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# Project C2: The formation of biofilms as a collective process - theory.

We plan to describe the biofilm formation by a set
of continuum equations. It is

known that the Keller-Segel
partial differential equation for chemotacting bacteria

can be
derived directly from the microscopic model of point-like particles
perfor-

ming a random walk in the field of chemicals. This
approach will be generalized to

take into account all the
peculiarities of biofilms, such as the division of bacteria,

the
enhancement of motility as a function of density of bacteria, the
transport and

decay of signaling chemicals produced by bacteria,
chemotaxis and chemokinesis.

There are also two temporal scales
of the problem. One is given by the ratio of the

typical
distance traveled by bacteria and their average velocity. The second
one is

given by the time scale at which bacteria divide. We will
analyze a possible interplay

of these time scales. Numerical
work in this project involves simulations on the micros-

copic
level and also numerical solution of the continuum model.

It is
crucial that the developement of the theoretical model goes in
parallel with experi-

ments of project C1. Basic assumptions of
the model should be verified and quantified

in experiments. The
overall results for the study of biofilm formation obtained in theory,

simulations, and experiment should be brought together.**Project leaders: Dr. V. Zaburdaev, Prof.Dr. C. Beta
[1], Prof.Dr. H. Stark [2]**

e_ag_stark/parameter/en/