Calculations of the interaction energy and dielectric responses of chiral single walled carbon nanotubes to the presence of amino acid enantiomers are carried out. A theoretical study is developed to show that the frequency shifts of selected nanotubes conveniently tailored to the size of the probed molecules and used in a resonator configuration can selectively detect different species of amino acids and the left- and right-handed enantiomers of these species. Criteria for an optimization of the adsorption energy and frequency response on the size and chiral angle of the nanotubes are given. It is found that a very small set of carbon tubes obeys these conditions.