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A computational method to assess initial stresses and unloaded configuration of patient-specific blood vessels

Author
Organization
Project
G.0275.08
Project
BOF10/GOA/005
Abstract
In the modelling process of cardiovascular diseases, one often comes across the numerical simulation of the blood vessel wall. When the vessel geometry is patient-specific and obtained in vivo via medical imaging, the stress distribution throughout the vessel wall is unknown. However, simulating the full physiological pressure load inside the blood vessel without incorporating initial stresses will result in an inaccurate stress distribution and an incorrect deformation of the vessel wall. In this work a computational method is formulated to recover the zero-pressure geometry or to include initial stresses into subject-specific blood vessels starting from medical images. Based on a fixed point method, the approximation of the zero-pressure geometry gets updated at each iteration. The formulation of this method allows for a simple implementation with black box structural solvers.
Keywords
inverse modelling, initial stress incorporation, medical images, prestress, patient-specific blood vessels, zero-pressure geometry

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Citation

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Chicago
Bols, Joris, Joris Degroote, Bram Trachet, Benedict Verhegghe, Patrick Segers, and Jan Vierendeels. 2011. “A Computational Method to Assess Initial Stresses and Unloaded Configuration of Patient-specific Blood Vessels.” In Fifth International Conference on Advanced Computational Methods in Engineering (ACOMEN 2011), ed. Michel Hogge, Roger Van Keer, Erik Dick, Benny Malengier, Marian Slodicka, Eric Béchet, Christophe Geuzaine, Ludovic Noels, and Jean-François Remacle. Liège, Belgium: Université de Liège.
APA
Bols, Joris, Degroote, J., Trachet, B., Verhegghe, B., Segers, P., & Vierendeels, J. (2011). A computational method to assess initial stresses and unloaded configuration of patient-specific blood vessels. In Michel Hogge, R. Van Keer, E. Dick, B. Malengier, M. Slodicka, E. Béchet, C. Geuzaine, et al. (Eds.), Fifth international conference on advanced computational methods in engineering (ACOMEN 2011). Presented at the 5th International conference on Advanced COmputational Methods in ENgineering (ACOMEN 2011), Liège, Belgium: Université de Liège.
Vancouver
1.
Bols J, Degroote J, Trachet B, Verhegghe B, Segers P, Vierendeels J. A computational method to assess initial stresses and unloaded configuration of patient-specific blood vessels. In: Hogge M, Van Keer R, Dick E, Malengier B, Slodicka M, Béchet E, et al., editors. Fifth international conference on advanced computational methods in engineering (ACOMEN 2011). Liège, Belgium: Université de Liège; 2011.
MLA
Bols, Joris, Joris Degroote, Bram Trachet, et al. “A Computational Method to Assess Initial Stresses and Unloaded Configuration of Patient-specific Blood Vessels.” Fifth International Conference on Advanced Computational Methods in Engineering (ACOMEN 2011). Ed. Michel Hogge et al. Liège, Belgium: Université de Liège, 2011. Print.
@inproceedings{3175807,
  abstract     = {In the modelling process of cardiovascular diseases, one often comes across the numerical simulation of the blood vessel wall. When the vessel geometry is patient-specific and obtained in vivo via medical imaging, the stress distribution throughout the vessel wall is unknown. However, simulating the full physiological pressure load inside the blood vessel without incorporating initial stresses will result in an inaccurate stress distribution and an incorrect deformation of the vessel wall. In this work a computational method is formulated to recover the zero-pressure geometry or to include initial stresses into subject-specific blood vessels starting from medical images. Based on a fixed point method, the approximation of the zero-pressure geometry gets updated at each iteration. The formulation of this method allows for a simple implementation with black box structural solvers.},
  author       = {Bols, Joris and Degroote, Joris and Trachet, Bram and Verhegghe, Benedict and Segers, Patrick and Vierendeels, Jan},
  booktitle    = {Fifth international conference on advanced computational methods in engineering (ACOMEN 2011)},
  editor       = {Hogge, Michel and Van Keer, Roger and Dick, Erik and Malengier, Benny and Slodicka, Marian and B{\'e}chet, Eric and Geuzaine, Christophe and Noels, Ludovic and Remacle, Jean-Fran\c{c}ois},
  isbn         = {9782960114317},
  keyword      = {inverse modelling,initial stress incorporation,medical images,prestress,patient-specific blood vessels,zero-pressure geometry},
  language     = {eng},
  location     = {Li{\`e}ge, Belgium},
  pages        = {10},
  publisher    = {Universit{\'e} de Li{\`e}ge},
  title        = {A computational method to assess initial stresses and unloaded configuration of patient-specific blood vessels},
  year         = {2011},
}