Theory of growth and rupture of abdominal aortic aneurysm

Konstantin Y. Volokh, David A. Vorp

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations


We present here a coupled mathematical model of growth and failure of the abdominal aortic aneurysm (AAA). The failure portion of the model is based on the constitutive theory of softening hyperelasticity where the classical hyperelastic law is enhanced with a new constant indicating the maximum energy that an infinitesimal material volume can accumulate without failure. The new constant controls material failure and it can be interpreted as the average energy of molecular bonds from the microstructural standpoint. The constitutive model is compared to the data from uniaxial tension tests providing an excellent fit to the experiment. The AAA failure model is coupled with a phenomenological theory of soft tissue growth. The unified theory includes both momentum and mass balance laws coupled with the help of the constitutive equations. The microstructural alterations in the production of elastin and remodeling of collagen are reflected in the changing macroscopic parameters characterizing tissue stiffness, strength and density. The coupled theory is used to simulate growth and rupture of an idealized spherical AAA. The results of the simulation showing possible AAA ruptures in growth are reasonable qualitatively while the quantitative calibration of the model will require further clinical observations and in-vitro tests. The presented model is the first where growth and rupture are coupled.

Original languageEnglish
Title of host publicationProceedings of the ASME Summer Bioengineering Conference 2009, SBC2009
Number of pages2
EditionPART B
StatePublished - 1 Dec 2009
Externally publishedYes
Event11th ASME Summer Bioengineering Conference, SBC2009 - Lake Tahoe, CA, United States
Duration: 17 Jun 200921 Jun 2009

Publication series

NameProceedings of the ASME Summer Bioengineering Conference 2009, SBC2009
NumberPART B


Conference11th ASME Summer Bioengineering Conference, SBC2009
Country/TerritoryUnited States
CityLake Tahoe, CA

ASJC Scopus subject areas

  • Biotechnology
  • Bioengineering


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