H. Lim and H. Shin, Fed-Batch Cultures: Principles and Applications of Semi- Batch Bioreactors, Cambridge Series in Chemical Engineering, 2013.
DOI : 10.1017/CBO9781139018777

S. Pirt, Principles of microbe and cell cultivation, 1975.

J. Banga, E. Canto, C. Moles, and A. Alonso, Dynamic optimization of bioreactors -a review, Proceedings of the Indian Academy of Sciences

T. Lee, F. Wang, and R. Newell, Robust multivariable control of complex biological processes, Journal of Process Control, vol.14, issue.2, pp.193-209, 2004.
DOI : 10.1016/S0959-1524(03)00037-4

R. Yamuna and V. S. Ramachandra, Control of fermenters ??? a review, Bioprocess Engineering, vol.21, issue.1, pp.77-88, 1999.
DOI : 10.1007/PL00009066

I. Smets, J. Claes, E. November, G. Bastin, and J. V. Impe, Optimal adaptive control of (bio)chemical reactors: past, present and future, Journal of Process Control, vol.14, issue.7, pp.795-805, 2004.
DOI : 10.1016/j.jprocont.2003.12.005

J. Na, Y. Chang, B. Chung, and H. Lim, Adaptive optimization of fed-batch culture of yeast by using genetic algorithms, Bioprocess and Biosystems Engineering, vol.24, issue.5, pp.299-308, 2002.
DOI : 10.1007/s004490100251

S. Nguang, L. Chen, and X. Chen, Optimisation of fed-batch culture of hybridoma cells using genetic algorithms, ISA Transactions, vol.40, issue.4, pp.381-389, 2001.
DOI : 10.1016/S0019-0578(01)00005-2

M. Ronen, Y. Shabtai, and H. Guterman, Optimization of feeding profile for a fed-batch bioreactor by an evolutionary algorithm, Journal of Biotechnology, vol.97, issue.3, pp.253-263, 2002.
DOI : 10.1016/S0168-1656(02)00106-2

J. Roubos, G. Van-straten, and A. Van-boxtel, An evolutionary strategy for fed-batch bioreactor optimization; concepts and performance, Journal of Biotechnology, vol.67, issue.2-3, pp.173-187, 1999.
DOI : 10.1016/S0168-1656(98)00174-6

J. Chiou and F. Wang, Hybrid method of evolutionary algorithms for static and dynamic optimization problems with application to a fed-batch fermentation process, Computers & Chemical Engineering, vol.23, issue.9, pp.1277-1291, 1999.
DOI : 10.1016/S0098-1354(99)00290-2

D. Herbert, R. Elsworth, and R. Telling, The Continuous Culture of Bacteria; a Theoretical and Experimental Study, Journal of General Microbiology, vol.14, issue.3
DOI : 10.1099/00221287-14-3-601

N. Marcos, M. Guay, D. Dochain, and T. Zhang, Adaptive extremum-seeking control of a continuous stirred tank bioreactor with Haldane's Kinetics, Journal of Process Control, vol.14, issue.3, pp.317-328, 2004.
DOI : 10.1016/S0959-1524(03)00070-2

J. Monod, LA TECHNIQUE DE CULTURE CONTINUE TH??ORIE ET APPLICATIONS, Annales de l´Institutl´Institut Pasteur, vol.79, pp.390-410, 1950.
DOI : 10.1016/B978-0-12-460482-7.50023-3

J. Moreno, Optimal time control of bioreactors for the wastewater treatment, Optimal Control Applications and Methods, vol.20, issue.3, pp.145-164, 1999.
DOI : 10.1002/(SICI)1099-1514(199905/06)20:3<145::AID-OCA651>3.0.CO;2-J

G. D. 'ans, P. Kokotovic, and D. Gottlieb, A nonlinear regulator problem for a model of biological waste treatment, IEEE Transactions. Automatic Control, vol.16, pp.341-347, 1971.

P. Gajardo, J. Harmand, H. R. , and A. Rapaport, Minimal time bioremediation of natural water resources, Automatica, vol.47, issue.8, pp.1764-1769, 2011.
DOI : 10.1016/j.automatica.2011.03.001
URL : https://hal.archives-ouvertes.fr/hal-00521118

P. Mccarty, Anaerobic waste treatment fundamentals, Chemistry and Microbiology

P. Gajardo, H. Ramirez, V. Riquelme, and A. Rapaport, BIOREMEDIATION OF NATURAL WATER RESOURCES VIA OPTIMAL CONTROL TECHNIQUES, Biomat 2011 -International Symposium on Mathematical and Computational Biology, pp.178-190, 2012.
DOI : 10.1142/9789814397711_0012
URL : https://hal.archives-ouvertes.fr/hal-01128572

H. Ramirez, A. Rapaport, and V. Riquelme, Minimal time bioremediation of water resources with two patches, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01154435

J. Grivet, Nonlinear population dynamics in the chemostat, Computing in Science & Engineering, vol.3, issue.1
DOI : 10.1109/5992.895187

H. Smith and . Waltman, The theory of the Chemostat, In Cambridge studies in Mathematical biology, vol.13, 1995.
DOI : 10.1017/CBO9780511530043

M. Crespo, Mathematical optimization in industrial processes, Master's thesis, 2013.

A. K. Dramé, A semilinear parabolic boundary-value problem in bioreactors theory, Electronic Journal of Differential Equations, vol.129, pp.1-13, 2004.

A. Dramé, C. Lobry, J. Harmand, A. Rapaport, and F. Mazenc, Multiple stable equilibrium profiles in tubular bioreactors, Mathematical and Computer Modelling, vol.48, issue.11-12, pp.1840-1853, 1112.
DOI : 10.1016/j.mcm.2008.05.008

L. Dung and H. L. Smith, A Parabolic System Modeling Microbial Competition in an Unmixed Bio-reactor, Journal of Differential Equations, vol.130, issue.1, pp.59-91, 1996.
DOI : 10.1006/jdeq.1996.0132

S. Hsu, Steady States of a System of Partial Differential Equations Modeling Microbial Ecology, SIAM Journal on Mathematical Analysis, vol.14, issue.6, p.11301138, 1983.
DOI : 10.1137/0514087

C. Kung and B. C. Baltzis, The growth of pure and simple microbial competitors in a moving distributed medium, Mathematical Biosciences, vol.111, issue.2
DOI : 10.1016/0025-5564(92)90076-9

J. W. So and P. Waltman, A nonlinear boundary value problem arising from competition in the chemostat, Applied Mathematics and Computation, vol.32, issue.2-3, pp.169-183, 1989.
DOI : 10.1016/0096-3003(89)90092-1

D. Dochain and P. Vanrolleghem, Dynamical Modelling & Estimation in Wastewater Treatment Processes, Water Intelligence Online, vol.4, issue.0, 2001.
DOI : 10.2166/9781780403045

B. Ivorra, J. L. Redondo, J. G. Santiago, P. M. Ortigosa, and A. M. Ramos, Two- and three-dimensional modeling and optimization applied to the design of a fast hydrodynamic focusing microfluidic mixer for protein folding, Physics of Fluids, vol.25, issue.3, 1994.
DOI : 10.1063/1.4793612

M. Crespo, B. Ivorra, and A. Ramos, Existence and uniqueness of solution of a continuous flow bioreactor model with two species, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, pp.1-21, 2015.
DOI : 10.1007/s13398-015-0237-3

G. Marin, Advances in Chemical Engineering: Multiscale Analysis, Advances in Chemical Engineering, 2005.

R. Leveque, Finite Difference Methods for Ordinary and Partial Differential Equations: Steady-State and Time-Dependent Problems, 2007.
DOI : 10.1137/1.9780898717839

F. Fritsch and R. Carlson, Monotone Piecewise Cubic Interpolation, SIAM Journal on Numerical Analysis, vol.17, issue.2, p.238246, 1980.
DOI : 10.1137/0717021