<html>
<head>
<meta content="text/html; charset=ISO-8859-1"
http-equiv="Content-Type">
</head>
<body bgcolor="#FFFFFF" text="#330000">
Hi<br>
<br>
Maybe you should look at x (the output of ode) without ploting it.
That way you'll make sure if the problem comes from the plot or not<br>
<br>
Can you attach a file with the new code?<br>
<br>
On 06/10/2011 10:00, Jaundre Venter wrote:
<blockquote
cite="mid:CAHM=geHxG1ChazN_wjDtf1rRSaUEh5fCHEcMEa7xSrwx1EJ9bg@mail.gmail.com"
type="cite">Hi<br>
<br>
okay i have made the changes and the reaction curves are looking
better but for some reason i still get no reaction on the last
three curves. It is just showing a straight line. can it be that i
have choosen to plot the wrong type of graph? Maybe because of a
time value or to much ODE"s?<br>
<br>
<div class="gmail_quote">On Wed, Oct 5, 2011 at 10:24 PM, Jaundre
Venter <span dir="ltr"><<a moz-do-not-send="true"
href="mailto:jaundreventer@gmail.com">jaundreventer@gmail.com</a>></span>
wrote:<br>
<blockquote class="gmail_quote" style="margin:0 0 0
.8ex;border-left:1px #ccc solid;padding-left:1ex;">
Thank you very much Adrien.<br>
<br>
always nice if someone can explain to you where your problems
are and why. Thanks<br>
<br>
Was there any other problems you saw that i have to be aware
of?
<div>
<div class="h5"><br>
<br>
<div class="gmail_quote">On Wed, Oct 5, 2011 at 5:38 PM,
Adrien Vogt-Schilb <span dir="ltr"><<a
moz-do-not-send="true"
href="mailto:vogt@centre-cired.fr" target="_blank">vogt@centre-cired.fr</a>></span>
wrote:<br>
<blockquote class="gmail_quote" style="margin:0 0 0
.8ex;border-left:1px #ccc solid;padding-left:1ex">
<div bgcolor="#FFFFFF" text="#330000"> Hi<br>
<br>
When you use ode, it's ok, if say, dx(1) depends on
dx(4).<br>
but you still have say that to scilab properly,
something like:<br>
<br>
function dx = f(t,x)<br>
<span style="background-color:rgb(255, 255,
255);color:rgb(51, 102, 255)">dx(6)=((F+Fab+Floss)*<font
color="#000000">(x(2</font>))), // culture
Volume V</span><br>
<span style="background-color:rgb(255, 255,
255);color:rgb(51, 102, 255)">dx(1)=(((mu)*(x(1)))-(((x(1))/(x(6)))*((<font
color="#000000">dx(6)</font>)))*(CO)*(</span><span
style="background-color:rgb(255, 255,
255);color:rgb(51, 102, 255)"><font
color="#000000">x(2</font>))</span><span
style="background-color:rgb(255, 255,
255);color:rgb(51, 102, 255)">)), //biomass
concentration X</span><br>
and so one<br>
<br>
note that because i had to know dx(6) to compute
dx(1) i just computed dx(6) before dx(1): no
problem. and note that i used x(2). The idea of the
ode is to compute dx from x!<br>
<br>
make sure you understand that using dx_6 instead of
dx(6), your ODE solver is not updating dx_6 at each
time step, it is using the initial and only dx_6
forever. That's why your last varaibles do not move,
somehow their speeds are never updated.<br>
for instance, <span
style="background-color:rgb(255, 255,
255);color:rgb(51, 102, 255)">dx(6)=((F+Fab+Floss)*(HION)),
// culture Volume V <font color="#000000">is
constance in time (i guess)</font></span>
<div>
<div><br>
<br>
<br>
On 05/10/2011 15:00, Jaundre Venter wrote:
<blockquote type="cite">Hi Adrien<br>
<br>
i am new to SCILAB! I just want to say that.<br>
<br>
Yes dx_1 is equal to dx1 but the only reason
why i have programmed it like that is becasue
the ODE's looks as follows - (see word file
attached that can explain the ODE"s better.
with regards to the HION and CO it actually
refers to [H+] and CO2 as you said. the only
reason why n multiplied HION and CO wit hsome
ODE's is because some does have a influence on
some ODE's.<br>
<br>
This is the first time i am working with
SCILAB thus i am struggling to understand how
SCILAB wants the code so that all 9 ODE's are
shown and so that the ODE's that is having a
effect on other does happen. I though if you
refer to dx(1) for example in a other ODE it
means that SCILAb will know the dx(1) has a
influence on the other ODE.<br>
<br>
The main goal of my assesment is to deliver
similar results obtained from MATLAB on
SCILAB. all i got was how the grpahs should
look like and the ODE's.<br>
<br>
<div class="gmail_quote">On Wed, Oct 5, 2011
at 2:43 PM, Adrien Vogt-Schilb <span
dir="ltr"><<a moz-do-not-send="true"
href="mailto:vogt@centre-cired.fr"
target="_blank">vogt@centre-cired.fr</a>></span>
wrote:<br>
<blockquote class="gmail_quote"
style="margin:0 0 0 .8ex;border-left:1px
#ccc solid;padding-left:1ex">
<div bgcolor="#FFFFFF" text="#330000"> Hi<br>
<br>
Try to isalote your problem<br>
if i understood well, the following code
<div><br>
<br>
<span style="color:rgb(51, 51, 255)">//
initial values </span><br
style="color:rgb(51, 51, 255)">
<span style="color:rgb(51, 51, 255)">x0=[0.1,
1e-5, 0, 15, 1.16, 100,0,297,0.5]';</span><br
style="color:rgb(51, 51, 255)">
<span style="color:rgb(51, 51, 255)">t=0:0.005:400;</span><br
style="color:rgb(51, 51, 255)">
<span style="color:rgb(51, 51, 255)">y=ode(x0,
0, t, f);</span><span
style="background-color:rgb(255,
255, 255);color:rgb(51, 51, 255)"><br>
<br>
</span></div>
returns y such that sum(y(6:9,:)>x0)
== 0 ?<br>
if this is true, we do not need the
plots to solve the problem<br>
can you check that ?<br>
<br>
I believe the f function is erroneous.<br>
It seems that dx_1 should be equal to
dx(1) at each time step, and that HION
should be equal to x(2) at each time
step, etc.<br>
<br>
in other terms, some of your phisical
variables seem to be represented by to
variables (i am guessing HION=[H+] and
x(2)=[H+] also) but scilab does not have
any chance to know that.<br>
if my guess is right, you have to
rewrite the f function in a way that
eliminates all references to HION, dx_1,
dx_6 and so on
<div>
<div><br>
<br>
On 05/10/2011 14:27, Jaundre Venter
wrote:
<blockquote type="cite">Hi all<br>
<br>
Can someone please explain to me
the following:<br>
<br>
I am busy with a project of
simulation the production of
penicillin in a bio reactor. Now i
have 9 ODE's which i want to
simulate.<br>
<br>
now for some reason the last three
graphs i am getting doesn't show
any response what so ever. i am
using the following code.<br>
<br>
<span
style="background-color:rgb(255,
255, 255);color:rgb(51, 102,
255)">dx(1)=(((mu)*(x(1)))-(((x(1))/(x(6)))*((dx_6)))*(CO)*(HION)),
//biomass concentration X</span><br
style="background-color:rgb(255,
255, 255);color:rgb(51, 102,
255)">
<span
style="background-color:rgb(255,
255, 255);color:rgb(51, 102,
255)">dx(2)=((z*(((mu)*(x(1)))-(((F)*(x(1)))/(x(6)))))+(QQ)),
//hydrogen ion concentration H+</span><br
style="background-color:rgb(255,
255, 255);color:rgb(51, 102,
255)">
<span
style="background-color:rgb(255,
255, 255);color:rgb(51, 102,
255)">dx(3)=((((mupp)*(x(1)))-((K)*(x(3)))-((x(3))/(x(6)))*(dx_6))*(HION)),
//Penicilin concentration P</span><br
style="background-color:rgb(255,
255, 255);color:rgb(51, 102,
255)">
<span
style="background-color:rgb(255,
255, 255);color:rgb(51, 102,
255)">dx(4)=((-((mu)/(Yxs))*(x(1)))-(((mupp)/(Yps))*(x(1)))-((mx)*(x(1)))+((Fsf)/(x(6)))-((x(4)/(x(6)))*(dx_6))),
//Substrate concentration S</span><br
style="background-color:rgb(255,
255, 255);color:rgb(51, 102,
255)">
<span
style="background-color:rgb(255,
255, 255);color:rgb(51, 102,
255)">dx(5)=(-(((mu)/(Yxo))*(x(1)))-(((mupp)/(Ypo))*(x(1)))-(((mo))*(x(1)))+((kla)*(cll-(x(5))))-(((x(5))/(x(6)))*(dx_6))),
//dissolved oxygen</span><br
style="background-color:rgb(255,
255, 255);color:rgb(51, 102,
255)">
<span
style="background-color:rgb(255,
255, 255);color:rgb(51, 102,
255)">dx(6)=((F+Fab+Floss)*(HION)),
// culture Volume V</span><br
style="background-color:rgb(255,
255, 255);color:rgb(51, 102,
255)">
<span
style="background-color:rgb(255,
255, 255);color:rgb(51, 102,
255)">dx(7)=(((rq1)*(dx_1)*(x(6)))+(rq2)*(x(1))*(x(6))),
//Heat generation Qrxn</span><br
style="background-color:rgb(255,
255, 255);color:rgb(51, 102,
255)">
<span
style="background-color:rgb(255,
255, 255);color:rgb(51, 102,
255)">dx(8)=((((F)/(sf))*(Tf-(x(8))))+(1/((x(6))*(pcp)))*(QT)),
// Temperature T</span><br
style="background-color:rgb(255,
255, 255);color:rgb(51, 102,
255)">
<span
style="background-color:rgb(255,
255, 255);color:rgb(51, 102,
255)">dx(9)=(((a1)*(dx_1))+((a2)*(x(1)))+(a3)),
// CO2 evolution, CO2</span><br
style="background-color:rgb(255,
255, 255);color:rgb(51, 102,
255)">
<span
style="background-color:rgb(255,
255, 255);color:rgb(51, 102,
255)">endfunction</span><br
style="background-color:rgb(255,
255, 255)">
<br>
now when i ask for plotting the
graphs i am using the following.:<br>
<br>
<span style="color:rgb(51, 51,
255)">// initial values </span><br
style="color:rgb(51, 51, 255)">
<span style="color:rgb(51, 51,
255)">x0=[0.1, 1e-5, 0, 15,
1.16, 100,0,297,0.5]';</span><br
style="color:rgb(51, 51, 255)">
<span style="color:rgb(51, 51,
255)">t=0:0.005:400;</span><br
style="color:rgb(51, 51, 255)">
<span style="color:rgb(51, 51,
255)">y=ode(x0, 0, t, f);</span><span
style="background-color:rgb(255,
255, 255);color:rgb(51, 51,
255)"></span><br
style="color:rgb(51, 51, 255)">
<br style="color:rgb(51, 51, 255)">
<span style="color:rgb(51, 51,
255)">// the plots of each
variable</span><br
style="color:rgb(51, 51, 255)">
<span style="color:rgb(51, 51,
255)">da.title.text="BIOMASS
CONCENTRATION"</span><br
style="color:rgb(51, 51, 255)">
<span style="color:rgb(51, 51,
255)">da.x_label.text="Time,
hours";</span><br
style="color:rgb(51, 51, 255)">
<span style="color:rgb(51, 51,
255)">da.y_label.text="X,g/l ";</span><br
style="color:rgb(51, 51, 255)">
<span style="color:rgb(51, 51,
255)">scf(1);clf; //Opens and
clears figure 1</span><br
style="color:rgb(51, 51, 255)">
<span style="color:rgb(51, 51,
255)">plot(t,y(1,:))</span><br
style="color:rgb(51, 51, 255)">
<br style="color:rgb(51, 51, 255)">
<span style="color:rgb(51, 51,
255)">da.title.text="HYDROGEN
ION H+ CONCENTRATION"</span><br
style="color:rgb(51, 51, 255)">
<span style="color:rgb(51, 51,
255)">da.y_label.text="H+,mol/l
";</span><br
style="color:rgb(51, 51, 255)">
<span style="color:rgb(51, 51,
255)">scf(2);clf; //Opens and
clears figure 2</span><br
style="color:rgb(51, 51, 255)">
<span style="color:rgb(51, 51,
255)">plot(t,y(2,:))</span><br
style="color:rgb(51, 51, 255)">
<br style="color:rgb(51, 51, 255)">
<span style="color:rgb(51, 51,
255)">da.title.text="PENICILLIN
CONCENTRATION"</span><br
style="color:rgb(51, 51, 255)">
<span style="color:rgb(51, 51,
255)">da.y_label.text="P,g/l ";</span><br
style="color:rgb(51, 51, 255)">
<span style="color:rgb(51, 51,
255)">scf(3);clf; //Opens and
clears figure 3</span><br
style="color:rgb(51, 51, 255)">
<span style="color:rgb(51, 51,
255)">plot(t,y(3,:))</span><br
style="color:rgb(51, 51, 255)">
<br style="color:rgb(51, 51, 255)">
<span style="color:rgb(51, 51,
255)">da.title.text="SUBSTRATE
CONCENTRATION"</span><br
style="color:rgb(51, 51, 255)">
<span style="color:rgb(51, 51,
255)">da.y_label.text="S,g/l ";</span><br
style="color:rgb(51, 51, 255)">
<span style="color:rgb(51, 51,
255)">scf(4);clf; //Opens and
clears figure 4</span><br
style="color:rgb(51, 51, 255)">
<span style="color:rgb(51, 51,
255)">plot(t,y(4,:))</span><br
style="color:rgb(51, 51, 255)">
<br style="color:rgb(51, 51, 255)">
<span style="color:rgb(51, 51,
255)">da.title.text="DISSOLVED
OXYGEN CONCENTRATION"</span><br
style="color:rgb(51, 51, 255)">
<span style="color:rgb(51, 51,
255)">da.y_label.text="C_l,g/l
";</span><br
style="color:rgb(51, 51, 255)">
<span style="color:rgb(51, 51,
255)">scf(5);clf; //Opens and
clears figure 5</span><br
style="color:rgb(51, 51, 255)">
<span style="color:rgb(51, 51,
255)">plot(t,y(5,:))</span><br
style="color:rgb(51, 51, 255)">
<br style="color:rgb(51, 51, 255)">
<span style="color:rgb(51, 51,
255)">da.title.text="CULTURE
VOLUME"</span><br
style="color:rgb(51, 51, 255)">
<span style="color:rgb(51, 51,
255)">da.y_label.text="V,l";</span><br
style="color:rgb(51, 51, 255)">
<span style="color:rgb(51, 51,
255)">scf(6);clf; //Opens and
clears figure 6</span><br
style="color:rgb(51, 51, 255)">
<span style="color:rgb(51, 51,
255)">plot(t,y(6,:))</span><br
style="color:rgb(51, 51, 255)">
<br style="color:rgb(51, 51, 255)">
<span style="color:rgb(51, 51,
255)">da.title.text="HEAT OF
REACTION"</span><br
style="color:rgb(51, 51, 255)">
<span style="color:rgb(51, 51,
255)">da.y_label.text="Qrxn,cal";</span><br
style="color:rgb(51, 51, 255)">
<span style="color:rgb(51, 51,
255)">scf(7);</span><br
style="color:rgb(51, 51, 255)">
<span style="color:rgb(51, 51,
255)">clf; //Opens and clears
figure 7</span><br
style="color:rgb(51, 51, 255)">
<span style="color:rgb(51, 51,
255)">plot(t,y(7),:)</span><br
style="color:rgb(51, 51, 255)">
<br style="color:rgb(51, 51, 255)">
<span style="color:rgb(51, 51,
255)">da.title.text="TEMPERATURE"</span><br
style="color:rgb(51, 51, 255)">
<span style="color:rgb(51, 51,
255)">da.y_label.text="T,Kelvin";</span><br
style="color:rgb(51, 51, 255)">
<span style="color:rgb(51, 51,
255)">scf(8);</span><br
style="color:rgb(51, 51, 255)">
<span style="color:rgb(51, 51,
255)">clf; //Opens and clears
figure 8</span><br
style="color:rgb(51, 51, 255)">
<span style="color:rgb(51, 51,
255)">plot(t,y(8),:)</span><br
style="color:rgb(51, 51, 255)">
<br style="color:rgb(51, 51, 255)">
<span style="color:rgb(51, 51,
255)">da.title.text="CO2
EVOLUTION"</span><br
style="color:rgb(51, 51, 255)">
<span style="color:rgb(51, 51,
255)">da.y_label.text="CO2,mmol/l/";</span><br
style="color:rgb(51, 51, 255)">
<span style="color:rgb(51, 51,
255)">scf(9);</span><br
style="color:rgb(51, 51, 255)">
<span style="color:rgb(51, 51,
255)">clf; //Opens and clears
figure 9</span><br
style="color:rgb(51, 51, 255)">
<span style="color:rgb(51, 51,
255)">plot(t,y(9),:)</span><br>
<br>
Am i doing something wrong? before
the ODE's i have just programmed
the initial values and constants :<br>
<br>
f<span style="color:rgb(51, 102,
255)">uncprot(0);</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">function dx = f(t,x)</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">K1=1.0e-10 //mol/l</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">K2=7.0e-05 //mol/l</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">Kx=0.15 //
Contois saturation constant, g/l</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">Kox=2e-02 //
oxygen limitation constant</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">mux=0.092 //
maitenance coefficient on
subsrate</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">p=3
//constant</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">Kp=0.0002 //
inhibition constant</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">Kop=2e-02 // oxygen
limitation constant</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">K=0.04 // Penicillin
hydrolysis constant, per h</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">Yxs=0.45 // yield
constant,g biomass/g glucose =
dimensionless</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">Yps=0.90 // yield
constant, g pinicillin/ g
glucose = dimensionless</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">mx= 0.014 //
Maintenance coefficient on
substrate, per h </span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">Yxo=0.04 // yield
constant, g biomass/g oxygen =
dimensionless</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">Ypo=0.20 // yield
constant, g penicillin/g oxygen=
dimensionless</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">mo= 0.467 //
maintenance coefficient of
oxygen, per h</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">mup=0.0005 // specific
rate of penicilline production
(per h)</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">sf=600 // Feed substrate
concentration, g/l</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">kla=23 // function of
agitation power input and oxugen
flow rate, dimensional</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">cll=1.16 // dissolved
oxygen concentration, g/l</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">Cab=3 //
concentrations in both solutions</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">Fa=5 // acid flow
rate, l/h !! </span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">Fb=5 // base flow
rate, l/h !! </span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">delta_t=0.01 // time
step in digital PID controller -
arbitrary value!!!</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">z=10e-5 // constant</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">F=0.042 // feed
substrate flow rate l/h </span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">T0=273 //
temperature at freezing, K</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">Tv=373 //
temperature at boiling</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">T=298 // feed temp of
substrate</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">h=(2.5e-4) //
constant</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">Floss=(x(6)*(h)*(exp(5)*((T-T0)/(Tv-T0))))</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">Fab=Fa+Fb // volume
increase due to influx of acid
Fa and base Fb</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">Fsf=((sf)*(F))</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">kg= 7e-3 // Arrhenius
constant for growth</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">kd=10e33 // Arrhenius
constant for cell death</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">Eg= 5100 // Activation
energy for growth, cal/mol</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">Ed= 50000 // Activation
energy for cell death, cal/mol</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">R= 1.987 // gas
constant, cal/mol k</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">T= 297 // Temperature</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">RT= R*T</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">alpa= 70 // constant in
Kla</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">betha= 0.4 // constant
in Kla</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">Pw= 30 // Agitation
power input, W</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">fg= 8.6 // Flow rate of
oxygen</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">V=100 // Volume</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">QE=
((kg*exp(-(Eg/RT)))-(kd*exp(-(Ed/RT))))</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">kla=
alpa*((sqrt(fg)*(Pw/x(6)))^betha)</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">mu
=(((mux)/(1+((K1)/(x(2)))+((x(2))/(K2))))*((x(3))/(((Kx)*(x(1)))+(x(3))))*((x(5))/(((Kox)*(x(1)))+(x(5))))*(QE))
// Specific growth rate</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">mupp =
((mup)*((x(4))/((Kp)+(x(4))+(x(4)^2)/(K1)))*((x(5)^p)/((Kop)*(x(1)))+(x(5)^p)))
// Specific penicillin
production rate</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">B
=(((1e-14/x(2)-x(2))*x(6)-Cab*(Fa+Fb)*delta_t)/(x(6)+(Fa+Fb)*delta_t))</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">QQ
=((-B+sqrt(B^2+4e-14))/2-(x(2)))*(1/delta_t)</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">dx_6 = (F+Fab+Floss)
//Culture Volume V</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">dx_1 =
(((mu)*(x(1)))-((x(1))/(x(6)))*(dx_6))
//biomass concentration X</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">rq1 = 60 // yield of
heat generation, cal/g biomass</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">rq2 = 1.6783e-4 //
Constant, cal/g biomass h</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">Tf = 296 // substrate
feed temperature, Kelvin</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">a = 1000 // heat
transfer coefficient of
cooling/heating liquid, cal/h
degree C</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">b = 0.60 // constant</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">Fc=0.1 // Cooling water
flow rate, not sure about value,
l/h</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">pcCpc = 1/2000 //
Density times heat capacity of
cooling liquid, per l degree C</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">pcp = 1/1500 // density
times heat capacity of medium</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">QT =
((x(7)-(((a)*(Fc^b+1))/((Fc)+((a)*(Fc^b))/2*pcCpc))))</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">a1=0.143 // constant
relating CO2 to growth, mmol
CO2/g biomass</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">a2=4e-7 // Constant
relating CO2 to mainteneance
energy, mmol CO2/g biomass h</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">a3=1e-4 // Constant
relating CO2 to penicillin
production, mmol CO2/l h</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">CO=
(((a1)*(dx_1))+((a2)*(x(1)))+(a3)),
// CO2 evolution, CO2</span><br
style="color:rgb(51, 102, 255)">
<span style="color:rgb(51, 102,
255)">HION=((z*(((mu)*(x(1)))-(((F)*(x(1)))/(x(6)))))+(QQ))</span><br>
<br>
Thanks.<br>
</blockquote>
<br>
<br>
</div>
</div>
<font color="#888888">
<div>-- <br>
Adrien Vogt-Schilb (Cired) <br>
Tel: (+33) 1 43 94 <b>73 77</b></div>
</font></div>
</blockquote>
</div>
<br>
</blockquote>
<br>
<br>
<div>-- <br>
Adrien Vogt-Schilb (Cired) <br>
Tel: (+33) 1 43 94 <b>73 77</b></div>
</div>
</div>
</div>
</blockquote>
</div>
<br>
</div>
</div>
</blockquote>
</div>
<br>
</blockquote>
<br>
<br>
<div class="moz-signature">-- <br>
Adrien Vogt-Schilb (Cired) <br>
Tel: (+33) 1 43 94 <b>73 77</b></div>
</body>
</html>