“…Additional theories for polyelectrolyte electrophoresis have been developed by Hermans and Fujita , (porous sphere model), Overbeek and Stigter (porous sphere model), Takahashi et al (Poisson−Boltzmann rod model without relaxation effects), Abramson et al (Debye−Hückel rod model with incorrect orientational averaging), Mills (Poisson−Boltzmann rod model with incorrect orientational averaging and no relaxation effects), Imai and Iwasa (free-draining Poisson−Boltzmann coil model with unspecified chain friction constant), Schmitt et al , (phenomenological Debye−Hückel theory invoking empirical binary friction coefficients), van der Drift et al (Poisson−Boltzmann rod model with semiempirical relaxation correction), Long et al , (Zimm model with localized forces and no relaxation correction), and Allison et al ,, (boundary element methodology to describe the hydrodynamics and Poisson−Boltzmann electrostatics of arbitrarily shaped and charged rigid polyions).…”