Modeling the action of anaerobic biofilm


  • V. L. Poliakov Institute of Hydromechanics of the NAS of Ukraine



anaerobic biofilm, organic substrate, decomposition, volatile fatty acids, analytic solution, concen tration, consumption


A mathematical problem of the action of a representative biofilm in the absence of oxygen is formulated. The anaerobic process of decomposition of a dissolved organic matter is considered as a two-stage process, proceeding due to the vital activity of two groups of microorganisms. An approximate analytic solution allowing one to calculate the concentration and consumption of primary and secondary organic substrates with minimal errors has been obtained. On test examples, their rates of transfer through the biofilm surface are determined, and the possibility of the movement of volatile fatty acids in both directions is discussed.


Andrus, D.F. (1981). Development of a dynamic model and control strategy for the anaerobic decomposition process. In: A. James. (ed.) Mathematical models of water pollution, Moscow, Mir, pp. 321-345 (in Russian).

Dmitrenko, G.N. (2005). Oxygen-free microbial processes in water purification. J. Water Chemistry and Technology, 27, № 1, pp. 85-103. (in Russian).

Buffiere, P., Steyer, J.P., Fonade, C. & Moletta, R. (1998). Modeling and experiments on the influence of biofilm size and mass transfer in a fluidized bed reactor for anaerobic digestion. Water Res., 32, № 3, pp. 657-668.

Cakir, F.Y. & Stenstrom, M.K. (2005). Greenhouse gas production: a comparison between aerobic and anaerobic wastewater treatment technology. Water Res., 39, pp.4197-4203.

Knobel, A.N. & Lewis, A.E. (2002). A mathematical model of a high sulphate wastewater anaerobic treatment system. Water Res., 36, pp. 257-265.

Aspe, E., Marti, M.C. & Roeckel, M. (1997). Anaerobic treatment of fishery wastewater using a marine sediment inoculum. Water Res., 31, № 9, pp. 2147-2160.

Merkel, W., Manz, W., Szewzyk, U. & Krauth, K. (1999). Population dynamics in anaerobic wastewater reactors: modelling and in situ characterization. Water Res., 33, № 10, pp. 2392-2402.

Ribes, J., Keesman, K. & Spanjers, H. (2004). Modelling anaerobic biomass growth kinetics with a substrate threshold concentration. Water Res., 38, pp. 4502-4510.

Huang, J.-S. & Jih, C.-G. (1997). Deep-biofilm kinetics of substrate utilization in anaerobic filters. Water Res., 31, № 9, pp. 2309-2317.

Escudie, R., Conte, T., Steyer, J.P. & Delgenes, J.P. (2005). Hydrodynamic and biokinetic models of an anaerobic fixed-bed reactor. Process Biochemistry, 40, pp. 2311-2323.

Aguilar, A., Casus, C. & Lema, J.M. (1995). Degradation of volatile fatty acids by differently enriched methanogenic cultures: kinetics and inhibition. Water Res., 29, № 2, pp. 505-509.

Kus, F. & Wiesmann, U. (1995). Degradation kinetics of acetate and propionate by immobilized anaerobic mixed cultures. Water Res., 29, № 6, pp. 1437-1443.

Zonta, Z., Alves, M.M., Flotas, X. & Palats, J. (2013). Modelling inhibitory effects of long chain fatty acids in the anaerobic digestion process. Water Res., 47, № 3, pp. 623-636.

Poliakov, V.L. (2011). Modeling the biofiltration of water with limited organic substrate content. Aerobic biofilm. Dopov. Nac. akad. nauk Ukr., № 5, pp. 72-77 (in Russian).

Gvozdiak, P.I. (2019). Biochemistry of water. Biotechnology of water. Kiev-Mohyla Academy. 228 p. (in Ukrainian).




How to Cite

Poliakov, V. L. . (2021). Modeling the action of anaerobic biofilm. Reports of the National Academy of Sciences of Ukraine, (6), 52–58.