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LNCS 2950 - Aspects of Molecular Computing (Frontmatter Pages)

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The Duality <strong>of</strong> Patterning in <strong>Molecular</strong> Genetics<br />

Solomon Marcus<br />

Romanian Academy, Mathematics<br />

Calea Victoriei 125<br />

Bucuresti, Romania<br />

solomon.marcus@imar.ro<br />

The first time I met Pr<strong>of</strong>essor Tom Head, just in the year 1971, was when<br />

I became interested in the triangle linguistics-molecular genetics-mathematics.<br />

Tom Head is a pioneer in the theory <strong>of</strong> splicing, which became an important<br />

component <strong>of</strong> the new domain <strong>of</strong> DNA computing ([5,14,7]). It is nice for me to<br />

remember that in December 1971 I had the chance to be invited by Pr<strong>of</strong>essor<br />

Head at the University <strong>of</strong> Alaska, where I gave a series <strong>of</strong> lectures. A few months<br />

earlier, in July-August 1971, I organized within the framework <strong>of</strong> the Linguistic<br />

Institute <strong>of</strong> America (at State University <strong>of</strong> New York at Buffalo, under the<br />

direction <strong>of</strong> Pr<strong>of</strong>essor David Hays) a research seminar on the above mentioned<br />

triangle. My starting point for the seminar was a book by Pr<strong>of</strong>essor Z. Pawlak,<br />

a famous Polish computer scientist, and the writings <strong>of</strong> Roman Jakobson on the<br />

link between linguistics and molecular genetics. One <strong>of</strong> the participants at this<br />

Seminar was Bernard Vauquois, one <strong>of</strong> the initiators <strong>of</strong> ALGOL 60. As a result <strong>of</strong><br />

this seminar, I published the article [10] and much later [11], where the interplay<br />

nucleotide bases-codons-amino acids-proteins is analyzed in the perspective <strong>of</strong><br />

structural linguistics and <strong>of</strong> formal language theory.<br />

In a retrospect, the notion <strong>of</strong> splicing was in the immediate neighbourhood<br />

<strong>of</strong> the ideas investigated there, but we were not able to invent it and to give it an<br />

explicit status. It was the privilege <strong>of</strong> Tom Head [5,6] to identify it and to show its<br />

generative capacity. In a further steps, [14,7,16,4] developed a comprehensive theory<br />

<strong>of</strong> DNA computing, based on the splicing operation. However, concomitantly<br />

there was another line <strong>of</strong> development where splicing was not involved, although<br />

potentially it is implied and its relevance can be shown: the Human Genome<br />

Project (HGP). It started around 1990 and was directed towards sequencing the<br />

DNA, identifying the genes and establishing the gene-protein function correlation.<br />

This line <strong>of</strong> research brings to the center <strong>of</strong> attention the analytic aspects<br />

related to DNA, genes and codons. Obviously, in the context <strong>of</strong> Watson-Crick<br />

double strand organization, splicing, as a purely combinatorial-sequential operation<br />

related to DNA, finds its natural place and should be involved in the<br />

gene-protein interaction. But the aim <strong>of</strong> this note is more modest and <strong>of</strong> a very<br />

preliminary nature in respect to the problem we just mentioned. We have in<br />

view the so-called duality <strong>of</strong> patterning principle and its possible relevance for<br />

molecular genetics. This aspect is not without relation with the gene-protein<br />

interaction, because the duality is in strong relation with the arbitrariness <strong>of</strong> the<br />

genetic sign, a genetic equivalent <strong>of</strong> the problem <strong>of</strong> arbitrariness <strong>of</strong> the linguistic<br />

sign, discussed by Ferdinand de Saussure.<br />

N. Jonoska et al. (Eds.): <strong>Molecular</strong> <strong>Computing</strong> (Head Festschrift), <strong>LNCS</strong> <strong>2950</strong>, pp. 318–321, 2004.<br />

c○ Springer-Verlag Berlin Heidelberg 2004

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