{ diff(x1, t) = ((-1)*k50*x1/(k49 + x1) + 1*k3*k6*k57*(x4/(17/50*(1 + x3/(57/100) + x2/(16/25))))^k58*x2/k59/((1 + (x4/(17/50*(1 + x3/(57/100) + x2/(16/25))))^k58)*(1 + x2/k59)))/k6,
  diff(x2, t) = ((-1)*k3*k6*k57*(x4/(17/50*(1 + x3/(57/100) + x2/(16/25))))^k58*x2/k59/((1 + (x4/(17/50*(1 + x3/(57/100) + x2/(16/25))))^k58)*(1 + x2/k59)) + 1*k6*k60*x3/x2 + 2*k6*k75*(x3*x6 - k76*x2*x2))/k6,
  diff(x3, t) = (1*k3*k6*k57*(x4/(17/50*(1 + x3/(57/100) + x2/(16/25))))^k58*x2/k59/((1 + (x4/(17/50*(1 + x3/(57/100) + x2/(16/25))))^k58)*(1 + x2/k59)) + (-1)*k6*k60*x3/x2 + (-1)*k6*k75*(x3*x6 - k76*x2*x2))/k6,
  diff(x4, t) = ((-1)*k3*k6*k57*(x4/(17/50*(1 + x3/(57/100) + x2/(16/25))))^k58*x2/k59/((1 + (x4/(17/50*(1 + x3/(57/100) + x2/(16/25))))^k58)*(1 + x2/k59)) + 1*k5*k6*(k73*x5/k71 - k74*x4/k72)/(1 + x5/k71 + x4/k72))/k6,
  diff(x5, t) = (1*k4*k6*(k69*x7/k67 - k70*x5/k68)/(1 + x7/k67 + x5/k68) + (-1)*k5*k6*(k73*x5/k71 - k74*x4/k72)/(1 + x5/k71 + x4/k72))/k6,
  diff(x6, t) = (-1)*k6*k75*(x3*x6 - k76*x2*x2)/k6,
  diff(x7, t) = ((-1)*k4*k6*(k69*x7/k67 - k70*x5/k68)/(1 + x7/k67 + x5/k68) + 1*(k79*x23 - k80*x7))/k6,
  diff(x8, t) = (1*k6*k48*x9/(k47 + x9) + (-1)*(k81*x22*x8 - k82*x9*x17))/k6,
  diff(x9, t) = ((-1)*k6*k48*x9/(k47 + x9) + 1*(k81*x22*x8 - k82*x9*x17))/k6,
  diff(x10, t) = (1*k9*(k85 - x10)/(k10 + k85 + x10 + k11*k85*x10/k10) + (-1)*k1*k7*k12*x10/k13*x11/k14/((1 + x11/k14 + x12/k15)*(1 + x10/k13 + x14/k16)))/k7,
  diff(x11, t) = ((-1)*k1*k7*k12*x10/k13*x11/k14/((1 + x11/k14 + x12/k15)*(1 + x10/k13 + x14/k16)) + (-1)*k2*k7*k21*k22/(k22 + x16)*x15/k23*x11/k24/((1 + x15/k23 + x16/k25)*(1 + x11/k24)) + 1*k7*k51*(x21/k52*x12/k53 - k54*x23/k55*x11/k56)/((1 + x21/k52 + x23/k55)*(1 + x12/k53 + x11/k56)) + 1*k7*k61*(x22/k62*x12/k63 - k64*x24/k65*x11/k66)/((1 + x22/k62 + x24/k65)*(1 + x12/k63 + x11/k66)) + (-1)*k7*k77*(x11*x13 - k78*x12*x12))/k7,
  diff(x12, t) = (1*k1*k7*k12*x10/k13*x11/k14/((1 + x11/k14 + x12/k15)*(1 + x10/k13 + x14/k16)) + 1*k2*k7*k21*k22/(k22 + x16)*x15/k23*x11/k24/((1 + x15/k23 + x16/k25)*(1 + x11/k24)) + (-1)*k7*k51*(x21/k52*x12/k53 - k54*x23/k55*x11/k56)/((1 + x21/k52 + x23/k55)*(1 + x12/k53 + x11/k56)) + (-1)*k7*k61*(x22/k62*x12/k63 - k64*x24/k65*x11/k66)/((1 + x22/k62 + x24/k65)*(1 + x12/k63 + x11/k66)) + 2*k7*k77*(x11*x13 - k78*x12*x12))/k7,
  diff(x13, t) = (-1)*k7*k77*(x11*x13 - k78*x12*x12)/k7,
  diff(x14, t) = (1*k1*k7*k12*x10/k13*x11/k14/((1 + x11/k14 + x12/k15)*(1 + x10/k13 + x14/k16)) + (-1)*k7*(k19*x14/k17 - k20*x15/k18)/(1 + x14/k17 + x15/k18))/k7,
  diff(x15, t) = (1*k7*(k19*x14/k17 - k20*x15/k18)/(1 + x14/k17 + x15/k18) + (-1)*k2*k7*k21*k22/(k22 + x16)*x15/k23*x11/k24/((1 + x15/k23 + x16/k25)*(1 + x11/k24)))/k7,
  diff(x16, t) = (1*k2*k7*k21*k22/(k22 + x16)*x15/k23*x11/k24/((1 + x15/k23 + x16/k25)*(1 + x11/k24)) + (-1)*k7*k26*(x16 - x18*x17/k27)/(9/1000*(1 + x11/(17/25) + x12/(151/100) + x13/(73/20)) + x16 + x18*3/200*(1 + x11/(17/25) + x12/(151/100) + x13/(73/20))/k27*1/k28 + x17*k29/k27*1/k28 + x16*x18/k30 + x18*x17/k27*1/k28))/k7,
  diff(x17, t) = (1*k7*k26*(x16 - x18*x17/k27)/(9/1000*(1 + x11/(17/25) + x12/(151/100) + x13/(73/20)) + x16 + x18*3/200*(1 + x11/(17/25) + x12/(151/100) + x13/(73/20))/k27*1/k28 + x17*k29/k27*1/k28 + x16*x18/k30 + x18*x17/k27*1/k28) + (-1)*k7*(k33*x17/k31 - k34*x18/k32)/(1 + x17/k31 + x18/k32) + (-1)*k7*k41*(x17/k42*x20/k43 - k44*x19/k45*x22/k46)/((1 + x17/k42 + x22/k46)*(1 + x20/k43 + x19/k45)) + 1*(k81*x22*x8 - k82*x9*x17))/k7,
  diff(x18, t) = (1*k7*k26*(x16 - x18*x17/k27)/(9/1000*(1 + x11/(17/25) + x12/(151/100) + x13/(73/20)) + x16 + x18*3/200*(1 + x11/(17/25) + x12/(151/100) + x13/(73/20))/k27*1/k28 + x17*k29/k27*1/k28 + x16*x18/k30 + x18*x17/k27*1/k28) + 1*k7*(k33*x17/k31 - k34*x18/k32)/(1 + x17/k31 + x18/k32) + (-1)*k7*k35*(x18/k36*x19/k37 - k38*x21/k39*x20/k40)/((1 + x18/k36 + x21/k39)*(1 + x19/k37 + x20/k40)))/k7,
  diff(x19, t) = ((-1)*k7*k35*(x18/k36*x19/k37 - k38*x21/k39*x20/k40)/((1 + x18/k36 + x21/k39)*(1 + x19/k37 + x20/k40)) + 1*k7*k41*(x17/k42*x20/k43 - k44*x19/k45*x22/k46)/((1 + x17/k42 + x22/k46)*(1 + x20/k43 + x19/k45)))/k7,
  diff(x20, t) = (1*k7*k35*(x18/k36*x19/k37 - k38*x21/k39*x20/k40)/((1 + x18/k36 + x21/k39)*(1 + x19/k37 + x20/k40)) + (-1)*k7*k41*(x17/k42*x20/k43 - k44*x19/k45*x22/k46)/((1 + x17/k42 + x22/k46)*(1 + x20/k43 + x19/k45)))/k7,
  diff(x21, t) = (1*k7*k35*(x18/k36*x19/k37 - k38*x21/k39*x20/k40)/((1 + x18/k36 + x21/k39)*(1 + x19/k37 + x20/k40)) + (-1)*k7*k51*(x21/k52*x12/k53 - k54*x23/k55*x11/k56)/((1 + x21/k52 + x23/k55)*(1 + x12/k53 + x11/k56)))/k7,
  diff(x22, t) = (1*k7*k41*(x17/k42*x20/k43 - k44*x19/k45*x22/k46)/((1 + x17/k42 + x22/k46)*(1 + x20/k43 + x19/k45)) + (-1)*k7*k61*(x22/k62*x12/k63 - k64*x24/k65*x11/k66)/((1 + x22/k62 + x24/k65)*(1 + x12/k63 + x11/k66)) + (-1)*(k81*x22*x8 - k82*x9*x17))/k7,
  diff(x23, t) = (1*k7*k51*(x21/k52*x12/k53 - k54*x23/k55*x11/k56)/((1 + x21/k52 + x23/k55)*(1 + x12/k53 + x11/k56)) + (-1)*(k79*x23 - k80*x7))/k7,
  diff(x24, t) = (1*k7*k61*(x22/k62*x12/k63 - k64*x24/k65*x11/k66)/((1 + x22/k62 + x24/k65)*(1 + x12/k63 + x11/k66)) + (-1)*(k83*x24 - k84*k87))/k7,
  diff(x25, t) = 0,
  diff(x26, t) = 0,
  diff(x27, t) = 0 }