A model of a syntrophic relationship between two microbial species in a chemostat including maintenance.

[1]  Alain Rapaport,et al.  Application of a Robust Interval Observer to an Anaerobic Digestion Process , 2008 .

[2]  Mogens Henze,et al.  Biological Wastewater Treatment: Principles, Modeling and Design , 2015 .

[3]  Ahnut Burchard,et al.  Substrate degradation by a mutualistic association of two species in the Chemostat , 1994 .

[4]  Gunog Seo,et al.  Mathematical model of anaerobic digestion in a chemostat: effects of syntrophy and inhibition , 2013, Journal of biological dynamics.

[5]  Chaotic behaviour of a predator–prey system in the chemostat , .

[6]  J Harmand,et al.  Software sensors for highly uncertain WWTPs: a new approach based on interval observers. , 2002, Water research.

[7]  Jérôme Harmand,et al.  A mathematical study of a syntrophic relationship of a model of anaerobic digestion process. , 2010, Mathematical biosciences and engineering : MBE.

[8]  E. Bohl,et al.  A mathematical model of syntrophic cocultures in the chemostat(Anaerobic degradation; H2-producing acetogenic bacteria; methanogens; interspecies H2-transfer; continuous culture; growth rate expressions) , 1986 .

[9]  Brahim Benyahia,et al.  Bifurcation and stability analysis of a two step model for monitoring anaerobic digestion processes , 2012 .

[10]  A Genovesi,et al.  Dynamical model development and parameter identification for an anaerobic wastewater treatment process. , 2001, Biotechnology and bioengineering.

[11]  G. Hamer,et al.  Interactions in a mixed bacterial population growing on methane in continuous culture , 1974, Biotechnology and bioengineering.

[12]  H. Siegrist,et al.  The IWA Anaerobic Digestion Model No 1 (ADM1). , 2002, Water science and technology : a journal of the International Association on Water Pollution Research.

[13]  Model-based characterization of endogenous maintenance, cell death and predation processes of activated sludge in sequencing batch reactors , 2011 .

[14]  Gail S. K. Wolkowicz,et al.  Optimal biogas production in a model for anaerobic digestion , 2015 .

[15]  G. Stephanopoulos.  The dynamics of commensalism , 1981 .

[16]  S. Pavlou,et al.  Chaotic dynamics of a food web in a chemostat. , 1999, Mathematical biosciences.

[17]  T. Sari,et al.  Maintenance does not affect the stability of a two-tiered microbial 'food chain' , 2014 .

[18]  M. Boer,et al.  Ecological consequences of global bifurcations in some food chain models. , 2010, Mathematical biosciences.

[19]  Grietje Zeeman,et al.  Anaerobic Wastewater Treatment , 2008 .

[20]  J. Steyer,et al.  Modeling microbial diversity in anaerobic digestion through an extended ADM1 model. , 2009, Water research.

[21]  Mia Loccufier,et al.  Determination of appropriate operating strategies for anaerobic digestion systems , 2010 .

[22]  B W Kooi,et al.  Food chain dynamics in the chemostat. , 1998, Mathematical biosciences.

[23]  P. Reilly.  Stability of commensalistic systems , 1974, Biotechnology and bioengineering.

[24]  Miled El Hajji,et al.  The mathematical analysis of a syntrophic relationship between two microbial species in a chemostat. , 2012, Mathematical biosciences and engineering : MBE.

[25]  Jérôme Harmand,et al.  Association between competition and obligate mutualism in a chemostat , 2009, Journal of biological dynamics.

[26]  J. Dolfing,et al.  Maintenance affects the stability of a two-tiered microbial 'food chain'? , 2011, Journal of theoretical biology.

[27]  E. Bohl,et al.  Bistability in the chemostat , 1988 .

[28]  Tomáš Gedeon,et al.  Quantifying the effects of the division of labor in metabolic pathways. , 2014, Journal of theoretical biology.

[29]  Jérôme Harmand,et al.  Perspectives in mathematical modelling for microbial ecology , 2016, Ecological Modelling.

[30]  B De Baets,et al.  Steady state multiplicity of two-step biological conversion systems with general kinetics. , 2010, Mathematical Biosciences.

[31]  Peter Gluchowski,et al.  F , 1934, The Herodotus Encyclopedia.

[32]  E. Bohl,et al.  A mathematical model of syntrophic cocultures in the chemostat , 1986 .

[33]  Annisa Aditsania,et al.  Anaerobic Digestion Model No . 1 ( ADM 1 ) , 2016 .

[34]  Kai Sundmacher,et al.  Steady-state analysis of the Anaerobic Digestion Model No. 1 (ADM1) , 2013 .