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The complexity of mathematical models describing respiratory mechanics has grown in recent years, however, parameter identifiability of such models has only been studied in the last decade in the context of observable data. This study…

Tissues and Organs · Quantitative Biology 2025-01-16 Richard R. Foster , Laura Ellwein Fix

This work presents an algorithm for determining the parameters of a nonlinear dynamic model of the respiratory system in patients undergoing assisted ventilation. Using the pressure and flow signals measured at the mouth, the model's…

Systems and Control · Electrical Eng. & Systems 2024-03-01 Diego A. Riva , Carolina A. Evangelista , Paul F. Puleston , Luis Corsiglia , Nahuel Dargains

Subject-specific modeling is a powerful tool in cardiovascular research, providing insights beyond the reach of current clinical diagnostics. Limitations in available clinical data require the incorporation of uncertainty into models to…

Applications · Statistics 2025-07-16 Amirreza Kachabi , Sofia Altieri Correa , Naomi C. Chesler , Mitchel J. Colebank

This study performs parameter inference in a partial differential equations system of pulmonary circulation. We use a fluid dynamics network model that takes selected parameter values and mimics the behaviour of the pulmonary haemodynamics…

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…

Tissues and Organs · Quantitative Biology 2018-07-04 Laura Ellwein Fix , Joseph Khoury , Russell Moores , Lauren Linkous , Matthew Brandes , Henry J. Rozycki

Pulmonary hypertension (PH), defined by a mean pulmonary arterial pressure (mPAP) $>$ 20 mmHg, is characterized by increased pulmonary vascular resistance and decreased pulmonary arterial compliance. There are few measurable biomarkers of…

Quantitative Methods · Quantitative Biology 2025-06-06 Amanda L. Colunga , Mitchel J. Colebank , REU Program , Mette S. Olufsen

Usually, clinicians assess the correct hemodynamic behavior and fetal well-being during the gestational age thanks to their professional expertise, with the support of some indices defined for Doppler fetal waveforms. Although this approach…

Computational cardiovascular models are promising tools for clinical decision support, particularly in complex conditions, such as intraoperative hypotension (IOH). IOH arises from different mechanisms, making treatment selection…

Medical Physics · Physics 2025-09-19 Jan-Niklas Thiel , Marko Zlicar , Ulrich Steinseifer , Borut Kirn , Michael Neidlin

Computational inverse problems for biomedical simulators suffer from limited data and relatively high parameter dimensionality. This often requires sensitivity analysis, where parameters of the model are ranked based on their influence on…

Tissues and Organs · Quantitative Biology 2025-06-06 Mitchel J. Colebank

Bio-mechanical breast simulations are based on a gravity free geometry as a reference domain and a nonlinear mechanical model parameterised by physical coefficients. As opposed to complex models proposed in the literature based on medical…

Medical Physics · Physics 2019-07-16 Diogo Lopes , Stéphane Clain , António Ramires Fernandes

Computational hemodynamics models are becoming increasingly useful in the management and prognosis of complex, multiscale pathologies, including those attributed to the development of pulmonary vascular disease. However, diseases like…

Tissues and Organs · Quantitative Biology 2025-06-06 Mitchel J. Colebank , Naomi C. Chesler

We present a new approach for physics-based computational modeling of diseased human lungs. Our main object is the development of a model that takes the novel step of incorporating the dynamics of airway recruitment/de-recruitment into an…

Computational Engineering, Finance, and Science · Computer Science 2023-05-10 Carolin M. Geitner , Tobias Becher , Inéz Frerichs , Norbert Weiler , Jason H. T. Bates , Wolfgang A. Wall

We study parameter estimation for the two state model which describes the balance equation for carbon dioxide and oxygen in human respiratory system. These are nonlinear parameter dependent and because of the transport delay in the…

Dynamical Systems · Mathematics 2022-07-18 Nirjal Sapkota , Janos Turi

Respiratory airflow signals provide critical insight into breathing mechanics, yet conventional analysis methods remain limited in their ability to characterize the internal structure of individual breaths. Traditional approaches treat…

Signal Processing · Electrical Eng. & Systems 2026-04-27 Victoria Ribeiro Rodrigues , Paul W. Davenport , Nicholas J. Napoli

Respiration is a critical vital sign for infants, and continuous respiratory monitoring is particularly important for newborns. However, neonates are sensitive and contact-based sensors present challenges in comfort, hygiene, and skin…

Image and Video Processing · Electrical Eng. & Systems 2023-07-26 Sai Kumar Reddy Manne , Shaotong Zhu , Sarah Ostadabbas , Michael Wan

Experimental designs based on the classical D-optimal criterion minimize the volume of the linear-approximation inference regions for the parameters using local sensitivity coefficients. For nonlinear models, these designs can be unreliable…

Methodology · Statistics 2021-01-22 Hana Sulieman

This study uses a one dimensional fluid dynamics arterial network model to infer changes in hemodynamic quantities associated with pulmonary hypertension in mice. Data for this study include blood flow and pressure measurements from the…

Non-invasive estimation of respiratory physiology using computational algorithms promises to be a valuable technique for future clinicians to detect detrimental changes in patient pathophysiology. However, few clinical algorithms used to…

Quantitative Methods · Quantitative Biology 2021-09-22 Gregory Rehm , Jimmy Nguyen , Chelsea Gilbeau , Marc T Bomactao , Chen-Nee Chuah , Jason Adams

Extremely preterm infants commonly require intubation and invasive mechanical ventilation after birth. While the duration of mechanical ventilation should be minimized in order to avoid complications, extubation failure is associated with…

The choice of lung protective ventilation settings for mechanical ventilation has a considerable impact on patient outcome, yet identifying optimal ventilatory settings for individual patients remains highly challenging due to the inherent…

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