A mathematical model of aortic aneurysm formation

Wenrui Hao, Shihua Gong, Shuonan Wu, Jinchao Xu, Michael R. Go, Avner Friedman, Dai Zhu

Research output: Contribution to journalArticle

2 Citations (Scopus)

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.

Original languageEnglish (US)
Article numbere0170807
JournalPLoS One
Volume12
Issue number2
DOIs
StatePublished - Feb 1 2017

Fingerprint

aneurysm
Aortic Aneurysm
Abdominal Aortic Aneurysm
aorta
Abdominal Aorta
Theoretical Models
mathematical models
Mathematical models
Interleukin-6
interleukin-6
Growth
Aorta
Biomarkers
Serum
Partial differential equations
Aneurysm
Rupture
Screening
natural history
growth models

All Science Journal Classification (ASJC) codes

  • Biochemistry, Genetics and Molecular Biology(all)
  • Agricultural and Biological Sciences(all)

Cite this

Hao, W., Gong, S., Wu, S., Xu, J., Go, M. R., Friedman, A., & Zhu, D. (2017). A mathematical model of aortic aneurysm formation. PLoS One, 12(2), [e0170807]. https://doi.org/10.1371/journal.pone.0170807
Hao, Wenrui ; Gong, Shihua ; Wu, Shuonan ; Xu, Jinchao ; Go, Michael R. ; Friedman, Avner ; Zhu, Dai. / A mathematical model of aortic aneurysm formation. In: PLoS One. 2017 ; Vol. 12, No. 2.
@article{360e4bf296b04a8e9541775c3189b035,
title = "A mathematical model of aortic aneurysm formation",
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.",
author = "Wenrui Hao and Shihua Gong and Shuonan Wu and Jinchao Xu and Go, {Michael R.} and Avner Friedman and Dai Zhu",
year = "2017",
month = "2",
day = "1",
doi = "10.1371/journal.pone.0170807",
language = "English (US)",
volume = "12",
journal = "PLoS One",
issn = "1932-6203",
publisher = "Public Library of Science",
number = "2",

}

Hao, W, Gong, S, Wu, S, Xu, J, Go, MR, Friedman, A & Zhu, D 2017, 'A mathematical model of aortic aneurysm formation', PLoS One, vol. 12, no. 2, e0170807. https://doi.org/10.1371/journal.pone.0170807

A mathematical model of aortic aneurysm formation. / Hao, Wenrui; Gong, Shihua; Wu, Shuonan; Xu, Jinchao; Go, Michael R.; Friedman, Avner; Zhu, Dai.

In: PLoS One, Vol. 12, No. 2, e0170807, 01.02.2017.

Research output: Contribution to journalArticle

TY - JOUR

T1 - A mathematical model of aortic aneurysm formation

AU - Hao, Wenrui

AU - Gong, Shihua

AU - Wu, Shuonan

AU - Xu, Jinchao

AU - Go, Michael R.

AU - Friedman, Avner

AU - Zhu, Dai

PY - 2017/2/1

Y1 - 2017/2/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85013040132&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85013040132&partnerID=8YFLogxK

U2 - 10.1371/journal.pone.0170807

DO - 10.1371/journal.pone.0170807

M3 - Article

VL - 12

JO - PLoS One

JF - PLoS One

SN - 1932-6203

IS - 2

M1 - e0170807

ER -