Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Graph Coverings for Investigating Non Local Structures in Proteins, Music and Poems

Version 1 : Received: 23 August 2021 / Approved: 23 August 2021 / Online: 23 August 2021 (12:31:35 CEST)

How to cite: Planat, M.; Aschheim, R.; Amaral, M.M.; Fang, F.; Irwin, K. Graph Coverings for Investigating Non Local Structures in Proteins, Music and Poems. Preprints 2021, 2021080437 (doi: 10.20944/preprints202108.0437.v1). Planat, M.; Aschheim, R.; Amaral, M.M.; Fang, F.; Irwin, K. Graph Coverings for Investigating Non Local Structures in Proteins, Music and Poems. Preprints 2021, 2021080437 (doi: 10.20944/preprints202108.0437.v1).

Abstract

It is shown how the secondary structure of proteins, musical forms and verses of poems are approximately ruled by universal laws relying on graph coverings. In this direction, one explores the group structure of a variant of the SARS-Cov-2 spike protein and the group structure of apolipoprotein-H, passing from the primary code with amino acids to the secondary structures organizing the foldings. Then one look at the musical forms employed in the classical and contemporary periods. Finally, one investigates in much detail the group structure of a small poem in prose by Charles Baudelaire and that of the Bateau Ivre by Arthur Rimbaud.

Keywords

mathematical poetry; musical forms; protein foldings; graph coverings

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