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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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Typical inspiration and expiration compliance functions as function of compartmental volumes.
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fig3: Typical inspiration and expiration compliance functions as function of compartmental volumes.

Mentions: (5)kj=⌊kj+1−12⌋  +1,   j=0,…,n−1,    kn=i,where ⌊q⌋ denotes the floor function which gives the largest integer less than or equal to the positive number q. Figure 3 shows a typical piecewise linear compliance function for inspiration. A similar compliance representation holds for expiration and is also shown in Figure 3.


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)

Typical inspiration and expiration compliance functions as function of compartmental volumes.
© Copyright Policy - open-access
Related In: Results  -  Collection

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

fig3: Typical inspiration and expiration compliance functions as function of compartmental volumes.
Mentions: (5)kj=⌊kj+1−12⌋  +1,   j=0,…,n−1,    kn=i,where ⌊q⌋ denotes the floor function which gives the largest integer less than or equal to the positive number q. Figure 3 shows a typical piecewise linear compliance function for inspiration. A similar compliance representation holds for expiration and is also shown in Figure 3.

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