Tibatan, M. A. | bioRxiv Science

bioRxiv2023

Mutation Mechanism In DNA: Non-Hermitian Approach

We propose a novel mutation mechanism for points and ordinary or palindromic sequences of DNA and RNA. We adopted non-Hermitian approaches based on quantum mechanics. Hermiticity is in the limelight of any physical structure with quantum character, like DNA, or RNA, as it creates quantum stability in that it yields real eigenvalues and orthonormal states. We show that, through the mutation mechanism we constructed based on non-Hermitian physics, the deterioration of the Hermitian character of the original DNA states, nucleotides, does not create a stability problem. We show that Weyls perturbation theory helps us determine the stability of mutated DNA or RNA. We prove that mutations made in the laboratory with conventional nucleotides using non-Hermitian physics methods are not different from mutations that occur spontaneously in nature. This result may help to reveal the quantum nature of genetic diseases in the near future and may shape the molecular approaches.

biophysics↗

bioRxiv2021

Unitary Structure of Palindromes in DNA

We investigate the quantum behavior encountered in palindromes within DNA structure. In particular, we reveal the unitary structure of usual palindromic sequences found in genomic DNAs of all living organisms, using the Schwingers approach. We clearly demonstrate the role played by palindromic configurations with special emphasis on physical symmetries, in particular subsymmetries of unitary structure. We unveil the prominence of unitary structure in palindromic sequences in the sense that vitally significant information endowed within DNA could be transformed unchangeably in the process of transcription. We introduce a new symmetry relation, namely purine-purine or pyrimidine-pyrimidine symmetries (p-symmetry) in addition to the already known symmetry relation of purine-pyrimidine symmetries (pp-symmetry) given by Chargaffs rule. Therefore, important vital functions of a living organisms are protected by means of these symmetric features. It is understood that higher order palindromic sequences could be generated in terms of the basis of the highest prime numbers that make up the palindrome sequence number. We propose that violation of this unitary structure of palindromic sequences by means of our proposed symmetries leads to a mutation in DNA, which could offer a new perspective in the scientific studies on the origin and cause of mutation.

biophysics↗