Markov chain-like quantum biological modeling of mutations, aging, and evolution

Research output: Contribution to journalArticle

Abstract

Recent evidence suggests that quantum mechanics is relevant in photosynthesis, magnetoreception, enzymatic catalytic reactions, olfactory reception, photoreception, genetics, electron-transfer in proteins, and evolution; to mention few. In our recent paper published in Life, we have derived the operator-sum representation of a biological channel based on codon basekets, and determined the quantum channel model suitable for study of the quantum biological channel capacity. However, this model is essentially memoryless and it is not able to properly model the propagation of mutation errors in time, the process of aging, and evolution of genetic information through generations. To solve for these problems, we propose novel quantum mechanical models to accurately describe the process of creation spontaneous, induced, and adaptive mutations and their propagation in time. Different biological channel models with memory, proposed in this paper, include: (i) Markovian classical model, (ii) Markovian-like quantum model, and (iii) hybrid quantumclassical model. We then apply these models in a study of aging and evolution of quantum biological channel capacity through generations. We also discuss key differences of these models with respect to a multilevel symmetric channel-based Markovian model and a Kimura model-based Markovian process. These models are quite general and applicable to many open problems in biology, not only biological channel capacity, which is the main focus of the paper. We will show that the famous quantum Master equation approach, commonly used to describe different biological processes, is just the first-order approximation of the proposed quantum Markov chain-like model, when the observation interval tends to zero. One of the important implications of this model is that the aging phenotype becomes determined by different underlying transition probabilities in both programmed and random (damage) Markov chain-like models of aging, which are mutually coupled.

Original languageEnglish (US)
Pages (from-to)1518-1538
Number of pages21
JournalLife
Volume5
Issue number3
DOIs
StatePublished - Aug 24 2015

Fingerprint

Markov Chains
Markov chains
Markov chain
mutations
Markov processes
mutation
Aging of materials
Biological Evolution
Biological Phenomena
Biological Models
Mutation
Molecular Evolution
Photosynthesis
Mechanics
Codon
modeling
Observation
Electrons
Phenotype
channel capacity

Keywords

  • Aging
  • Bioinformatics
  • Biological channels
  • Channel capacity
  • DNA quantum information
  • Evolution
  • Mutations
  • Quantum biology

ASJC Scopus subject areas

  • Biochemistry, Genetics and Molecular Biology(all)
  • Ecology, Evolution, Behavior and Systematics
  • Palaeontology
  • Space and Planetary Science

Cite this

Markov chain-like quantum biological modeling of mutations, aging, and evolution. / Djordjevic, Ivan B.

In: Life, Vol. 5, No. 3, 24.08.2015, p. 1518-1538.

Research output: Contribution to journalArticle

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