First Look: FIBONACCI-Numbers and LUCAS-Numbers and Andes Virus (Hanta Virus): A Reasonable Fit

First Look: FIBONACCI-Numbers and LUCAS-Numbers and Andes Virus (Hanta Virus): A Reasonable Fit

by Stefan Geier

Starting Structure of the Andes virus (ANDV) Nucleoprotein (N) N-terminal domain (residues 1–74)

Helix 1	1–35	Forms the initial hydrophobic interface for trimerization. 34 is a FIBONACCI-number F(9)
Linker	36–43	Flexible loop connecting the two main helices. 8 is a FIBONACCI-number F(6)
Helix 2	44–74	Provides the second "arm" of the coiled-coil to stabilize the trimer. 21 is a FIBONACCI-number F(8)

The Heptad Repeats fit L(4)=7.

The first Fibonacci-numbers and Lucas-numbers:
Fibonacci F(n): 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, ...
Lucas L(n): 2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, ...

The above provides a at least reasonable association of the Andes virus (ANDV) Nucleoprotein (N) N-terminal domain with the GEIER programme based on GEIER's Equations and FIBOBACCI-Numbers and LUCAS-Numbers.
Improvement is possible. +/- 1 or 2 residues should considered,

Yours sincerly,

Stefan Geier

Gerhart-Hauptmann-Str.6

83071 Haidholzen, Germany

(Of course, somehow "very crazy". See: Roger PENROSE, too)

Picture from: Vaheri, A., Strandin, T., Hepojoki, J. et al. Uncovering the mysteries of hantavirus infections. Nat Rev Microbiol 11, 539–550 (2013). https://doi.org/10.1038/nrmicro3066, Published 16 July 2013, Issue date, August 2013, DOI https://doi.org/10.1038/nrmicro3066 (courtesy assumed)

Reference: https://www.uniprot.org/uniprotkb/O36307/entry:
My Summary:
The sequence for the Andes virus (ANDV) Nucleoprotein (N) N-terminal domain (residues 1–74) is highly conserved and follows a distinct mathematical-like pattern known as a heptad repeat.

Amino Acid Sequence (1–74)

The primary sequence for the ANDV N-terminal trimerization domain is:

MSDLKEVQEAI GHLDHEIELV GRKAELEEKV KRVEEAYREI KQKLEDLKKQ LKDYIQAQRE VEEKTREKLS DLRS

Structural & Mathematical Patterns

While 76 is a Lucas number, the biological domain spans 74 residues, forming two antiparallel \(\alpha \)-helices (\(\alpha 1\) and \(\alpha 2\)) that intertwine.

• The Heptad Repeat: Every 1st ("a") and 4th ("d") residue in a 7-residue set (abcdefg) is usually hydrophobic, creating a "zipper" that holds the trimer together.
• Key "a" Residues: Conserved positions like L4, I11, I18, V25, and V32 serve as the hydrophobic core for the first helix.
• Surface Charge: Unlike some viruses that use neutral surfaces, ANDV has "hotspots" of charge. Residues Arg22 and Lys26 form a positively charged patch that is critical for recognizing host cell machinery during assembly at the Golgi apparatus.

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Sequence Breakdown by Segment

Segment	Residue Range	Primary Function
Helix 1	1–35	Forms the initial hydrophobic interface for trimerization.
Linker	36–43	Flexible loop connecting the two main helices.
Helix 2	44–74	Provides the second "arm" of the coiled-coil to stabilize the trimer.
Post-74	75+	Leads into the "NPcore" which contains the RNA-binding crevice.