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Diffstat (limited to '1202/CH22/EX22.1/22_1.sce')
-rwxr-xr-x | 1202/CH22/EX22.1/22_1.sce | 53 |
1 files changed, 53 insertions, 0 deletions
diff --git a/1202/CH22/EX22.1/22_1.sce b/1202/CH22/EX22.1/22_1.sce new file mode 100755 index 000000000..431391e03 --- /dev/null +++ b/1202/CH22/EX22.1/22_1.sce @@ -0,0 +1,53 @@ +clear +clc + +//Example 22.1 +disp('Example 22.1') + +//Parameters +Yxs=0.4;B=0.2;Pm=50;Ki=22; +a=2.2;mu_m=0.48;Km=1.2;Sf=20; + + +//ODE model +function ydot=model(t,y,D) + X=y(1);S=y(2);P=y(3); + + Xdot=-D*X+mu(S,P)*X; + Sdot=D*(Sf-S)-1/Yxs*mu(S,P)*X; + Pdot=-D*P+[a*mu(S,P)+B]*X + + ydot=[Xdot Sdot Pdot]'; +endfunction + +//Rate law +function mu=mu(S,P) + mu=mu_m*(1-P/Pm)*S/(Km+S+S^2/Ki); +endfunction + +t=0:0.1:100;t0=0; +y0=[6 5 19.14]';//Initial stable condition + +D=0.202*1.1;//10% increase +y_up = ode(y0, t0, t, list(model,D)) +D=0.202*0.9;//10% decrease +y_down = ode(y0, t0, t, list(model,D)) + +subplot(2,1,1); +plot(t,y_up(1,:),color='red'); +plot(t,y_down(1,:)); +xtitle("$D=0.202\ h^{-1}$","Time(h)","Biomass (g/L)") +legend("Dilution +10%","Dilution -10%") + +subplot(2,1,2); +t=0:0.1:100;t0=0; +y0=[6 5 44.05]';//Initial stable condition +D=0.0389*1.1;//10% increase +y_up = ode(y0, t0, t, list(model,D)) +D=0.0389*0.9;//10% decrease +y_down = ode(y0, t0, t, list(model,D)) + +plot(t,y_up(1,:),color='red'); +plot(t,y_down(1,:)) +xtitle("$D=0.0389\ h^{-1}$","Time(h)","Biomass (g/L)"); +legend("Dilution +10%","Dilution -10%") |