Heterogeneity and chaos in the Peyrard-Bishop-Dauxois DNA model

Hillebrand, M.; Kalosakas, G.; Schwellnus, A.; Skopos, Charalampos

doi:10.1103/PhysRevE.99.022213

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Heterogeneity and chaos in the Peyrard-Bishop-Dauxois DNA model

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Skopos, Charalampos
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Hillebrand, M., Kalosakas, G., Schwellnus, A., & Skopos, C. (2019). Heterogeneity and chaos in the Peyrard-Bishop-Dauxois DNA model. Physical Review E, 99(2): 022213. doi:10.1103/PhysRevE.99.022213.

Zitierlink: https://hdl.handle.net/21.11116/0000-0003-C254-3

Zusammenfassung

We discuss the effect of heterogeneity on the chaotic properties of the Peyrard-Bishop-Dauxois nonlinear model of DNA. Results are presented for the maximum Lyapunov exponent and the deviation vector distribution. Different compositions of adenine-thymine (AT) and guanine-cytosine (GC) base pairs are examined for various energies up to the melting point of the corresponding sequence. We also consider the effect of the alternation index, which measures the heterogeneity of the DNA chain through the number of alternations between different types (AT or GC) of base pairs, on the chaotic behavior of the system. Biological gene promoter sequences have been also investigated, showing no distinct behavior of the maximum Lyapunov exponent.