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Optimal determination of respiratory airflow patterns using a nonlinear multicompartment model for a lung mechanics system.

Li H, Haddad WM - Comput Math Methods Med (2012)

Bottom Line: 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.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.

View Article: PubMed Central - PubMed

Affiliation: School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0150, USA.

ABSTRACT
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.

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Four-compartment lung model.
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Related In: Results  -  Collection


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fig2: Four-compartment lung model.

Mentions: Next, we develop the state equations for inspiration and expiration for a 2n-compartment model, where n ≥ 0. In this model, the lungs are represented as 2n lung units which are connected to the pressure source by n generations of airway units, where each airway is divided into two airways of the subsequent generation leading to 2n compartments (see Figure 2 for a four-compartment model).


Optimal determination of respiratory airflow patterns using a nonlinear multicompartment model for a lung mechanics system.

Li H, Haddad WM - Comput Math Methods Med (2012)

Four-compartment lung model.
© Copyright Policy - open-access
Related In: Results  -  Collection

Show All Figures
getmorefigures.php?uid=PMC3376482&req=5

fig2: Four-compartment lung model.
Mentions: Next, we develop the state equations for inspiration and expiration for a 2n-compartment model, where n ≥ 0. In this model, the lungs are represented as 2n lung units which are connected to the pressure source by n generations of airway units, where each airway is divided into two airways of the subsequent generation leading to 2n compartments (see Figure 2 for a four-compartment model).

Bottom Line: 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.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.

View Article: PubMed Central - PubMed

Affiliation: School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0150, USA.

ABSTRACT
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.

Show MeSH