Two approaches for modelling the formation of filamentary structures in cavitation bubble fields are presented. The first one describes the interaction of the sound field and the distribution of microbubbles in terms of a set of two coupled partial differential equations that determine the evolution of the sound-field amplitude and the bubble density. The second approach consists of a quasideterministic aggregation model, where the bubbles are treated as pulsating particles which experience radiation forces due to the sound-fields radiated from the other pulsating bubbles. Results of numerical simulations are presented for both models. The validity and limitations of both approaches are discussed.