Integrative Computational Models of Lung Structure‐Function Interactions

Clark, Alys R.; Burrowes, Kelly; Tawhai, Merryn H.

doi:10.1002/cphy.c200011

Cited by 2 publications

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“…A variety of models have been used to simulate and analyze respiratory phenomena in both health and disease, for normal breathing 7–13 as well as mimicking basic diagnostic or lung function supporting modalities, such as forced expiration in spirometry, 4,14–17 forced oscillation technique (FOT), 18–22 interrupter technique (IT), 23,24 multi‐breath washout, 25–28 aerosol particle deposition, 29–36 or mechanical ventilation 37–43 . Those studies have proved the importance and usefulness of respiratory system modeling 44 …”

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confidence: 99%

“…[37][38][39][40][41][42][43] Those studies have proved the importance and usefulness of respiratory system modeling. 44 Depending on the needs and technical potential, more or less advanced models were used to describe the airflow in the bronchi, varying from simple lumped parameters to developed distributed models. The distributed model for the pressure drop in a flexible airway, proposed by Lambert et al, 4 belongs to the latter ones.…”

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Algebraic approximation of the distributed model for the pressure drop in the respiratory airways

Polak

2022

Numer Methods Biomed Eng

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The complexity of the human respiratory system causes that one of the main methods of analyzing the dynamic pulmonary phenomena and interpreting experimental results are simulations of its computational models. Among the most compound elements of these models, apart from the bronchial tree structure, is the phenomenon of flow limitation in flexible bronchi, which causes them to collapse with increasing flow, thus their properties, such as resistance, compliance and inertance, are highly nonlinear and time‐varying. Commonly, this phenomenon is ignored, or a distributed model for the airway pressure drop is applied, simulated with a modified numerical solver of this differential equation (ODE). The disadvantages of this solution are the problems with taking into account the inherent singularity of the model and the long computation time due to iterative nature of the ODE procedure. The aim of the work was to derive an algebraic approximation of this distributed model, suitable for implementation in continuous dynamic models, to validate it by comparing the results of simulations with the respiratory system model including approximate and original (ODE solver) numerical procedures, as well as to evaluate possible acceleration of calculations. All simulations, including spontaneous breathing, mechanical ventilation with the optimal ventilatory waveform and forced expiration, proved that algebraic approximation yielded results negligibly differing from the ODE solution, and shortened the computation time by an order. The proposed approach is an attractive alternative in the case of computer implementations of pulmonary models, where simulations of flows and pressures in the complex respiratory system are of primary importance.

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