Elaboration of a biased radnom walk model with a high spatial resolaution for the simulation of microorganisms exposure to gradient stress in scale-down reactors
Delvigne, Frank; Destain, Jacqueline; Thonart, Philippe
2008 • In Biochemical Engineering Journal, 39, p. 105-114
Thonart, Philippe ; Université de Liège - ULiège > Gembloux Agro-Bio Tech > Gembloux Agro-Bio Tech - Biochimie et microbiologie industrielles
Language :
English
Title :
Elaboration of a biased radnom walk model with a high spatial resolaution for the simulation of microorganisms exposure to gradient stress in scale-down reactors
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
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
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
Schmalzriedt S., Jenne M., Mauch K., and Reuss M. Integration of physiology and fluid dynamics. Adv. Biochem. Eng. 80 (2003) 19-68
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
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
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
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
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
Cortis A., and Berkowitz B. Anomalous transport in classical soil and sand columns. Soil Sci. Soc. Am. J. 68 (2004) 1539-1548
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
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
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.
Perry R.H., and Green D.W. Perry's Chemical Engineers' Handbook. seventh ed. (1997), Mac Graw and Hill
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
Villermaux J. Trajectory length distribution (TLD), a novel concept to characterize mixing in flow system. Chem. Eng. Sci. 51 10 (1996) 1939-1946
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
B. Solaiman, Processus stochastiques pour l'ingénieur, Collection technique et scientifique des telecommunications, Presses polytechniques et universitaires romandes, 2006, 241 pp.
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
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
Basu S., Karig D., and Weiss R. Engineering signal processing in cells: towards molecular concentration band detection. Nat. Comput. 2 (2003) 463-478
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
Rao C.V., Wolf D.M., and Arkin A.P. Control, exploitation and tolerance of intracellular noise. Nature 420 14 (2002) 231-237
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
Chatfield C. The analysis of time series. Texts in Statistical Science. Sixth ed. (2004), Chapman & Hall/CRC, Boca Raton 333 pp.
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
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
