16 citations · 16 across the 2 of their papers we have counts for
6 papers
Bubble lifetimes in DNA gene promoters and their mutations affecting transcription
M Hillebrand, G Kalosakas, A R Bishop +1
Relative lifetimes of inherent double stranded DNA openings with lengths up to ten base pairs are presented for different gene promoters and corresponding mutants that either incre…
Chaotic Dynamics of Polyatomic Systems with an Emphasis on DNA Models
Malcolm Hillebrand
We investigate the chaotic behaviour of multiparticle systems, in particular DNA and graphene models, by applying methods of nonlinear dynamics. Using symplectic integration techni…
Distributions of Bubble Lifetimes and Bubble Lengths in DNA
Malcolm Hillebrand, George Kalosakas, Haris Skokos +1
We investigate the distribution of bubble lifetimes and bubble lengths in DNA at physiological temperature, by performing extensive molecular dynamics simulations with the Peyrard-…
Chaotic dynamics of graphene and graphene nanoribbons
Malcolm Hillebrand, Bertin Many Manda, George Kalosakas +2
We study the chaotic dynamics of graphene structures, considering both a periodic, defect free, graphene sheet and graphene nanoribbons (GNRs) of various widths. By numerically cal…
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…
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…