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Morodomi S, Ito K, Maegawa S, Ujihara Y, Sugita S, Nakamura M. Empirical estimation of Young's modulus for biological tissue mimics using acoustic impedance measurements: A study on agar gel tissue phantoms. PLoS One 2025; 20:e0320705. [PMID: 40228196 PMCID: PMC11996209 DOI: 10.1371/journal.pone.0320705] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/14/2024] [Accepted: 02/23/2025] [Indexed: 04/16/2025] Open
Abstract
The mechanical properties of biological tissues are significant biomarkers for diagnosing various diseases. The aim of this study was to develop an empirical formula to estimate Young's modulus from the acoustic impedance measured by scanning acoustic microscopy. Agar, a material with mechanical properties similar to those of biological tissues, was prepared at concentrations ranging from 5% to 20%. The acoustic impedance was measured by scanning acoustic microscopy, and Young's modulus was determined via indentation testing. The results showed that both the acoustic impedance and Young's modulus increased with agar concentration. Theoretical models did not accurately describe the relationship between the acoustic impedance Z and Young's modulus E; however, the empirical formula [Formula: see text] (with E in Pa and Z in Ns/[Formula: see text]) provided a better fit. This formula could potentially be used to estimate Young's modulus for biological tissues, aiding in the realistic analysis of stress fields and understanding the etiology of various diseases.
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Affiliation(s)
- Shinri Morodomi
- Department of Electrical and Mechanical Engineering, Graduate School of Engineering, Nagoya Institute of Technology, Aichi, Japan
| | - Kazushi Ito
- Department of Electrical and Mechanical Engineering, Graduate School of Engineering, Nagoya Institute of Technology, Aichi, Japan
| | - Satoru Maegawa
- Department of Electrical and Mechanical Engineering, Graduate School of Engineering, Nagoya Institute of Technology, Aichi, Japan
| | - Yoshihiro Ujihara
- Department of Electrical and Mechanical Engineering, Graduate School of Engineering, Nagoya Institute of Technology, Aichi, Japan
| | - Shukei Sugita
- Department of Electrical and Mechanical Engineering, Graduate School of Engineering, Nagoya Institute of Technology, Aichi, Japan
| | - Masanori Nakamura
- Department of Electrical and Mechanical Engineering, Graduate School of Engineering, Nagoya Institute of Technology, Aichi, Japan
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Sugita S, Kawai R, Ujihara Y, Nakamura M. Stress fiber strain is zero in normal aortic smooth muscle, elevated in hypertensive stretch, and minimal in wall thickening rats. Sci Rep 2024; 14:29731. [PMID: 39613822 PMCID: PMC11606938 DOI: 10.1038/s41598-024-81229-w] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/15/2024] [Accepted: 11/25/2024] [Indexed: 12/01/2024] Open
Abstract
Hypertension causes aortic wall thickening until the original wall stress is restored. We hypothesized that this regulation involves stress fiber (SF) tension transmission to the nucleus in smooth muscle cells (SMCs) and investigated the strain in the SF direction as a condition required for this transmission. Thoracic aortas from Wistar Kyoto (WKY) and spontaneously hypertensive rats (SHRs) were examined. SFs in aortic SMCs were fluorescently labeled and observed under a confocal microscope while stretched along the circumferential (θ) axis. Three conditions were studied: WKY physiological (WKYphys; blood pressure changes from diastolic to systolic for WKY), high-strain state (WKYhigh; diastolic to hypertensive level for WKY simulating initial hypertension), and SHR physiological (SHRphys; diastolic to systolic for SHR simulating after wall-thickening). SF strain and direction were measured. The SF inclination angle from the θ axis was 18° ± 3° in WKYphys, 13° ± 2° in WKYhigh, and 20° ± 1° in SHRphys. SF strain was 0.01 ± 0.02 in WKYphys, 0.20 ± 0.04 in WKYhigh, and 0.02 ± 0.02 SHRphys. SF strain was minimal in WKYphys, significantly increased in WKYhigh, and reduced to approximately zero in SHRphys. These findings support SFs function as mechanosensors in response to hypertension.
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Affiliation(s)
- Shukei Sugita
- Department of Electrical and Mechanical Engineering, Nagoya Institute of Technology, Gokiso-Cho, Showa-Ku, Nagoya, 466-8555, Japan.
- Center of Biomedical Physics and Information Technology, Nagoya Institute of Technology, Gokiso-Cho, Showa-Ku, Nagoya, Japan.
| | - Rintaro Kawai
- Department of Electrical and Mechanical Engineering, Nagoya Institute of Technology, Gokiso-Cho, Showa-Ku, Nagoya, 466-8555, Japan
| | - Yoshihiro Ujihara
- Department of Electrical and Mechanical Engineering, Nagoya Institute of Technology, Gokiso-Cho, Showa-Ku, Nagoya, 466-8555, Japan
| | - Masanori Nakamura
- Department of Electrical and Mechanical Engineering, Nagoya Institute of Technology, Gokiso-Cho, Showa-Ku, Nagoya, 466-8555, Japan
- Center of Biomedical Physics and Information Technology, Nagoya Institute of Technology, Gokiso-Cho, Showa-Ku, Nagoya, Japan
- Department of Nanopharmaceutical Sciences, Nagoya Institute of Technology, Gokiso-Cho, Showa-Ku, Nagoya, Japan
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Sherifova S, Holzapfel GA. Biomechanics of aortic wall failure with a focus on dissection and aneurysm: A review. Acta Biomater 2019; 99:1-17. [PMID: 31419563 PMCID: PMC6851434 DOI: 10.1016/j.actbio.2019.08.017] [Citation(s) in RCA: 96] [Impact Index Per Article: 16.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/20/2019] [Revised: 08/05/2019] [Accepted: 08/08/2019] [Indexed: 12/12/2022]
Abstract
Aortic dissections and aortic aneurysms are fatal events characterized by structural changes to the aortic wall. The maximum diameter criterion, typically used for aneurysm rupture risk estimations, has been challenged by more sophisticated biomechanically motivated models in the past. Although these models are very helpful for the clinicians in decision-making, they do not attempt to capture material failure. Following a short overview of the microstructure of the aorta, we analyze the failure mechanisms involved in the dissection and rupture by considering also traumatic rupture. We continue with a literature review of experimental studies relevant to quantify tissue strength. More specifically, we summarize more extensively uniaxial tensile, bulge inflation and peeling tests, and we also specify trouser, direct tension and in-plane shear tests. Finally we analyze biomechanically motivated models to predict rupture risk. Based on the findings of the reviewed studies and the rather large variations in tissue strength, we propose that an appropriate material failure criterion for aortic tissues should also reflect the microstructure in order to be effective. STATEMENT OF SIGNIFICANCE: Aortic dissections and aortic aneurysms are fatal events characterized by structural changes to the aortic wall. Despite the advances in medical, biomedical and biomechanical research, the mortality rates of aneurysms and dissections remain high. The present review article summarizes experimental studies that quantify the aortic wall strength and it discusses biomechanically motivated models to predict rupture risk. We identified contradictory observations and a large variation within and between data sets, which may be due to biological variations, different sample sizes, differences in experimental protocols, etc. Based on the findings of the reviewed literature and the rather large variations in tissue strength, it is proposed that an appropriate criterion for aortic failure should also reflect the microstructure.
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Affiliation(s)
- Selda Sherifova
- Institute of Biomechanics, Graz University of Technology, Stremayrgasse 16/2, 8010 Graz, Austria
| | - Gerhard A Holzapfel
- Institute of Biomechanics, Graz University of Technology, Stremayrgasse 16/2, 8010 Graz, Austria; Department of Structural Engineering, Norwegian Institute of Science and Technology (NTNU), 7491 Trondheim, Norway.
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Ahmadzadeh H, Rausch MK, Humphrey JD. Modeling lamellar disruption within the aortic wall using a particle-based approach. Sci Rep 2019; 9:15320. [PMID: 31653875 PMCID: PMC6814784 DOI: 10.1038/s41598-019-51558-2] [Citation(s) in RCA: 15] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/11/2019] [Accepted: 10/03/2019] [Indexed: 12/20/2022] Open
Abstract
Aortic dissections associate with medial degeneration, thus suggesting a need to understand better the biophysical interactions between the cells and matrix that constitute the middle layer of the aortic wall. Here, we use a recently extended "Smoothed Particle Hydrodynamics" formulation to examine potential mechanisms of aortic delamination arising from smooth muscle cell (SMC) dysfunction or apoptosis, degradation of or damage to elastic fibers, and pooling of glycosaminoglycans (GAGs), with associated losses of medial collagen in the region of the GAGs. First, we develop a baseline multi-layered model for the healthy aorta that delineates medial elastic lamellae and intra-lamellar constituents. Next, we examine stress fields resulting from the disruption of individual elastic lamellae, lost SMC contractility, and GAG production within an intra-lamellar space, focusing on the radial transferal of loading rather than on stresses at the tip of the delaminated tissue. Results suggest that local disruptions of elastic lamellae transfer excessive loads to nearby intra-lamellar constituents, which increases cellular vulnerability to dysfunction or death. Similarly, lost SMC function and accumulations of GAGs increase mechanical stress on nearby elastic lamellae, thereby increasing the chance of disruption. Overall these results suggest a positive feedback loop between lamellar disruption and cellular dropout with GAG production and lost medial collagen that is more pronounced at higher distending pressures. Independent of the initiating event, this feedback loop can catastrophically propagate intramural delamination.
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Affiliation(s)
- H Ahmadzadeh
- Department of Biomedical Engineering, Yale University, New Haven, CT, USA
| | - M K Rausch
- Department of Aerospace Engineering and Engineering Mechanics, Department of Biomedical Engineering, University of Texas at Austin, Austin, TX, USA
| | - J D Humphrey
- Department of Biomedical Engineering, Yale University, New Haven, CT, USA.
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Local distribution of collagen fibers determines crack initiation site and its propagation direction during aortic rupture. Biomech Model Mechanobiol 2017; 17:577-587. [DOI: 10.1007/s10237-017-0979-2] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/12/2017] [Accepted: 10/31/2017] [Indexed: 12/29/2022]
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de Gelidi S, Tozzi G, Bucchi A. The effect of thickness measurement on numerical arterial models. MATERIALS SCIENCE & ENGINEERING. C, MATERIALS FOR BIOLOGICAL APPLICATIONS 2017; 76:1205-1215. [DOI: 10.1016/j.msec.2017.02.123] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/24/2016] [Revised: 02/03/2017] [Accepted: 02/24/2017] [Indexed: 10/20/2022]
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Age-related distensibility and histology of the ascending aorta in elderly patients with acute aortic dissection. J Biomech 2015; 48:3267-73. [DOI: 10.1016/j.jbiomech.2015.06.025] [Citation(s) in RCA: 25] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/27/2014] [Revised: 06/18/2015] [Accepted: 06/21/2015] [Indexed: 11/22/2022]
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Kohn JC, Lampi MC, Reinhart-King CA. Age-related vascular stiffening: causes and consequences. Front Genet 2015; 6:112. [PMID: 25926844 PMCID: PMC4396535 DOI: 10.3389/fgene.2015.00112] [Citation(s) in RCA: 261] [Impact Index Per Article: 26.1] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/30/2014] [Accepted: 03/03/2015] [Indexed: 01/18/2023] Open
Abstract
Arterial stiffening occurs with age and is closely associated with the progression of cardiovascular disease. Stiffening is most often studied at the level of the whole vessel because increased stiffness of the large arteries can impose increased strain on the heart leading to heart failure. Interestingly, however, recent evidence suggests that the impact of increased vessel stiffening extends beyond the tissue scale and can also have deleterious microscale effects on cellular function. Altered extracellular matrix (ECM) architecture has been recognized as a key component of the pre-atherogenic state. Here, the underlying causes of age-related vessel stiffening are discussed, focusing on age-related crosslinking of the ECM proteins as well as through increased matrix deposition. Methods to measure vessel stiffening at both the macro- and microscale are described, spanning from the pulse wave velocity measurements performed clinically to microscale measurements performed largely in research laboratories. Additionally, recent work investigating how arterial stiffness and the changes in the ECM associated with stiffening contributed to endothelial dysfunction will be reviewed. We will highlight how changes in ECM protein composition contribute to atherosclerosis in the vessel wall. Lastly, we will discuss very recent work that demonstrates endothelial cells (ECs) are mechano-sensitive to arterial stiffening, where changes in stiffness can directly impact EC health. Overall, recent studies suggest that stiffening is an important clinical target not only because of potential deleterious effects on the heart but also because it promotes cellular level dysfunction in the vessel wall, contributing to a pathological atherosclerotic state.
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Affiliation(s)
- Julie C Kohn
- Department of Biomedical Engineering, Cornell University Ithaca, NY, USA
| | - Marsha C Lampi
- Department of Biomedical Engineering, Cornell University Ithaca, NY, USA
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Avanzini A, Battini D, Bagozzi L, Bisleri G. Biomechanical evaluation of ascending aortic aneurysms. BIOMED RESEARCH INTERNATIONAL 2014; 2014:820385. [PMID: 24991568 PMCID: PMC4065659 DOI: 10.1155/2014/820385] [Citation(s) in RCA: 22] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 02/28/2014] [Accepted: 04/21/2014] [Indexed: 11/27/2022]
Abstract
The biomechanical properties of ascending aortic aneurysms were investigated only in the last decade in a limited number of studies. Indeed, in recent years, there has been a growing interest in this field in order to identify new predictive parameters of risk of dissection, which may have clinical relevance. The researches performed so far have been conducted according to the methods used in the study of abdominal aortic aneurysms. In most cases, uniaxial or biaxial tensile tests were used, while in a smaller number of studies other methods, such as opening angle, bulge inflation, and inflation-extension tests, were used. However, parameters and protocols of these tests are at present very heterogeneous in the studies reported in the literature, and, therefore, the results are not comparable and are sometimes conflicting. The purpose of this review then thence to provide a comprehensive analysis of the experimental methodology for determination of biomechanical properties in the specific field of aneurysms of the ascending aorta to allow for better comparison and understanding of the results.
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Affiliation(s)
- Andrea Avanzini
- Department of Industrial and Mechanical Engineering, University of Brescia, Via Branze 38, 25123 Brescia, Italy
| | - Davide Battini
- Department of Industrial and Mechanical Engineering, University of Brescia, Via Branze 38, 25123 Brescia, Italy
| | - Lorenzo Bagozzi
- Division of Cardiac Surgery, University of Brescia, P.le Spedali Civili 1, 25123 Brescia, Italy
| | - Gianluigi Bisleri
- Division of Cardiac Surgery, University of Brescia, P.le Spedali Civili 1, 25123 Brescia, Italy
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