Abstract
The redistribution of stable isotopes allows specifying the pathway of substrate utilization and identifying the relevant kinetic parameters. To describe degradation kinetics and identify predominant metabolic pathway for microbial substrate transformation, new basic equations, which take into account the dynamics of heavier isotope in the substrate, intermediates, and products were added to the common model of microbial substrate transformation, which did consider isotope differences at any step of substrate transformation. Using the unified approach, we showed that the dynamic changes of isotope fractionation depend on the kinetic coefficients, the initial conditions, and the microorganisms participating in the reactions during microbial denitrification, anaerobic oxidation of methane by sulphate and nitrite, aerobic oxidation of methane gas, and anaerobic digestion of cellulose.
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References
Conrad, R., Quantification of methanogenic pathways using stable carbon isotopic signatures: a review and a proposal, Org. Geochem., 2005, vol. 36, pp. 739–752.
Conrad, R., Noll, M., Claus, P., Klose, M., Bastos, W.R., and Enrich-Prast, A., Stable carbon isotope discrimination and microbiology of methane formation in tropical anoxic lake sediments, Biogeosciences., 2011, vol. 8, pp. 795–814.
Craig, H., Isotopic standards for carbon and oxygen and correction factors for mass-spectrometric analysis of carbon dioxide, Geochim. Cosmochim. Acta, 1957, vol. 12, pp. 133–149.
Ettwig, K.F., Butler, M.K., Le Paslier, D., Pelletier, E., Mangenot, S., et al., Nitrite-driven anaerobic methane oxidation by oxygenic bacteria, Nature, 2010, vol. 464, pp. 543–550.
Feisthauer, S., Vogt, C., Modrzynski, J., Szlenkier, M., Krüger, M., Siegert, M., and Richnow, H.H., Geochim. Cosmochim. Acta, 2011, vol. 75, p. 1173
Ferry, J.G., Methanogenesis: Ecology, Physiology, Biochemistry & Genetics, N.Y.: Chapman & Hall, 1993.
Hinrichs, K.U. and Boetius, A., The anaerobic oxidation of methane: new insights in microbial ecology and biogeochemistry, in Ocean Margin Systems, Wefer, G., Ed., Berlin: Springer-Verlag, 2002, pp. 457–477.
Holler, T., Wegener, G., Knittel, K., Boetius, A., Brunner, B., Kuypers, M.M.M., and Widdel, F., Substantial δ13CH4/δ12CH4 and D/H fractionation during anaerobic oxidation of methane by marine consortia enriched in vitro, Environ. Microbiol. Rep., 2009, vol. 1, pp. 370–376.
Knox, M., Quay, P.D., and Wilbur, D.J., Kinetic isotopic fractionation during air–water gas transfer of O2, N2, CH4, and H2, J. Geophys. Res., 1992, vol. 97, pp. 20335–20343.
Lynd, L.R., Weimer, P.J., van Zyl, W.H., and Pretorius, I.S., Microbial cellulose utilization: fundamentals and biotechnology, Microbiol. Molecul. Biol. Rev., 2002, vol. 66, pp. 506–577.
Mariotti, A., Germon, J.C., Hubert, P., Kaiser, P., Letolle, R., Tardieux, A., and Tardieux, P., Experimental determination of nitrogen kinetic isotope fractionation: some principles; illustration for the denitrification and nitrification processes, Plant Soil, 1981, vol. 62, pp. 413–430.
Rasigraf, O., Vogt, C., Richnow, H.H., Jetten, M.S.M., and Ettwig, K.F., Carbon and hydrogen isotope fractionation during nitrite-dependent anaerobic methane oxidation by Methylomirabilis oxyfera, Geochim. Cosmochim. Acta, 2012, vol. 89, pp. 256–264.
Rayleigh, J.W.C., Theoretical consideration respecting the separation of gases by diffusion and similar processes, Philos. Mag., 1896, vol. 42, pp. 493–498.
Rodriguez-Escales, P., van Breukelen, B.M., Vidal-Gavilan, G., Soler, A., and Folch, A., Integrating modelling of biogeochemical reactions and associated isotope fractionation at batch scale: A tool to monitor enhanced biodenitrification applications, Chem. Geol., 2014, vol. 365, pp. 20–29.
Schnurer, A., Houwen, F.P., and Svensson, B.H., Mesophilic syntrophic acetate oxidation during methane formation by a triculture at high ammonia concentration, Arch. Microbiol., 1994, vol. 162, pp. 70–74.
Thauer, R.K., Anaerobic oxidation of methane with sulfate: on the reversibility of the reactions that are catalized by enzymes also involved in Methanogenesis from CO2, Curr. Opin. Microbiol., 2011, vol. 14, pp. 292–299.
Templeton, A., Chu, K.H., Ivarez-Cohen, L., and Conrad, M.E., Geochim., Cosmochim. Acta, 2006, vol. 70, pp. 1739–1752.
Vavilin, V.A., Estimating changes of isotopic fractionation based on chemical reactions and microbial dynamics during anaerobic methane oxidation: apparent zero-and first-order kinetics at high and low initial methane concentrations, Antonie van Leeuwenhoek, 2013, vol. 103, pp. 375–383.
Vavilin, V.A. and Rytov, S.V., Non-linear dynamics of stable carbon and hydrogen isotope signatures based on a biological kinetic model of nitrite-dependent methane oxidation by “Candidatus Methelomirabilis oxyfera,” Antonie van Leeuwenhoek, 2013, vol. 104, pp. 1097–1108.
Vavilin, V.A. and Rytov, S.V., Nitrate denitrification with nitrite or nitrous oxide as intermediate products: Stoichiometry, kinetics snd dynamics of stabe isotope signatures, Chemosphere, 2015, vol. 134, pp. 417–426.
Vavilin, V.A., Rytov, S.V., Shim, N., and Vogt, C., Non-linear dynamics of stable carbon and hydrogen isotope signatures based on a biological kinetic model of aerobic enzymatic methane oxidation, IEHS, 2016, vol. 52, pp. 185–202.
Vavilin, V.A. and Rytov, S.V., Dynamic changes of apparent fractionation factor to describe transition to syntrophic acetate oxidation during cellulose and acetate methanization, IEHS, 2017, vol. 53, pp. 135–156.
Vavilin, V.A., Rytov, S.V., and Conrad, R., Modelling methane formation in sediments of tropical lakes focusing on syntrophic acetate oxidation: Dynamic and static carbon isotope equations. Ecol. Model., 2017; vol. 363, pp. 81–95.
Vidal-Gavilan, G., Folch, A., Otero, N., Solanas, A.M., and Soler, A., Isotope characterization of an in situ biodegradation pilot-test in a fractured aquifer. Appl. Geochem., 2013, vol. 32, pp.153–163.
Whiticar, M.J., Carbon and hydrogen isotope systematics of bacterial formation and oxidation of methane, Chem. Geol., 1999, vol. 161, pp. 291–314.
Zinder, S.H., in Methanogenesis, Ecology, Phisiology, Biochemistry and Genetics, Ferry, J.G., Ed., N.Y.: Chapman & Hall, 1993.
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Vavilin, V.A., Rytov, S.V. & Brezgunov, V.S. Basic Equations to Describe the Kinetic Isotope Effect during Microbial Substrate Transformation. Water Resour 45, 953–965 (2018). https://doi.org/10.1134/S0097807818060155
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DOI: https://doi.org/10.1134/S0097807818060155