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Bioprocess Modeling: with PDEs or ODEs? 4th French-Chilean Workshop on Bioprocess Modeling Antoine ROUSSEAU Team LEMON Inria and Inria Chile September 21st, 2016
Bioprocess Modeling: with PDEs or ODEs?
4th French-Chilean Workshop on Bioprocess Modeling
Antoine ROUSSEAU
Team LEMON Inria and Inria Chile
September 21st, 2016
21/09/2016Antoine ROUSSEAU - 4th franco-chileno
bioreactor
Q
biomass
settler
Q QV
Vresource
r
1 zone
21/09/2016Antoine ROUSSEAU - 4th franco-chileno
bioreactor
Q
biomass
settler
Q QV
Vresource
r
1 zone
bioreactor
Q
biomass
settler
Q Q
Vrdead
zone
(1− )V Vr r
d
zone
active
2 zones
21/09/2016Antoine ROUSSEAU - 4th franco-chileno
bioreactor
Q
biomass
settler
Q QV
Vresource
r
1 zone
bioreactor
Q
biomass
settler
Q Q
Vrdead
zone
(1− )V Vr r
d
zone
active
2 zones
bioreactor
Q
biomass
settler
Q Q
Vrdead
zone
(1− )V Vr r
d
zone
activeN zones N>>1
21/09/2016Antoine ROUSSEAU - 4th franco-chileno
bioreactor
Q
biomass
settler
Q QV
Vresource
r
1 zone
bioreactor
Q
biomass
settler
Q Q
Vrdead
zone
(1− )V Vr r
d
zone
active
2 zones
bioreactor
Q
biomass
settler
Q Q
Vrdead
zone
(1− )V Vr r
d
zone
activeN zones N>>1
V >>
21/09/2016Antoine ROUSSEAU - 4th franco-chileno
Everything should be made as simple as possible, but not simpler
21/09/2016Antoine ROUSSEAU - 4th franco-chileno
Everything should be made as simple as possible, but not simpler
3 curves: • reference PDE solution • 1 (active) zone • 2 (active+dead) zones
References: • Barbier, Rapaport, R. 2016 • V. Riquelme, PhD, 2016
21/09/2016Antoine ROUSSEAU - 4th franco-chileno
Everything should be made as simple as possible, but not simpler
In research papers, I never read appendices
21/09/2016Antoine ROUSSEAU - 4th franco-chileno
bioreactor
Q
biomass
settler
Q QV
Vresource
r
bioreactor
Q
biomass
settler
Q Q
Vrdead
zone
(1− )V Vr r
d
zone
active
One zone Two zones
21/09/2016Antoine ROUSSEAU - 4th franco-chileno
PDE zone
bioreactor
Q
biomass
settler
Q Q
Vrdead
zone
(1− )V Vr r
d
zone
active
21/09/2016Antoine ROUSSEAU - 4th franco-chileno
PDE zone Navier-Stokes equations
bioreactor
Q
biomass
settler
Q Q
Vrdead
zone
(1− )V Vr r
d
zone
active
21/09/2016Antoine ROUSSEAU - 4th franco-chileno
PDE zone Navier-Stokes equations
Input
bioreactor
Q
biomass
settler
Q Q
Vrdead
zone
(1− )V Vr r
d
zone
active
21/09/2016Antoine ROUSSEAU - 4th franco-chileno
PDE zone Navier-Stokes equations
Input
Output
bioreactor
Q
biomass
settler
Q Q
Vrdead
zone
(1− )V Vr r
d
zone
active
21/09/2016Antoine ROUSSEAU - 4th franco-chileno
PDE zone Navier-Stokes equations
Input
Output
Border
bioreactor
Q
biomass
settler
Q Q
Vrdead
zone
(1− )V Vr r
d
zone
active
21/09/2016Antoine ROUSSEAU - 4th franco-chileno
PDE zone Navier-Stokes equations
Input
Output
Border
bioreactor
Q
biomass
settler
Q Q
Vrdead
zone
(1− )V Vr r
d
zone
active
21/09/2016Antoine ROUSSEAU - 4th franco-chileno
bioreactor
Q
biomass
settler
Q QV
Vresource
r
bioreactor
Q
biomass
settler
Q Q
Vrdead
zone
(1− )V Vr r
d
zone
active
bioreactor
Q
biomass
settler
Q Q
Vrdead
zone
(1− )V Vr r
d
zone
active
V >>
H1H2,H3
d=0, r=1
Conclusion
21/09/2016Antoine ROUSSEAU - 4th franco-chileno
bioreactor
Q
biomass
settler
Q QV
Vresource
r
bioreactor
Q
biomass
settler
Q Q
Vrdead
zone
(1− )V Vr r
d
zone
active
bioreactor
Q
biomass
settler
Q Q
Vrdead
zone
(1− )V Vr r
d
zone
active
V >>
H1H2,H3
d=0, r=1
Real life???
Conclusion
