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Ising-model description of long-range correlations in DNA sequences
A Colliva1, R Pellegrini2, A Testori1
1Dipartimento di Fisica dell'Università di Torino and I.N.F.N. sez. di Torino, Via Pietro Giuria 1, I-10125 Torino, Italy.
Abstract:
We model long-range correlations of nucleotides in the human DNA sequence using the long-range one-dimensional (1D) Ising model. We show that, for distances between 10(3) and 10(6) bp, the correlations show a universal behavior and may be described by the non-mean-field limit of the long-range 1D Ising model. This allows us to make some testable hypothesis on the nature of the interaction between distant portions of the DNA chain which led to the DNA structure that we observe today in higher eukaryotes.
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