Periodic operation of a continuous culture of Baker's yeast, Biotechnol. Bioeng, vol.34, issue.6, pp.741-749, 1989. ,
Quasi steady state growth of Lactococcus lactis in glucose-limited acceleration stat (A-stat) cultures, Antonie van Leeuwenhoek, vol.95, issue.3, pp.219-226, 2009. ,
Cell growth and division I. A mathematical model with applications to cell volume distributions in mammalian suspension cultures, Biophys. J, vol.7, pp.329-351, 1967. ,
Dynamic modeling of the central carbon metabolism of Escherichia coli, Biotechnol. Bioeng, vol.79, issue.12, pp.53-73, 2002. ,
Statistics and dynamics of microbial cell populations, Chem. Eng. Prog. Symp. Ser, vol.69, pp.37-49, 1966. ,
A novel population balance model to investigate the kinetics of in vitro cell proliferation: Part I. Model development, Biotechnol. Bioeng, vol.109, issue.3, pp.772-781, 2012. ,
Adaptation to life at micromolar nutrient levels: the regulation of Escherichia coli glucose transport by endoinduction and cAMP, FEMS. Microbiol. Rev, vol.18, pp.301-317, 1996. ,
Growth of bacterial cultures' 50 years on: towards an uncertainty principle instead of constants in bacterial growth kinetics, Res. Microbiol, vol.150, issue.7, pp.431-438, 1999. ,
Regulation by nutrient limitation, Curr. Opin. Microbiol, vol.22, issue.2, pp.208-213, 1999. ,
Some Remarks on Changing Populations, p.382, 1959. ,
Continuous propagation of microorganisms, AIChE J, vol.9, issue.4, pp.459-468, 1963. ,
Role of reserve carbohydrates in the growth dynamics of Saccharomyces cerevisiae, FEMS Yeast Res, vol.4, issue.8, pp.773-787, 2004. ,
Multistaged corpuscular models of microbial growth: Monte Carlo simulations, BioSystems, vol.36, pp.19-35, 1995. ,
Approximative kinetic formats used in metabolic network modeling, Biotechnol. Bioeng, vol.91, issue.5, pp.534-545, 2005. ,
Transient responses of continuously growing yeast cultures to dilution rate shifts: a sensitive means to analyze biology and the performance of equipment, Biotechnol. Bioeng, vol.28, issue.1, pp.146-150, 1986. ,
Growth kinetics of suspended microbial cells: from single-substrate-controlled growth to mixed-substrate kinetics. Microbiol, Mol. Biol. Rev, vol.62, pp.646-666, 1998. ,
Fast dynamic response of the fermentative metabolism of Escherichia coli to aerobic and anaerobic glucose pulses, Biotechnol. Bioeng, vol.104, issue.6, pp.1153-1161, 2009. ,
A theory for the age and generation time distribution of a microbial population, J. Math. Biol, vol.103, pp.17-36, 1974. ,
A cell population balance model describing positive feedback loop expression dynamics, Comput. Chem. Eng, vol.29, pp.897-909, 2005. ,
Stochastic and deterministic simulation of heterogeneous cell population dynamics, J. Theor. Biol, vol.241, pp.690-706, 2006. ,
Stability in a nonlinear population maturation model, Math. Models Methods Appl. Sci, vol.12, issue.12, p.1751, 2004. ,
A structured model for the simulation of bioreactors under transient conditions, AIChE J, vol.55, issue.11, pp.2973-2984, 2009. ,
Coupling of biokinetic and population balance models to account for biological heterogeneity in bioreactors, AIChE J, vol.59, issue.2, pp.369-379, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-01268188
A population balance model for bioreactors combining interdivision time distributions and micromixing concepts, Biochem. Eng. J, vol.126, pp.135-145, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01605037
Bioreactor Modeling. Interactions between Hydrodynamics and Biology, 2017. ,
Glucose uptake rates of single E. coli cells grown in glucose-limited chemostat cultures, J. Microbiol. Methods, vol.42, issue.1, pp.87-96, 2000. ,
Influence of substrate oscillations on acetate formation and growth yield in Escherichia coli glucose limited fed-batch cultivations, Biotechnol. Bioeng, vol.47, issue.2, pp.139-146, 1995. ,
Long-term single cell analysis of S. pombe on a microfluidic microchemostat array, PLOS ONE, vol.9, issue.4, pp.1-11, 2014. ,
Modelling of continuous microbial cultivation taking into account the memory effects, Bioprocess Biosyst. Eng, vol.22, issue.6, pp.517-527, 2000. ,
A New kinetic model of growing bacteria population, J. Gen. Microbiol, vol.241, pp.589-617, 1960. ,
Transport Equations in Biology, 2007. ,
Investigating the interactions between physical and biological heterogeneities in bioreactors using compartment, population balance and metabolic models, Chem. Eng. Sci, vol.126, issue.0, pp.267-282, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01268988
Division in Escherichia coli is triggered by a size-sensing rather than a timing mechanism, BMC Biol, vol.12, issue.17, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00981312
Selective synchrony of cells of differing cycle times, J. Theor. Biol, vol.66, pp.389-398, 1977. ,
Transport theory for growing cell populations, J. Theor. Biol, vol.103, pp.181-199, 1983. ,
Monte Carlo simulation of microbial population growth, Math. Biosci, vol.31, pp.1-23, 1976. ,
Forced modulation of biological processes: a review, Chem. Eng. Sci, vol.63, issue.20, pp.5089-5105, 2008. ,
Drei Vorträge über Diffusion, Brownsche Molekularbewegung und Koagulation von Kolloidteilchen, Phys. Z, vol.17, pp.585-599, 1916. ,
A mathematical and computational approach for integrating the major sources of cell population heterogeneity, J. Theor. Biol, vol.266, pp.41-61, 2010. ,
On the mass distribution model for microbial cell populations, Bull. Math. Biophys, vol.32, pp.521-537, 1970. ,
Comparison of the transient responses of Escherichia coli to a glucose pulse of various intensities, Appl. Microbiol. Biotechnol, vol.95, pp.1021-1034, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-01268310
Mathematical models for cellular systems. The Von Foerster equation, Bull. Math. Biophys, vol.27, pp.285-304, 1965. ,
Algebraic and geometric understanding of cells: epigenetic inheritance of phenotypes between generations, High Resolut. Microb. Single Cell Anal, vol.124, pp.55-81, 2011. ,