Related Experiment Video
Updated: Aug 11, 2026

A Method of Trigonometric Modelling of Seasonal Variation Demonstrated with Multiple Sclerosis Relapse Data
Published on: December 9, 2015
Modelling the dynamics of angles of human R-R intervals
N B Janson1, A G Balanov, V S Anishchenko
1Department of Physics, Lancaster University, UK. n.janson@lancaster.ac.uk
Abstract:
Heart rate variability (HRV) data from young healthy humans is expanded into two components, namely, the angles and radii of a map of R-R intervals. It is shown that. for most subjects at rest breathing spontaneously, the map of successive angles reveals a highly deterministic structure after the frequency range below approximately 0.05 Hz has been filtered out. However, no obvious low-dimensional structure is found in the map of successive radii. A recently proposed model describing the map of angles for a periodic self-oscillator under external periodic and quasiperiodic forcing is successfully applied to model the dynamics of such angles.
Related Concept Videos
Relative Motion Analysis using Rotating Axes
However, to express the relative position of point B relative to point A, an additional frame of reference, denoted as x'y', is necessary. This additional frame not only translates but also rotates relative to the fixed frame, making it instrumental in...
Relative Motion Analysis using Rotating Axes-Problem Solving
Here, in order to determine the magnitude of velocity and acceleration for point...
Relative Motion Analysis - Acceleration
Relative Motion Analysis using Rotating Axes - Acceleration
Time differentiation is...
Derivatives of the Trigonometric Functions
Application of Integration: Problem Solving

