Lung tissue mechanics as an emergent phenomenon.

The mechanical properties of lung parenchymal tissue are both elastic and dissipative, as well as being highly nonlinear. These properties cannot be fully understood, however, in terms of the individual constituents of the tissue. Rather, the mechanical behavior of lung tissue emerges as a macroscopic phenomenon from the interactions of its microscopic components in a way that is neither intuitive nor easily understood. In this review, we first consider the quasi-static mechanical behavior of lung tissue and discuss computational models that show how smooth nonlinear stress-strain behavior can arise through a percolation-like process in which the sequential recruitment of collagen fibers with increasing strain causes them to progressively take over the load-bearing role from elastin. We also show how the concept of percolation can be used to link the pathologic progression of parenchymal disease at the micro scale to physiological symptoms at the macro scale. We then examine the dynamic mechanical behavior of lung tissue, which invokes the notion of tissue resistance. Although usually modeled phenomenologically in terms of collections of springs and dashpots, lung tissue viscoelasticity again can be seen to reflect various types of complex dynamic interactions at the molecular level. Finally, we discuss the inevitability of why lung tissue mechanics need to be complex.

[1]  J C Smith,et al.  Surface forces in lungs. III. Alveolar surface tension and elastic properties of lung parenchyma. , 1986, Journal of applied physiology.

[2]  J. Bates A Micromechanical Model of Lung Tissue Rheology , 1998, Annals of Biomedical Engineering.

[3]  A. C. Young,et al.  Mechanial properties of alveolar walls. , 1968, Journal of applied physiology.

[4]  Béla Suki,et al.  Fluctuations and power laws in pulmonary physiology. , 2002, American journal of respiratory and critical care medicine.

[5]  D. Navajas,et al.  Dynamic viscoelastic nonlinearity of lung parenchymal tissue. , 1995, Journal of applied physiology.

[6]  D. Stamenović,et al.  Dynamic moduli of rabbit lung tissue and pigeon ligamentum propatagiale undergoing uniaxial cyclic loading. , 1994, Journal of applied physiology.

[7]  J. Hildebrandt Comparison of mathematical models for cat lung and viscoelastic balloon derived by Laplace transform methods from pressure-volume data. , 1969, The Bulletin of mathematical biophysics.

[8]  J. Hildebrandt,et al.  Static and dynamic properties of excised cat lung in relation to temperature. , 1974, Journal of applied physiology.

[9]  G. Liggins,et al.  Elastin and Collagen in the Fetal Sheep Lung. I. Ontogenesis , 1987, Pediatric Research.

[10]  D. Navajas,et al.  Lung tissue rheology and 1/f noise , 1994, Annals of Biomedical Engineering.

[11]  D. Westwick,et al.  Parametric and Nonparametric Nonlinear System Identification of Lung Tissue Strip Mechanics , 1999, Annals of Biomedical Engineering.

[12]  R. Ingram,et al.  Partitioning of pulmonary resistance during constriction in the dog: effects of volume history. , 1987, Journal of applied physiology.

[13]  A. Barabasi,et al.  Lung tissue viscoelasticity: a mathematical framework and its molecular basis. , 1994, Journal of applied physiology.

[14]  J. Bates,et al.  Extracellular matrix mechanics in lung parenchymal diseases , 2008, Respiratory Physiology & Neurobiology.

[15]  Béla Suki,et al.  On the progressive nature of emphysema: roles of proteases, inflammation, and mechanical forces. , 2003, American journal of respiratory and critical care medicine.

[16]  I. Setnikar [Origin and significance of the mechanical property of the lung]. , 1955, Archivio di fisiologia.

[17]  J. Yernault,et al.  Pulmonary mechanics in diffuse fibrosing alveolitis. , 1975, Bulletin de physio-pathologie respiratoire.

[18]  E. Ingenito,et al.  Effects of acute lung injury on dynamic tissue properties. , 1994, Journal of applied physiology.

[19]  Arnab Majumdar,et al.  Linking parenchymal disease progression to changes in lung mechanical function by percolation. , 2007, American journal of respiratory and critical care medicine.

[20]  J. Bates,et al.  A distributed nonlinear model of lung tissue elasticity. , 1997, Journal of applied physiology.

[21]  D. Stamenović,et al.  On the imperfect elasticity of lung tissue. , 1989, Journal of applied physiology.

[22]  G. Raghu,et al.  Idiopathic pulmonary fibrosis: current trends in management. , 2004, Clinics in chest medicine.

[23]  H. Baier,et al.  Surfactant deficiency in rats without a decreased amount of extracellular surfactant. , 1983, The Journal of clinical investigation.

[24]  I. Greaves,et al.  Elastic behavior and structure of normal and emphysematous lungs post mortem. , 2015, The American review of respiratory disease.

[25]  Robert B. Darling,et al.  Effects of low work function metals on the barrier height of sulfide‐treated n‐type GaAs(100) , 1992 .

[26]  H. Bachofen,et al.  Pressure-volume curves of air- and liquid-filled excised lungs-surface tension in situ. , 1970, Journal of applied physiology.

[27]  J. Hildebrandt,et al.  Dependence of lung hysteresis area on tidal volume, duration of ventilation, and history. , 1973, Journal of applied physiology.

[28]  M. Ludwig,et al.  Does the anatomic makeup of parenchymal lung strips affect oscillatory mechanics during induced constriction? , 1995, Journal of applied physiology.

[29]  T A Wilson,et al.  A model for mechanical structure of the alveolar duct. , 1982, Journal of applied physiology: respiratory, environmental and exercise physiology.

[30]  J. Crapo,et al.  Spatial distribution of collagen and elastin fibers in the lungs. , 1990, Journal of applied physiology.

[31]  J. Fredberg,et al.  Input impedance and peripheral inhomogeneity of dog lungs. , 1992, Journal of applied physiology.

[32]  R. Kearney,et al.  Nonparametric Block-Structured Modeling of Lung Tissue Strip Mechanics , 1998, Annals of Biomedical Engineering.

[33]  P. Roughley,et al.  Effect of glycosaminoglycan degradation on lung tissue viscoelasticity. , 2001, American journal of physiology. Lung cellular and molecular physiology.

[34]  A. Baydur Pulmonary physiology in interstitial lung disease: recent developments in diagnostic and prognostic implications , 1996, Current opinion in pulmonary medicine.

[35]  J. Hildebrandt Dynamic properties of air-filled excised cat lung determined by liquid plethysmograph. , 1969, Journal of applied physiology.

[36]  G. Snider,et al.  Emphysema: the first two centuries--and beyond. A historical overview, with suggestions for future research: Part 1. , 1992, The American review of respiratory disease.

[37]  J. Bates,et al.  A comparison of the dose-response behavior of canine airways and parenchyma. , 1989, Journal of applied physiology.

[38]  A. Moretto,et al.  Effect of elastase on oscillation mechanics of lung parenchymal strips. , 1994, Journal of applied physiology.

[39]  S. Redner,et al.  Introduction To Percolation Theory , 2018 .

[40]  Nonhomogeneity of lung response to inhaled histamine assessed with alveolar capsules. , 1985, Journal of applied physiology.

[41]  Jason H. T. Bates,et al.  Lung Mechanics: An Inverse Modeling Approach , 2009 .

[42]  Y C Fung,et al.  Microrheology and constitutive equation of soft tissue. , 1988, Biorheology.

[43]  W. Zin,et al.  Lung tissue mechanics and extracellular matrix remodeling in acute lung injury. , 2001, American journal of respiratory and critical care medicine.

[44]  J. Hildebrandt,et al.  Pressure-volume data of cat lung interpreted by a plastoelastic, linear viscoelastic model. , 1970, Journal of applied physiology.

[45]  P. Romero,et al.  A recruitment-based rheological model for mechanical behavior of soft tissues. , 1998, Biorheology.

[46]  J. Fredberg,et al.  Force heterogeneity in a two-dimensional network model of lung tissue elasticity. , 1998, Journal of applied physiology.

[47]  D. Stamenović,et al.  Biomechanics of the lung parenchyma: critical roles of collagen and mechanical forces. , 2005, Journal of applied physiology.

[48]  J C Smith,et al.  Surface forces in lungs. II. Microstructural mechanics and lung stability. , 1986, Journal of applied physiology.

[49]  J. Bates A Recruitment Model of Quasi-Linear Power-Law Stress Adaptation in Lung Tissue , 2007, Annals of Biomedical Engineering.

[50]  J. Hildebrandt,et al.  Volume history, static equilibrium, and dynamic compliance of excised cat lung. , 1972, Journal of applied physiology.

[51]  J. Fredberg,et al.  Alveolar pressure nonhomogeneity during small-amplitude high-frequency oscillation. , 1984, Journal of applied physiology: respiratory, environmental and exercise physiology.

[52]  D Stamenović,et al.  Micromechanical foundations of pulmonary elasticity. , 1990, Physiological reviews.

[53]  J. Butler,et al.  alpha-Actin: disposition, quantities, and estimated effects on lung recoil and compliance. , 2001, Journal of applied physiology.

[54]  G. Loiacono,et al.  Effect of crystal growth on Ti3+ centers in KTiOPO4 , 1994 .

[55]  W. Zin,et al.  Lung tissue mechanics and extracellular matrix composition in a murine model of silicosis. , 2001, Journal of applied physiology.

[56]  B. Suki,et al.  Dynamic properties of lung parenchyma: mechanical contributions of fiber network and interstitial cells. , 1997, Journal of applied physiology.

[57]  F. Martinez,et al.  The Clinical Course of Patients with Idiopathic Pulmonary Fibrosis , 2005, Annals of Internal Medicine.

[58]  Arnab Majumdar,et al.  Lung and alveolar wall elastic and hysteretic behavior in rats: effects of in vivo elastase treatment. , 2003, Journal of applied physiology.

[59]  R. Kamm,et al.  Biophysical characterization and modeling of lung surfactant components. , 1999, Journal of applied physiology.

[60]  R. Tanaka,et al.  Maturational changes in extracellular matrix and lung tissue mechanics. , 2001, Journal of applied physiology.

[61]  M. Sato [Mechanical properties of living tissues]. , 1986, Iyo denshi to seitai kogaku. Japanese journal of medical electronics and biological engineering.

[62]  Arnab Majumdar,et al.  Mechanical interactions between collagen and proteoglycans: implications for the stability of lung tissue. , 2005, Journal of applied physiology.

[63]  J. Hildebrandt,et al.  Dynamic compliance, limit cycles, and static equilibria of excised cat lung. , 1971, Journal of applied physiology.

[64]  J. Lyszczarz,et al.  [Mechanical properties of the lungs]. , 1971, Acta physiologica Polonica.

[65]  Y C Fung,et al.  Collagen and elastin fibers in human pulmonary alveolar walls. , 1988, Journal of applied physiology.

[66]  M. Dolhnikoff,et al.  Extracellular matrix and oscillatory mechanics of rat lung parenchyma in bleomycin-induced fibrosis. , 1999, American journal of respiratory and critical care medicine.

[67]  R. W. Little,et al.  A constitutive equation for collagen fibers. , 1972, Journal of biomechanics.

[68]  Arnab Majumdar,et al.  In silico modeling of interstitial lung mechanics: implications for disease development and repair. , 2007, Drug discovery today. Disease models.

[69]  B Suki,et al.  Effects of collagenase and elastase on the mechanical properties of lung tissue strips. , 2000, Journal of applied physiology.

[70]  E. Kimmel,et al.  Surface tension and the dodecahedron model for lung elasticity. , 1990, Journal of biomechanical engineering.

[71]  Yoram Lanir,et al.  Micro and macro rheology of planar tissues. , 2009, Biomaterials.

[72]  N. Venkatesan,et al.  Changes in extracellular matrix and tissue viscoelasticity in bleomycin-induced lung fibrosis. Temporal aspects. , 2000, American journal of respiratory and critical care medicine.

[73]  J. C. Smith,et al.  Surface forces in lungs. I. Alveolar surface tension-lung volume relationships. , 1986, Journal of applied physiology.

[74]  D. Navajas,et al.  Scaling the microrheology of living cells. , 2001, Physical review letters.