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 $E_8\times E_8$ 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 super manifold 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.

The Chern–Simons current in time series of knots and links in proteins / Capozziello, Salvatore; Pincak, Richard. - In: ANNALS OF PHYSICS. - ISSN 0003-4916. - 393:(2018), pp. 413-446. [10.1016/j.aop.2018.04.002]

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

Capozziello, Salvatore
;
2018

Abstract

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 $E_8\times E_8$ 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 super manifold 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.
2018
The Chern–Simons current in time series of knots and links in proteins / Capozziello, Salvatore; Pincak, Richard. - In: ANNALS OF PHYSICS. - ISSN 0003-4916. - 393:(2018), pp. 413-446. [10.1016/j.aop.2018.04.002]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/717748
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