Bayesian Inference-Based Estimation of Normal Aortic, Aneurysmal and Atherosclerotic Tissue Mechanical Properties: From Material Testing, Modeling and Histology.
Gillard, Jonathan H
IEEE transactions on bio-medical engineering
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Wang, S., Tokgoz, A., Huang, Y., Zhang, Y., Feng, J., Sastry, P., Sun, C., et al. (2019). Bayesian Inference-Based Estimation of Normal Aortic, Aneurysmal and Atherosclerotic Tissue Mechanical Properties: From Material Testing, Modeling and Histology.. IEEE transactions on bio-medical engineering, 66 (8), 2269-2278. https://doi.org/10.1109/tbme.2018.2886681
Objective: Mechanical properties of healthy, aneurysmal and atherosclerotic arterial tissues are essential for assessing the risk of lesion development and rupture. Strain energy density function (SEDF) has been widely used to describe these properties, where material constants of the SEDF are traditionally determined using the ordinary least square (OLS) method. However, the material constants derived using OLS are usually dependent on initial guesses. Methods: To avoid such dependencies, Bayesian inference-based estimation was used to fit experimental stress-stretch curves of 312 tissue strips from 8 normal aortas, 19 aortic aneurysms and 21 carotid atherosclerotic plaques to determine the constants, C_1, D_1 and D_2 of the modified Mooney-Rivlin SEDF. Results: Compared with OLS, material constants varied much less with prior in the Bayesian inference-based estimation. Moreover, fitted material constants differed amongst distinct tissue types. Atherosclerotic tissues associated with the biggest D_2, an indicator of the rate of increase in stress during stretching, followed by aneurysmal tissues and those from normal aortas. Histological analyses showed that C_1 and D_2 were associated with elastin content and details of the collagen configuration, specifically, waviness and dispersion, in the structure. Conclusion: Bayesian inference-based estimation robustly determines material constants in the modified Mooney-Rivlin SEDF and these constants can reflect the inherent physiological and pathological features of the tissue structure. Significance: This study suggested a robust procedure to determine the material constants in SEDF and demonstrated that the obtained constants can be used to characterise tissues from different types of lesions, while associating with their inherent microstructures.
Aorta, Carotid Arteries, Humans, Carotid Artery Diseases, Aortic Aneurysm, Bayes Theorem, Least-Squares Analysis, Materials Testing, Models, Cardiovascular, Aged, Middle Aged, Female, Male, Atherosclerosis, Biomechanical Phenomena
China Scholarship Council NIHR Cambridge Biomedical Research Centre
Cambridge University Hospitals NHS Foundation Trust (CUH) (146281)
British Heart Foundation (PG/18/14/33562)
External DOI: https://doi.org/10.1109/tbme.2018.2886681
This record's URL: https://www.repository.cam.ac.uk/handle/1810/288400