Created
July 4, 2011 18:12
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A function for getting F and My from simulation results
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function dydt=FBmodel(t,y) | |
%global y2 | |
% Model file to be initiated by FBstart.m | |
% extract variable from y-vector | |
X=y(1); | |
S=y(2); | |
V=y(3); | |
% Constants | |
qSmax=1.6; | |
Ks=0.1; | |
qm=0.04; | |
Yem=0.5; | |
Si=500; | |
F0=0.03; | |
SFR=0.3; | |
Fmax=0.8; | |
% algorithm | |
F=F0*exp(SFR*t); | |
if F>Fmax | |
F=Fmax; | |
end | |
qS=qSmax*S/(S+Ks); | |
My=(qS-qm)*Yem; | |
dXdt=-F/V*X+My*X; | |
dSdt=F/V*(Si-S)-qS*X; | |
dVdt=F; | |
% make a dydt column vector | |
dydt=[dXdt; dSdt; dVdt]; | |
% Store non-differential variables in y2 | |
%y2=[y2;[t,F,My]]; |
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% FBstart; Initiation file for fed-batch simulation. | |
% Requires a seperate model file | |
clear all | |
global y2 | |
y2=[]; % for storage of non differential equation variables | |
tspan=[0 50]; % % time scale | |
% enter initial values and locate in column vector | |
X=0.5; | |
S=0.1; | |
V=40; | |
y=[X;S;V;]; | |
% call ODE solver and the model file | |
[t y]=ODE23s('FBmodel',tspan,y); | |
[simulated_My, simulated_F] = GetValues(t,y); % Get the simulated My and F values from this run | |
[t_prev, y_prev] = textread('') %do whatever you need here to load in the T and Y values from the text-file | |
[prev_My prev_F] = GetValues(t_prev, y_prev); %get My and F values from the text-data | |
prev_My = interp1(t_prev, prev_my, t); | |
prev_F = interp1(t_prev, prev_F, t); | |
% This stuff is no longer needed | |
%if isempty(y2)==0 | |
% % eliminates duplicates | |
% | |
% y2(find(diff(y2(:,1))<diff(tspan)/1000),:)=[]; | |
% y2(find(diff(y2(:,1))<0),:)=[]; | |
% | |
% % match to y-vector size | |
% | |
% y2=interp1(y2(:,1),y2(:,2:length(y2(1,:))),t); | |
% | |
% % merge with y-vector | |
% | |
% y=[y,y2]; | |
% end | |
% scale max values for scaling in graph | |
ymax=[100,1,100,1,1]; %X,S,V,F, My | |
% scale values to a 0-100 scale | |
for i=1:length(ymax) | |
yscaled(:,i)=y(:,i)/ymax(i)*100; | |
end | |
% plot and label | |
yplot=plot(t,yscaled); | |
set(gca,'YLim',[0 100]) | |
legend('X: 0-100 g/L','S: 0-1 g/L','V: 0-100 L','F:0-1 L/h','My: 0-1 /h') | |
xlabel('time (hrs)') | |
title('Fed-batch with eponential/constant feed') | |
figure(gcf) |
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function [F, My] = GetValues(in_t, indata) | |
X=indata(:,1); | |
S=indata(:,2); | |
V=indata(:,3); | |
% Constants | |
qSmax=1.6; | |
Ks=0.1; | |
qm=0.04; | |
Yem=0.5; | |
Si=500; | |
F0=0.03; | |
SFR=0.3; | |
Fmax=0.8; | |
% algorithm | |
F=min(F0*exp(SFR*in_t), Fmax); | |
if F>Fmax | |
F=Fmax; | |
end | |
qS=qSmax*S/(S+Ks); | |
My=(qS-qm)*Yem; | |
% make a dydt column vector | |
% Store non-differential variables in y2 |
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