Mathematical modeling of the autonomic function

D. Candia-Rivera, V. Catrambone, R. Barbieri and G. Valenza (2021). 

Integral pulse frequency modulation model driven by sympathovagal dynamics: Synthetic vs. real heart rate variability

Biomedical Signal Processing and Control. 

https://doi.org/10.1016/j.bspc.2021.102736

In this study are disentangled the slow and fast heart rate oscillations through Laguerre polynomial convolutions to gather Sympathetic and Parasympathetic fluctuations

The estimated Sympathetic and Parasympathetic series are integrated in an Integral pulse frequency modulation model to accurately generate the original series

D. Candia-Rivera. 

Modeling brain-heart interactions from Poincaré plot-derived measures of sympathetic-vagal activity

(invited methods article).

MethodsX

https://doi.org/10.1016/j.mex.2023.102116

In this study is proposed the estimation of sympathetic and parasympathetic activities using  Poincaré plot fluctuating geometry on time 

This approach disentangles slow and fast heart rate oscillations without defining specific frequency bands and accounting for nonlinear changes

D. Candia-Rivera, F. de Vico Fallani, M. Chavez. 

Robust and time-resolved estimation of cardiac sympathetic and parasympathetic indices

Royal Society Open Science

https://doi.org/10.1101/2023.11.18.567211