We study the primary DNA structure of four of the most completely sequenced human chromosomes (including chromosome 19 which is the most dense in coding), using non-extensive statistics. We show that the exponents governing the spatial decay of the coding size distributions vary between 5.2 ≤r...

We examine the fractal patterns arising in the Lattice Limit Cycle model, when it is restricted on square and fractal lattices. We show that, for processes taking place on regular 2d substrates, the fractal dimensions depend on the kinetic constants and we have observed a sharp phase-transition...

Much of the on-going statistical analysis of DNA sequences is focused on the estimation of characteristics of coding and non-coding regions that would possibly allow discrimination of these regions. In the current approach, we concentrate specifically on genes and intergenic regions. To estimate...

The statistical properties of the size distribution of DNA segments separating identical oligonucleotides are studied. For representative eukaryotes (Homo sapiens, Mus musculus, Saccharomyces cereviciae, Oryza sativa, Arabidopsis thaliana) we have demonstrated the existence of long-range...

The cluster formation in the cyclic (4+1)-Lattice Lotka–Volterra Model is studied by Kinetic Monte Carlo simulations on a square lattice support. At the Mean Field level this model demonstrates conservative four-dimensional oscillations which, depending on the parameters, can be chaotic or...

A random aggregation model with influx is proposed for the formation of the non-coding DNA regions via random co-aggregation and influx of biological macromolecules such as viruses, parasite DNA, and replication segments. The constant mixing (transpositions) and influx drives the system in an...

We use q-exponential distributions, which maximize the nonextensive entropy Sq (defined as Sq≡(1−∑ipiq)/(q−1)), to study the size distributions of non-coding DNA (including introns and intergenic regions) in all human chromosomes. We show that the value of the exponent q describing the...

By using non-extensive block entropy statistics, we demonstrate analytically that the static structures of deterministic Cantor sets with fractal dimension df are characterised by a non-extensive q-exponent q=1/(df-d), for dfd (where d is the embedding dimensions of the fractal set). To...