Nonlinear mechanical property of tracheal cartilage: A theoretical and experimental study

Zhang, Teng; Ochoa, Ignacio; Li, Zhiyong; Lin, Yan; Rodrı́guez, José F.; Bea, José Antonio; Doblaré, M.

doi:10.1016/j.jbiomech.2008.03.032

Cited by 30 publications

(34 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This simulates the real non-linear behaviour of the material. The indication of higher stiffness in compression than in tension agrees with findings in other studies (Teng et al, 2008;Teng et al, 2009a;Teng et al, 2009b). More appropriate material models for cartilage are a current area of research.…”

Section: Discussionsupporting

confidence: 88%

“…The two material constants required for this constitutive model were obtained using an integrated mathematical optimisation, FE simulation and experimental testing methodology (Murphy et al, 2010). Poisson's ratio, a measure of incompressibility, was assigned a value of 0.49, which correlates well with values cited in other studies (Teng et al, 2008;Teng et al, 2009a;Teng et al, 2009b;Trabelsi et al, 2010).…”

Section: Materials Behavioursupporting

confidence: 77%

“…In the past tracheal cartilage has also been treated as a linear elastic material in studies using three dimensional FE analyses (Begis et al, 1988;Costantino et al, 2004) and mathematical models based on thin curved beam theory (Lambert et al, 1991) and on the physics of a shell (Holzhäuser and Lambert, 2001). Additionally, linear elastic properties have been assumed in experimental material studies (Rains et al, 1992;Cozzi et al, 2005) as has hyper-elasticity (Teng et al, 2008;Teng et al, 2009a;Teng et al, 2009b;Trabelsi et al, 2010). The results from our material testing show that the load-displacement history is approximately linear during loading (Fig.3).…”

Section: Discussionmentioning

confidence: 93%

“…Collagen type II, which is one of the primary constituents of tracheal cartilage, has been shown to be a highly non-linear material (Sun et al, 2004). It is, therefore, rational to expect that tracheal cartilage should also exhibit non-linear behaviour, and this has been suggested in studies using mathematical models based on simple beam bending theory (Teng et al, 2008;Teng et al, 2009a;Teng et al, 2009b). In the past tracheal cartilage has also been treated as a linear elastic material in studies using three dimensional FE analyses (Begis et al, 1988;Costantino et al, 2004) and mathematical models based on thin curved beam theory (Lambert et al, 1991) and on the physics of a shell (Holzhäuser and Lambert, 2001).…”

Section: Discussionmentioning

confidence: 99%

See 3 more Smart Citations

Shape and material characteristics of the trachea in the leatherback sea turtle promote progressive collapse and reinflation during dives

Murphy

Kelliher

Davenport

2012

Journal of Experimental Biology

View full text Add to dashboard Cite

SUMMARYThe leatherback turtle regularly undertakes deep dives and has been recorded attaining depths in excess of 1200m. Its trachea is an almost solid, elliptical-section tube of uncalcified hyaline cartilage with minimal connective tissue between successive rings. The structure appears to be advantageous for diving and perfectly designed for withstanding repeated collapse and reinflation. This study applies Boyleʼs law to the respiratory system (lungs, trachea and larynx) and estimates the changes in tracheal volume during a dive. These changes are subsequently compared with the results predicted by a corresponding finite element (FE) structural model, itself based on laboratory studies of the trachea of an adult turtle. Boyleʼs law predicts that the lungs will collapse first during the initial stages of a dive with tracheal compression beginning at much deeper depths after complete air mass expulsion from the lungs. The FE model reproduces the changes extremely well (agreeing closely with Boyleʼs law estimations) and provides visual representation of the deformed tracheal luminal area. Initially, the trachea compresses both ventrally and dorsally before levelling ventrally. Bulges are subsequently formed laterally and become more pronounced at deeper depths. The geometric configuration of the tracheal structure confers both homogeneity and strength upon it, which makes it extremely well suited for enduring repeated collapse and re-expansion. The structure actually promotes collapse and is an adaptation to the turtleʼs natural environment in which large numbers of deep dives are performed annually.

show abstract

Section: Discussionsupporting

confidence: 88%

Section: Materials Behavioursupporting

confidence: 77%

Section: Discussionmentioning

confidence: 93%

Section: Discussionmentioning

confidence: 99%

See 2 more Smart Citations

Shape and material characteristics of the trachea in the leatherback sea turtle promote progressive collapse and reinflation during dives

Murphy

Kelliher

Davenport

2012

Journal of Experimental Biology

View full text Add to dashboard Cite

show abstract

“…21 It has been demonstrated that collagen is a highly nonlinear molecular 22 ; therefore, like many other fiberreinforced biological tissues, such as artery, skin, etc., tracheal cartilage is also a nonlinear material. This has been shown recently by Teng et al 28 However, tracheal cartilage was widely treated as a linear elastic material in the past, in experimental studies, 12,20 in computational simulations, 3,5 and analytic 10,31 approaches.…”

Section: Introductionmentioning

confidence: 81%

Study on Tracheal Collapsibility, Compliance, and Stress by Considering Nonlinear Mechanical Property of Cartilage

Zhang

Ochoa

et al. 2009

Ann Biomed Eng

Self Cite

View full text Add to dashboard Cite

Tracheal cartilage has been widely regarded as a linear elastic material either in experimental studies or in analytic and numerical models. However, it has been recently demonstrated that, like other fiber-oriented biological tissues, tracheal cartilage is a nonlinear material, which displays higher strength in compression than in extension. Considering the nonlinearity requires a more complex theoretical frame work and costs more to simulate. This study aims to quantify the deviation due to the simplified treatment of the tracheal cartilage as a linear material. It also evaluates the improved accuracy gained by considering the nonlinearity. Pig tracheal rings were used to exam the mechanical properties of cartilage and muscular membrane. By taking into account the asymmetric shape of tracheal cartilage, the collapse behavior of complete rings was simulated, and the compliance of airway and stress in the muscular membrane were discussed. The results obtained were compared with those assuming linear mechanical properties. The following results were found: (1) Models based on both types of material properties give a small difference in representing collapse behavior; (2) regarding compliance, the relative difference is big, ranging from 10 to 40% under negative pressure conditions; and (3) the difference in determining stress in the muscular membrane is small too: <5%. In conclusion, treating tracheal cartilage as a linear material will not cause big deviations in representing the collapse behavior, and mechanical stress in the muscular part, but it will induce a big deviation in predicting the compliance, particularly when the transmural pressure is lower than -0.5 kPa. The results obtained in this study may be useful in both understanding the collapse behavior of trachea and in evaluating the error induced by the simplification of treating the tracheal cartilage as a linear elastic material.

show abstract

Characterization of a biologically derived rabbit tracheal scaffold

Lange

Shah

Birchall

et al. 2016

J. Biomed. Mater. Res.

View full text Add to dashboard Cite

There is a clinical need to provide replacement tracheal tissue for the pediatric population affected by congenital defects, as current surgical solutions are not universally applicable. A potential solution is to use tissue engineered scaffold as the framework for regenerating autologous tissue. Rabbit trachea were used and different detergents (Triton x-100 and sodium deoxycholate) and enzymes (DNAse/RNAse) investigated to create a decellularization protocol. Each reagent was initially tested individually and the outcome used to design a combined protocol. At each stage the resultant scaffold was assessed histologically, molecularly for acellularity and matrix preservation. Immunogenicity of the final scaffold was assessed by implantation into a rat model for 4 weeks. Both enzymes and detergents were required to produce a completely acellular (DNA content 42.78 ng/mg) scaffold with preserved collagen and elastin however, GAG content were reduced (8.78 ± 1.35 vs. 5.5 ± 4.8). Following in vivo implantation the scaffold elicited minimal immune response and showed significant cellular infiltration and vasculogenesis. The luminal aspect of the implanted scaffold showed infiltration of host derived cells, which were positive for pan cytokeratin. It is possible to create biologically derived biocompatible scaffolds to address specific pediatric clinical problems. © 2016 Wiley Periodicals, Inc. J Biomed Mater Res Part B: Appl Biomater, 105B: 2126-2135, 2017.

show abstract

Nonlinear mechanical property of tracheal cartilage: A theoretical and experimental study

Cited by 30 publications

References 18 publications

Shape and material characteristics of the trachea in the leatherback sea turtle promote progressive collapse and reinflation during dives

Shape and material characteristics of the trachea in the leatherback sea turtle promote progressive collapse and reinflation during dives

Study on Tracheal Collapsibility, Compliance, and Stress by Considering Nonlinear Mechanical Property of Cartilage

Characterization of a biologically derived rabbit tracheal scaffold

Contact Info

Product

Resources

About