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Classical homogenization theory based on the Hashin-Shtrikman coated ellipsoids is used to model the changes in the complex valued conductivity (or admittivity) of a lung during tidal breathing. Here, the lung is modeled as a two-phase…

Topological structure of bronchial trees affects transport of gases and aerosols in the respiratory system. We start by providing a quantitative assessment of the ability of the alternative tree representations to predict observable…

Medical Physics · Physics 2021-11-16 Ali Saab , Leila Issa , Salah Zeineddine , Daniel M. Tartakovsky , Issam Lakkis

The need to understand how infection spreads to the deep lung was acutely realized during the Severe Acute Respiratory Syndrome Coronavirus-2 (SARS-CoV-2) pandemic. The challenge of modeling virus laden aerosol transport and deposition in…

Increasingly, experimentalists and modellers alike have come to recognise the important role of spatial structure in infection dynamics. Almost invariably, spatial computational models of viral infections - as with in vitro experimental…

Quantitative Methods · Quantitative Biology 2025-04-11 Thomas Williams , James M. McCaw , James M. Osborne

Branching morphogenesis generates epithelial trees which facilitate gas exchange, filtering, as well as secretion processes with their large surface to volume ratio. In this review, we focus on the developmental mechanisms that control the…

Tissues and Organs · Quantitative Biology 2020-12-23 Dagmar Iber

Pulmonary hypertension is a cardiovascular disorder manifested by elevated arterial blood pressure together with vessel wall stiffening and thickening due to alterations in collagen, elastin and smooth muscle cells. Hypoxia-induced (type 3)…

Tissues and Organs · Quantitative Biology 2022-02-28 Mansoor A. Haider , Katherine J. Pearce , Naomi C. Chesler , Nicholas A. Hill , Mette S. Olufsen

One mechanism for airway closure in the lung is the surface-tension-driven instability of the mucus layer which lines the airway wall. We study the instability of an axisymmetric layer of viscoplastic Bingham liquid coating the interior of…

Fluid Dynamics · Physics 2022-10-24 James Shemilt , Alexander Horsley , Oliver Jensen , Alice Thompson , Carl Whitfield

Many organs of higher organisms, such as the vascular system, lung, kidney, pancreas, liver and glands, are heavily branched structures. The branching process during lung development has been studied in great detail and is remarkably…

Tissues and Organs · Quantitative Biology 2012-03-08 Denis Menshykau , Conradin Kraemer , Dagmar Iber

Airway clearance by coughing is a key mechanism for mucus transport, particularly in obstructive lung diseases associated with altered mucus rheology. We investigate the dynamics of a viscoplastic liquid film driven by flow in a turbulent…

Fluid Dynamics · Physics 2025-10-27 James D. Shemilt , Neil J. Balmforth , Duncan R. Hewitt

During the progression of pulmonary fibrosis, initially isolated regions of high stiffness form and grow in the lung tissue due to collagen deposition by fibroblast cells. We have previously shown that ongoing collagen deposition may not…

Biological Physics · Physics 2014-07-15 Cláudio L. N. Oliveira , Jason H. T. Bates , Béla Suki

We develop a mathematical model of the lung that can estimate independently the air flows and pressures in the upper bronchi. It accounts for the lung multi-scale properties and for the air-tissue interactions. The model equations are…

Tissues and Organs · Quantitative Biology 2025-01-27 Riccardo Di Dio , Michaël Brunengo , Benjamin Mauroy

The dynamics of a system composed of elastic hard particles confined by an isotropic harmonic potential are studied. In the low-density limit, the Boltzmann equation provides an excellent description, and the system does not reach…

Statistical Mechanics · Physics 2024-09-13 P. Maynar , M. I. García de Soria , D. Guéry-Odelin , E. Trizac

Esophageal transport is a physiological process that mechanically transports an ingested food bolus from the pharynx to the stomach via the esophagus, a multi-layered muscular tube. This process involves interactions between the bolus, the…

We examine the fundamental fluid dynamical mechanisms dictating the generation of bioaerosols in the human trachea during intense respiratory events such as coughing and sneezing, with an emphasis on the role played by the mucosalivary…

Fluid Dynamics · Physics 2025-05-26 Mogeng Li , Youssef Saade , Stéphane Zaleski , Uddalok Sen , Pallav Kant , Detlef Lohse

In this paper, we derive an effective model for transport processes in periodically perforated elastic media, taking into account, e.g., cyclic elastic deformations as they occur in lung tissue due to respiratory movement. The underlying…

Analysis of PDEs · Mathematics 2022-06-15 Jonas Knoch , Markus Gahn , Maria Neuss-Radu , Nicolas Neuß

Airway constriction and blockage in obstructive lung diseases cause ventilation heterogeneity and create barriers to effective drug deposition. Established computational particle-deposition models have not accounted for these impacts of…

Tissues and Organs · Quantitative Biology 2024-10-17 James D. Shemilt , Alex Horsley , Jim M. Wild , Oliver E. Jensen , Alice B. Thompson , Carl A. Whitfield

Respiratory ailments are increasing globally at an alarming rate and are currently one of the leading factors of death and infirmity worldwide. Among respiratory diseases, those linked to poor air quality and pollutants are increasing at a…

Quantitative Methods · Quantitative Biology 2025-12-03 Shelby Lacouture , Mitchell Kelley , Noah Plues , Laszlo Hunyadi , Emily Sundman , Annette Sobel , Robert V. Duncan

The tracheal flow field shapes particle transport into the lower airways and thus influences both the spread of inhaled pathogens and the effectiveness of aerosol-based therapies. Identifying how different inhalation routes modify the flow…

Fluid Dynamics · Physics 2026-02-18 Benedikt H. Johanning-Meiners , Luca Mayolle , Dominik Krug , Michael Klaas

We propose and analyse the properties of a new class of models for the electromechanics of cardiac tissue. The set of governing equations consists of nonlinear elasticity using a viscoelastic and orthotropic exponential constitutive law…

Numerical Analysis · Mathematics 2022-04-08 Adrienne Propp , Alessio Gizzi , Francesc Levrero-Florencio , Ricardo Ruiz-Baier

We propose a three dimensional mechanical model of embryonic tissue dynamics. Mechanically coupled adherent cells are represented as particles interconnected with elastic beams which can exert non-central forces and torques. Tissue…

Biological Physics · Physics 2015-06-22 Andras Czirok , Dona Greta Isai