#TITLE_ALTERNATIVE#

• Main Author: DWIPUTRA (NIM. 10210046), DONNY
• Format: Final Project
• Language: Indonesia
• Online Access: https://digilib.itb.ac.id/gdl/view/20041
• Institution: Institut Teknologi Bandung

DNA (deoxyribonucleic acid) is a fundamental basis of life, which is not only an interesting object of study for biologists, but also raises numerous questions demanding for physicists to solve the development of DNA physics is now still new. This paper investigates several nonlinear models for DNA including the soliton solutions of the motions, with in prior the DNA biological aspects: structure, dynamics, and functions are explained as the models basis. In the first part, the DNA structure is drawn completely and the DNA dynamics is pictured out by the scale of external force which had been reported by a previous experiment. The physical phenomenon in focus here is the DNA denaturation i.e. separation of both DNA chains. The nonlinear models are Englander, Muto, Yakushevich, and Peyrard-Bishop model. Each model will be explained schematically and the solutions will be derived in the manner of detail, and completed with the solutions illustrations. Several methods are used to solve the nonlinear equations one of them is the Hirota bilinear method. After the investigation of DNA models, this paper presents the statistical mechanics using Path Integral method. The Path Integral formalism, as in quantum eld theory, will be derived rigorously. To get the application in field of DNA, this paper also gives the application of Path Integral in statistical mechanics, which is the calculation of partition function Z. The method is used to do an exact calculation to get the mean stretching of the Hydrogen bond connecting the base pairs under the effect of temperature. The statistical approach gives a good description of the DNA denaturation.