We present numerical results about the dynamics of kinks in some discrete systems of equations coming from simple mechanical models of DNA, including a celebrated model of L. Yakushevich, and whose continuous limit is, exactly or modulo some approximation, the Sine-Gordon equation. In particular our results show that the Y model improves substantially if we replace the pairing potential, which is considered harmonic in the distance between facing pairs of bases, with a Morse potential.
Some numerical results on motion of kinks in some model of DNA torsional dynamics
DE LEO, ROBERTO;
2011-01-01
Abstract
We present numerical results about the dynamics of kinks in some discrete systems of equations coming from simple mechanical models of DNA, including a celebrated model of L. Yakushevich, and whose continuous limit is, exactly or modulo some approximation, the Sine-Gordon equation. In particular our results show that the Y model improves substantially if we replace the pairing potential, which is considered harmonic in the distance between facing pairs of bases, with a Morse potential.
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