Back

Algebraic principle of natural bases from the standard genetic code degeneracy

Yu, Y.

2023-04-14 genetics
10.1101/2023.04.10.536215 bioRxiv
Show abstract

The symmetry and group in degeneracy of the standard genetic code (SGC) have been studied. However, the core role of equations of degree n with one unknown between symmetry and group theory has been ignored. In this study, algebraic concept was employed to abstract all genetic codons in the SGC table into equations of degree n with one unknown, and the bases in the third position of nucleotide triplets are these equations solutions. Basing upon the analysis of natural bases permutation groups and natural bases as the unit roots, some results were found that the characteristics of solvable groups imply the amount of natural bases, the relation between the first two bases in nucleotide triplets is the algebraic multiplication binary operation, and natural bases have the significance of complex number. These results gave natural bases the significance of number in the complex plane, and clarified the amount and operation in the mathematical sense, which would contribute to understand the origin and evolution of genetic code.

Matching journals

The top 10 journals account for 50% of the predicted probability mass.

1
PLOS ONE
● 5266 papers in training set
Top 15%
12.3%
2
Frontiers in Genetics
○ 230 papers in training set
Top 0.2%
7.5%
3
Heliyon
○ 152 papers in training set
Top 0.2%
7.0%
4
Biosystems
○ 31 papers in training set
Top 0.1%
4.5%
5
PeerJ
◐ 308 papers in training set
Top 1%
4.2%
6
Scientific Reports
○ 3612 papers in training set
Top 29%
3.5%
7
Journal of Biosciences
○ 15 papers in training set
Top 0.1%
3.3%
8
Chaos, Solitons & Fractals
○ 32 papers in training set
Top 0.3%
2.9%
9
Frontiers in Plant Science
○ 256 papers in training set
Top 2%
2.7%
10
Royal Society Open Science
● 214 papers in training set
Top 2%
2.5%
50% of probability mass above
11
Biology
○ 45 papers in training set
Top 0.1%
2.5%
12
Physical Review Research
● 49 papers in training set
Top 0.4%
2.2%
13
Quantitative Biology
○ 12 papers in training set
Top 0.1%
2.2%
14
PLOS Computational Biology
● 1863 papers in training set
Top 13%
2.0%
15
BioMed Research International
○ 28 papers in training set
Top 0.9%
1.8%
16
Briefings in Bioinformatics
◐ 354 papers in training set
Top 5%
1.5%
17
Frontiers in Public Health
○ 148 papers in training set
Top 4%
1.5%
18
Applied Sciences
○ 25 papers in training set
Top 0.4%
1.5%
19
Bioinformatics
◐ 1204 papers in training set
Top 7%
1.4%
20
Frontiers in Computational Neuroscience
○ 60 papers in training set
Top 0.9%
1.2%
21
Frontiers in Applied Mathematics and Statistics
○ 11 papers in training set
Top 0.3%
1.2%
22
Cells
○ 249 papers in training set
Top 5%
1.1%
23
SoftwareX
○ 15 papers in training set
Top 0.2%
1.0%
24
Frontiers in Microbiology
○ 427 papers in training set
Top 8%
1.0%
25
Antibiotics
○ 34 papers in training set
Top 0.9%
0.9%
26
Medicine
○ 31 papers in training set
Top 2%
0.6%
27
BMC Bioinformatics
○ 457 papers in training set
Top 6%
0.6%
28
Bulletin of Mathematical Biology
○ 92 papers in training set
Top 1%
0.6%
29
Cell Reports Physical Science
○ 19 papers in training set
Top 0.3%
0.5%
30
Genes to Cells
○ 25 papers in training set
Top 0.7%
0.5%