en
Scientific article
Open access
English

Dynamical analysis in a self-regulated system undergoing multiple excitations: first order differential equation approach

Published inMultivariate Behavioral Research, vol. 56, no. 4, p. 649-668
Publication date2021
Abstract

This article proposes a dynamical system modeling approach for the analysis of longitudinal data of self-regulated systems experiencing multiple excitations. The aim of such an approach is to focus on the evolution of a signal (e.g., heart rate) before, during, and after excitations taking the system out of its equilibrium (e.g., physical effort during cardiac stress testing). Dynamical modeling can be applied to a broad range of outcomes such as physiological processes in medicine and psychosocial processes in social sciences, and it allows to extract simple characteristics of the signal studied. The model we propose is based on a first order linear differential equation defined by three main parameters corresponding to the initial equilibrium value, the dynamic characteristic time, and the reaction to the excitation. In this paper, several estimation procedures for this model are considered and tested in a simulation study, that clarifies under which conditions accurate estimates are provided. Finally, applications of this model are illustrated using cardiology data recorded during effort tests.

Keywords
  • DOREMI
  • Dynamical system modeling
  • Differential equation
  • Homeostasis
  • Longitudinal data
  • Self-regulated system
  • System identification
  • Two-step approach
Classification
  • arxiv : stat.AP
Citation (ISO format)
MONGIN, Denis et al. Dynamical analysis in a self-regulated system undergoing multiple excitations: first order differential equation approach. In: Multivariate Behavioral Research, 2021, vol. 56, n° 4, p. 649–668. doi: 10.1080/00273171.2020.1754155
Main files (1)
Article (Accepted version)
accessLevelPublic
Identifiers
ISSN of the journal0027-3171
138views
123downloads

Technical informations

Creation07/06/2021 6:09:00 PM
First validation07/06/2021 6:09:00 PM
Update time03/16/2023 1:00:29 AM
Status update03/16/2023 1:00:28 AM
Last indexation01/17/2024 1:50:48 PM
All rights reserved by Archive ouverte UNIGE and the University of GenevaunigeBlack