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• MF module was hydraulically most efficient when treating liquid fraction of digestate. • Biomass yield was the highest when microalgae grew on MF at 0.4 MPa permeate. • High pH of UF permeate reduced microalgae growth by 50% • UF permeate for Chlorella vulgaris cultivation was the most efficient at 0.2 MPa. • Low nutrient content in two-stage filtration permeates inhibited microalgae growth. To make microalgae cultivation economically feasible, different waste streams that may serve as cultivation media are being searched for. The aim of this study was membrane filtration of the liquid fraction of digestate (LFD) to produce permeate that will be an effective medium for the cultivation of Chlorella vulgaris. Microfiltration (MF) and ultrafiltration (UF) with ceramic membranes were used in one- and two-stage systems at transmembrane pressures (TMP) of 0.2, 0.3, and 0.4 MPa. The hydraulic capacities of the membrane modules allowed MF at 0.2 MPa to be selected as the most feasible variant of the one-stage variants. The use of MF permeates for microalgae cultivation resulted in the highest biomass yield, due to optimum pH (about 8.8), low color, and high nutrient concentration (about 290 mg/dm3 of ammonium and about 22 mg/dm3 of orthophosphates). The high pH (about 9.7) of the UF permeates, which increased the concentration of free ammonia, reduced microalgae growth by 50% compared to the growth noted with the MF permeates. Due to the low nutrient concentration, the use of permeates from the two-stage systems resulted in microalgae growth more than two times lower than the use of MF permeates. Mathematical modeling indicated that the component of the cultivation medium that most significantly affected microalgae growth was the initial ammonium concentration. [ABSTRACT FROM AUTHOR]