Two exciton states in discrete and continuum alpha-helical proteins

The dynamics of alpha-helical proteins is described by proposing a model Hamiltonian representing two exciton bound states. The dynamics is studied by constructing the equations of motion using a two exciton eigen-function in the discrete level. A numerical analysis shows the existence of two excitons in alpha-helical proteins and its propagation as solitons along the hydrogen bonding spines. The lattice model is also treated in the continuum limit which is a valid approximation in the low temperature, long wavelength limit. The resulting equation is studied using the multiple scale perturbation analysis which also shows the transfer of two exciton energy through alpha-helical proteins in the form of solitons with no change in velocity and amplitude.

► The dynamics of alpha-helical proteins with two exciton states is studied.
► The dynamics is studied both in the discrete and continuum levels.
► The resulting equations are solved numerically and analytically.
► The solution supports the propagation of the energy in the form of solitons.