Apps

Cell Culture

Apps.CellCultivation History

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April 16, 2012, at 11:54 PM by 69.169.188.228 -
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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:)
November 24, 2010, at 08:10 PM by 206.180.155.75 -
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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:)

May 26, 2010, at 05:58 AM by 158.35.225.240 -
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* %list list-page% (:html:)<a href="http://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="/online/plot.php?d=cells&f=MV(1).xml">Substrate Feed Rate</a>(:htmlend:)
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* %list list-page% (:html:)<a href="http://apmonitor.ath.cx/online/plot.php?d=cells&f=SV(1).xml">Cell concentration</a>(:htmlend:)
* %list list-page% (:html:)<a href="http://apmonitor.ath.cx/online/plot.php?d=cells&f=SV(2).xml">Substrate concentration</a>(:htmlend:)
* %list list-page% (:html:)<a href="http://apmonitor.ath.cx/online/plot.php?d=cells&f=SV(3).xml">Product concentration</a>(:htmlend:)
* %list list-page% (:html:)<a href="http://apmonitor.ath.cx/online/plot.php?d=cells&f=SV(4).xml">Oxygen 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:)
* %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:)
March 06, 2010, at 02:37 AM by 206.180.155.75 -
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April 23, 2009, at 10:25 AM by 158.35.225.231 -
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April 23, 2009, at 10:25 AM by 158.35.225.231 -
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April 23, 2009, at 10:22 AM by 158.35.225.231 -
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* %list list-page% (:html:)<a href="http://apmonitor.ath.cx/online/plot.php?d=cells&f=SV(4).xml">Oxygen concentration</a>(:htmlend:)
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* %list list-page% (:html:)<a href="http://apmonitor.ath.cx/online/plot.php?d=cells&f=SV(4).xml">Oxygen concentration</a>(:htmlend:)

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(:html:)<pre>
! APMonitor Modeling Language
! http://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:)
November 04, 2008, at 09:12 AM by 158.35.225.231 -
November 03, 2008, at 09:03 PM by 98.199.241.177 -
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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]]
November 03, 2008, at 08:17 PM by 98.199.241.177 -
November 03, 2008, at 06:46 AM by 158.35.225.228 -
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November 03, 2008, at 06:39 AM by 158.35.225.228 -
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* %list list-page% (:html:)<a href="http://apmonitor.ath.cx/online/plot.php?d=cells&f=SV(4).xml">Oxygen concentration</a>(:htmlend:)

* %list list-page% [[http://apmonitor.ath.cx/online/plot.php?d=cells&f=SV(3).xml|Product concentration]]
* %list list-page% [[http://apmonitor.ath.cx/online/plot.php?d=cells&f=SV(4).xml|Oxygen concentration]]
to:
* %list list-page% (:html:)<a href="http://apmonitor.ath.cx/online/plot.php?d=cells&f=SV(4).xml">Oxygen concentration</a>(:htmlend:)
November 03, 2008, at 06:39 AM by 158.35.225.228 -
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* %list list-page% [[http://apmonitor.ath.cx/online/plot.php?d=cells&f=SV(1).xml|Cell concentration]]
* %list list-page% [[http://apmonitor.ath.cx/online/plot.php?d=cells&f=SV(2).xml|Substrate concentration]]
to:
* %list list-page% (:html:)<a href="http://apmonitor.ath.cx/online/plot.php?d=cells&f=SV(1).xml">Cell concentration</a>(:htmlend:)
* %list list-page% (:html:)<a href="http://apmonitor.ath.cx/online/plot.php?d=cells&f=SV(2).xml">Substrate concentration</a>(:htmlend:)
* %list list-page% (:html:)<a href="http://apmonitor.ath.cx/online/plot.php?d=cells&f=SV(3).xml">Product concentration</a>(:htmlend:)
* %list list-page% (:html:)<a href="http://apmonitor.ath.cx/online/plot.php?d=cells&f=SV(4).xml">Oxygen concentration</a>(:htmlend:)

November 03, 2008, at 06:36 AM by 158.35.225.228 -
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* %list list-page% (:html:)<a href="http://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="http://apmonitor.ath.cx/online/plot.php?d=cells&f=MV(1).xml">Substrate Feed Rate</a>(:htmlend:)
November 03, 2008, at 06:35 AM by 158.35.225.228 -
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* %list list-page% [[http://apmonitor.ath.cx/online/plot.php?d=cells&f=MV//(1\\).xml|Substrate Feed Rate]]
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* %list list-page% (:html:)<a href="http://apmonitor.ath.cx/online/plot.php?d=cells&f=MV(1).xml>Substrate Feed Rate</a>"(:htmlend:)
November 03, 2008, at 06:34 AM by 158.35.225.228 -
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* %list list-page% [[http://apmonitor.ath.cx/online/plot.php?d=cells&f=MV[1].xml|Substrate Feed Rate]]
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* %list list-page% [[http://apmonitor.ath.cx/online/plot.php?d=cells&f=MV//(1\\).xml|Substrate Feed Rate]]
November 03, 2008, at 06:34 AM by 158.35.225.228 -
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* %list list-page% [[http://apmonitor.ath.cx/online/plot.php?d=cells&f=MV\(1\).xml|Substrate Feed Rate]]
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* %list list-page% [[http://apmonitor.ath.cx/online/plot.php?d=cells&f=MV[1].xml|Substrate Feed Rate]]
November 03, 2008, at 06:33 AM by 158.35.225.228 -
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* %list list-page% [[http://apmonitor.ath.cx/online/plot.php?d=cells&f=MV/(1/).xml|Substrate Feed Rate]]
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* %list list-page% [[http://apmonitor.ath.cx/online/plot.php?d=cells&f=MV\(1\).xml|Substrate Feed Rate]]
November 03, 2008, at 06:33 AM by 158.35.225.228 -
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* %list list-page% [[(:html:)http://apmonitor.ath.cx/online/plot.php?d=cells&f=MV(1).xml(:htmlend:)|Substrate Feed Rate]]
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* %list list-page% [[http://apmonitor.ath.cx/online/plot.php?d=cells&f=MV/(1/).xml|Substrate Feed Rate]]
November 03, 2008, at 06:33 AM by 158.35.225.228 -
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* %list list-page% [[http://apmonitor.ath.cx/online/plot.php?d=cells&f=MV(1).xml|Substrate Feed Rate]]
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* %list list-page% [[(:html:)http://apmonitor.ath.cx/online/plot.php?d=cells&f=MV(1).xml(:htmlend:)|Substrate Feed Rate]]
November 03, 2008, at 06:32 AM by 158.35.225.228 -
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!! Cell Cultivation

The following is a model of the cultivation of isolated plant cells in suspension culture.  It is derived from the model found in:

Munack A., Posten C. (1989): Design of optimal dynamical experiments for parameter
estimation, Proceedings of the Americal Control Conference, Vol. 4, 2010-2016.

!!! Model

* %list list-page% [[Attach:cells.apm | cells.apm]]

!!! Sample Results

!!!! Input

* %list list-page% [[http://apmonitor.ath.cx/online/plot.php?d=cells&f=MV(1).xml|Substrate Feed Rate]]

!!!! Predictions

* %list list-page% [[http://apmonitor.ath.cx/online/plot.php?d=cells&f=SV(1).xml|Cell concentration]]
* %list list-page% [[http://apmonitor.ath.cx/online/plot.php?d=cells&f=SV(2).xml|Substrate concentration]]
* %list list-page% [[http://apmonitor.ath.cx/online/plot.php?d=cells&f=SV(3).xml|Product concentration]]
* %list list-page% [[http://apmonitor.ath.cx/online/plot.php?d=cells&f=SV(4).xml|Oxygen concentration]]