14.9(ab) DYNAMIC MODELING OF A CHEMOSTAT |POLVER05_0 |1
d(V)/d(t) = If (V) <= (1.0) Then (F0) Else (0) # Chemostat volume in ml
d(Nx)/d(t) = -F * X + (mum * S / (Ks + S + I * Ks / KI) - kd) * V * X # Mass of cells in chemostat in g
d(Ns)/d(t) = F0 * S0 - F * S - V * X / Yxs * mum * S / (Ks + S + I * Ks / KI) # Mass of substrate in chemostat in g
F = If (V <= 1.0) Then (0) Else (F0)
F0 =If (V <= 1.0) Then ( 0.25) Else (1) # dm3/hr
Yxs = 0.15
S0 = 12
kd = 0.04
KI = 0.02
Ks = 0.9
mum = 1.6
X = Nx / V # Concentration of cells in mg/ml or g/L or g/dm3
S = Ns / V # Concentration of substrate in mg/ml or g/L or g/dm3
D = F / V
I = 0.0
t(0) = 0
t(f) = 10
V(0) = .1
Nx(0) = .01
Ns(0) = 0