DNA aptamers are molecular biosensors consisting of single functionalized DNA molecules, which can bind to specific targets or complementary DNA sequences. The binding kinetics of DNA aptamers is studied by fluorescence quenching at 23 degrees C . A kinetic model for the binding reaction of DNA aptamer, antisense DNA, and ATP target is developed to describe experimental observations. The approach leads to a simple procedure to deduce relevant kinetic reactions and their rate constants. A comparison between theory and experiments indicates that the previously established bimolecular DNA-ATP binding does not provide a complete description of the experimental data. Side reactions such as trimolecular complexation are proposed. Rate constants of the model are determined by comparing the model predictions and experiments. Good agreements between the model and experiments have been obtained. Possible blocking reactions by the misfolded DNA aptamer are also discussed.