A tutorial on ordinary differential equations in behavioral science: What does physics teach us?

D Mongin, A Uribe, S Cullati… - Psychological …, 2022 - psycnet.apa.org
The present tutorial proposes to use concepts of physics and mathematics to help
behavioral scientists to use differential equations in their studies. It focuses on the first-order …

Studying developmental processes in accelerated cohort-sequential designs with discrete-and continuous-time latent change score models.

E Estrada, E Ferrer - Psychological methods, 2019 - psycnet.apa.org
Studying the time-related course of psychological processes is a challenging endeavor,
particularly over long developmental periods. Accelerated longitudinal designs (ALD) allow …

Integrative science approach to resilience: The notre dame study of health & well-being (NDHWB)

CS Bergeman, SM Boker, N Rose… - Research in Human …, 2021 - Taylor & Francis
Although many studies have unequivocally demonstrated the promise of understanding
resilience to adversity and characterizing the consequences if stress is unabated, needed …

Characterizing affect dynamics with a damped linear oscillator model: Theoretical considerations and recommendations for individual-level applications.

MJF Ollero, E Estrada, MD Hunter - Psychological Methods, 2023 - psycnet.apa.org
People show stable differences in the way their affect fluctuates over time. Within the general
framework of dynamical systems, the damped linear oscillator (DLO) model has been …

Constrained fourth order latent differential equation reduces parameter estimation bias for damped linear oscillator models

SM Boker, RG Moulder, GR Sjobeck - Structural equation modeling …, 2020 - Taylor & Francis
Second-order linear differential equations can be used as models for regulation since under
a range of parameter values they can account for a return to equilibrium as well as potential …

Separating Long-Term Equilibrium Adaptation from Short-Term Self-Regulation Dynamics Using Latent Differential Equations

SM Boker, KE Daniel, J Orzek - Multivariate Behavioral Research, 2024 - Taylor & Francis
Self-regulating systems change along different timescales. Within a given week, a
depressed person's affect might oscillate around a low equilibrium point. However, when the …

A method of correcting estimation failure in latent differential equations with comparisons to Kalman filtering

KL McKee, MD Hunter, MC Neale - Multivariate behavioral …, 2020 - Taylor & Francis
Studies have used the latent differential equation (LDE) model to estimate the parameters of
damped oscillation in various phenomena, but it has been shown that correct, non-zero …

Dynamical system modeling of self-regulated systems undergoing multiple excitations: first order differential equation approach

D Mongin, AU Caparros, J Gateau… - Multivariate …, 2021 - Taylor & Francis
This article proposes a dynamical system modeling approach for the analysis of longitudinal
data of self-regulated homeostatic systems experiencing multiple excitations. It focuses on …

[PDF][PDF] Yes, let's enrich the Big Five personality taxonomy! But how far do we go

BF Jeronimus, AM Reitsema - European Journal of Personality, 2018 - academia.edu
In his target paper, Hopwood proposes the expansion of the Big Five framework beyond the
conventional range of personality features to cover (a) their maladaptive extremes …

[BOEK][B] Making Waves: Dynamic Modeling of Bipolar Disorder

EG Keenan - 2023 - search.proquest.com
Bipolar disorder affects about 1% of the world population and presents a serious problem for
affected individuals in their attainment of educational and other societal goals. Although …