ABSTRACT
A crucial aspect of many biological processes at molecular level is the transfer and storagemechanism of bioenergy released in the reaction of the hydrolysis of Adenosinetriphosphate(ATP) by biomacromolecule especially protein. Model of Soliton Davydov is a new breakthroughthat could describe that mechanism. There are two model proposed by Davydovnamely that based on: simplified ansatz 2 D and more complicated ansatz 1 D . Here wehave reformulated quantum mechanical the Davydov theory, using least action principle.Temperature effect has been inserted using standard method of statistical mechanics for 1 Dand using Langevin equation for 2 D . Dynamical aspect of the model is analyzed bynumerical calculation. We found two dynamical cases: the traveling and pinning soliton thatare related to the energi transfer and storage mechanism in the protein. Traveling and pinningsoliton can be controlled by strength of coupling parameter and the appropriate initialcondition. In 3- channel (chain) approximation, we found the breather phenomena in whichits frequency is determined by interchain coupling parameter. The 1 D and 2 D modelshave the same dynamical characteristics at zero temperature, but at finite temperature 1 Dmore reliable than 2 D .