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A mathematical model of aortic aneurysm formation

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Listed:
  • Wenrui Hao
  • Shihua Gong
  • Shuonan Wu
  • Jinchao Xu
  • Michael R Go
  • Avner Friedman
  • Dai Zhu

Abstract

Abdominal aortic aneurysm (AAA) is a localized enlargement of the abdominal aorta, such that the diameter exceeds 3 cm. The natural history of AAA is progressive growth leading to rupture, an event that carries up to 90% risk of mortality. Hence there is a need to predict the growth of the diameter of the aorta based on the diameter of a patient’s aneurysm at initial screening and aided by non-invasive biomarkers. IL-6 is overexpressed in AAA and was suggested as a prognostic marker for the risk in AAA. The present paper develops a mathematical model which relates the growth of the abdominal aorta to the serum concentration of IL-6. Given the initial diameter of the aorta and the serum concentration of IL-6, the model predicts the growth of the diameter at subsequent times. Such a prediction can provide guidance to how closely the patient’s abdominal aorta should be monitored. The mathematical model is represented by a system of partial differential equations taking place in the aortic wall, where the media is assumed to have the constituency of an hyperelastic material.

Suggested Citation

  • Wenrui Hao & Shihua Gong & Shuonan Wu & Jinchao Xu & Michael R Go & Avner Friedman & Dai Zhu, 2017. "A mathematical model of aortic aneurysm formation," PLOS ONE, Public Library of Science, vol. 12(2), pages 1-22, February.
    • Handle: RePEc:plo:pone00:0170807
    DOI: 10.1371/journal.pone.0170807
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    References listed on IDEAS

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    1. Jaime E Zelaya & Sevan Goenezen & Phong T Dargon & Amir-Farzin Azarbal & Sandra Rugonyi, 2014. "Improving the Efficiency of Abdominal Aortic Aneurysm Wall Stress Computations," PLOS ONE, Public Library of Science, vol. 9(7), pages 1-18, July.
    2. H. Schmid & A. Grytsan & E. Poshtan & P. Watton & M. Itskov, 2013. "Influence of differing material properties in media and adventitia on arterial adaptation — application to aneurysm formation and rupture," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 16(1), pages 33-53.
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