Charge Discreteness as Model in Charge Migration in a Chain of DNA Molecules under Radiation

Charge migration through DNA is a problem to be solved. A numerical wavefront solution for quantum transmission lines with charge discreteness is obtained as model for the charge migration of a chain DNA molecules induced by electromagnetic radiation. The nonlinearity of the system becomes deeply related to charge discreteness. The wavefront velocity depends on the normalized (pseudo) flux variable. Finding the dispersion relation for the normalized flux we show that the condition on the wave-front velocity gives the band-gap conditions for the charge propagation on the system.