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| Igor Doktorski - Modeling growth of cell cultures
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Abstract:
Understanding and describing growth of cell colonies, like bacterial
cultures, tumors, thrombi etc. is an important and challenging aim for
modelers and mathematicians. Despite of many biological differences
between specific cell colonies, they all have some important features
in common, which will be used to derive a "first principle" model.
With regard to quantitative predictions, it
is of outmost importance to consider both mechanics and chemistry of
the system.
From a mathematical point of view, the model is a "multi-component" model: a
coupled system of visco-elastic and transport equations with source terms.
Additional reaction-diffusion equations describe the chemical part of the
system. The strong coupling between both characterises the biochemical
part of the system.
In my talk, I will concentrate on a model system - a biofilm. Biofilms
are three-dimensional submerged bacterial cultures. They are
responsible for many infections in hospitals, huge energy losses in industry, but can
be also used for "catalysing" bio-chemical processes in bio-reactors.
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