Chemical Reactor Engineering

Tessier growth kinetics

In section 1 we note some biochemical systems which have been shown to obey Tessier kinetics. In section 2 we describe mathematical investigations into systems based upon Tessier kinetics, including results for systems with constant and non-constant yields.

1. Tessier kinetics: Experimental systems

It is not possible to provide a comprehensive overview of biological systems that have been found to obey Tessier kinetics. We limit ourselves to outlining a few such systems.

Sönmeziʂik et al (1998) showed that a double substrate model with both Tessier and Moser growth kinetics represented the experimental data for the growth of Suffolobus solfataricus, a thermophilic sulfur-removing archeabacterium, reasonably well.

McHenry and Werker (2002) showed that the Tessier growth model was the most suitable to characterize bioactivity in treatment wetlands.

Yurt et al (2002) showed that a model combining Monod growth kinetics for pyruvate and Tessier growth kinetics for oxygen showed the best correlation with experimental data for Leptothrix discophora SP-6 (a manganese - and iron-oxidizing sheathed bacteria that thrive in both iron- and manganese-rich environments).

Beyenal et al (2003) showed that a Tessier growth expression based upon a dual-substrate model, oxygen and glucose, had good agreement with experimental chemostat data describing the growth kinetics of Pseudomonas aeruginosa (a microbial that is often used in biofilm studies and for modelling biofilm accumulation).

2. Tessier kinetics: Mathematical Models

In (Liu & Wu (1995), Liu et al (1998), Wu et al (1999)) results have been obtained for the Tessier growth model when a single reactor is subject to external periodic forcing.

Liu & Wu (1995) showed that the performance of a bioreactor, measured at its optimal steady-state, can not be improved when the flow rate is forced sinusoidally. This holds for Monod, Moser, Tessier and Andrew growth models for both constant and non-constant yield coefficients.

Liu et al (1998) have shown that it is possible to distinguish between Monod, Moser, Tessier and Contois kinetic models though frequency response analysis when the flow-rate, is varied sinusoidally. It is also possible to distinguish between models having constant and non-constant yield coefficients.

Wu et al compared the biomass production of a continuous bioreactor with a cyclic feed concentration against that produced under optimal steady-state operation. They considered Monod, Moser, Tessier and Andrew growth models. For Tessier growth, periodic operation can not improve the reactor performance when the yield coefficient is constant. They found that for a non-constant yield coefficient a cyclic feed may improve the performance of a system with Tessier growth. Whether cyclic feeding improves reactor performance for a non-constant yield coefficient depends upon the value of the substrate concentration in the feed.


  1. H. Beyenal, S.N. Chen, and Z. Lewandowski. The double substrate growth kinetics of Pseudomonas aeruginosa. Enzyme and Microbial Technology, 32:92--98, 2003.
  2. H-S Liu and S-C Wu. Periodical operation of continuous bioreactor. Journal of the Chinese Institute of Chemical Engineers, 26(5):233--243, 1995.
  3. H-S Liu, S-C Wu, and S-C Lin. Theoretical analysis of frequency response in continuous bioreactor. Chemical Engineering Communications, 164:13--34, 1998.
  4. J. McHenry and A.G. Werker. Characterization of bioactivity in treatment wetlands utilising an enzymatic assay. In CSCE/EWRI of ASCE Environmental Engineering Conference, pages 1--14, 2002.
  5. M. Sömeziʂik, D. Tanyolaç, S. ʂeker, and A. Tanyolaç. The double-substrate growth kinetics of Sulfolobus solfataricus a thermophilic sulfur-removing archeabacterium. Biochemical Engineering Journal, 1:243--248, 1998.
  6. S-C. Wu, C-C. Lin, and H-S. Liu. Theoretical analysis of a continuous bioreactor subject to cyclic feed concentration. Journal of the Chinese Institute of Chemical Engineers, 30(2):151--160, 1999.
  7. N. Yurt, J. Sears, and Z.~Lewandowski. Multiple substrate growth kinetics of Leptothrix disophora SP-6. Biotechnol. Prog., 18:994--1002, 2002.

<< Move to my start page.
<< Move to the short reviews start page.

Page Created: 11th January 2010.
Last Updated: 11th January 2010.