Journal
IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING
Volume 56, Issue 2, Pages 210-219Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TBME.2008.2003093
Keywords
Arterial wall properties; data analysis; mathematical modeling; mechanics; parameter estimation; viscoelasticity
Categories
Funding
- National Science Foundation (NSF) [DMS0616597]
- U.S. Air Force Office of Scientific Research [FA9550-04-1-0220]
- Undergraduate Research Office at North Carolina State University
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In this paper, we analyze how elastic and viscoelastic properties differ across seven locations along the large arteries in 11 sheep. We employ a two-parameter elastic model and a four-parameter Kelvin viscoelastic model to analyze experimental measurements of vessel diameter and blood pressure obtained in vitro at conditions mimicking in vivo dynamics. Elastic and viscoelastic wall properties were assessed via solutions to the associated inverse problem. We use sensitivity analysis to rank the model parameters from the most to the least sensitive, as well as to compute standard errors and confidence intervals. Results reveal that elastic properties in both models (including Young's modulus and the viscoelastic relaxation parameters) vary across locations (smaller arteries are stiffer than larger arteries). We also show that for all locations, the inclusion of viscoelastic behavior is important to capture pressure-area dynamics.
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