Tuesday, July 4, 2023

On The Origin of The Containment Entity - 11

Fig. 1 Benford's Law Applied
To Human Chromsomal DNA

I have a hypothesis that Benford's Law reveals a type of containment entity (On The Origin of The Containment Entity - 10).

Like the ubiquitous yet unseen gravity that shapes planets and galaxies, there are unseen containment entity forces at work having some degree of widespread impact on the universe.

The entire realm of biology is impacted by the concept of containment entities in the sense of "morphology", which is a branch of biology that is not at all as straight forward as many would have it (Disparities in the analysis of morphological disparity).

As an example for argument's sake, notice the graph at Fig. 1 and the data associated with it at Fig. 2 and Fig. 3.

The graph depicts how close to alignment with Benford's Law the locations of codons are within human chromosomal DNA.


Fig. 2

Benford's Law applied to
Dna Strands of Human Chromosomes

(Instances processed: 1,968,416)
First
Digit
1st Digit
Count
1st Digit
Percent
Benford
Percent
Difference
1 632,812 32.15 30.10 2.05
2 296,393 15.06 17.60 2.54
3 225,648 11.46 12.50 1.04
4 189,417 9.62 9.70 0.08
5 162,860 8.27 7.90 0.37
6 146,807 7.46 6.70 0.76
7 118,476 6.02 5.80 0.22
8 104,731 5.32 5.10 0.22
9 91,272 4.64 4.60 0.04

The data from which Fig. 1 and Fig. 2 were generated is listed below in Fig. 3

The "version" portion of the detail is a link to the Genetic data in a government database where the chromosomal DNA can be viewed (use the FASTA option to view the large genome).


Fig. 3
Codon = 'AAA'
version: CM000671.2, DNA source: Homo sapiens chromosome 9
version: CM000665.2, DNA source: Homo sapiens chromosome 3
version: CM000666.2, DNA source: Homo sapiens chromosome 4
version: CM000682.2, DNA source: Homo sapiens chromosome 20
version: CM000678.2, DNA source: Homo sapiens chromosome 16
version: CM000679.2, DNA source: Homo sapiens chromosome 17
version: CM000683.2, DNA source: Homo sapiens chromosome 21
Codon = 'AAC'
version: CM000677.2, DNA source: Homo sapiens chromosome 15
version: CM000676.2, DNA source: Homo sapiens chromosome 14
version: CM000675.2, DNA source: Homo sapiens chromosome 13
version: CM000681.2, DNA source: Homo sapiens chromosome 19
version: CM000683.2, DNA source: Homo sapiens chromosome 21
Codon = 'AAG'
version: CM000667.2, DNA source: Homo sapiens chromosome 5
version: CM000674.2, DNA source: Homo sapiens chromosome 12
version: CM000684.2, DNA source: Homo sapiens chromosome 22
version: CM000676.2, DNA source: Homo sapiens chromosome 14
version: CM000663.2, DNA source: Homo sapiens chromosome 1
version: CM000678.2, DNA source: Homo sapiens chromosome 16
version: CM000668.2, DNA source: Homo sapiens chromosome 6
version: CM000675.2, DNA source: Homo sapiens chromosome 13
version: CM000669.2, DNA source: Homo sapiens chromosome 7
Codon = 'AAT'
version: CM000680.2, DNA source: Homo sapiens chromosome 18
version: CM000666.2, DNA source: Homo sapiens chromosome 4
version: CM000672.2, DNA source: Homo sapiens chromosome 10
version: CM000674.2, DNA source: Homo sapiens chromosome 12
version: CM000682.2, DNA source: Homo sapiens chromosome 20
version: CM000663.2, DNA source: Homo sapiens chromosome 1
version: CM000678.2, DNA source: Homo sapiens chromosome 16
version: CM000668.2, DNA source: Homo sapiens chromosome 6
version: CM000679.2, DNA source: Homo sapiens chromosome 17
version: CM000675.2, DNA source: Homo sapiens chromosome 13
version: CM000681.2, DNA source: Homo sapiens chromosome 19
version: CM000669.2, DNA source: Homo sapiens chromosome 7
Codon = 'ACA'
version: CM000667.2, DNA source: Homo sapiens chromosome 5
version: CM000670.2, DNA source: Homo sapiens chromosome 8
version: CM000663.2, DNA source: Homo sapiens chromosome 1
version: CM000679.2, DNA source: Homo sapiens chromosome 17
Codon = 'ACC'
version: CM000667.2, DNA source: Homo sapiens chromosome 5
version: CM000666.2, DNA source: Homo sapiens chromosome 4
version: CM000676.2, DNA source: Homo sapiens chromosome 14
version: CM000668.2, DNA source: Homo sapiens chromosome 6
version: CM000679.2, DNA source: Homo sapiens chromosome 17
version: CM000681.2, DNA source: Homo sapiens chromosome 19
Codon = 'ACG'
version: CM000666.2, DNA source: Homo sapiens chromosome 4
version: CM000678.2, DNA source: Homo sapiens chromosome 16
version: CM000681.2, DNA source: Homo sapiens chromosome 19
Codon = 'ACT'
version: CM000667.2, DNA source: Homo sapiens chromosome 5
version: CM000672.2, DNA source: Homo sapiens chromosome 10
version: CM000674.2, DNA source: Homo sapiens chromosome 12
version: CM000676.2, DNA source: Homo sapiens chromosome 14
version: CM000679.2, DNA source: Homo sapiens chromosome 17
version: CM000669.2, DNA source: Homo sapiens chromosome 7
Codon = 'AGA'
version: CM000682.2, DNA source: Homo sapiens chromosome 20
version: CM000684.2, DNA source: Homo sapiens chromosome 22
Codon = 'AGC'
version: CM000664.2, DNA source: Homo sapiens chromosome 2
Codon = 'AGG'
version: CM000672.2, DNA source: Homo sapiens chromosome 10
version: CM000682.2, DNA source: Homo sapiens chromosome 20
version: CM000668.2, DNA source: Homo sapiens chromosome 6
Codon = 'AGT'
version: CM000671.2, DNA source: Homo sapiens chromosome 9
version: CM000670.2, DNA source: Homo sapiens chromosome 8
version: CM000673.2, DNA source: Homo sapiens chromosome 11
version: CM000674.2, DNA source: Homo sapiens chromosome 12
version: CM000663.2, DNA source: Homo sapiens chromosome 1
Codon = 'ATA'
version: CM000680.2, DNA source: Homo sapiens chromosome 18
version: CM000671.2, DNA source: Homo sapiens chromosome 9
version: CM000665.2, DNA source: Homo sapiens chromosome 3
version: CM000670.2, DNA source: Homo sapiens chromosome 8
version: CM000672.2, DNA source: Homo sapiens chromosome 10
version: CM000674.2, DNA source: Homo sapiens chromosome 12
version: CM000678.2, DNA source: Homo sapiens chromosome 16
version: CM000669.2, DNA source: Homo sapiens chromosome 7
version: CM000664.2, DNA source: Homo sapiens chromosome 2
version: CM000683.2, DNA source: Homo sapiens chromosome 21
Codon = 'ATC'
version: CM000667.2, DNA source: Homo sapiens chromosome 5
version: CM000673.2, DNA source: Homo sapiens chromosome 11
version: CM000677.2, DNA source: Homo sapiens chromosome 15
version: CM000684.2, DNA source: Homo sapiens chromosome 22
version: CM000676.2, DNA source: Homo sapiens chromosome 14
version: CM000663.2, DNA source: Homo sapiens chromosome 1
version: CM000668.2, DNA source: Homo sapiens chromosome 6
version: CM000675.2, DNA source: Homo sapiens chromosome 13
version: CM000669.2, DNA source: Homo sapiens chromosome 7
version: CM000683.2, DNA source: Homo sapiens chromosome 21
Codon = 'ATG'
version: CM000665.2, DNA source: Homo sapiens chromosome 3
version: CM000670.2, DNA source: Homo sapiens chromosome 8
version: CM000673.2, DNA source: Homo sapiens chromosome 11
version: CM000678.2, DNA source: Homo sapiens chromosome 16
version: CM000668.2, DNA source: Homo sapiens chromosome 6
version: CM000669.2, DNA source: Homo sapiens chromosome 7
version: CM000664.2, DNA source: Homo sapiens chromosome 2
Codon = 'ATT'
version: CM000667.2, DNA source: Homo sapiens chromosome 5
version: CM000665.2, DNA source: Homo sapiens chromosome 3
version: CM000670.2, DNA source: Homo sapiens chromosome 8
version: CM000666.2, DNA source: Homo sapiens chromosome 4
version: CM000682.2, DNA source: Homo sapiens chromosome 20
version: CM000677.2, DNA source: Homo sapiens chromosome 15
version: CM000684.2, DNA source: Homo sapiens chromosome 22
version: CM000663.2, DNA source: Homo sapiens chromosome 1
version: CM000679.2, DNA source: Homo sapiens chromosome 17
version: CM000669.2, DNA source: Homo sapiens chromosome 7
version: CM000664.2, DNA source: Homo sapiens chromosome 2
Codon = 'CAA'
version: CM000671.2, DNA source: Homo sapiens chromosome 9
version: CM000672.2, DNA source: Homo sapiens chromosome 10
version: CM000663.2, DNA source: Homo sapiens chromosome 1
version: CM000678.2, DNA source: Homo sapiens chromosome 16
Codon = 'CAC'
version: CM000673.2, DNA source: Homo sapiens chromosome 11
version: CM000672.2, DNA source: Homo sapiens chromosome 10
version: CM000668.2, DNA source: Homo sapiens chromosome 6
version: CM000664.2, DNA source: Homo sapiens chromosome 2
Codon = 'CAG'
version: CM000670.2, DNA source: Homo sapiens chromosome 8
version: CM000674.2, DNA source: Homo sapiens chromosome 12
version: CM000682.2, DNA source: Homo sapiens chromosome 20
version: CM000677.2, DNA source: Homo sapiens chromosome 15
version: CM000676.2, DNA source: Homo sapiens chromosome 14
version: CM000663.2, DNA source: Homo sapiens chromosome 1
version: CM000668.2, DNA source: Homo sapiens chromosome 6
version: CM000675.2, DNA source: Homo sapiens chromosome 13
version: CM000683.2, DNA source: Homo sapiens chromosome 21
Codon = 'CAT'
version: CM000680.2, DNA source: Homo sapiens chromosome 18
version: CM000673.2, DNA source: Homo sapiens chromosome 11
version: CM000666.2, DNA source: Homo sapiens chromosome 4
Codon = 'CCA'
version: CM000684.2, DNA source: Homo sapiens chromosome 22
version: CM000675.2, DNA source: Homo sapiens chromosome 13
version: CM000681.2, DNA source: Homo sapiens chromosome 19
Codon = 'CCC'
version: CM000666.2, DNA source: Homo sapiens chromosome 4
Codon = 'CCT'
version: CM000676.2, DNA source: Homo sapiens chromosome 14
Codon = 'CTA'
version: CM000665.2, DNA source: Homo sapiens chromosome 3
version: CM000677.2, DNA source: Homo sapiens chromosome 15
version: CM000676.2, DNA source: Homo sapiens chromosome 14
version: CM000668.2, DNA source: Homo sapiens chromosome 6
version: CM000675.2, DNA source: Homo sapiens chromosome 13
Codon = 'CTC'
version: CM000667.2, DNA source: Homo sapiens chromosome 5
version: CM000680.2, DNA source: Homo sapiens chromosome 18
version: CM000671.2, DNA source: Homo sapiens chromosome 9
Codon = 'CTG'
version: CM000667.2, DNA source: Homo sapiens chromosome 5
version: CM000674.2, DNA source: Homo sapiens chromosome 12
Codon = 'CTT'
version: CM000665.2, DNA source: Homo sapiens chromosome 3
version: CM000670.2, DNA source: Homo sapiens chromosome 8
version: CM000674.2, DNA source: Homo sapiens chromosome 12
version: CM000684.2, DNA source: Homo sapiens chromosome 22
version: CM000683.2, DNA source: Homo sapiens chromosome 21
Codon = 'GAA'
version: CM000667.2, DNA source: Homo sapiens chromosome 5
version: CM000670.2, DNA source: Homo sapiens chromosome 8
version: CM000672.2, DNA source: Homo sapiens chromosome 10
version: CM000674.2, DNA source: Homo sapiens chromosome 12
version: CM000677.2, DNA source: Homo sapiens chromosome 15
version: CM000676.2, DNA source: Homo sapiens chromosome 14
Codon = 'GAC'
version: CM000665.2, DNA source: Homo sapiens chromosome 3
version: CM000677.2, DNA source: Homo sapiens chromosome 15
version: CM000668.2, DNA source: Homo sapiens chromosome 6
Codon = 'GAG'
version: CM000670.2, DNA source: Homo sapiens chromosome 8
version: CM000674.2, DNA source: Homo sapiens chromosome 12
version: CM000675.2, DNA source: Homo sapiens chromosome 13
version: CM000669.2, DNA source: Homo sapiens chromosome 7
Codon = 'GAT'
version: CM000667.2, DNA source: Homo sapiens chromosome 5
version: CM000680.2, DNA source: Homo sapiens chromosome 18
version: CM000672.2, DNA source: Homo sapiens chromosome 10
version: CM000682.2, DNA source: Homo sapiens chromosome 20
version: CM000663.2, DNA source: Homo sapiens chromosome 1
version: CM000669.2, DNA source: Homo sapiens chromosome 7
Codon = 'GCA'
version: CM000680.2, DNA source: Homo sapiens chromosome 18
version: CM000664.2, DNA source: Homo sapiens chromosome 2
Codon = 'GCC'
version: CM000667.2, DNA source: Homo sapiens chromosome 5
version: CM000682.2, DNA source: Homo sapiens chromosome 20
version: CM000663.2, DNA source: Homo sapiens chromosome 1
Codon = 'GCG'
Codon = 'GCT'
version: CM000664.2, DNA source: Homo sapiens chromosome 2
Codon = 'GGA'
version: CM000665.2, DNA source: Homo sapiens chromosome 3
version: CM000673.2, DNA source: Homo sapiens chromosome 11
version: CM000663.2, DNA source: Homo sapiens chromosome 1
version: CM000678.2, DNA source: Homo sapiens chromosome 16
version: CM000668.2, DNA source: Homo sapiens chromosome 6
version: CM000679.2, DNA source: Homo sapiens chromosome 17
Codon = 'GGC'
version: CM000666.2, DNA source: Homo sapiens chromosome 4
version: CM000675.2, DNA source: Homo sapiens chromosome 13
Codon = 'GGG'
version: CM000669.2, DNA source: Homo sapiens chromosome 7
Codon = 'GGT'
version: CM000673.2, DNA source: Homo sapiens chromosome 11
Codon = 'GTA'
version: CM000670.2, DNA source: Homo sapiens chromosome 8
version: CM000666.2, DNA source: Homo sapiens chromosome 4
version: CM000672.2, DNA source: Homo sapiens chromosome 10
version: CM000676.2, DNA source: Homo sapiens chromosome 14
version: CM000681.2, DNA source: Homo sapiens chromosome 19
Codon = 'GTG'
version: CM000674.2, DNA source: Homo sapiens chromosome 12
version: CM000682.2, DNA source: Homo sapiens chromosome 20
version: CM000684.2, DNA source: Homo sapiens chromosome 22
version: CM000681.2, DNA source: Homo sapiens chromosome 19
version: CM000683.2, DNA source: Homo sapiens chromosome 21
Codon = 'GTT'
version: CM000665.2, DNA source: Homo sapiens chromosome 3
version: CM000682.2, DNA source: Homo sapiens chromosome 20
Codon = 'TAA'
version: CM000673.2, DNA source: Homo sapiens chromosome 11
version: CM000666.2, DNA source: Homo sapiens chromosome 4
version: CM000677.2, DNA source: Homo sapiens chromosome 15
version: CM000676.2, DNA source: Homo sapiens chromosome 14
version: CM000663.2, DNA source: Homo sapiens chromosome 1
version: CM000679.2, DNA source: Homo sapiens chromosome 17
version: CM000675.2, DNA source: Homo sapiens chromosome 13
Codon = 'TAC'
version: CM000671.2, DNA source: Homo sapiens chromosome 9
version: CM000674.2, DNA source: Homo sapiens chromosome 12
version: CM000663.2, DNA source: Homo sapiens chromosome 1
version: CM000679.2, DNA source: Homo sapiens chromosome 17
version: CM000681.2, DNA source: Homo sapiens chromosome 19
Codon = 'TAG'
version: CM000673.2, DNA source: Homo sapiens chromosome 11
version: CM000668.2, DNA source: Homo sapiens chromosome 6
version: CM000681.2, DNA source: Homo sapiens chromosome 19
Codon = 'TAT'
version: CM000667.2, DNA source: Homo sapiens chromosome 5
version: CM000680.2, DNA source: Homo sapiens chromosome 18
version: CM000673.2, DNA source: Homo sapiens chromosome 11
version: CM000666.2, DNA source: Homo sapiens chromosome 4
version: CM000674.2, DNA source: Homo sapiens chromosome 12
version: CM000676.2, DNA source: Homo sapiens chromosome 14
version: CM000678.2, DNA source: Homo sapiens chromosome 16
version: CM000668.2, DNA source: Homo sapiens chromosome 6
version: CM000681.2, DNA source: Homo sapiens chromosome 19
version: CM000669.2, DNA source: Homo sapiens chromosome 7
Codon = 'TCA'
version: CM000667.2, DNA source: Homo sapiens chromosome 5
version: CM000670.2, DNA source: Homo sapiens chromosome 8
version: CM000666.2, DNA source: Homo sapiens chromosome 4
version: CM000682.2, DNA source: Homo sapiens chromosome 20
version: CM000684.2, DNA source: Homo sapiens chromosome 22
version: CM000676.2, DNA source: Homo sapiens chromosome 14
version: CM000675.2, DNA source: Homo sapiens chromosome 13
version: CM000664.2, DNA source: Homo sapiens chromosome 2
version: CM000683.2, DNA source: Homo sapiens chromosome 21
Codon = 'TCC'
version: CM000679.2, DNA source: Homo sapiens chromosome 17
Codon = 'TCT'
version: CM000680.2, DNA source: Homo sapiens chromosome 18
version: CM000665.2, DNA source: Homo sapiens chromosome 3
version: CM000672.2, DNA source: Homo sapiens chromosome 10
version: CM000674.2, DNA source: Homo sapiens chromosome 12
version: CM000668.2, DNA source: Homo sapiens chromosome 6
version: CM000669.2, DNA source: Homo sapiens chromosome 7
version: CM000664.2, DNA source: Homo sapiens chromosome 2
Codon = 'TGA'
version: CM000680.2, DNA source: Homo sapiens chromosome 18
version: CM000671.2, DNA source: Homo sapiens chromosome 9
version: CM000670.2, DNA source: Homo sapiens chromosome 8
version: CM000673.2, DNA source: Homo sapiens chromosome 11
version: CM000677.2, DNA source: Homo sapiens chromosome 15
version: CM000669.2, DNA source: Homo sapiens chromosome 7
version: CM000683.2, DNA source: Homo sapiens chromosome 21
Codon = 'TGC'
version: CM000684.2, DNA source: Homo sapiens chromosome 22
version: CM000664.2, DNA source: Homo sapiens chromosome 2
Codon = 'TGG'
version: CM000681.2, DNA source: Homo sapiens chromosome 19
Codon = 'TGT'
version: CM000671.2, DNA source: Homo sapiens chromosome 9
version: CM000682.2, DNA source: Homo sapiens chromosome 20
version: CM000664.2, DNA source: Homo sapiens chromosome 2
Codon = 'TTA'
version: CM000680.2, DNA source: Homo sapiens chromosome 18
version: CM000671.2, DNA source: Homo sapiens chromosome 9
version: CM000665.2, DNA source: Homo sapiens chromosome 3
version: CM000673.2, DNA source: Homo sapiens chromosome 11
version: CM000666.2, DNA source: Homo sapiens chromosome 4
version: CM000672.2, DNA source: Homo sapiens chromosome 10
version: CM000663.2, DNA source: Homo sapiens chromosome 1
version: CM000679.2, DNA source: Homo sapiens chromosome 17
version: CM000664.2, DNA source: Homo sapiens chromosome 2
Codon = 'TTC'
version: CM000673.2, DNA source: Homo sapiens chromosome 11
version: CM000679.2, DNA source: Homo sapiens chromosome 17
version: CM000681.2, DNA source: Homo sapiens chromosome 19
Codon = 'TTG'
version: CM000671.2, DNA source: Homo sapiens chromosome 9
version: CM000665.2, DNA source: Homo sapiens chromosome 3
version: CM000673.2, DNA source: Homo sapiens chromosome 11
version: CM000674.2, DNA source: Homo sapiens chromosome 12
version: CM000684.2, DNA source: Homo sapiens chromosome 22
version: CM000663.2, DNA source: Homo sapiens chromosome 1
version: CM000664.2, DNA source: Homo sapiens chromosome 2
Codon = 'TTT'
version: CM000680.2, DNA source: Homo sapiens chromosome 18
version: CM000671.2, DNA source: Homo sapiens chromosome 9
version: CM000670.2, DNA source: Homo sapiens chromosome 8
version: CM000666.2, DNA source: Homo sapiens chromosome 4
version: CM000672.2, DNA source: Homo sapiens chromosome 10
version: CM000682.2, DNA source: Homo sapiens chromosome 20
version: CM000678.2, DNA source: Homo sapiens chromosome 16
version: CM000668.2, DNA source: Homo sapiens chromosome 6
version: CM000683.2, DNA source: Homo sapiens chromosome 21

You may recall that there hasn’t yet been a complete answer to the question of why Benford's Law "works":

"The law is hard to prove mathematically, as it’s more akin to a theory that works (sort of like the multiplication rule). Many attempts have been made to explain the phenomenon, ranging from Benford’s initial thoughts about the logarithmic nature of data to Hill’s probability framework which used mixtures from different probability distributions to partially explain it. At the time of writing, there hasn’t yet been a complete answer to the question of why it works. But work it does — kind of. Diaconis and Freedman (1979) suggest Benford was rather liberal with how he rounded off numbers, to make the data better fit the equation."

(Statistics, emphasis in original). Why human chromosomal DNA codon locations would follow the Benford's Law pattern is just another thing to ponder when hypothetically discussing containment entities.

Have fun.

The next post in this series is here, the previous post in this series is here.



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