**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**31103

##### Nonlinear Control of a Continuous Bioreactor Based on Cell Population Model

**Authors:**
Mahdi Sharifian,
Mohammad Ali Fanaei

**Abstract:**

**Keywords:**
bioreactor,
Finite Difference,
PI controller,
feedback linearization,
cell population balance,
orthogonal collocation on finite elements,
Galerkin finite element

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1055627

**References:**

[1] T. Munch, B. Sonnleitner, and A. Fiechter, "New insights into the synchronization mechanism with forced synchronous cultures of Saccharomyces cerevisiae", J. Biotechnol., 24, p299-313, 1992.

[2] S. J. Parulekar, G. B. Semones, M. J. Rolf, J. C. Lievense, and H. C. Lim, "Induction and elimination of oscillations in continuous cultures of Saccharomyces cerevisiae", Biotechn. Bioeng., 28, p700-710, 1986.

[3] P. R. Patnaik, "Oscillatory metabolism of Saccharomyces cerevisiae: an overview of mechanisms and models", Biotechnology Advances, 21, p183-192, 2003.

[4] C. Strassle, B. Sonnleitner, and A. Fiechter, "A predictive model for the spontaneous synchronization of Saccharomyces cerevisiae grow in continuous culture. II. Experimental verification", J. Biotechnal., 9, p191-208, 1989.

[5] D. E. Porro, B. Martegani, M. Ranzi, and L. Alberghina, "Oscillations in continuous cultures of budding yeasts: A segregated parameter analysis", Biotechnol. Bioeng., 32, p411-417, 1988.

[6] T. Munch, B. Sonnleitner, and A. Fiechter, "The decisive role of the Saccharomyces cerevisiae cell cycle behavior for dynamic growth characterization", J. Biotechnol., 22, p329-352, 1992.

[7] M. Beuse, R. Bartling, A. Kopmann, H. Diekmann, and M. Thoma, "Effect of the dilution rate on the mode of osillation in continuous cultures of Saccharomyces cerevisiae", J. of Biotechnology, 61, p15-31, 1998.

[8] L. Cazzador, L. Mariani, E. Martegani, and L. Alberghina, "Structured segregated models and analysis of self-oscillating yeast continuous cultures", Bioprocess Eng., 5, p175-180, 1990.

[9] K. D. Jones, and D. S. Kompala, "Cybernetic model of the growth dynamics of Saccharomyces cerevisiae in batch and continuous cultures", J. Biotechnology, 71, p105-131, 1999.

[10] E. Martegani, D. Porro, B. M. Ranzi, and L. Alberghina, "Involvement of a cell size control mechanism in the induction and maintenance of oscillations in continuous cultures of budding yeast", Biotechnol. Bioeng., 36, p453-459, 1990.

[11] C. Strassle, B. Sonnleitner, and A. Fiechter, "A predictive model for the spontaneous synchronization of Saccharomyces cerevisiae grown in continuous culture. I. Concept", J. Biotechnol., 7, p299-318, 1988.

[12] N. V. Mantzaris, F. Srienc, and P. Daoutidis, "Nonlinear productivity control using a multi-stage cell population balance model", Chem. Eng. Sci., 57, p1-14, 2002.

[13] A. G. Fredrickson, and N. V. Mantzaris, "A new set of population balance equations for microbial and cell cultures", Chem. Eng. Sci., 57, p2265-2278, 2002.

[14] D. Ramkrishna, D. S. Kompala., and G. T. Tsao, "Are microbes optimal strategists?", Biotechnol. Prog., 3, p121-126, 1987.

[15] J. D. Sheppard, and P. S. Dawson, "Cell synchrony and periodic behavior in yeast populations", Canadian J. Chem. Eng., 77, p893-902, 1999.

[16] Y. Zhang, M. A. Henson, and Y.G. Kevrekidis, "Nonlinear model reduction for dynamic analysis of cell population models", Chem. Eng. Sci., 58, p429-445, 2003.

[17] M. A. Henson, "Dynamic modeling and control of yeast cell populations in continuous biochemical reactors", Comp. Chem. Eng., 27, p1185- 1199, 2003.

[18] N. V. Mantzaris, P. Daoutidis, "Cell population balance modeling and control in continuous bioreactors", J. Process Control, 14, p775-784, 2004.

[19] G. Y. Zhu, A. M. Zamamiri, M. A. Henson, and M. A. Hjortso, "Model predictive control of continuous yeast bioreactors using cell population models", Chem. Eng. Sci., 55, p6155-6167, 2000.

[20] Y. Zhang, Dynamic modeling and analysis of oscillatory bioreactors, PhD Theses, Louisiana State University, Chem. Eng. Department, 2002.

[21] M. A. Hjortso, and J. Nielsen, "A conceptual model of autonomous oscillations in microbial cultures", Chem. Eng. Sci., 49, p1083-1095, 1994.

[22] M. A. Hjortso, and J. Nielsen, "Population balance models of autonomous microbial oscillations", J. Biotechnol., 42, p255-269, 1995.

[23] N. V. Mantzaris, J. J. Liou, P. Daoutidis, and F. Srienc, "Numerical solution of a mass structured cell population balance model in an environment of changing substrate concentration", J. Biotechnol., 71, p157-174, 1999.

[24] N. V. Mantzaris, P. Daoutidis, and F. Srienc, "Numerical solution of multi-variable cell population balance models: I. Finite difference methods", Comp. Chem. Eng., 25, p1411-1440, 2001.

[25] N. V. Mantzaris, P. Daoutidis, and F. Srienc, "Numerical solution of multi-variable cell population balance models: II. Spectral methods", Comp. Chem. Eng., 25, p1441-1462, 2001.

[26] N. V. Mantzaris, P. Daoutidis, and F. Srienc, "Numerical solution of multi-variable cell population balance models: III. Finite element methods", Comp. Chem. Eng., 25, p1463-1481, 2001.

[27] B. A. Finlayson, Nonlinear analysis in chemical engineering, McGraw- Hill, 1980.

[28] M. J. Kurtz, G. Y. Zhu, A. M. Zamamiri, M. A. Henson, and M. A. Hjortso, "Control of oscillating microbial cultures described by population balance models", Ind. Eng. Chem. Research, 37, p4059-4070, 1998.

[29] Y. Zhang, A. M. Zamamiri, M. A. Henson, and M. A. Hjortso, "Cell population models for bifurcation analysis and nonlinear control of continuous yeast bioreactors", J. process control. ,12, p721-734, 2002.

[30] M. J. Kurtz, G. Y. Zhu, A. M. Zamamiri, M. A. Henson, and M. A. Hjortso, "Control of oscillating microbial cultures described by population balance models", Ind. Eng. Chem. Research, 37, p4059-4070, 1998.

[31] M. Shahrokhi, and M. A. Fanaei, "State estimation in a batch suspension polymerization reactor", Iranian Polymer J., 10, p173-187, 2001.

[32] M. Soroush, and C. Kravaris, "Nonlinear control of a batch polymerization reactor: An experimental study", AIChE J., 38, p1429- 1440, 1992.