Naslov
Nonlinear dynamics in DNA sequences

Autori
Martinis, Mladen ; Štambuk, Nikola ; Črnugelj, Josip

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Book of Abstracts MATH/CHEM/COMP/2001 / Graovac, Ante ; Pokrić, Biserka ; Smrečki, Vilko - Zagreb : Institut Ruđer Bošković, 2001, 57-57

Skup
MATH/CHEM/COMP/2001 - The 16th Dubrovnik International Course & Conference on the Interfaces among Mathematics, Chemistry and Computer Sciences

Mjesto i datum
Dubrovnik, Hrvatska, 25.06.2001. - 30.06.2001

Vrsta sudjelovanja
Poster

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
alpha-helices; amino acids; beta-sheets; DNA; Fourier analysis; fractal dimension; long-range correlations; low dimensional chaos; nucleotides

Sažetak
A large amount of available DNA sequences enables better analyses of the problem of existence of significant sequential correlations. The question, which is not yet settled with certainty, whether the correlations are short or long ranged can now be studied. Long-range correlations are usually characteristic of critical phenomena and of low dimensional chaotic dynamics. We study the presence of low dimensional chaos in the protein secondary structures by using the following encoding for the four nucleotides of DNA : T?(00), A? (10), G?(11) and C?(01) based purine (A, G)/pyrimidine (C, T/U) and strong (G, C)/weak (A, T/U) H-bond. The 20 amino acids are then encoded by 6 binary digits. The R/S analyses leading to the Hurst exponent which is related to the fractal dimension is performed for 10 alpha-helices and 10 beta-sheets. We find similar fractal dimension about 1.5. However, the Fourier analyses of the autocorrelation functions of alpha and beta secondary structure show significant differences.

Izvorni jezik
Engleski

Znanstvena područja
Fizika

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