DNA nanocompartment is a typical DNA-based machine whose function is
dependent of molecular collective effect. Fundamental properties of the device
have been addressed via electrochemical analysis, fluorescent microscopy, and
atomic force microscopy. Interesting and novel phenomena emerged during the
switching of the device. We have found that DNAs in this system exhibit a much
steep melting transition compared to ones in bulk solution or conventional DNA
array. To achieve an understanding to this discrepancy, we introduced DNA-DNA
interaction potential to the conventional Ising-like Zimm-Bragg theory and
Peyrard-Bishop model of DNA melting. To avoid unrealistic numerical calculation
caused by modification of the Peyrard-Bishop nonlinear Hamiltonian with the
DNA-DNA interaction, we established coarse-gained Monte Carlo recursion
relations by elucidation of five components of energy change during melting
transition. The result suggests that DNA-DNA interaction potential accounts for
the observed steep transition.Comment: 12 pages, 5 figure