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nlin.CD2018★ 33 cited
Heterogeneity and chaos in the Peyrard-Bishop-Dauxois DNA model
Malcolm Hillebrand, George Kalosakas, Adrian Schwellnus +1
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 t…
math.CO2018★ 1 cited
Distribution of Base Pair Alternations in a Periodic DNA Chain: Application of Polya Counting to a Physical System
Malcolm Hillebrand, Guy Paterson-Jones, George Kalosakas +1
In modeling DNA chains, the number of alternations between Adenine-Thymine (AT) and Guanine-Cytosine (GC) base pairs can be considered as a measure of the heterogeneity of the chai…