Mathematical models of passive, pressure-controlled ventilation with different resistance assumptions

Crooke, Philip S.; Hota, Sanjukta; Marini, John J.; Hotchkiss, John R.

doi:10.1016/s0895-7177(03)90021-5

Cited by 16 publications

(20 citation statements)

References 12 publications

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“…Considering that the flow condition across R P is generally unpredictable, as well as φ RES is a time varying quantity inside each single breathing, the real determination of effective R P value is not an easy task. Nevertheless, the dependence of R P on breathing time can be approximated with a bilevel (two constant levels) function representing the effective average value of R P assumed during inspiratory and expiratory time, named inspiratory (R INS ) and expiratory (R EXP ) airways resistance, respectively [19,28]. Practically, R INS and R EXP correspond to the value of R P obtained from (9) in which the average airflow values during inspiration (φ 0 INS ) and expiration (φ 0 EXP ) are considered, respectively.…”

Section: Theory Of DCV Optimizationmentioning

confidence: 99%

Advanced lung ventilation system (ALVS) with linear respiratory mechanics assumption for waveform optimization of dual-controlled ventilation

Montecchia

Guerrisi

Canichella

2007

Medical Engineering & Physics

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Section: Theory Of DCV Optimizationmentioning

confidence: 99%

Advanced lung ventilation system (ALVS) with linear respiratory mechanics assumption for waveform optimization of dual-controlled ventilation

Montecchia

Guerrisi

Canichella

2007

Medical Engineering & Physics

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“…On account of the physiopathological and clinical condition of considered patients, i.e. healthy anaesthetized or severe brain injured patients, RSS adopts a steady and linear respiratory mechanics [24]. Consequently, two basic hypothesis can be assumed on ALVS and in particular, on RSS [6].…”

Section: Methodsmentioning

confidence: 99%

“…expiratory airways resistance (R EXP ), can be both considered constant. Such physical model does not include any inductance, on account of negligible inertia of airflow as well as airways, lungs and chest tissues at very low respiratory frequencies involved [6,23,24].…”

Section: Methodsmentioning

confidence: 99%

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Harmonic excitation of linear respiratory mechanics for physiological dual controlled ventilation

Montecchia¹

2012

JBiSE

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The theoretical approach along with the rationale of harmonic excitation modality (HEM) applied as optimal dual controlled ventilation (DCV) to anaesthetized or severe brain injured patients, whose respiretory mechanics can be properly assumed steady and linear, are presented and discussed. The design criteria of an improved version of the Advanced Lung Ventilation System (ALVS), including HEM in its functional features, are described in details. In particular, the elimination of any undesiderable artificial distortion affecting the respiratory and ventilation pattern waveforms is achieved by maintaining continuous forever the airflow inside the ventilation circuit, ensuring also the highest level of safety for patient in any condition. In such a way, the full-time compatibility of controlled breathings with spontaneous breathing activity of patient during continuous positive airways pressure (CPAP) or bilevel positive airways pressure (BiPAP) ventilation modalities and during assisted/controlled ventilation(A/CV), includeing also synchronized or triggered ventilation modalities, is an intrinsic innovative feature of the system available for clinical application. As expected and according to the clinical requirements, HEM provides for physiological respiratory and ventilation pattern waveforms together with optimal "breath to breath" feedback control of lung volume driven by an improved diagnostic measurement procedure, whose outputs are also vital for adapting all the pre-set ventilation parameters to the current value of the respiratory parameters of patient. The results produced by software simulations concerning both adult and neonatal patients in different clinical conditions are completely consistent with those obtained by the theoretical treatment, showing that HEM reaches the best performances from both clinical and engineering points of view.

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“…In this section, we apply the sliding mode controller developed in Section 4 to a two‐compartment lung model. Here, we use the values for lung resistances and compliances found in . Specifically, the values of the inspiratory and expiratory resistance constants for the two‐compartment lung model are set at

K_{0, 1}^{Lin} = 2.6 cm H_{2} O / ℓ / s

K_{1, 1}^{Lin} = 4.8 cm H_{2} 0 / ℓ / s

K_{1, 2}^{Lin} = 4.8 cm H_{2} 0 / ℓ / s

K_{0, 1}^{Nin} = 19.4 cm H_{2} 0 / ℓ^{2} / s^{2}

K_{1, 1}^{Nin} = 22.1 cm H_{2} 0 / ℓ^{2} / s^{2}

K_{1, 2}^{Nin} = 22.1 cm H_{2} 0 / ℓ^{2} / s^{2}

K_{j, k}^{Lex} = 2 K_{j, k}^{Lin}

, and

K_{j, k}^{Nex} = 2 K_{j, k}^{Nin}

, j = 0,1, k = 1,…,2 j .…”

Section: Illustrative Numerical Examplesmentioning

confidence: 99%

Adaptive sliding mode control for a general nonlinear multicompartment lung model with input pressure and rate saturation constraints

Hou

Meskin

Haddad

2015

Intl J Robust & Nonlinear

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Summary In this article, we develop an output feedback adaptive sliding mode controller for a general multicompartment lung mechanics model with nonlinear resistance and compliance respiratory parameters. Specifically, for a given clinically plausible reference volume pattern, we develop an adaptive sliding mode controller that accounts for input pressure and rate saturation constraints to automatically adjust the applied input pressure by the mechanical ventilator so that the total lung volume tracks the given reference pattern. The pressure due to lung muscle activity is also considered in the controller design. A Lyapunov‐based approach is presented to show convergence of the closed‐loop system, and the proposed control framework is applied to a two‐compartment lung model to show the efficacy of the proposed control method. Copyright © 2015 John Wiley & Sons, Ltd.

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Mathematical models of passive, pressure-controlled ventilation with different resistance assumptions

Cited by 16 publications

References 12 publications

Advanced lung ventilation system (ALVS) with linear respiratory mechanics assumption for waveform optimization of dual-controlled ventilation

Advanced lung ventilation system (ALVS) with linear respiratory mechanics assumption for waveform optimization of dual-controlled ventilation

Harmonic excitation of linear respiratory mechanics for physiological dual controlled ventilation

Adaptive sliding mode control for a general nonlinear multicompartment lung model with input pressure and rate saturation constraints

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