Physics – Biological Physics
Scientific paper
2010-11-19
Journal of Nonlinear Mathematical Physics 18 (2011) 339-357
Physics
Biological Physics
accepted in the Journal of Nonlinear Mathematical Physics
Scientific paper
10.1142/S1402925111001568
The Transfer-Integral (TI) operator is a powerful method to investigate the statistical physics of 1-dimensional models, like those used to describe DNA denaturation. At the cost of a certain number of approximations, the TI equation can be reduced to a Pseudo-Schr\"odinger Equation (PSE), according to which the DNA sequence is equivalent to a point particle moving in a potential well. In this paper, I check the validity of the standard PSE approximation for two different 1-dimensional DNA models, and show that it fails to provide correct results for both of them. I then propose a generalized PSE, which works well for one of the two models. Finally, I discuss the particle description of DNA denaturation that is derived from this generalized PSE.
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