  We enlarge our results from the study of the hopping mechanism of the
oscillation excitation transport in 1D model of one biology-like macromolecular
chain to the case of a system composed from two 1D parallel macromolecular
chains with consideration of the properties of intramolecular oscillation
excitations. We suppose, that due to the exciton interaction with thermal
oscillation (generated by mechanical phonon subsystem) of structural elements
(consisting of the peptide group) of the chains, the exciton becomes by self
trapped and forms the polaron state. We suggest a model which generalizes the
modified Holstein polaron model to the case of two macromolecular chains and
find that because of the interchain coupling, the exciton energy band is
splitted into two subbands. The hopping process of exciton migration along the
macromolecular chains is studied in dependence of system parameters and
temperature. We pay an special attention to the temperature range (near T=300
K) in which living cells operate. It is found that for the certain values of
the system parameters there exists the abrupt change of the exciton migration
nature from practically free (light) exciton motion to an immobile (heavy,
dressed by phonon cloud) quasiparticle We discuss an application of the
obtained results to the exciton transport both within deoxyribonucleic acid
molecule and in the 2D polymer films organized from such macromolecular chains.
