Gibbs point field model quantifies disorder in microvasculature of U87-glioblastoma

Artur Hahn; Julia Bode; Thomas Krüwel; Thomas Kampf; Lukas R Buschle; Volker J F Sturm; Ke Zhang; Björn Tews; Heinz-Peter Schlemmer; Sabine Heiland; Martin Bendszus; Christian H Ziener; Michael O Breckwoldt; Felix T Kurz

doi:10.1016/j.jtbi.2020.110230

Gibbs point field model quantifies disorder in microvasculature of U87-glioblastoma

J Theor Biol. 2020 Jun 7:494:110230. doi: 10.1016/j.jtbi.2020.110230. Epub 2020 Mar 3.

Authors

Affiliations

¹ Department of Neuroradiology, Heidelberg University Hospital, Im Neuenheimer Feld 400, Heidelberg 69120, Germany; Department of Physics and Astronomy, University of Heidelberg, Im Neuenheimer Feld 226, Heidelberg 69120, Germany.
² Molecular Mechanisms of Tumor Invasion, Schaller Research Group, University of Heidelberg and German Cancer Research Center (DKFZ), Im Neuenheimer Feld 581, Heidelberg 69120, Germany.
³ Department of Experimental Physics 5, University of Würzburg, Am Hubland, Würzburg 97074, Germany; Department of Neuroradiology, University Hospital Würzburg, Josef-Schneider-Straße 2, Würzburg 97080, Germany.
⁴ Department of Neuroradiology, Heidelberg University Hospital, Im Neuenheimer Feld 400, Heidelberg 69120, Germany; Department of Radiology E010, German Cancer Research Center (DKFZ), Im Neuenheimer Feld 280, Heidelberg 69120, Germany.
⁵ Department of Radiology E010, German Cancer Research Center (DKFZ), Im Neuenheimer Feld 280, Heidelberg 69120, Germany.
⁶ Department of Neuroradiology, Heidelberg University Hospital, Im Neuenheimer Feld 400, Heidelberg 69120, Germany.
⁷ Department of Neuroradiology, Heidelberg University Hospital, Im Neuenheimer Feld 400, Heidelberg 69120, Germany; Clinical Cooperation Unit Neuroimmunology and Brain Tumor Immunology, German Cancer Research Center (DKFZ), Im Neuenheimer Feld 280, Heidelberg 69120, Germany.
⁸ Department of Neuroradiology, Heidelberg University Hospital, Im Neuenheimer Feld 400, Heidelberg 69120, Germany; Department of Radiology E010, German Cancer Research Center (DKFZ), Im Neuenheimer Feld 280, Heidelberg 69120, Germany. Electronic address: felix.kurz@med.uni-heidelberg.de.

PMID: 32142806
DOI: 10.1016/j.jtbi.2020.110230

Abstract

Microvascular proliferation in glioblastoma multiforme is a biological key mechanism to facilitate tumor growth and infiltration and a main target for treatment interventions. The vascular architecture can be obtained by Single Plane Illumination Microscopy (SPIM) to evaluate vascular heterogeneity in tumorous tissue. We make use of the Gibbs point field model to quantify the order of regularity in capillary distributions found in the U87 glioblastoma model in a murine model and to compare tumorous and healthy brain tissue. A single model parameter Γ was assigned that is linked to tissue-specific vascular topology through Monte-Carlo simulations. Distributions of the model parameter Γ differ significantly between glioblastoma tissue with mean 〈Γ_G〉=2.1±0.4, as compared to healthy brain tissue with mean 〈Γ_H〉=4.9±0.4, suggesting that the average Γ-value allows for tissue differentiation. These results may be used for diagnostic magnetic resonance imaging, where it has been shown recently that Γ is linked to tissue-inherent relaxation parameters.

Keywords: Cerebral vasculature; Entropy; Glioblastoma; SPIM.

Publication types

Research Support, Non-U.S. Gov't

MeSH terms

Animals
Brain / blood supply
Brain / pathology
Brain Neoplasms* / blood supply
Brain Neoplasms* / diagnostic imaging
Disease Models, Animal
Glioblastoma* / blood supply
Glioblastoma* / diagnostic imaging
Magnetic Resonance Imaging
Mice
Microvessels* / pathology
Models, Biological*