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Mathematical Modeling of Biofilms (Paperback)
Loot Price: R2,863
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Mathematical Modeling of Biofilms (Paperback)
Series: Scientific and Technical Report Series
Expected to ship within 12 - 17 working days
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Over 90% of bacterial biomass exists in the form of biofilms. The
ability of bacteria to attach to surfaces and to form biofilms
often is an important competitive advantage for them over bacteria
growing in suspension. Some biofilms are good in natural and
engineered systems; they are responsible for nutrient cycling in
nature and are used to purify waters in engineering processes.
Other biofilms are bad when they cause fouling and infections of
humans and plants. Whether we want to promote good biofilms or
eliminate bad biofilms, we need to understand how they work and
what works to control them. Mathematical models help us understand
the complex phenomena that occur in biofilms. In recent years,
biofilm modelling has rapidly advanced, resulting in a diversity of
modeling approaches and tools. On the one hand, complex
three-dimensional biofilm models can describe many aspects of the
formation of heterogeneous biofilms. On the other hand, it is not
always necessary to use such complex models. Simple models - ones
that can be solved easily with a spreadsheet sometimes provide the
information we need.Mathematical Modeling of Biofilms provides
guidelines for the selection and use of mathematical models of
biofilms. The whole range of existing models -- from simple
analytical expressions to complex numerical models -- is covered.
The application of the models for the solution of typical problems
is demonstrated, and the performance of the models is tested in
comparative studies. With the dramatic evolution of the
computational capacity still going on, modeling tools for research
and practice will become more and more significant in the next few
years. This report provides the foundation to understand the models
and to select the most appropriate one for a given use. The
different types of biofilm models are described and compared for
specific applications. For example, mathematical models often are
used to quantify substrate conversion in biofilm reactors used for
water treatment. A different application is for describing how
heterogeneous biofilms develop in time and space. Mathematical
Modeling of Biofilms gives a state-of-the-art overview that is
especially valuable for educating students, new biofilm
researchers, and design engineers.Through a series of three
benchmark problems, the report demonstrates how to use the
different models and indicates when simple or highly complex models
are most appropriate.
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