To investigate morphogenesis and in particular circularization mechani
sms in young mycelia, we observe cultures of the zygomycete Mucor spin
osus and develop discrete models of two-dimensional filamental branchi
ng growth. The models are based on the hypothesis that the fungus secr
etes a regulatory substance that diffuses into the surrounding medium
and is detected by the growing hyphae. We also present a simple Markov
ian growth model without such a feedback, but yielding to analytical c
omputations.