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Evolution of Brain Tumor and Stability of Geometric Invariants

This paper presents a method to reconstruct and to calculate geometric invariants on brain tumors. The geometric invariants considered in the paper are the volume, the area, the discrete Gauss curvature, and the discrete mean curvature. The volume of a tumor is an important aspect that helps doctors...

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Detalles Bibliográficos
Autores principales: Tawbe, K., Cotton, F., Vuillon, L.
Formato: Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2008
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2659777/
https://www.ncbi.nlm.nih.gov/pubmed/19325922
http://dx.doi.org/10.1155/2008/210471
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author Tawbe, K.
Cotton, F.
Vuillon, L.
author_facet Tawbe, K.
Cotton, F.
Vuillon, L.
author_sort Tawbe, K.
collection PubMed
description This paper presents a method to reconstruct and to calculate geometric invariants on brain tumors. The geometric invariants considered in the paper are the volume, the area, the discrete Gauss curvature, and the discrete mean curvature. The volume of a tumor is an important aspect that helps doctors to make a medical diagnosis. And as doctors seek a stable calculation, we propose to prove the stability of some invariants. Finally, we study the evolution of brain tumor as a function of time in two or three years depending on patients with MR images every three or six months.
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spelling pubmed-26597772009-03-26 Evolution of Brain Tumor and Stability of Geometric Invariants Tawbe, K. Cotton, F. Vuillon, L. Int J Telemed Appl Research Article This paper presents a method to reconstruct and to calculate geometric invariants on brain tumors. The geometric invariants considered in the paper are the volume, the area, the discrete Gauss curvature, and the discrete mean curvature. The volume of a tumor is an important aspect that helps doctors to make a medical diagnosis. And as doctors seek a stable calculation, we propose to prove the stability of some invariants. Finally, we study the evolution of brain tumor as a function of time in two or three years depending on patients with MR images every three or six months. Hindawi Publishing Corporation 2008 2009-03-23 /pmc/articles/PMC2659777/ /pubmed/19325922 http://dx.doi.org/10.1155/2008/210471 Text en Copyright © 2008 K. Tawbe et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Tawbe, K.
Cotton, F.
Vuillon, L.
Evolution of Brain Tumor and Stability of Geometric Invariants
title Evolution of Brain Tumor and Stability of Geometric Invariants
title_full Evolution of Brain Tumor and Stability of Geometric Invariants
title_fullStr Evolution of Brain Tumor and Stability of Geometric Invariants
title_full_unstemmed Evolution of Brain Tumor and Stability of Geometric Invariants
title_short Evolution of Brain Tumor and Stability of Geometric Invariants
title_sort evolution of brain tumor and stability of geometric invariants
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2659777/
https://www.ncbi.nlm.nih.gov/pubmed/19325922
http://dx.doi.org/10.1155/2008/210471
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