THE NUMERIC CONNECTIONS OF THE GENETIC CODE

Jean-Yves BOULAY

 

Rank of the amino acid in according to its protons number

 

 

 

 

1.     Study of protons numbers

 

According to their protons number, the 20 amino acids can be classified in 14 ranks. These 14 ranks are regrouped in two sets

 

- Set 1 with ranks of protons number from 1 to 7.

- Set 2 with ranks of protons number from 8 to 14.

 

Set 1:

ranks of protons number from 1 to 7

Set 2:

ranks of protons number from 8 to 14

Protons number

Amino acid

Rank of the amino acid in according to the protons number

Protons number

Amino acid

Rank of the amino acid in according to the protons number

40

GLY

1

78

GLU GLN

8

48

ALA

2

80

MET LYS

9

56

SER

3

82

HIS

10

63

PRO

4

88

PHE

11

64

CYS VAL THR

5

94

ARG

12

70

ASN ASP

6

96

TYR

13

72

ILE LEU

7

108

TRP

14

counting of protons number (without the rebel group)*

413

= 59 x 7

518

= 74 x 7

Fig. 1 Classification of the 20 amino acids in according to the protons number. *Just the value 108 of the rebel group is discounted in counting, rebel group values 72 and 80 are preserved because they represent also for amino acids not included in the rebel group.

 

 

In according to their protons number, the number of ranks of the 20 amino acids is equal to 14 so two times the prime number 7. Except the rebel group, the total of the protons numbers of the 14 ranks is equal to 931 so equal to 133 times 7 (so also equal to 19 x 7 x 7). Respective sub totals of the set 1 and set 2 are also multiple of the prime number 7: 59 times 7 for the set 1 and 74 times 7 for the set 2.

 

Except the rebel group, the total of the protons numbers of all the coded are also multiple of the prime number 7: 4004 protons = 572 times 7.Also, sub totals of the two respective sets are multiple of the prime number 7: 348 times 7 for the set 1 and 224 times 7 for the set 2.

 

 

Situations counting

Set 1

Set 2

The two sets

For each of the 20 amino acid

413

= 59 x 7

518

= 74 x 7

931

= 133 x 7 or

19 x 7 x 7

For all the 64 coded

2436

= 348 x 7

1568

= 224 x 7

4004

= 572 x 7

Fig. 2 Counting of the protons numbers (without the rebel group)

 

 

 

Account of the protons numbers in the genetic code table (without the rebel group)

Set 1 (ranks 1 to 7): 2436 = 348 x 7

Set 2 (ranks 8 to 14): 1568 = 224 x 7

 

 

 

In the distribution of the protons numbers in the genetic code table appear symmetric phenomena of prime number 7 multiples for each set.

 

 

symmetric phenomena of prime number 7 multiples

Total protons number

protons number in the set 1 (ranks 1 to 7)

protons number in the set 2 (ranks 8 to 14)

572 x 7

348 x 7

224 x 7

In identical sub configurations:

272 x 7

200 x 7

72 x 7

300 x 7

148 x 7

152 x 7

264 x 7

164 x 7

100 x 7

308 x 7

184 x 7

124 x 7

 

 

 

 

In the fist set (ranks 1 to 7) appear numerous other symmetric phenomena of prime number 7 multiples:

 

164 x 7

200 x 7

172 x 7

184 x 7

148 x 7

176 x 7

 

Symmetric sub configurations of concentration of prime number 7 multiples:

 

8 boxes

4 boxes

2 boxes

1 box

184 x 7

96 x 7

0 x 7

32 x 7

164 x 7

68 x 7

68 x 7

36 x 7

164 x 7

80 x 7

64 x 7

20 x 7

184 x 7

104 x 7

40 x 7

20 x 7

 

Other possible symmetric configurations of concentration of prime number 7 multiples:

 

8 boxes

4 boxes

2 boxes

1 box

176 x 7

40 x 7

64 x 7

32 x 7

172 x 7

132 x 7

68 x 7

36 x 7

 

Or (for example):

 

8 boxes

4 boxes

2 boxes

1 box

176 x 7

68 x 7

64 x 7

20 x 7

172 x 7

104 x 7

40 x 7

20 x 7

 

 

 

 

 

2. Study of the values of the ranks in according to the protons number

 

 

In the distribution of the ranks previously described appear also in the genetic code table symmetric phenomena of prime number multiples. Here the phenomena are by multiples of the prime number 11.

 

Distribution of the ranks* in the genetic code table

Total number of the ranks: 396 = 36 x 11

 

*For example, codon AAA codes for LYS : proton number equal to 80, 80 is in the rank 9th.

 

 

Symmetric chequered configuration multiple of the prime number 11:

 

18 x 11

18 x 11

 

The two sub totals of this previous configuration are identical.

 

Other symmetric configurations multiple of the prime number 11:

 

16 x 11

16 x 11

20 x 11

20 x 11

 

The same values appear in the two configurations.

 

 

 

 

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THE NUMERIC CONNECTIONS OF THE GENETIC CODE Jean-Yves BOULAY 2001- 2010