Borsche, R.R.BorscheKlar, A.A.KlarNessler, C.C.NesslerRoth, A.A.RothTse, O.O.Tse2022-03-052022-03-052017https://publica.fraunhofer.de/handle/publica/25213210.1137/1510055922-s2.0-85028591578We consider an interacting system of one-dimensional structures modeling 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.en003511006519journal article