Cargando…

Optimal Determination of Respiratory Airflow Patterns Using a Nonlinear Multicompartment Model for a Lung Mechanics System

We develop optimal respiratory airflow patterns using a nonlinear multicompartment model for a lung mechanics system. Specifically, we use classical calculus of variations minimization techniques to derive an optimal airflow pattern for inspiratory and expiratory breathing cycles. The physiological...

Descripción completa

Detalles Bibliográficos
Autores principales: Li, Hancao, Haddad, Wassim M.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2012
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3376482/
https://www.ncbi.nlm.nih.gov/pubmed/22719793
http://dx.doi.org/10.1155/2012/165946
_version_ 1782235830879780864
author Li, Hancao
Haddad, Wassim M.
author_facet Li, Hancao
Haddad, Wassim M.
author_sort Li, Hancao
collection PubMed
description We develop optimal respiratory airflow patterns using a nonlinear multicompartment model for a lung mechanics system. Specifically, we use classical calculus of variations minimization techniques to derive an optimal airflow pattern for inspiratory and expiratory breathing cycles. The physiological interpretation of the optimality criteria used involves the minimization of work of breathing and lung volume acceleration for the inspiratory phase, and the minimization of the elastic potential energy and rapid airflow rate changes for the expiratory phase. Finally, we numerically integrate the resulting nonlinear two-point boundary value problems to determine the optimal airflow patterns over the inspiratory and expiratory breathing cycles.
format Online
Article
Text
id pubmed-3376482
institution National Center for Biotechnology Information
language English
publishDate 2012
publisher Hindawi Publishing Corporation
record_format MEDLINE/PubMed
spelling pubmed-33764822012-06-20 Optimal Determination of Respiratory Airflow Patterns Using a Nonlinear Multicompartment Model for a Lung Mechanics System Li, Hancao Haddad, Wassim M. Comput Math Methods Med Research Article We develop optimal respiratory airflow patterns using a nonlinear multicompartment model for a lung mechanics system. Specifically, we use classical calculus of variations minimization techniques to derive an optimal airflow pattern for inspiratory and expiratory breathing cycles. The physiological interpretation of the optimality criteria used involves the minimization of work of breathing and lung volume acceleration for the inspiratory phase, and the minimization of the elastic potential energy and rapid airflow rate changes for the expiratory phase. Finally, we numerically integrate the resulting nonlinear two-point boundary value problems to determine the optimal airflow patterns over the inspiratory and expiratory breathing cycles. Hindawi Publishing Corporation 2012 2012-06-08 /pmc/articles/PMC3376482/ /pubmed/22719793 http://dx.doi.org/10.1155/2012/165946 Text en Copyright © 2012 H. Li and W. M. Haddad. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Li, Hancao
Haddad, Wassim M.
Optimal Determination of Respiratory Airflow Patterns Using a Nonlinear Multicompartment Model for a Lung Mechanics System
title Optimal Determination of Respiratory Airflow Patterns Using a Nonlinear Multicompartment Model for a Lung Mechanics System
title_full Optimal Determination of Respiratory Airflow Patterns Using a Nonlinear Multicompartment Model for a Lung Mechanics System
title_fullStr Optimal Determination of Respiratory Airflow Patterns Using a Nonlinear Multicompartment Model for a Lung Mechanics System
title_full_unstemmed Optimal Determination of Respiratory Airflow Patterns Using a Nonlinear Multicompartment Model for a Lung Mechanics System
title_short Optimal Determination of Respiratory Airflow Patterns Using a Nonlinear Multicompartment Model for a Lung Mechanics System
title_sort optimal determination of respiratory airflow patterns using a nonlinear multicompartment model for a lung mechanics system
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3376482/
https://www.ncbi.nlm.nih.gov/pubmed/22719793
http://dx.doi.org/10.1155/2012/165946
work_keys_str_mv AT lihancao optimaldeterminationofrespiratoryairflowpatternsusinganonlinearmulticompartmentmodelforalungmechanicssystem
AT haddadwassimm optimaldeterminationofrespiratoryairflowpatternsusinganonlinearmulticompartmentmodelforalungmechanicssystem