Flow correlated percolation during vascular remodeling in growing tumors

A theoretical model based on the molecular interactions between a growing tumor and a dynamically evolving blood vessel network describes the transformation of the regular vasculature in normal tissues into a highly inhomogeneous tumor specific capillary network. The emerging morphology, characteriz...

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Bibliographic Details
Published inPhysical review letters Vol. 96; no. 5; p. 058104
Main Authors Lee, D-S, Rieger, H, Bartha, K
Format Journal Article
LanguageEnglish
Published United States 10.02.2006
Subjects
Blood Vessels - pathology
Capillaries - pathology
Computer Simulation
Humans
Melanoma - blood supply
Models, Biological
Necrosis
Neoplasms - blood supply
Neovascularization, Pathologic - pathology
Stochastic Processes
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Summary:A theoretical model based on the molecular interactions between a growing tumor and a dynamically evolving blood vessel network describes the transformation of the regular vasculature in normal tissues into a highly inhomogeneous tumor specific capillary network. The emerging morphology, characterized by the compartmentalization of the tumor into several regions differing in vessel density, diameter, and necrosis, is in accordance with experimental data for human melanoma. Vessel collapse due to a combination of severely reduced blood flow and solid stress exerted by the tumor leads to a correlated percolation process that is driven towards criticality by the mechanism of hydrodynamic vessel stabilization.
ISSN:0031-9007
DOI:10.1103/PhysRevLett.96.058104