Order Differential Equation

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Delphine S Courvoisier - One of the best experts on this subject based on the ideXlab platform.

  • dynamical system modeling of self regulated systems undergoing multiple excitations first Order Differential Equation approach
    Multivariate Behavioral Research, 2020
    Co-Authors: Denis Mongin, Adriana Uribe Caparros, Julien Gateau, Baris Gencer, Jose Ramon Alverocruz, Boris Cheval, Stephane Cullati, Delphine S Courvoisier
    Abstract:

    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 the evolution...

  • dynamical analysis in a self regulated system undergoing multiple excitations first Order Differential Equation approach
    arXiv: Applications, 2018
    Co-Authors: Denis Mongin, Julien Gateau, Baris Gencer, Boris Cheval, Stephane Cullati, Adriana Uribe, Delphine S Courvoisier
    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.

Denis Mongin - One of the best experts on this subject based on the ideXlab platform.

  • dynamical system modeling of self regulated systems undergoing multiple excitations first Order Differential Equation approach
    Multivariate Behavioral Research, 2020
    Co-Authors: Denis Mongin, Adriana Uribe Caparros, Julien Gateau, Baris Gencer, Jose Ramon Alverocruz, Boris Cheval, Stephane Cullati, Delphine S Courvoisier
    Abstract:

    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 the evolution...

  • dynamical analysis in a self regulated system undergoing multiple excitations first Order Differential Equation approach
    arXiv: Applications, 2018
    Co-Authors: Denis Mongin, Julien Gateau, Baris Gencer, Boris Cheval, Stephane Cullati, Adriana Uribe, Delphine S Courvoisier
    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.

Baris Gencer - One of the best experts on this subject based on the ideXlab platform.

  • dynamical system modeling of self regulated systems undergoing multiple excitations first Order Differential Equation approach
    Multivariate Behavioral Research, 2020
    Co-Authors: Denis Mongin, Adriana Uribe Caparros, Julien Gateau, Baris Gencer, Jose Ramon Alverocruz, Boris Cheval, Stephane Cullati, Delphine S Courvoisier
    Abstract:

    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 the evolution...

  • dynamical analysis in a self regulated system undergoing multiple excitations first Order Differential Equation approach
    arXiv: Applications, 2018
    Co-Authors: Denis Mongin, Julien Gateau, Baris Gencer, Boris Cheval, Stephane Cullati, Adriana Uribe, Delphine S Courvoisier
    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.

Julien Gateau - One of the best experts on this subject based on the ideXlab platform.

  • dynamical system modeling of self regulated systems undergoing multiple excitations first Order Differential Equation approach
    Multivariate Behavioral Research, 2020
    Co-Authors: Denis Mongin, Adriana Uribe Caparros, Julien Gateau, Baris Gencer, Jose Ramon Alverocruz, Boris Cheval, Stephane Cullati, Delphine S Courvoisier
    Abstract:

    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 the evolution...

  • dynamical analysis in a self regulated system undergoing multiple excitations first Order Differential Equation approach
    arXiv: Applications, 2018
    Co-Authors: Denis Mongin, Julien Gateau, Baris Gencer, Boris Cheval, Stephane Cullati, Adriana Uribe, Delphine S Courvoisier
    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.

Boris Cheval - One of the best experts on this subject based on the ideXlab platform.

  • dynamical system modeling of self regulated systems undergoing multiple excitations first Order Differential Equation approach
    Multivariate Behavioral Research, 2020
    Co-Authors: Denis Mongin, Adriana Uribe Caparros, Julien Gateau, Baris Gencer, Jose Ramon Alverocruz, Boris Cheval, Stephane Cullati, Delphine S Courvoisier
    Abstract:

    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 the evolution...

  • dynamical analysis in a self regulated system undergoing multiple excitations first Order Differential Equation approach
    arXiv: Applications, 2018
    Co-Authors: Denis Mongin, Julien Gateau, Baris Gencer, Boris Cheval, Stephane Cullati, Adriana Uribe, Delphine S Courvoisier
    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.