{ diff(x1, t) = (1*k50*k24 + 1*k50*k26*x1*(1 - x1/k27)*x1^k28/(x1^k28 + k29^k28) + 1*k50*x8*k31*x6/(x6 + k30) + (-1)*k50*k35*x1*x6 + (-1)*k50*k32*x1*x6^k33/(x6^k33 + k34^k33) + (-1)*k50*k25*x1)/k50,
  diff(x2, t) = (1*k50*k37 + 1*k50*k38*x2*(1 - x2/k39)*x2/(x2 + k40) + (-1)*k50*k43*x2*x6/(x6 + k44)*x1^k41/(x1^k41 + k42^k41) + (-1)*k50*k36*x2)/k50,
  diff(x3, t) = (1*k50*k1 + 1*k50*k8*x3*(1 - x3/(k9 - k9*k10)) + 1*k50*x9*k11*x6/(x6 + k12) + 1*k50*k15*x4*x1/(x1 + k16) + (-1)*k50*k5*x3*x6/(x6 + k6) + (-1)*k50*k3*x3*x6/(x6 + k4) + (-1)*k50*k7*x3*x6 + (-1)*k50*k2*x3)/k50,
  diff(x4, t) = ((-1)*k50*k15*x4*x1/(x1 + k16) + 1*k50*k3*x3*x6/(x6 + k4) + (-1)*k50*k13*x4 + (-1)*k50*k14*x4*x6)/k50,
  diff(x5, t) = (1*k50*k5*x3*x6/(x6 + k6) + (-1)*k50*k18*x5*x7^k19/(x7^k19 + (k17*x5)^k19) + (-1)*k50*(1 - k22*x7/(x7 + k17 + x5))*k20*(x1 + x2/x5)/(x1 + x2/x5 + k21) + (-1)*k50*k23*x5)/k50,
  diff(x6, t) = ((-1)*k50*k5*x3*x6/(x6 + k6) + (-1)*k50*k7*x3*x6 + (-1)*k50*k35*x1*x6 + (-1)*k50*k14*x4*x6 + 1*k50*k18*x5*x7^k19/(x7^k19 + (k17*x5)^k19) + 1*k50*k46*x6*(1 - x6/k47) + (-1)*k50*k45*x6)/k50,
  diff(x7, t) = ((-1)*k50*k18*x5*x7^k19/(x7^k19 + (k17*x5)^k19) + (-1)*k50*k48*x7 + 1*k50*k49*x7*(1 - x7/(x7 + k17*x5)) + 1*k50*k5*x3*x7/(x7 + k4) + (-1)*k50*k20*(x1 + x2/x5)/(x1 + x2/x5 + k21))/k50,
  diff(x8, t) = (-1)*k50*x8*k31*x6/(x6 + k30)/k50,
  diff(x9, t) = (-1)*k50*x9*k11*x6/(x6 + k12)/k50 }