Helical structures like alpha helices, DNA, and microtubules have profound importance in biology. It has been suggested that these periodic arrangements of the constituent units could support collective excitations similarly to crystalline solids, which display a continuous spectrum and localized excitations. Here, we examine the interaction between such constructs and oscillating dipoles, and evaluate the role of the helical structure in the coupling between electrodynamic fields and phonons. Based on an eigenfunction analysis, we found that the helical configuration couples the azimuthal and axial degrees of freedom of the modes, which, in turn, leads to a discrete spectrum and delocalized excitations. Quasistatic eigenpermittivities are usually negative but we show here that in the case of anisotropic structures with cylindrical symmetry they are positive. This suggests a strong electrodynamic response in naturally occurring structures such as microtubules. The new type of dielectric quasistatic resonances identified here may help explain the role of electrodynamic fields in the diverse functionality of cytoskeletal microtubules in the cellular environment.Microtubules (MTs) are tubular helical structures that self-assemble from their constituent tubulin-protein units. MTs are critical for the development and maintenance of the cell shape, transport of vesicles and other components throughout cells, cell signaling, division, and mitosis. Because of their distribution of charges and the large dipole moments associated with tubulins [1], the microtubules have unique electric properties, which may affect the interactions with surrounding molecules, also beyond the common shortrange Coulomb and van der Waals interactions [2].