Cell Language Theory, The: Connecting Mind And Matter

Matrix Mathematics of Genetics 251

“6x9” b2861 The Cell Language Theory: Connecting Mind and Matter

free energy supply is exhausted. Examples of the former include chairs,

tables, rocks, and DNA sequences in test tubes, and those of the latter

include the flame of a candle, action potentials, and time-varying RNA

levels inside the living cell.

Petoukhov analysis of genetic codes utilizes matrix algebra and

hence he refers to the matrix-mathematics-based analysis of the genetic

code as “genomatrix”. Since genotype (mostly equilibrons) and pheno-

type (mostly dissipatons) are well-established divisions of genetics, it

would be logical to coin the word that can serve as the counterpart of

“genomatrix”, and I here suggest the word, “phenomatrix”, i.e., the use

of matrix mathematics to analyze phenotypes of organisms such as oscil-

lations and dynamic interactions based on resonances. Thus, the follow-

ing equation suggests itself:

Genosemiotics = genomatrix + phenomatrix (5.12)

where the neologism “genosemiotics” indicates the study of genes

viewed as molecular signs (Chapter 6). One way to paraphrase Eq. (5.12)

would be:

The complete understanding of the semiotics of genes requires study-

ing the physics of genes and their phenotypes using mathematics of

matrices. (5.13)

It is heartening to find that Statements (5.12) and (5.13) are largely

synonymous, although they were derived from quite different perspec-

tives — mathematics vs. semiotics.

There are three main molecular species appearing in Table 5.2,

namely four DNA bases, 64 nucleotide triplets, and 20 amino acids. It

may well be that these three kinds of molecules are related to one another

through the irreducible triadic relation (ITR) of Peirce (Chapter 9) as

shown in Figure 5.1(a). Step h in (a) is associated with the flow of “infor-

mation” from nucleobases to amino acids without any material transfer.

Since we can assume that information flow in any system presupposes the

presence of a language, Figure 5.1(a) would indicate that there is a

language underlying the molecular semiosis. Such a language may be

referred to as “molecular language” or “moleculese” for convenience.

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