First attempts to model the virus - bacteria ...

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XVI International Conference on Computational Methods in Water Resources (CMWR-XVI) Ingeniørhuset

First attempts to model the virus - bacteria interaction in the context of bank filtration
Author:Gunnar Nuetzmann <> (Institute of Freshwater Ecology and Inland Fisheries)
Rainer Brueggemann <> (Institute of Freshwater Ecology and Inland Fisheries)
Kilian Pramschiefer <> (Technical University of Berlin)
Presenter:Rainer Brueggemann <> (Institute of Freshwater Ecology and Inland Fisheries)
Date: 2006-06-18     Track: Special Sessions     Session: Ecohydrology: From Detailed Descriptions To General Synthesis?

In Berlin the bank filtration plays an important role to obtain drinking water. During the passage of water in the saturated and unsaturated soil zone oxygen, nutrients, pollutants, pathogens etc. pass the system of pores and different kind of interactions take place. Whereas the transport processes of pathogens coupled with sorption and sinks can rather successfully described using different kinds of filtration and transport models, the biological interaction of e. g. bacteriophages with biofilms is still not well understood. Modelling of this kind of interactions is hampered by the poor data availability and by the difficult design of appropriate experiments. Therefore, simple mathematical models with as few parameters as possible may useful for a first qualitative insight. In this paper such a conceptual model is shown, taking into account virus and biofilm interaction and steady-state flow in a porous medium. Further assumptions about the role of transported solutes are made because of the non-linearity and complexity of the model. The concept of zero-isoclines is used to identify the fixpoints of the system and in a second step the dependence of the virus and bacteria concentration on the flow rate was studied. As a consequence of this modelling runs we cannot exclude that hysteretic effects depending on the water flow may appear.