Mathematical Modeling of Pulmonary Airway Dynamics

Golden, James F.; Clark, John W.; Stevens, Paul

doi:10.1109/tbme.1973.324211

Cited by 43 publications

(27 citation statements)

References 7 publications

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“…Golden et al [35] were the first to model a complete pressure-flow relationship in the ventilatory system. They assumed a rigid system, which was modelled at a constant resistance, including only a flow-dependent term that describes the turbulent flow that can occur in the large airways.…”

Section: Tracheo-bronchial Treementioning

confidence: 99%

Radiological imaging as the basis for a simulation software of ventilation in the tracheo-bronchial tree

et al. 2002

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The inhaled route is a promising new way for administering drugs to the human body. Flow and particle deposition in the human respiratory tract depends on the individual's anatomy as well as on the drug composition. A European Framework V Program supported project is currently developing a simulation tool for assessment of drug distribution and deposition. This tool relies heavily on the input of radiological data sets, which are obtained in humans. Both high temporal and spatial resolutions are required, and CT and MRI (including hyperpolarized helium-3 MRI) are applied. The radiological data are integrated into computation fluid dynamics software, which is capable of assessing air-flow profiles and compartmental behaviours. This is complemented by pharmacokinetic models, which should result in a simulation tool that will be of use for the theoretical design of new inhaled therapies. This article describes the special imaging requirements of each region of the respiratory tract and the feasibility of these sophisticated radiological techniques with a view of using these data in a simulation model of the lung.

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Section: Tracheo-bronchial Treementioning

confidence: 99%

Radiological imaging as the basis for a simulation software of ventilation in the tracheo-bronchial tree

et al. 2002

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“…1 (b), and evaluation of the R's, C's, and L's in the RCL T-network are explained in equations (4) – (6). Meanwhile, the respiratory zone is considered as a big lump, the alveolar space, since alveolar ducts and sacs are scattered throughout the respiratory zone [8]. Although the upper airway is not presented in Weibel's morphometry, it is one of the chief sites for airway resistance.…”

Section: Methodsmentioning

confidence: 99%

“…Although several models have been developed to simulate respiration by other researchers and their models successfully worked for their own purposes, these models are not appropriate for HFCC simulation because these models were either linearized [7,8] or because they assumed that respiration was driven by a mechanical ventilator at the mouth [5,20]. The model presented in this paper provides reliable simulation results on fast change of intrapleural pressure ( P pl ) altered by HFCC because this model is described with nonlinear equations and P pl is selected as the driving force of respiration.…”

Section: Introductionmentioning

confidence: 99%

Investigation of non-uniform airflow signal oscillation during high frequency chest compression

et al. 2005

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BackgroundHigh frequency chest compression (HFCC) is a useful and popular therapy for clearing bronchial airways of excessive or thicker mucus. Our observation of respiratory airflow of a subject during use of HFCC showed the airflow oscillation by HFCC was strongly influenced by the nonlinearity of the respiratory system. We used a computational model-based approach to analyse the respiratory airflow during use of HFCC.MethodsThe computational model, which is based on previous physiological studies and represented by an electrical circuit analogue, was used for simulation of in vivo protocol that shows the nonlinearity of the respiratory system. Besides, airflow was measured during use of HFCC. We compared the simulation results to either the measured data or the previous research, to understand and explain the observations.Results and discussionWe could observe two important phenomena during respiration pertaining to the airflow signal oscillation generated by HFCC. The amplitudes of HFCC airflow signals varied depending on spontaneous airflow signals. We used the simulation results to investigate how the nonlinearity of airway resistance, lung capacitance, and inertance of air characterized the respiratory airflow. The simulation results indicated that lung capacitance or the inertance of air is also not a factor in the non-uniformity of HFCC airflow signals. Although not perfect, our circuit analogue model allows us to effectively simulate the nonlinear characteristics of the respiratory system.ConclusionWe found that the amplitudes of HFCC airflow signals behave as a function of spontaneous airflow signals. This is due to the nonlinearity of the respiratory system, particularly variations in airway resistance.

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“…2 , where K 3 is the resistance value when intermediate airway volume V c is equal to its maximum V cmax [14]. The pressurevolume relationship has been determined from experimental data as V c = Pmus is the respiratory muscle pressure.…”

Section: Respiratory Model Adapted To the Newbornmentioning

confidence: 99%

Mathematical Modeling of Respiratory System Mechanics in the Newborn Lamb

et al. 2013

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In this paper, a mathematical model of the respiratory mechanics is used to reproduce experimental signal waveforms acquired from three newborn lambs. As the main challenge is to determine specific lamb parameters, a sensitivity analysis has been realized to find the most influent parameters, which are identified using an evolutionary algorithm. Results show a close match between experimental and simulated pressure and flow waveforms obtained during spontaneous ventilation and pleural pressure variations acquired during the application of positive pressure, since Root Mean Square Errors (RMSE) equal to 0.0119, 0.0052 and 0.0094. The identified parameters were discussed in light of previous knowledge of respiratory mechanics in the newborn.

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Mathematical Modeling of Pulmonary Airway Dynamics

Cited by 43 publications

References 7 publications

Radiological imaging as the basis for a simulation software of ventilation in the tracheo-bronchial tree

Radiological imaging as the basis for a simulation software of ventilation in the tracheo-bronchial tree

Investigation of non-uniform airflow signal oscillation during high frequency chest compression

Mathematical Modeling of Respiratory System Mechanics in the Newborn Lamb

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