{ diff(x1, t) = ((-1)*k99*k2*k1*k100*x1/(k4*k7*(1 + x5/k3)*(1 + k100/k7 + (x1 + x3 + x6)/k4 + k100*(x1 + x3 + x6)/(k4*k7) + k101*k100*(x1 + x3 + x6)/(k4*k8*k7) + k5*(x3 + x6 + x7)/(k4*k6))) + 1*k99*k10*k9*x3/(k11*(1 + k13/x5)*(1 + (1 + k102/k12)*(x3 + x6 + x7)/k11)))/k99,
  diff(x2, t) = 0,
  diff(x3, t) = (1*k99*k2*k1*k100*x1/(k4*k7*(1 + x5/k3)*(1 + k100/k7 + (x1 + x3 + x6)/k4 + k100*(x1 + x3 + x6)/(k4*k7) + k101*k100*(x1 + x3 + x6)/(k4*k8*k7) + k5*(x3 + x6 + x7)/(k4*k6))) + (-1)*k99*k10*k9*x3/(k11*(1 + k13/x5)*(1 + (1 + k102/k12)*(x3 + x6 + x7)/k11)) + (-1)*k99*k2*k1*k100*x3/(k4*k7*(1 + x5/k3)*(1 + k100/k7 + (x1 + x3 + x6)/k4 + k100*(x1 + x3 + x6)/(k4*k7) + k101*k100*(x1 + x3 + x6)/(k4*k8*k7) + k5*(x3 + x6 + x7)/(k4*k6))) + 1*k99*k10*k9*x6/(k11*(1 + k13/x5)*(1 + (1 + k102/k12)*(x3 + x6 + x7)/k11)))/k99,
  diff(x4, t) = 0,
  diff(x5, t) = ((-1)*k99*k104*k105*k46*x5/(k47*k48*k49*(1 + k106/k51 + k105/k49)*(1 + x16/k52)*(1 + k104/k48 + x14/k50)*(1 + x5/k47 + x14/k50)) + 1*k99*k54*k56*k53*((-k109*x18*x5/k67) + k103*x17*x14)/(k61*k62*k63*(1 + k109/k65 + x18/k64 + k109*x18/(k64*k65) + x17/k61)*(1 + k103/k63 + x5/k66 + k103*x5/(k66*k63) + x14/k62 + k103*x14/(k62*k63))*(1 + 12^k58*(x10/(k55*k87))^k58)*(1 + 12^k59*(x10/(k57*k87))^k59)) + (-1)*k99*k72*((-x20/k74) + x5)/(k73*(1 + x20/k75 + x5/k73)))/k99,
  diff(x6, t) = (1*k99*k2*k1*k100*x3/(k4*k7*(1 + x5/k3)*(1 + k100/k7 + (x1 + x3 + x6)/k4 + k100*(x1 + x3 + x6)/(k4*k7) + k101*k100*(x1 + x3 + x6)/(k4*k8*k7) + k5*(x3 + x6 + x7)/(k4*k6))) + (-1)*k99*k10*k9*x6/(k11*(1 + k13/x5)*(1 + (1 + k102/k12)*(x3 + x6 + x7)/k11)) + (-1)*k99*k2*k1*k100*x6/(k4*k7*(1 + x5/k3)*(1 + k100/k7 + (x1 + x3 + x6)/k4 + k100*(x1 + x3 + x6)/(k4*k7) + k101*k100*(x1 + x3 + x6)/(k4*k8*k7) + k5*(x3 + x6 + x7)/(k4*k6))) + 1*k99*k10*k9*x7/(k11*(1 + k13/x5)*(1 + (1 + k102/k12)*(x3 + x6 + x7)/k11)))/k99,
  diff(x7, t) = (1*k99*k2*k1*k100*x6/(k4*k7*(1 + x5/k3)*(1 + k100/k7 + (x1 + x3 + x6)/k4 + k100*(x1 + x3 + x6)/(k4*k7) + k101*k100*(x1 + x3 + x6)/(k4*k8*k7) + k5*(x3 + x6 + x7)/(k4*k6))) + (-1)*k99*k10*k9*x7/(k11*(1 + k13/x5)*(1 + (1 + k102/k12)*(x3 + x6 + x7)/k11)))/k99,
  diff(x8, t) = 0,
  diff(x9, t) = ((-1)*k99*k18*x9*(k15*x5/k20 + 3*k14*k104*x1/(k19*k89*(1 + 3*k104/k89 + 3*k104^2/(k89*k90) + k104^3/(k89*k90*k91))) + 3*k16*k104*x5*x1/(k20*k19*k89*(1 + 3*k104/k89 + 3*k104^2/(k89*k90) + k104^3/(k89*k90*k91))))/((k21 + x9)*(1 + x5/k20 + 3*k104*x1/(k19*k89*(1 + 3*k104/k89 + 3*k104^2/(k89*k90) + k104^3/(k89*k90*k91))) + 3*k104*x5*x1/(k17*k20*k19*k89*(1 + 3*k104/k89 + 3*k104^2/(k89*k90) + k104^3/(k89*k90*k91))))) + 1*k99*k33*x10*(k23*x5/k35 + 3*k22*k104*x1/(k89*k34*(1 + 3*k104/k89 + 3*k104^2/(k89*k90) + k104^3/(k89*k90*k91))) + 3*k25*k104*x5*x1/(k89*k35*k34*(1 + 3*k104/k89 + 3*k104^2/(k89*k90) + k104^3/(k89*k90*k91))) + k24*k104^3*x7/(k92*k93*k94*k36*(1 + 3*k104/k92 + 3*k104^2/(k92*k93) + k104^3/(k92*k93*k94))) + k27*k104^3*x5*x7/(k92*k93*k94*k35*k36*(1 + 3*k104/k92 + 3*k104^2/(k92*k93) + k104^3/(k92*k93*k94))) + 3*k26*k104^4*x1*x7/(k89*k92*k93*k94*k34*k36*(1 + 3*k104/k89 + 3*k104^2/(k89*k90) + k104^3/(k89*k90*k91))*(1 + 3*k104/k92 + 3*k104^2/(k92*k93) + k104^3/(k92*k93*k94))) + 3*k28*k104^4*x5*x1*x7/(k89*k92*k93*k94*k35*k34*k36*(1 + 3*k104/k89 + 3*k104^2/(k89*k90) + k104^3/(k89*k90*k91))*(1 + 3*k104/k92 + 3*k104^2/(k92*k93) + k104^3/(k92*k93*k94))))/((k37 + x10)*(1 + x5/k35 + 3*k104*x1/(k89*k34*(1 + 3*k104/k89 + 3*k104^2/(k89*k90) + k104^3/(k89*k90*k91))) + 3*k104*x5*x1/(k89*k35*k34*(1 + 3*k104/k89 + 3*k104^2/(k89*k90) + k104^3/(k89*k90*k91))*k29) + k104^3*x7/(k92*k93*k94*k36*(1 + 3*k104/k92 + 3*k104^2/(k92*k93) + k104^3/(k92*k93*k94))) + k104^3*x5*x7/(k92*k93*k94*k35*k36*(1 + 3*k104/k92 + 3*k104^2/(k92*k93) + k104^3/(k92*k93*k94))*k31) + 3*k104^4*x1*x7/(k89*k92*k93*k94*k34*k36*(1 + 3*k104/k89 + 3*k104^2/(k89*k90) + k104^3/(k89*k90*k91))*(1 + 3*k104/k92 + 3*k104^2/(k92*k93) + k104^3/(k92*k93*k94))*k30) + 3*k104^4*x5*x1*x7/(k89*k92*k93*k94*k35*k34*k36*(1 + 3*k104/k89 + 3*k104^2/(k89*k90) + k104^3/(k89*k90*k91))*(1 + 3*k104/k92 + 3*k104^2/(k92*k93) + k104^3/(k92*k93*k94))*k32))))/k99,
  diff(x10, t) = (1*k99*k18*x9*(k15*x5/k20 + 3*k14*k104*x1/(k19*k89*(1 + 3*k104/k89 + 3*k104^2/(k89*k90) + k104^3/(k89*k90*k91))) + 3*k16*k104*x5*x1/(k20*k19*k89*(1 + 3*k104/k89 + 3*k104^2/(k89*k90) + k104^3/(k89*k90*k91))))/((k21 + x9)*(1 + x5/k20 + 3*k104*x1/(k19*k89*(1 + 3*k104/k89 + 3*k104^2/(k89*k90) + k104^3/(k89*k90*k91))) + 3*k104*x5*x1/(k17*k20*k19*k89*(1 + 3*k104/k89 + 3*k104^2/(k89*k90) + k104^3/(k89*k90*k91))))) + (-1)*k99*k33*x10*(k23*x5/k35 + 3*k22*k104*x1/(k89*k34*(1 + 3*k104/k89 + 3*k104^2/(k89*k90) + k104^3/(k89*k90*k91))) + 3*k25*k104*x5*x1/(k89*k35*k34*(1 + 3*k104/k89 + 3*k104^2/(k89*k90) + k104^3/(k89*k90*k91))) + k24*k104^3*x7/(k92*k93*k94*k36*(1 + 3*k104/k92 + 3*k104^2/(k92*k93) + k104^3/(k92*k93*k94))) + k27*k104^3*x5*x7/(k92*k93*k94*k35*k36*(1 + 3*k104/k92 + 3*k104^2/(k92*k93) + k104^3/(k92*k93*k94))) + 3*k26*k104^4*x1*x7/(k89*k92*k93*k94*k34*k36*(1 + 3*k104/k89 + 3*k104^2/(k89*k90) + k104^3/(k89*k90*k91))*(1 + 3*k104/k92 + 3*k104^2/(k92*k93) + k104^3/(k92*k93*k94))) + 3*k28*k104^4*x5*x1*x7/(k89*k92*k93*k94*k35*k34*k36*(1 + 3*k104/k89 + 3*k104^2/(k89*k90) + k104^3/(k89*k90*k91))*(1 + 3*k104/k92 + 3*k104^2/(k92*k93) + k104^3/(k92*k93*k94))))/((k37 + x10)*(1 + x5/k35 + 3*k104*x1/(k89*k34*(1 + 3*k104/k89 + 3*k104^2/(k89*k90) + k104^3/(k89*k90*k91))) + 3*k104*x5*x1/(k89*k35*k34*(1 + 3*k104/k89 + 3*k104^2/(k89*k90) + k104^3/(k89*k90*k91))*k29) + k104^3*x7/(k92*k93*k94*k36*(1 + 3*k104/k92 + 3*k104^2/(k92*k93) + k104^3/(k92*k93*k94))) + k104^3*x5*x7/(k92*k93*k94*k35*k36*(1 + 3*k104/k92 + 3*k104^2/(k92*k93) + k104^3/(k92*k93*k94))*k31) + 3*k104^4*x1*x7/(k89*k92*k93*k94*k34*k36*(1 + 3*k104/k89 + 3*k104^2/(k89*k90) + k104^3/(k89*k90*k91))*(1 + 3*k104/k92 + 3*k104^2/(k92*k93) + k104^3/(k92*k93*k94))*k30) + 3*k104^4*x5*x1*x7/(k89*k92*k93*k94*k35*k34*k36*(1 + 3*k104/k89 + 3*k104^2/(k89*k90) + k104^3/(k89*k90*k91))*(1 + 3*k104/k92 + 3*k104^2/(k92*k93) + k104^3/(k92*k93*k94))*k32))))/k99,
  diff(x11, t) = 0,
  diff(x12, t) = 0,
  diff(x13, t) = 0,
  diff(x14, t) = (1*k99*k38*(k104*k105*k103 - k106*x14/k44)/(k39*k42*k40*(1 + k106/k43 + k105/k42)*(1 + k103/k40)*(1 + k104/k39 + x14/k41)) + 2*k99*k104*k105*k46*x5/(k47*k48*k49*(1 + k106/k51 + k105/k49)*(1 + x16/k52)*(1 + k104/k48 + x14/k50)*(1 + x5/k47 + x14/k50)) + (-1)*k99*k54*k56*k53*((-k109*x18*x5/k67) + k103*x17*x14)/(k61*k62*k63*(1 + k109/k65 + x18/k64 + k109*x18/(k64*k65) + x17/k61)*(1 + k103/k63 + x5/k66 + k103*x5/(k66*k63) + x14/k62 + k103*x14/(k62*k63))*(1 + 12^k58*(x10/(k55*k87))^k58)*(1 + 12^k59*(x10/(k57*k87))^k59)) + (-1)*k99*k68*((-x16/k70) + x14)/(k69*(1 + x16/k71 + x14/k69)))/k99,
  diff(x15, t) = 0,
  diff(x16, t) = (1*k99*k68*((-x16/k70) + x14)/(k69*(1 + x16/k71 + x14/k69)) + (-1)*k99*k80*((-k107/k82) + x16)/(k81*(1 + k107/k83 + x16/k81)))/k99,
  diff(x17, t) = ((-1)*k99*k54*k56*k53*((-k109*x18*x5/k67) + k103*x17*x14)/(k61*k62*k63*(1 + k109/k65 + x18/k64 + k109*x18/(k64*k65) + x17/k61)*(1 + k103/k63 + x5/k66 + k103*x5/(k66*k63) + x14/k62 + k103*x14/(k62*k63))*(1 + 12^k58*(x10/(k55*k87))^k58)*(1 + 12^k59*(x10/(k57*k87))^k59)) + 1*k99*k84*x18/(k85 + x18))/k99,
  diff(x18, t) = (1*k99*k54*k56*k53*((-k109*x18*x5/k67) + k103*x17*x14)/(k61*k62*k63*(1 + k109/k65 + x18/k64 + k109*x18/(k64*k65) + x17/k61)*(1 + k103/k63 + x5/k66 + k103*x5/(k66*k63) + x14/k62 + k103*x14/(k62*k63))*(1 + 12^k58*(x10/(k55*k87))^k58)*(1 + 12^k59*(x10/(k57*k87))^k59)) + (-1)*k99*k84*x18/(k85 + x18))/k99,
  diff(x19, t) = 0,
  diff(x20, t) = (1*k99*k72*((-x20/k74) + x5)/(k73*(1 + x20/k75 + x5/k73)) + (-1)*k99*k76*((-k108/k78) + x20)/(k77*(1 + k108/k79 + x20/k77)))/k99,
  diff(x21, t) = 0,
  diff(x22, t) = 0 }