Dynamic Models of Biochemical Processes: Properties of Models

Bioprocess Control

Volumn , Issue , 2010, Pages 17-45

  Bernard, Olivier ^a   Quelinnec, Isabelle ^b  

^a INRIA   (France)

^b LAAS CNRS   (France)

Author keywords

Biochemical; Considering; Temperature; Thermodynamics; Validated

Indexed keywords

CONTROL ENGINEERING; TEMPERATURE;

BIOCHEMICAL; BIOCHEMICAL PROCESS; CONSIDERING; VALIDATED;

THERMODYNAMICS;

EID: 84949777260     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1002/9780470611128.ch2     Document Type: Chapter

References (38)

1. J.F. ANDREWS, "A mathematical model for the continuous culture of microorganisms utilizing inhibitory substrate", Biotechnol. & Bioeng., vol. 10, pp. 707-723, 1968.
2. J.E. BAILEY and D.F. OLLIS, Biochemical Engineering Fundamentals, McGraw-Hill, New York, 1986.
3. R.K. BAJPAI and M. REUSS, "Evaluation of feeding strategies in carbon-regulated secondary metabolite production through mathematical modelling", Biotechnol. & Bioeng., vol. 23, pp. 717-738, 1981.
4. G. BASTIN and D. DOCHAIN, On-line Estimation and Adaptive Control of Bioreactors, Elsevier, Amsterdam, 1990.
5. D. BATSTONE, J. KELLERAND, B. NEWELL and M. NEWLAND, "Model development and full scale validation for anaerobic treatment of protein and fat based wastewater", Water Science and Technology, vol. 36, pp. 423-431, 1997.
6. D.J. BATSTONE, J. KELLER, I. ANGELIDAKI, S.V. KALYUZHNYI, S.G. PAVLOSTATHIS, A. ROZZI, W.T.M. SANDERS, H. SIEGRIST and V.A. VAVILIN, Anaerobic Digestion Model No.1 (ADM1). IWA Task Group for Mathematical Modelling of Anaerobic Digestion Processes, IWA Publishing, London, 2002.
7. O. BERNARD and J.-L. GOUZÉ, "Transient behavior of biological loop models, with application to the Droop model", Mathematical Biosciences, vol. 127, no. 1, pp. 19-43, 1995.
8. O. BERNARD, Z. HADJ-SADOK, D. DOCHAIN, A. GENOVESI, and J.-P. STEYER, "Dynamical model development and parameter identification for an anaerobic wastewater treatment process", Biotech. Bioeng., vol. 75, pp. 424-438, 2001.
9. O. BERNARD and J.-L. GOUZÉ, "Global qualitative behavior of a class of nonlinear biological systems: application to the qualitative validation of phytoplankton growth models", Artif. Intel., vol. 136, no. 1, pp. 29-59, 2002.
10. O. BERNARD and G. BASTIN, "Identification of reaction networks for bioprocesses: determination of a partially unknown pseudo-stoichiometric matrix", Bioprocess Biosyst. Eng., vol. 27, no. 5, pp. 293-301, 2005.
11. O. BERNARD and G. BASTIN, "On the estimation of the pseudo-stoichiometric matrix for macroscopic mass balance modelling of biotechnological processes", Math. Biosciences, vol. 193, no. 1, pp. 51-77, 2005.
12. L. CHEN, O. BERNARD, G. BASTIN and P. ANGELOV, "Hybrid modelling of biotechnological processes using neural networks", Control Eng. Practice, vol. 8, pp. 821-827, 2000.
13. D.J. COSTELLO, P.F. GREENFIELD and P.L. LEE, "Dynamic modelling of a singlestage high-rate anaerobic reactor - I. Model derivation", Water Research, vol. 25, pp. 847-858, 1991.
14. C. DELBES, R. MOLETTA and J.-J. GODON, "Bacterial and archaeal 16s rdna and 16s rrna dynamics during an acetate crisis in an anaerobic digestor ecosystem", FEMS Microbiology Ecology, vol. 35, pp. 19-26, 2001.
15. D. DOCHAIN, On line Parameter Estimation, Adaptive State Estimation and Control of Fermentation Processes, PhD thesis, Université Catholique de Louvain, Belgium, 1986.
16. D. DOCHAIN, Contribution to the Analysis and Control of Distributed Parameter Systems with Application to (Bio) chemical Processes and Robotics, Thèse d'agrégation de l'enseignement supérieur, Université Catholique de Louvain, Belgium, 1994.
17. L. EDELSTEIN, Mathematical Models in Biology, Random House, New York, 1988.
18. J.-L. GOUZÉ, "Positive and negative circuits in dynamical systems", Journal of Biological Systems, vol. 6, no. 1, pp. 11-15, 1998.
19. V. GUILLOU, I. QUEINNEC, J.L. URIBELARREA and A. PAREILLEUX, "Online sensitive lightness measurement of cell-mass in Saccharomyces Cerevisiae culture", Biotechnology Techniques, vol. 10, no. 1, pp. 19-24, 1996.
20. S.R. HANSEN and S.P. HUBBELL, "Single-Nutrient Microbial Competition", Science, vol. 207, no. 28, pp. 1491-1493, 1980.
21. J. HERTZ, A. KROGH and R.G. PALMER, Introduction to the Theory of Neural Computation, Addison-Wesley, 1991.
22. D.T. HILL and C.L. BARTH, "A dynamic model for simulation of animal waste digestion", Journal of the Water Pollution Control Association, vol. 10, pp. 2129-2143, 1977.
23. J. JACOB, H. PINGAUD, J.M. LE LANN, S. BOURREL, J.P. BABARY and B. CAPDEVILLE, "Dynamic simulation of biofilters", Simulation - Practice and Theory, vol. 4, pp. 335-348, 1996.
24. C. JEFFRIES, "Qualitative Stability of Certain Nonlinear systems", Linear Algebra and its Applications, vol. 75, pp. 133-144, 1986.
25. H.K. KHALIL, Nonlinear Systems, Prentice-Hall, Englewood Cliffs, 2002.
26. W. LI, "Global asymptotic behavior of the chemostat: general response functions and different removal rates", SIAM J. Appl. Math., vol. 59, pp. 411-422, 1998.
27. H.C. LIM, Y.J. TAYEB, J.M. MODAK and P. BONTE, "Computational algorithms for optimal feed rates for a class of fed-batch fermentation: numerical results for penicillin and cell mass production", Biotechnol. & Bioeng., vol. 28, pp. 1408-1420, 1986.
28. J.C. MERCHUK, "Further considerations on the enhancement factor for oxygen absorption into fermentation broth", Biotechnol. & Bioeng., vol. 19, pp. 1885-1889, 1977.
29. R. MOLETTA, D. VERRIER and G. ALBAGNAC, "Dynamic modelling of anaerobic digestion", Water Research, vol. 20, pp. 427-434, 1986.
30. J. MONOD, Recherches sur la Croissance des Cultures Bactériennes, Hermann, Paris, 1942.
31. F.E. MOSEY, "Mathematical modelling of the anaerobic digestion process: regulatory mechanisms for the formation of short-chain volatile acids from glucose", Water Science and Technology, vol. 15, pp. 209-232, 1983.
32. A . PAVÉ, Modélisation en Biologie et en Ecologie, Aléas, Lyon, 1994.
33. I. QUEINNEC, D. LÉONARD and C. BEN YOUSSEF, "State observation for fedbatch control of phenol degradation by R alstonia eutropha", in Proc. of the 4th European Control Conference, Karlsruhe, Germany, 1999.
34. E. SACKS, "A dynamic systems perspective on qualitative simulation", Artif. Intell., vol. 42, pp. 349-362, 1990.
35. L.A. SEGEL, Modeling Dynamic Phenomena in Molecular and Cellular Biology, Cambridge University Press, Cambridge, 1984.
36. G.N. STEPHANOPOULOS, A.A. ARISTIDOU and J. NIELSEN, Metabolic Engineering. Principles and Methodologies, Academic Press, San Diego, 1998.
37. E. WALTER and L. PRONZATO, Identification of Parametric Models from Experimental Data, Springer-Verlag, Heidelberg, 1997.
38. K.W. WANG, B.C. BALTZIS and G.A. LEWANDOWSKI, "Kinetics of phenol biodegradation in the presence of glucose", Biotechnol. & Bioeng., vol. 51, pp. 87-94, 1996.