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Aneurysm I: Introduction

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An aortic aneurysm is a localized outpouching or dilation at a weak point in the artery wall. It may involve different parts of the aorta, such as the abdominal aorta, aortic arch, or thoracic aorta.Etiological factorsSeveral disorders are associated with aortic aneurysms.Congenital causes, such as primary connective tissue disorders like Marfan syndrome, impact the integrity and strength of connective tissues, notably affecting the aorta. Marfan syndrome is a genetic disorder that specifically...

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When analyzing the deformation of a symmetric prismatic member subjected to bending by equal and opposite couples, it becomes clear that as the member bends, the originally straight lines on its wider faces curve into circular arcs, with a constant radius centered at a point known as Point C. This phenomenon helps to understand the stress and strain distribution within the member more clearly.
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Thoracic, aortic arch and abdominal aneurysms are significant vascular conditions that can present with various clinical manifestations and lead to serious complications. Understanding these manifestations and the appropriate diagnostic studies is essential for effective management and treatment.Thoracic Aortic AneurysmsThoracic aortic aneurysms often remain asymptomatic until they reach a size that impinges on adjacent structures. They typically cause deep, diffuse chest pain that radiates to...

Three-Dimensional Analysis of Strain

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Related Experiment Video

Updated: May 21, 2026

A Magnetic Resonance Imaging-based Computational Protocol for Analysis of Plaque Morphology and Hemodynamics in Patients with Carotid Artery Stenosis

A Magnetic Resonance Imaging-based Computational Protocol for Analysis of Plaque Morphology and Hemodynamics in Patients with Carotid Artery Stenosis

Published on: August 12, 2025

Aneurysm Morphology Based on Conformal Geometry.

Yuanpeng Liu¹, Zhou Zhao¹, Siyu Fang²

¹Department of Computer Science, Stony Brook University, Stony Brook, New York, USA.

International Journal for Numerical Methods in Biomedical Engineering

|May 20, 2026

Summary

This summary is machine-generated.

This study introduces a novel method using conformal structures to classify aortic aneurysm shapes. This approach offers a new way to understand aneurysm morphology for better endovascular repair outcomes.

Keywords:

aneurysm morphology conformal geometry endovascular repair (EVAR)radiomics

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A Magnetic Resonance Imaging-based Computational Protocol for Analysis of Plaque Morphology and Hemodynamics in Patients with Carotid Artery Stenosis

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Creation of Two Saccular Elastase-Digested Aneurysms with Different Hemodynamics in One Rabbit

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Published on: April 15, 2021

Area of Science:

Medical imaging analysis
Computational geometry
Vascular surgery

Background:

Traditional methods for classifying "hostile" aortic aneurysm anatomies rely on parameters like neck length and angulation.
These parameters have limitations in predicting outcomes after endovascular aneurysm repair (EVAR).

Purpose of the Study:

To develop and present a novel method for classifying aortic aneurysm morphologies using conformal structures.
To establish "conformal fingerprints" for improved aneurysm shape classification.

Main Methods:

Aortic aneurysms are segmented from CT scans into discrete surfaces.
Holomorphic differential forms are computed using discrete Hodge Theory.
Aneurysm surfaces are conformally mapped to planar rectangles to derive conformal invariants.

Main Results:

A new classification system based on "conformal fingerprints" was developed.
This method provides a canonical representation of aneurysm shapes.
The approach leverages Riemannian geometry and holomorphic differential forms.

Conclusions:

The novel conformal structure methodology shows promise for improved aneurysm morphology classification.
This approach may enhance the prediction and management of complications following EVAR.
Understanding complex aneurysm shapes is crucial for optimizing EVAR success.