  We consider an interacting system of one-dimensional structures modelling
fibers with fiber-fiber interaction in a fiber lay-down process. The resulting
microscopic system is investigated by looking at different asymptotic limits of
the corresponding stochastic model. Equations arising from mean-field and
diffusion limits are considered. Furthermore, numerical methods for the
stochastic system and its mean-field counterpart are discussed. A numerical
comparison of solutions corresponding to the different scales (microscopic,
mesoscopic and macroscopic) is included.
