Statistical Mechanics of DNA Mutation using SUSY Quantum Mechanics

Abstract

In this paper, we investigate DNA denaturation through Statistical Mechanics and show that exceptional polynomials lead to DNA mutation. We consider a DNA model with two chains connected by Morse potential representing the H bonds, and then we calculate the partition function for this model. The partition function is converted into a Schrödinger like an equation. We exploit the techniques of SUSY quantum mechanics to model DNA mutation. We also compute the thermal denaturation of DNA for each mutated state.

References in corpus (3)

• Exceptional orthogonal polynomials, exactly solvable potentials and supersymmetry
• Dynamics of DNA-breathing: Weak noise analysis, finite time singularity, and mapping onto the quantum Coulomb problem
• Relativistic Potentials with Rational Extensions