Cell Culture
Apps.CellCultivation History
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!!! Sample Results
!!!! Input
* %list list-page% (:html:)<a href="/online/plot.php?d=cells&f=MV(1).xml">Substrate Feed Rate</a>(:htmlend:)
!!!! Predictions
* %list list-page% (:html:)<a href="/online/plot.php?d=cells&f=SV(1).xml">Cell concentration</a>(:htmlend:)
* %list list-page% (:html:)<a href="/online/plot.php?d=cells&f=SV(2).xml">Substrate concentration</a>(:htmlend:)
* %list list-page% (:html:)<a href="/online/plot.php?d=cells&f=SV(3).xml">Product concentration</a>(:htmlend:)
* %list list-page% (:html:)<a href="/online/plot.php?d=cells&f=SV(4).xml">Oxygen concentration</a>(:htmlend:)
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(:title Cell Culture:)
(:keywords nonlinear, model, predictive control, APMonitor, differential, algebraic, modeling language, cell culture:)
(:description Simulation of a cell culture with APMonitor:)
(:keywords nonlinear, model, predictive control, APMonitor, differential, algebraic, modeling language, cell culture:)
(:description Simulation of a cell culture with APMonitor:)
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* %list list-page% (:html:)<a href="https://apmonitor.ath.cx/online/plot.php?d=cells&f=MV(1).xml">Substrate Feed Rate</a>(:htmlend:)
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* %list list-page% (:html:)<a href="https:/apmonitor.ath.cx/online/plot.php?d=cells&f=SV(1).xml">Cell concentration</a>(:htmlend:)
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* %list list-page% (:html:)<a href="https:/apmonitor.ath.cx/online/plot.php?d=cells&f=SV(3).xml">Product concentration</a>(:htmlend:)
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* %list list-page% (:html:)<a href="/online/plot.php?d=cells&f=SV(1).xml">Cell concentration</a>(:htmlend:)
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* %list list-page% (:html:)<a href="https://apmonitor.ath.cx/online/plot.php?d=cells&f=SV(4).xml">Oxygen concentration</a>(:htmlend:)
----
(:html:)<pre>
! APMonitor Modeling Language
! https://www.apmonitor.com
! Cultivation of isolated plant cells in suspension culture
!
! Munack A., Posten C. (1989): Design of optimal dynamical experiments for
! parameter estimation, Proceedings of the Americal Control Conference,
! Vol. 4, 2010-2016.
Model cells
Parameters
romax = 85
yco = 0.897
ypx = 0.0673
vl = 1
kl = 0.0137
os = 86.2
rsmax = 0.0352
ks = 0.186
ko = 6.32
yxs = 5.6
mum = 0.118
rf = 0.05
End Parameters
Variables
x = 4
s = 50
p = 5
o = 0.022
c = 1.059
End Variables
Intermediates
rs = rsmax * s / (ks + s)
mu = yxs*rs - mum
ro = romax * o / (ko + o)
rc = yco*ro
End Intermediates
Equations
$x = mu * x
$s = -rs*x + 10*rf
$p = ypx*mu*x
ro * x = (os - o)*kl*vl
c = rc * x / vl
End Equations
End Model
</pre>(:htmlend:)
----
(:html:)<pre>
! APMonitor Modeling Language
! https://www.apmonitor.com
! Cultivation of isolated plant cells in suspension culture
!
! Munack A., Posten C. (1989): Design of optimal dynamical experiments for
! parameter estimation, Proceedings of the Americal Control Conference,
! Vol. 4, 2010-2016.
Model cells
Parameters
romax = 85
yco = 0.897
ypx = 0.0673
vl = 1
kl = 0.0137
os = 86.2
rsmax = 0.0352
ks = 0.186
ko = 6.32
yxs = 5.6
mum = 0.118
rf = 0.05
End Parameters
Variables
x = 4
s = 50
p = 5
o = 0.022
c = 1.059
End Variables
Intermediates
rs = rsmax * s / (ks + s)
mu = yxs*rs - mum
ro = romax * o / (ko + o)
rc = yco*ro
End Intermediates
Equations
$x = mu * x
$s = -rs*x + 10*rf
$p = ypx*mu*x
ro * x = (os - o)*kl*vl
c = rc * x / vl
End Equations
End Model
</pre>(:htmlend:)
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* %list list-page% [[Attach:cells.apm | cells.apm]]
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* %list list-page% [[Attach:cells.apm | Cell Culture Model]]
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* %list list-page% [[https://apmonitor.ath.cx/online/plot.php?d=cells&f=SV(4).xml|Oxygen concentration]]
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* %list list-page% (:html:)<a href="https://apmonitor.ath.cx/online/plot.php?d=cells&f=SV(1).xml">Cell concentration</a>(:htmlend:)
* %list list-page% (:html:)<a href="https://apmonitor.ath.cx/online/plot.php?d=cells&f=SV(2).xml">Substrate concentration</a>(:htmlend:)
* %list list-page% (:html:)<a href="https://apmonitor.ath.cx/online/plot.php?d=cells&f=SV(3).xml">Product concentration</a>(:htmlend:)
* %list list-page% (:html:)<a href="https://apmonitor.ath.cx/online/plot.php?d=cells&f=SV(4).xml">Oxygen concentration</a>(:htmlend:)
* %list list-page% (:html:)<a href="https://apmonitor.ath.cx/online/plot.php?d=cells&f=SV(2).xml">Substrate concentration</a>(:htmlend:)
* %list list-page% (:html:)<a href="https://apmonitor.ath.cx/online/plot.php?d=cells&f=SV(3).xml">Product concentration</a>(:htmlend:)
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