This study aimed to modeling and mathematical simulation of immersion bioreactor by bubbles. Were used shoots Oncidiumleucochilum, liquid MS medium supplemented with 1 mg L-1 BAP (6-benzylaminopurine) 0.25 mg L-1 NAA (naphthaleneacetic acid) and 0.5 µL Tween 20, pH adjusted to 5.8. The cultures were maintained in growth room at 25 ± 2 ° C under cool white fluorescent lamps (35 mol.m-2.s-1), with 16 hours photoperiod. The experimental design was randomized blocks, with thirty shoots in stages. After 30 days of culture were assessed growth parameters of explants of respirometry and hydrodynamics B.I.B.®. It was found that irradiance of 35 mol.m-2.s-1 supplied over 16 hours, determining the O2 consumption totaling 23.8 hours between photosynthetic cycles. The relative electrical conductivity has a behavior consistent with what is expected of the mixture in the bioreactor, and is an appropriate measure to aeration of the culture medium promoting good stirring, causing a homogenization (180s to reach 95% of the concentration equilibrium), which indicates that there exists beyond the aeration mass liquid transfer means between stages. The results of the kinetic variable, total number of shoots, total fresh mass and shoot height propitiated consistency in relation to the established model.
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