Laminar recurrences, maxline, unstable singularities and biological dynamics

Recurrence quantification analysis can reveal subtle aspects of dynamics not easily appreciated by other methods such as the Fourier transform. Laminarity and maxline are two RQA variables that can demonstrate the presence of unstable singularities which are often found in biological dynamics. Examples are presented and their implications are discussed relative to deterministic dynamics and stochastic processes

From time to space recurrences in biopolymers.

The application of Recurrence-Based Techniques to biopolymers is herewith introduced with an emphasis on the differences holding between the analysis of strings endowed with a mainly logical (DNA) or chemico-physical (Proteins) information content. The unique features of RQA when applied to systems in which spatial order (sequence) takes the place of time are described, showing how RQA can be considered as a complex network analysis tool particularly suited for giving a quantitative description to molecular structures at different levels of detail. The comparison of DNA sequences with text strings helps to shed light on the particular nature of biological information coding and shed light on the role of RQA technique in bioinformatics and computational biology fields