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26 April 2024
 
  » arxiv » 1811.6689

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Heterogeneity and chaos in the Peyrard-Bishop-Dauxois DNA model
Malcolm Hillebrand ; George Kalosakas ; Adrian Schwellnus ; Charalampos Skokos ;
Date 16 Nov 2018
AbstractWe 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.
Source arXiv, 1811.6689
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