In this study, modeling based on ant-colony optimization - artificial neural network have been employed to develop the model for simulation and optimization of nanometer SiO2 for the extraction of manganese and cobalt from water samples. The pH, time, amount of SiO2 nanoparticles and concentration of 1-(2-pyridylazo)-2-naphthol (PAN) were the input variables, while the extraction% of analytes was the output. Under the optimum conditions, the detection limits were 0.52 and 0.7 p.g L-1, for manganese and cobalt, respectively. The method was applied to the extraction of manganese and cobalt from water samples and one certified reference material. (C) 2013 The Korean Society of Industrial and Engineering Chemistry. Published by Elsevier B.V. All rights reserved.