Mathematical Modeling of Respiratory System Mechanics in the Newborn Lamb

Rolle, Virginie Le; Samson, Nathalie; Praud, Jean‐Paul; Hernández, Alfredo

doi:10.1007/s10441-013-9175-7

Cited by 17 publications

(21 citation statements)

References 42 publications

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“…If a compartment includes inertial effects, the pressure gradient is also a function of the acceleration of flow, where I is the inertance. Inertial effects are considered for the newborn upper rigid airway because of its smaller radius, but neglected for the rest of the model tissues [ 17 ].…”

Section: Mathematical Modelmentioning

confidence: 99%

“…The airways begin with an upper rigid segment characterized by an inertance I u and a nonlinear Rohrer resistance R u [ 17 , 20 ] that increases with airflow: The constants R u , m and K u represent laminar and turbulent flow components.…”

Section: Mathematical Modelmentioning

confidence: 99%

“…The compliance curve for the collapsible airway volume V c as a function of P tm represents data depicted in [ 21 ] following a sigmoidal function [ 17 , 22 ] Maximal compliance occurs at the middle of the sigmoid c c , with d c characterizing the slope of the sigmoid.…”

Section: Mathematical Modelmentioning

confidence: 99%

“…In this work, we have developed a nonlinear computational model of respiratory mechanics parameterized for the extremely preterm infant that demonstrates differential volume loss under high vs low chest wall compliance conditions. We adapt a model first presented by Athanasiades et al [ 14 ] and modified for newborn lambs by LeRolle et al [ 17 ]. In the latter, differences such as smaller diameter airways, higher respiratory rates, higher lung resistance, and higher chest wall compliances were considered, however many of the critical physiological nonlinearities contributing to long-term dynamics were not included.…”

Section: Introductionmentioning

confidence: 99%

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Theoretical open-loop model of respiratory mechanics in the extremely preterm infant

et al. 2018

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Non-invasive ventilation is increasingly used for respiratory support in preterm infants, and is associated with a lower risk of chronic lung disease. However, this mode is often not successful in the extremely preterm infant in part due to their markedly increased chest wall compliance that does not provide enough structure against which the forces of inhalation can generate sufficient pressure. To address the continued challenge of studying treatments in this fragile population, we developed a nonlinear lumped-parameter respiratory system mechanics model of the extremely preterm infant that incorporates nonlinear lung and chest wall compliances and lung volume parameters tuned to this population. In particular we developed a novel empirical representation of progressive volume loss based on compensatory alveolar pressure increase resulting from collapsed alveoli. The model demonstrates increased rate of volume loss related to high chest wall compliance, and simulates laryngeal braking for elevation of end-expiratory lung volume and constant positive airway pressure (CPAP). The model predicts that low chest wall compliance (chest stiffening) in addition to laryngeal braking and CPAP enhance breathing and delay lung volume loss. These results motivate future data collection strategies and investigation into treatments for chest wall stiffening.

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Section: Mathematical Modelmentioning

confidence: 99%

Section: Mathematical Modelmentioning

confidence: 99%

Section: Mathematical Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Theoretical open-loop model of respiratory mechanics in the extremely preterm infant

et al. 2018

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“…The cardiac mechanical activity is represented by means of a classical elastance-based approach [6]. Finally, the circulation is divided into the pulmonary circulation and the systemic circulation as presented by [7]. In order to integrate the metabolic gas exchange sub-model, a new compartment representing the systemic peripheral vessels has been included in the systemic circulation.…”

Section: Cardiovascular System Modelmentioning

confidence: 99%

Sensitivity Analysis of a Cardiorespiratory Model for the Study of Sleep Apnea

Guerrero

Rolle

Hernández

2018

2018 Computing in Cardiology Conference (CinC)

Self Cite

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A novel integrated model of cardio-respiratory interactions is presented in this paper with the objective of understanding the acute physiological response due to events of sleep apneas and hypopneas in adults. A formal sensitivity analysis is proposed, focused on the chemoreflex and metabolism gas exchange components of this model, during the simulation of a 20-seconds obstructive apnea episode. During apnea, the most influent parameters were those related to metabolic rates. After the apnea, the most relevant parameters were the one related with the the amplitude gains of the central and peripheral chemoreflex. A first qualitative comparison has shown a close behaviour between experimental and simulated cardiorespiratory responses to apnea. These results highlight the influent components of chemoreflex control and the metabolic rates and provides key information towards the definition of patient-specific parameters.

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Towards a Mathematical Understanding of Ventilator-Induced Lung Injury in Preterm Rat Pups

Luke,

Kelly,

Stoner

et al. 2024

Mathematical Modeling for Women’s Health

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Approximately 1% of infants are born extremely preterm and underweight and are prone to respiratory distress and subsequent morbidity. Typical treatments for respiratory distress in late preterm and term infants, such as non-invasive pressure support, are less effective in preterm infants. Invasive mechanical ventilation applied as a last resort causes trauma, leading to ventilator-induced lung injury (VILI). Maternal infection, such as chorioamnionitis, can cause prenatal and neonatal lung infection, inflammation, and often very preterm birth. Inflammation is expected to stiffen the lungs with increased resistance and lowered compliance, but exceptions occur. A complete picture of the mechanisms of stiffening remains unknown. In an attempt to elucidate this information, we applied custom parameter inference and image analysis procedures to a neonatal rat model of chorioamnionitis and VILI, incorporating subject-specific pressure-volume measurements and histology. Numerical optimizations on a nonlinear compartmental model identified key parameter differences between healthy and unhealthy groups that may suggest mechanisms of VILI in infected respiratory systems. Combined analyses of the two strategies identified new correlations between model parameters, imaging metrics, and inflammatory markers from the data, suggesting that mathematical approaches provide an important path towards understanding VILI and infection.

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Mathematical Modeling of Respiratory System Mechanics in the Newborn Lamb

Cited by 17 publications

References 42 publications

Theoretical open-loop model of respiratory mechanics in the extremely preterm infant

Theoretical open-loop model of respiratory mechanics in the extremely preterm infant

Sensitivity Analysis of a Cardiorespiratory Model for the Study of Sleep Apnea

Towards a Mathematical Understanding of Ventilator-Induced Lung Injury in Preterm Rat Pups

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