Distribution of base pair alternations in a periodic DNA chain: application of Pólya counting to a physical system

DOI10.1134/S1560354718020016zbMath1397.05015arXiv1805.06245MaRDI QIDQ1799398

Malcolm Hillebrand, George Kalosakas, Guy Paterson-Jones, Charalampos Skokos

Publication date: 18 October 2018

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.06245

zbMATH Keywords

heterogeneityPólya's counting theoremDNA modelsnecklace combinatorics

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Protein sequences, DNA sequences (92D20)

Cites Work

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• Twist versus nonlinear stacking in short DNA molecules
• Compound Poisson approximation of word counts in DNA sequences
• Exact distribution of word occurrences in a random sequence of letters
• Nonlinear dynamics and statistical physics of DNA

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