Parameter Estimation in Biofilm Models

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Parameter Estimation in Biofilm Models

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Publication Conference Paper, peer reviewed
Title Parameter Estimation in Biofilm Models
Author(s) Masic, Alma ; Overgaard, Niels ; Heyden, Anders
Date 2008
English abstract
Mathematical modeling of biofilm development has been an active research topic during the latest years. The main purpose of these models is to understand and predict biofilm growth and development. One of the first mathematical model was the so called Wanner-Gujer model, where a one-dimensional model capable of describing multiple species development was proposed. Later on, more advanced models, incorporating more dimensions, eps-production, cell-to-cell-signalling and other properties have been developed. The major obstacle when trying to predict biofilm development using these mathematical models is that a huge number of parameters are needed, such as parameters in the bacterial metabolism, growth and detachment rates. Some of these parameters are possible to measure in experimental conditions, but others are more difficult, such as the detachment rate. In this paper, we will propose a methodology for estimating parameters in mathematical models of biofilm development from comparison of model prediction and experimental data. The proposed method is based on parameter identification methods used in automatic control theory. We will especially focus on the determination of the detachment rate in the Wanner-Gujer model.
Publisher International Water Association
Host/Issue Proceedings. Oral Pres. 8th. Int. IWA Conf. on Biofilm Technologies
Pages 257-258
Language eng (iso)
Subject(s) biofilm modeling
parameter estimation
Research Subject Categories::MATHEMATICS::Applied mathematics
Note Oral presentation at Biofilm Technologies in Singapore, 8-10 Jan 2008.
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