A Langevin model for complex cardiological time series

TL;DR

This paper introduces a Langevin model with a sigmoid restoring force and multiplicative noise to effectively describe the complex, non-Gaussian, long-range correlated fluctuations observed in blood pressure time series, indicating out-of-equilibrium dynamics.

Contribution

It proposes a physiologically motivated Langevin equation model that captures the complex dynamics of blood pressure signals, advancing understanding of cardiovascular regulation.

Findings

Model accurately reproduces blood pressure fluctuations

Reveals non-Gaussian statistics and long-range correlations

Supports out-of-equilibrium system behavior

Abstract

There has been considerable efforts to understand the underlying complex dynamics in physiological time series. Methods originated from statistical physics revealed a non-Gaussian statistics and long range correlations in those signals. This suggests that the regulatory system operates out of equilibrium. Herein the complex fluctuations in blood pressure time series were successful described by physiological motivated Langevin equation under a sigmoid restoring force with multiplicative noise.