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Geometry of Human Vascular System: Is it an Obstacle for Quantifying Antiangiogenic Therapies?

Geometry of Human Vascular System: Is it an Obstacle for Quantifying Antiangiogenic Therapies? REVIEW ARTICLE Geometry of Human Vascular System: Is it an Obstacle for Quantifying Antiangiogenic Therapies? Fabio Grizzi, PhD,*w Piergiuseppe Colombo, MD,z Gianluigi Taverna, MD,y Maurizio Chiriva-Internati, PhD,J Everardo Cobos, MD,Jz Pierpaolo Graziotti, MD,y Pier Carlo Muzzio, MD,# and Nicola Dioguardi, MD*w anatomy. However, the more recently introduced Fractal Abstract: It is now recognized that all human natural and geometry has proved to be a powerful means of diseased anatomic systems are characterized by irregular shapes quantifying the spatial complexity of irregularly shaped 1–4 and very complex behaviors. In geometrical terms, tumor real objects. vascularity (which is the result of a nonlinear dynamic process The human vascular system is a well-characterized, called angiogenesis) is an archetypal anatomic system that archetypal natural fractal object because of its hierarch- irregularly fills a 3-dimensional Euclidean space. This character- ical and self-similar architecture, and noninteger dimen- istic, together with the highly variable nature of vessel shapes sion. These geometrical attributes have become and surfaces, leads to considerable spatial and temporal fundamental elements to theoretical morphologists, but heterogeneity in the delivery of oxygen, nutrients, and drugs, are still only partially considered in the medical sciences. and the removal of metabolites. Although these biologic features However, http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Immunohistochemistry & Molecular Morphology Wolters Kluwer Health

Geometry of Human Vascular System: Is it an Obstacle for Quantifying Antiangiogenic Therapies?

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ISSN
1541-2016
DOI
10.1097/01.pai.0000213105.18569.fa
pmid
17525623
Publisher site
See Article on Publisher Site

Abstract

REVIEW ARTICLE Geometry of Human Vascular System: Is it an Obstacle for Quantifying Antiangiogenic Therapies? Fabio Grizzi, PhD,*w Piergiuseppe Colombo, MD,z Gianluigi Taverna, MD,y Maurizio Chiriva-Internati, PhD,J Everardo Cobos, MD,Jz Pierpaolo Graziotti, MD,y Pier Carlo Muzzio, MD,# and Nicola Dioguardi, MD*w anatomy. However, the more recently introduced Fractal Abstract: It is now recognized that all human natural and geometry has proved to be a powerful means of diseased anatomic systems are characterized by irregular shapes quantifying the spatial complexity of irregularly shaped 1–4 and very complex behaviors. In geometrical terms, tumor real objects. vascularity (which is the result of a nonlinear dynamic process The human vascular system is a well-characterized, called angiogenesis) is an archetypal anatomic system that archetypal natural fractal object because of its hierarch- irregularly fills a 3-dimensional Euclidean space. This character- ical and self-similar architecture, and noninteger dimen- istic, together with the highly variable nature of vessel shapes sion. These geometrical attributes have become and surfaces, leads to considerable spatial and temporal fundamental elements to theoretical morphologists, but heterogeneity in the delivery of oxygen, nutrients, and drugs, are still only partially considered in the medical sciences. and the removal of metabolites. Although these biologic features However,

Journal

Applied Immunohistochemistry & Molecular MorphologyWolters Kluwer Health

Published: Jun 1, 2007

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