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

2012 ◽  
Vol 2012 ◽  
pp. 1-11 ◽  
Author(s):  
Hancao Li ◽  
Wassim M. Haddad

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.

Author(s):  
Saing Paul Hou ◽  
Nader Meskin ◽  
Wassim M. Haddad

In this paper, we develop a framework for determining optimal respiratory airflow patterns for a multicompartment lung mechanics system with nonlinear resistance and compliance parameters. First, a nonlinear multicompartment lung mechanics model that accounts for nonlinearities in both the airway resistances and the lung compliances is developed. In particular, we assume that the resistive losses are characterized by a Rohrer-type model with resistive losses defined as the sum of linear and quadratic terms of the airflow. The proposed model is more realistic than those presented in the literature, since it takes into account the heterogeneity of lung anatomy and function as well as the nonlinearity of lung resistance and compliance parameters. This model can be used to provide a better understanding of pulmonary function as well as the process of mechanical ventilation. Next, using the proposed nonlinear multicompartment lung model, we develop a framework for determining optimal respiratory airflow patterns. Specifically, an optimization criterion that involves the minimization of the oxygen consumption of the lung muscles 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 is formulated and solved. The solution to the formulated optimization problem is derived using classical calculus of variation techniques. Finally, several illustrative numerical examples are presented to illustrate the efficacy of the proposed nonlinear multicompartment lung model and the corresponding optimal airflow patterns. Comparison with experimental data shows that our nonlinear resistance model predicts the airflow patterns more accurately than linear resistance models. Moreover, the optimization criterion used in this paper also provides a more accurate prediction of the optimal airflow patterns.


PEDIATRICS ◽  
1979 ◽  
Vol 64 (4) ◽  
pp. 429-432 ◽  
Author(s):  
Alastair A. Hutchison ◽  
Keith R. Ross ◽  
George Russell

The effect of right lateral, supine, and prone postures on ventilation and lung mechanics was studied in 23 healthy newborn infants, ten preterm and 13 term, "light-for-date." In the preterm group, tidal volume, minute volume, elastic work, inspiratory viscous work, total viscous work, and the total work of breathing were significantly greater in the prone position than in the supine position. Results obtained in the lateral position did not differ significantly from those in the prone or supine positions. Posture did not significantly affect tidal volume or lung mechanics in the light-for-date infants. The prone position is suggested to be the optimum nursing posture for healthy preterm infants.


2020 ◽  
Vol 21 (1) ◽  
Author(s):  
Emanuela Zannin ◽  
Ilaria Milesi ◽  
Roberto Porta ◽  
Simona Cacciatore ◽  
Luca Barbano ◽  
...  

Abstract Background Tidal expiratory flow limitation (EFLT) promotes intrinsic PEEP (PEEPi) in patients with chronic obstructive pulmonary disease (COPD). Applying non-invasive ventilation (NIV) with an expiratory positive airway pressure (EPAP) matching PEEPi improves gas exchange, reduces work of breathing and ineffective efforts. We aimed to evaluate the effects of a novel NIV mode that continuously adjusts EPAP to the minimum level that abolishes EFLT. Methods This prospective, cross-over, open-label study randomized patients to one night of fixed-EPAP and one night of EFLT-abolishing-EPAP. The primary outcome was transcutaneous carbon dioxide pressure (PtcCO2). Secondary outcomes were: peripheral oxygen saturation (SpO2), frequency of ineffective efforts, breathing patterns and oscillatory mechanics. Results We screened 36 patients and included 12 in the analysis (age 72 ± 8 years, FEV1 38 ± 14%Pred). The median EPAP did not differ between the EFLT-abolishing-EPAP and the fixed-EPAP night (median (IQR) = 7.0 (6.0, 8.8) cmH2O during night vs 7.5 (6.5, 10.5) cmH2O, p = 0.365). We found no differences in mean PtcCO2 (44.9 (41.6, 57.2) mmHg vs 54.5 (51.1, 59.0), p = 0.365), the percentage of night time with PtcCO2 > 45 mm Hg was lower (62(8,100)% vs 98(94,100)%, p = 0.031) and ineffective efforts were fewer (126(93,205) vs 261(205,351) events/hour, p = 0.003) during the EFLT-abolishing-EPAP than during the fixed-EPAP night. We found no differences in oxygen saturation and lung mechanics between nights. Conclusion An adaptive ventilation mode targeted to abolish EFLT has the potential to reduce hypercapnia and ineffective efforts in stable COPD patients receiving nocturnal NIV. Trial registration: ClicalTrials.gov, NCT04497090. Registered 29 July 2020—Retrospectively registered, https://clinicaltrials.gov/ct2/show/NCT04497090.


1974 ◽  
Vol 37 (5) ◽  
pp. 654-657 ◽  
Author(s):  
E F Aharonson ◽  
H Menkes ◽  
G Gurtner ◽  
D L Swift ◽  
D F Proctor

1989 ◽  
Vol 38 (3-4) ◽  
pp. 187-194
Author(s):  
Mike Jacroux ◽  
Rita Saha Ray

In this paper we consider the determination of optimal designs in experimental situations requiring usage of a block design having v treatments assigned to experimental units arranged in b blocks of size k. Using majorization arguments, a design d* having an incidence matrix of the form [Formula: see text] is optimal under a wide class of optimality criteria.


2001 ◽  
Author(s):  
Nidal Al-Masoud ◽  
Tarunraj Singh

Abstract In this paper, a methodology is proposed for determination of optimal actuator and sensor locations for the control of combustion instabilities. The proposed approach relies on certain quantitative measures of degree of controllability and observability based on the controllability and observability grammians. These criteria are arrived at by considering the energies of system’s inputs and outputs. The optimality criteria for sensor and actuator locations provide a balance between the importance of the lower order and the higher order modes. It is assumed that the control input is provided by a finite number of point actuators, and the instantaneous conditions in the chamber are monitored, in general, by multiple sensors.


PEDIATRICS ◽  
1965 ◽  
Vol 36 (3) ◽  
pp. 374-384
Author(s):  
Paul R. Swyer ◽  
Maria Delivoria-Papadopoulos ◽  
Henry Levison ◽  
Bernard J. Reilly ◽  
John U. Balis

Eight examples of the Wilson-Mikity Syndrome are reported, 2 of whom died at 127 and 145 days of age respectively. The radiology of the condition is relatively specific and gives strong grounds for suspicion of the diagnosis when taken in the clinical context. Gross, histological, and electron microscopic examinations reveal areas of normality, emphysema, and immaturity. The electron microscope additionally shows areas where the alveolar wall thickening is due to the presence of smooth muscle, reticulin, and collagen. The most likely etiology is a disorder in postnatal alveolar development related to premature birth and functional use of an immature lung. There are changes in lung mechanics with decreased compliance and increased non-elastic resistance to airflow mainly in expiration. The mechanical work of breathing is increased. There is a respiratory acidosis in spite of an increased minute volume. Arterial oxygen desaturation is common, increased by crying and only partially relieved by oxygen. Large R → L shunts have been demonstrated which are probably intrapulmonary.


2010 ◽  
Vol 48 (6) ◽  
pp. 722-728 ◽  
Author(s):  
Ju-seog Ko ◽  
Chan-hoon Yoon ◽  
Sung-wook Yoon ◽  
Jin Kim

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