Statistical Mechanics of DNA Mutation using SUSY Quantum Mechanics

TL;DR

This paper applies supersymmetric quantum mechanics to model DNA mutation and denaturation, revealing how exceptional polynomials influence mutation processes through a statistical mechanics framework.

Contribution

It introduces a novel approach using SUSY quantum mechanics and exceptional polynomials to analyze DNA mutation and denaturation.

Findings

Partition function converted into Schrödinger-like equation

SUSY techniques model DNA mutation effectively

Thermal denaturation analyzed for mutated DNA states

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 Schr\"odinger 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.