The Chern‐Simons Current in Systems of DNA‐RNA Transcriptions

Capozziello, Salvatore; Pinčák, Richard; Kanjamapornkul, Kabin; Saridakis, Emmanuel N.

doi:10.1002/andp.201700271

Cited by 18 publications

(25 citation statements)

References 57 publications

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“…The derivation of the Chern-Simons current can be done by a simple algorithm [30], i.e., the Chern-Simons current maps the string of genetic code into numerical values by explicit formulas. It can be used to plot the time series data directly into the superspace of gene expression.…”

Section: Spinor Fields In Biological Systemsmentioning

confidence: 99%

Application of Spin-Orbit Coupling in Exotic Graphene Structures and Biology

Pinčák¹,

Bartoš²

2020

Solid State Physics [Working Title]

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An important measurable quantity in the carbon nanostructures, including the nanotubular part of the graphitic wormhole, is the spin-orbit coupling. We will present in this chapter spin-orbit coupling for the fermions located in exotic graphene structures as is graphene wormhole and also in biological systems. Considering this influence, the two-component Dirac equation is changed into the usual four-component form. As a consequence, the chiral fermions should be detected close to the wormhole bridge. We will show that the smaller is the radius of the wormhole bridge, the stronger this effect should be. Finally, we will describe the role of spinor fields in the time series of genetic code. The reversed transcription process of the gene expression could be defined by a moduli state space model of a coupling spinor field between the gene of a viral particle and the host cell. As a general result, all states of codon can be computed by the Chern-Simons 3-forms.

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Section: Spinor Fields In Biological Systemsmentioning

confidence: 99%

Application of Spin-Orbit Coupling in Exotic Graphene Structures and Biology

Pinčák¹,

Bartoš²

2020

Solid State Physics [Working Title]

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“…Let the projection π : P Xt → X t be the canonical projection with p ∈ π −1 (x 0 ), P Xt , a principal bundle. Let A µ be a connection with underlying equivalent class of gauge field in genetic code [A µ ] (see [20] for definition of genetic code as connection in detail) on covering space P Xt , then the parallel transport along co-cycle β Aµ maps the fiber bundle π −1 (x 0 ) → π −1 (x 0 ). Because group action G is a trivialization on principal fiber bundle, so there exists g Aµ ∈ G such that co-cycle of particle-like wave function of quantum biological observable over gauge field (connection or gauge potential of genetic code [A µ ]) is the holonomy of connection A µ , µ = 1, 2, 3 represented, for folding type of fibers, in beta sheet, alpha helix and loop region of secondary structure of protein folding according to the Axioms of Atiyah for biology.…”

Section: Grothendieck Topology For Biologymentioning

confidence: 99%

“…This expression is the so called normalized Witten invariant W G,κ (X) of 2 frames in which the state of geneon is defined by the Jones polynomial with the knotted property of the skein relation in fusion rule, closed, oriented 3manifold X with link κ where W G,κ (X) = [35]. In a previous work [20], we used this representation for 64 states in codon explicitly as partition function of 20 amino-acids over the genetic code in 4 dimensional manifold of living cell.…”

Section: Seiberg-witten Invariant For Knots and Links In Proteinsmentioning

confidence: 99%

The Chern–Simons current in time series of knots and links in proteins

Capozziello

Pinčák

2018

Annals of Physics

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A superspace model of knots and links for DNA time series data is proposed to take into account the feedback loop from docking to undocking state of protein-protein interactions. In particular, the direction of interactions between the 8 hidden states of DNA is considered. It is a E8×E8 unified spin model where the genotype, from active and inactive side of DNA time data series, can be considered for any living organism. The mathematical model is borrowed from loop-quantum gravity and adapted to biology. It is used to derive equations for gene expression describing transitions from ground to excited states, and for the 8 coupling states between geneon and anti-geneon transposon and retrotransposon in trash DNA. Specifically, we adopt a modified Grothendieck cohomology and a modified Khovanov cohomology for biology. The result is a Chern-Simons current in (8 + 3) extradimensions of a given unoriented supermanifold with ghost fields of protein structures. The 8 dimensions come from the 8 hidden states of spinor field of genetic code. The extradimensions come from the 3 types of principle fiber bundle in the secondary protein.

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“…In the present time, physicists [1,2] are interested in applying a gravitational current field-so-called Chern-Simons current [3,4] -to understand the adaptive behavior of immuno systems with docking state between the host cell, CD4 protein, and the viral HIV V3 loop in gp120 protein. The scientists from various fields are trying to find an equation for encoding HIV viral…”

Section: Introductionmentioning

confidence: 99%

Forecasting Laurent Polynomial in the Chern–Simons Current of V3 Loop Time Series

2019

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The genetic variation in the V3 loop obstruction component of gp120 HIV glycoprotein is defined as a solitary standing wave function with the transition state between the interaction of wave function in the DNA and RNA hidden states. It is a parasitism co-state generated from the coupling between two pairs of hidden 8 states of Laurent polynomial in the Chern-Simons current of HIV genotypes. A modified Nahm equation for a biology with Lax pairs is defined as the pairs of viral glycoprotein states with the transition between DNA and RNA in the reverse transcription process. The direction in the spinor field with genetic variation in 30 samples of the V3 loop time series with hidden 8 states of Laurent polynomial over the Chern-Simons current is predicted using a support spinor machine and convolutional neural network based on the imaging technique generated from tensor correlation network.We assume that the transcription process from the DNA to RNA and to a protein is a chain with the exact sequence in cohomology theory for biology. We cannot separate the DNA from RNA and the protein. It also happens in the transition state, which means that every state of an amino acid is a mixed state. One amino acid is linked with the other amino acids with an affine Poincare group with modulo SO(3, 1). [40] The derivation of a distribution in gene expression shows us the coupling transition protein states as an interaction of

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The Chern‐Simons Current in Systems of DNA‐RNA Transcriptions

Cited by 18 publications

References 57 publications

Application of Spin-Orbit Coupling in Exotic Graphene Structures and Biology

Application of Spin-Orbit Coupling in Exotic Graphene Structures and Biology

The Chern–Simons current in time series of knots and links in proteins

Forecasting Laurent Polynomial in the Chern–Simons Current of V3 Loop Time Series

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