/(x5 + k92)*(k91*x5/k93*x11/k95 - k91/k90*x16/k93*x10/k95)/((1 + x5/k93)*(1 + x11/k95) + (1 + x16/k94)*(1 + x10/k96) - 1) + 1*k1*k111*x6/k113/(x6/k113 + (1 + x5/k112)*(1 + x4/k114)))/k1), Eq(Derivative(x6, t), (1*k1*k23*x5/k26*x2/k25/((1 + x5/k26)*(1 + x2/k25) + (1 + x6/k27)*(1 + x3/k24) - 1) + (-1)*k1*(k29*x6/k30 - k29/k28*x7**2/k30)/(1 + x6/k30 + x7/k31 + (x7/k31)**2) + (-1)*k1*k111*x6/k113/(x6/k113 + (1 + x5/k112)*(1 + x4/k114)))/k1), Eq(Derivative(x7, t), (2*k1*(k29*x6/k30 - k29/k28*x7**2/k30)/(1 + x6/k30 + x7/k31 + (x7/k31)**2) + (-1)*k1*(k33*x7/k35*x10/k37*x4/k38 - k33/k32*x8/k35*x11/k37*1/k38)/((1 + x7/k35)*(1 + x4/k38)*(1 + x10/k37) + (1 + x8/k34)*(1 + x11/k36) - 1))/k1), Eq(Derivative(x8, t), (1*k1*(k33*x7/k35*x10/k37*x4/k38 - k33/k32*x8/k35*x11/k37*1/k38)/((1 + x7/k35)*(1 + x4/k38)*(1 + x10/k37) + (1 + x8/k34)*(1 + x11/k36) - 1) + (-1)*k1*(k40*x8/k43*x3/k41 - k40/k39*x9/k43*x2/k41)/((1 + x8/k43)*(1 + x3/k41) + (1 + x9/k44)*(1 + x2/k42) - 1))/k1), Eq(Derivative(x9, t), ((-1)*x4/(x4 + k4)*k5/(x6 + k5)*k3*x23/k7*x9/k8/((1 + x23/k7)*(1 + x9/k8) + (1 + x1/k6)*(1 + x12/k9) - 1) + 1*k1*(k40*x8/k43*x3/k41 - k40/k39*x9/k43*x2/k41)/((1 + x8/k43)*(1 + x3/k41) + (1 + x9/k44)*(1 + x2/k42) - 1) + (-1)*k1*x6/(x6 + k46)*k47**k52/(x4**k52 + k47**k52)*k45*x3/k48*x9/k50/((1 + x3/k48)*(1 + x9/k50) + (1 + x2/k49)*(1 + x12/k51) - 1) + (-1)*k100*x25/k102*x9/k103/((1 + x25/k102)*(1 + x9/k103) + (1 + x16/k101)*(1 + x12/k104) - 1))/k1), Eq(Derivative(x10, t), ((-1)*k1*(k33*x7/k35*x10/k37*x4/k38 - k33/k32*x8/k35*x11/k37*1/k38)/((1 + x7/k35)*(1 + x4/k38)*(1 + x10/k37) + (1 + x8/k34)*(1 + x11/k36) - 1) + 1*x6/(x6 + k54)*k55/(x4 + k55)*k53*x12/k59*x11/k57/((1 + x12/k59)*(1 + x11/k57) + (1 + x19/k56)*(1 + x10/k58) - 1) + 2*k68/(x2 + k68)*k67*x13/k69*(x11/k72)**2/((1 + x11/k72 + (x11/k72)**2)*(1 + x13/k69) + (1 + x20/k71)*(1 + x17/k70)*(1 + x10/k73 + (x10/k73)**2) - 1) + 1*(k85*x14/k86*x11/k88 - k85/k84*x22/k86*x10/k88)/((1 + x14/k86)*(1 + x11/k88) + (1 + x22/k87)*(1 + x10/k89) - 1) + 1*k1*k92/(x5 + k92)*(k91*x5/k93*x11/k95 - k91/k90*x16/k93*x10/k95)/((1 + x5/k93)*(1 + x11/k95) + (1 + x16/k94)*(1 + x10/k96) - 1))/k1), Eq(Derivative(x11, t), (1*k1*(k33*x7/k35*x10/k37*x4/k38 - k33/k32*x8/k35*x11/k37*1/k38)/((1 + x7/k35)*(1 + x4/k38)*(1 + x10/k37) + (1 + x8/k34)*(1 + x11/k36) - 1) + (-1)*x6/(x6 + k54)*k55/(x4 + k55)*k53*x12/k59*x11/k57/((1 + x12/k59)*(1 + x11/k57) + (1 + x19/k56)*(1 + x10/k58) - 1) + (-2)*k68/(x2 + k68)*k67*x13/k69*(x11/k72)**2/((1 + x11/k72 + (x11/k72)**2)*(1 + x13/k69) + (1 + x20/k71)*(1 + x17/k70)*(1 + x10/k73 + (x10/k73)**2) - 1) + (-1)*(k85*x14/k86*x11/k88 - k85/k84*x22/k86*x10/k88)/((1 + x14/k86)*(1 + x11/k88) + (1 + x22/k87)*(1 + x10/k89) - 1) + (-1)*k1*k92/(x5 + k92)*(k91*x5/k93*x11/k95 - k91/k90*x16/k93*x10/k95)/((1 + x5/k93)*(1 + x11/k95) + (1 + x16/k94)*(1 + x10/k96) - 1))/k1), Eq(Derivative(x12, t), (1*x4/(x4 + k4)*k5/(x6 + k5)*k3*x23/k7*x9/k8/((1 + x23/k7)*(1 + x9/k8) + (1 + x1/k6)*(1 + x12/k9) - 1) + 1*k1*x6/(x6 + k46)*k47**k52/(x4**k52 + k47**k52)*k45*x3/k48*x9/k50/((1 + x3/k48)*(1 + x9/k50) + (1 + x2/k49)*(1 + x12/k51) - 1) + (-1)*x6/(x6 + k54)*k55/(x4 + k55)*k53*x12/k59*x11/k57/((1 + x12/k59)*(1 + x11/k57) + (1 + x19/k56)*(1 + x10/k58) - 1) + (-1)*k63/(x7 + k63)*(k62*x12/k66*x17/k61 - k62/k60*x13/k66*x26/k61)/((1 + x12/k66)*(1 + x17/k61) + (1 + x13/k64)*(1 + x26/k65) - 1) + (-2)*k1*(k81*(x12/k83)**2 - k81/k80*x14/k83)/(1 + x12/k83 + (x12/k83)**2 + 1 + x14/k82 - 1) + 1*k100*x25/k102*x9/k103/((1 + x25/k102)*(1 + x9/k103) + (1 + x16/k101)*(1 + x12/k104) - 1))/k1), Eq(Derivative(x13, t), (1*k63/(x7 + k63)*(k62*x12/k66*x17/k61 - k62/k60*x13/k66*x26/k61)/((1 + x12/k66)*(1 + x17/k61) + (1 + x13/k64)*(1 + x26/k65) - 1) + (-1)*k68/(x2 + k68)*k67*x13/k69*(x11/k72)**2/((1 + x11/k72 + (x11/k72)**2)*(1 + x13/k69) + (1 + x20/k71)*(1 + x17/k70)*(1 + x10/k73 + (x10/k73)**2) - 1) + (-1)*k74*x13/k77*x3/k75/((1 + x13/k77)*(1 + x3/k75) + (1 + x21/k78)*(1 + x2/k76)*(1 + x17/k79) - 1))/k1), Eq(Derivative(x14, t), (1*k1*(k81*(x12/k83)**2 - k81/k80*x14/k83)/(1 + x12/k83 + (x12/k83)**2 + 1 + x14/k82 - 1) + (-1)*(k85*x14/k86*x11/k88 - k85/k84*x22/k86*x10/k88)/((1 + x14/k86)*(1 + x11/k88) + (1 + x22/k87)*(1 + x10/k89) - 1) + (-1)*k105*x14/k106/(1 + x14/k106 + x24/k107))/k1), Eq(Derivative(x15, t), (1*k1*k97*x16/k98/(1 + x16/k98 + 1 + x15/k99 - 1) + (-1)*k108*x15/k110/(1 + x15/k110 + x25/k109))/k1), Eq(Derivative(x16, t), (1*k1*k92/(x5 + k92)*(k91*x5/k93*x11/k95 - k91/k90*x16/k93*x10/k95)/((1 + x5/k93)*(1 + x11/k95) + (1 + x16/k94)*(1 + x10/k96) - 1) + (-1)*k1*k97*x16/k98/(1 + x16/k98 + 1 + x15/k99 - 1) + 1*k100*x25/k102*x9/k103/((1 + x25/k102)*(1 + x9/k103) + (1 + x16/k101)*(1 + x12/k104) - 1))/k1), Eq(Derivative(x17, t), ((-1)*k63/(x7 + k63)*(k62*x12/k66*x17/k61 - k62/k60*x13/k66*x26/k61)/((1 + x12/k66)*(1 + x17/k61) + (1 + x13/k64)*(1 + x26/k65) - 1) + 1*k68/(x2 + k68)*k67*x13/k69*(x11/k72)**2/((1 + x11/k72 + (x11/k72)**2)*(1 + x13/k69) + (1 + x20/k71)*(1 + x17/k70)*(1 + x10/k73 + (x10/k73)**2) - 1) + 1*k74*x13/k77*x3/k75/((1 + x13/k77)*(1 + x3/k75) + (1 + x21/k78)*(1 + x2/k76)*(1 + x17/k79) - 1))/k1), Eq(Derivative(x18, t), (-1)*k14/(x4 + k14)*k13*x2/k16*x18/k17/((1 + x18/k17)*(1 + x2/k16) + (1 + x4/k18 + (x4/k18)**2)*(1 + x3/k15) - 1)/k2), Eq(Derivative(x19, t), 1*x6/(x6 + k54)*k55/(x4 + k55)*k53*x12/k59*x11/k57/((1 + x12/k59)*(1 + x11/k57) + (1 + x19/k56)*(1 + x10/k58) - 1)/k2), Eq(Derivative(x20, t), 1*k68/(x2 + k68)*k67*x13/k69*(x11/k72)**2/((1 + x11/k72 + (x11/k72)**2)*(1 + x13/k69) + (1 + x20/k71)*(1 + x17/k70)*(1 + x10/k73 + (x10/k73)**2) - 1)/k2), Eq(Derivative(x21, t), 1*k74*x13/k77*x3/k75/((1 + x13/k77)*(1 + x3/k75) + (1 + x21/k78)*(1 + x2/k76)*(1 + x17/k79) - 1)/k2), Eq(Derivative(x22, t), 1*(k85*x14/k86*x11/k88 - k85/k84*x22/k86*x10/k88)/((1 + x14/k86)*(1 + x11/k88) + (1 + x22/k87)*(1 + x10/k89) - 1)/k2), Eq(Derivative(x23, t), (-1)*x4/(x4 + k4)*k5/(x6 + k5)*k3*x23/k7*x9/k8/((1 + x23/k7)*(1 + x9/k8) + (1 + x1/k6)*(1 + x12/k9) - 1)/k2), Eq(Derivative(x24, t), 1*k105*x14/k106/(1 + x14/k106 + x24/k107)/k2), Eq(Derivative(x25, t), ((-1)*k100*x25/k102*x9/k103/((1 + x25/k102)*(1 + x9/k103) + (1 + x16/k101)*(1 + x12/k104) - 1) + 1*k108*x15/k110/(1 + x15/k110 + x25/k109))/k2), Eq(Derivative(x26, t), 1*k63/(x7 + k63)*(k62*x12/k66*x17/k61 - k62/k60*x13/k66*x26/k61)/((1 + x12/k66)*(1 + x17/k61) + (1 + x13/k64)*(1 + x26/k65) - 1)/k2) ]