Elaboration of a biased random walk model with a high spatial resolution for the simulation of the microorganisms exposure to gradient stress in scale-down reactors

Biochemical Engineering Journal

Volumn 39, Issue 1, 2008, Pages 105-114

  Delvigne, F ^a   Destain, J ^a   Thonart, P ^a  

^a WALLOON AGRICULTURAL RESEARCH CENTRE   (Belgium)

Author keywords

Bioreactors; Extracellular environment; Mixing; Modelling; Scale down; Stochastic

Indexed keywords

BIOACTIVITY; COMPUTER SIMULATION; MATHEMATICAL MODELS; MICROORGANISMS; RANDOM PROCESSES;

EXTRACELLULAR ENVIRONMENT; MIXING EFFICIENCY; RESIDENCE TIME DISTRIBUTIONS (RTD); SCALE DOWN REACTORS;

BIOREACTORS;

ARTICLE; BIOREACTOR; CHEMICAL ENGINEERING; ENVIRONMENT; MICROORGANISM; MODEL; PRIORITY JOURNAL; SIMULATION; SPECTROSCOPY; STATISTICS; STRESS;

STREPTOMYCES FRADIAE;

EID: 43049089764     PISSN: 1369703X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.bej.2007.08.019     Document Type: Article

References (27)

1. Vlaev D., Mann R., Lossev V., Vlaev S.D., Zahradnik J., and Seichter P. Macro-mixing and Streptomyces fradiae: modelling oxygen and nutrient segregation in an industrial bioreactor. Trans. IChemE 78 (2000) 354-362
2. Enfors S.O., Jahic M., Rozkov A., Xu B., Hecker M., Jürgen B., Krüger E., Schweder T., Hamer G., O'Beirne D., Noisommit-Rizzi N., Reuss M., Boone L., Hewitt C., McFarlane C., Nienow A., Kovacs T., Trägardh C., Fuchs L., Revstedt J., Friberg P.C., Hjertager B., Blomsten G., Skogman H., Hjort S., Hoeks F., Lin H.Y., Neubauer P., van der Lans R., Luyben K., Vrabel P., and Manelius A. Physiological responses to mixing in large scale bioreactors. J. Biotechnol. 85 (2001) 175-185
3. Lapin A., Schmid J., and Reuss M. Modeling the dynamics of E. coli populations in the three-dimensional turbulent field of a stirred bioreactor-a structured-segregated approach. Chem. Eng. Sci. 61 (2006) 4783-4797
4. Schmalzriedt S., Jenne M., Mauch K., and Reuss M. Integration of physiology and fluid dynamics. Adv. Biochem. Eng. 80 (2003) 19-68
5. Delvigne F., Lejeune A., Destain J., and Thonart P. Stochastic models to study the impact of mixing on a fed-batch culture of Saccharomyces cerevisiae. Biotechnol. Prog. 22 (2006) 259-269
6. Delvigne F., Lejeune A., Destain J., and Thonart P. Modelling of the substrate heterogeneities experienced by a limited microbial population in scale-down and in large-scale bioreactors. Chem. Eng. J. 120 (2006) 157-167
7. Oosterhuis N.M.G., Kossen N.W.F., Olivier A.P.C., and Schenk E.S. Scale-down and optimization studies of the gluconic acid fermentation by Gluconobacter oxydans. Biotechnol. Bioeng. 27 (1985) 711-720
8. Neubauer P., Häggström L., and Enfors S.O. Influence of substrate oscillations on acetate formation and growth yield in Escherichia coli glucose limited fed-batch cultivations. Biotechnol. Bioeng. 47 (1995) 139-146
9. Namdev P.K., Yegneswaran P.K., Thompson B.G., and Gray M.R. Experimental simulation of large-scale bioreactor environments using a Monte Carlo method. Can. J. Chem. Eng. 69 (1991) 513-519
10. Cortis A., and Berkowitz B. Anomalous transport in classical soil and sand columns. Soil Sci. Soc. Am. J. 68 (2004) 1539-1548
11. Gutierrez R., Roldan C., Gutierrez-Sanchez R., and Angulo J.M. Estimation and prediction of a 2D lognormal diffusion random field. Stoch. Environ. Res. Risk Assess. 19 (2005) 258-265
12. Dentz M., Cortis A., Scher H., and Berkowitz B. Time behaviour of solute transport in heterogeneous media: transition from anomalous to normal transport. Adv. Water Resour. 27 (2004) 155-173
13. Allen L.J.S. An Introduction to Stochastic Processes with Applications to Biology. first ed. (2003), Pearson Prentice Hall, Upper Saddle River, New Jersey 385 pp.
14. Perry R.H., and Green D.W. Perry's Chemical Engineers' Handbook. seventh ed. (1997), Mac Graw and Hill
15. Kurnaz M.L., and Schwartz D.K. Channel flow in a Langmuir monolayer: unusual velocity profile in a liquid-crystalline mesophase. Phys. Rev. E 56 3 (1997) 3378-3384
16. Villermaux J. Trajectory length distribution (TLD), a novel concept to characterize mixing in flow system. Chem. Eng. Sci. 51 10 (1996) 1939-1946
17. Larachi F., Grandjean B.P.A., and Chaouki J. Mixing and circulation of solids in spouted beds: particle tracking and Monte Carlo emulation of the gross flow pattern. Chem. Eng. Sci. 58 (2003) 1497-1507
18. B. Solaiman, Processus stochastiques pour l'ingénieur, Collection technique et scientifique des telecommunications, Presses polytechniques et universitaires romandes, 2006, 241 pp.
19. Delvigne F., Destain J., and Thonart P. A methodology for the design of scale-down bioreactors by the use of mixing and circulation stochastic models. Biochem. Eng. J. 28 3 (2006) 256-268
20. Namdev P.K., Thompson B.G., and Gray M.R. Effect of feed zone in fed-batch fermentations of Saccharomyces cerevisiae. Biotechnol. Bioeng. 40 2 (1992) 235-246
21. Basu S., Karig D., and Weiss R. Engineering signal processing in cells: towards molecular concentration band detection. Nat. Comput. 2 (2003) 463-478
22. Wolf D.M., Vazirani V.V., and Arkin A.P. Diversity in times of adversity: probabilistic strategies in microbial survival games. J. Theor. Biol. 234 2 (2005) 227-253
23. Rao C.V., Wolf D.M., and Arkin A.P. Control, exploitation and tolerance of intracellular noise. Nature 420 14 (2002) 231-237
24. Reijenga K.A., Bakker B.M., van der Weijden C.C., and Westerhoff H.V. Training of yeast cell dynamics. FEBS J. 272 (2005) 1616-1624
25. Chatfield C. The analysis of time series. Texts in Statistical Science. Sixth ed. (2004), Chapman & Hall/CRC, Boca Raton 333 pp.
26. Delvigne F., Destain J., and Thonart P. Bioreactor hydrodynamic effect on Escherichia coli physiology: experimental results and stochastic simulations. Bioprocess Biosyst. Eng. 28 (2005) 131-137
27. Fitch A.W., and Ni X. On the determination of axial dispersion coefficient in a batch oscillatory baffled column using laser induced fluorescence. Chem. Eng. J. 92 (2003) 243-253