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Front Instabilities and Invasiveness of Simulated 3D Avascular Tumors

We use the Glazier-Graner-Hogeweg model to simulate three-dimensional (3D), single-phenotype, avascular tumors growing in an homogeneous tissue matrix (TM) supplying a single limiting nutrient. We study the effects of two parameters on tumor morphology: a diffusion-limitation parameter defined as th...

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Autores principales: Poplawski, Nikodem J., Shirinifard, Abbas, Agero, Ubirajara, Gens, J. Scott, Swat, Maciej, Glazier, James A.
Formato: Texto
Lenguaje:English
Publicado: Public Library of Science 2010
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2877086/
https://www.ncbi.nlm.nih.gov/pubmed/20520818
http://dx.doi.org/10.1371/journal.pone.0010641
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author Poplawski, Nikodem J.
Shirinifard, Abbas
Agero, Ubirajara
Gens, J. Scott
Swat, Maciej
Glazier, James A.
author_facet Poplawski, Nikodem J.
Shirinifard, Abbas
Agero, Ubirajara
Gens, J. Scott
Swat, Maciej
Glazier, James A.
author_sort Poplawski, Nikodem J.
collection PubMed
description We use the Glazier-Graner-Hogeweg model to simulate three-dimensional (3D), single-phenotype, avascular tumors growing in an homogeneous tissue matrix (TM) supplying a single limiting nutrient. We study the effects of two parameters on tumor morphology: a diffusion-limitation parameter defined as the ratio of the tumor-substrate consumption rate to the substrate-transport rate, and the tumor-TM surface tension. This initial model omits necrosis and oxidative/hypoxic metabolism effects, which can further influence tumor morphology, but our simplified model still shows significant parameter dependencies. The diffusion-limitation parameter determines whether the growing solid tumor develops a smooth (noninvasive) or fingered (invasive) interface, as in our earlier two-dimensional (2D) simulations. The sensitivity of 3D tumor morphology to tumor-TM surface tension increases with the size of the diffusion-limitation parameter, as in 2D. The 3D results are unexpectedly close to those in 2D. Our results therefore may justify using simpler 2D simulations of tumor growth, instead of more realistic but more computationally expensive 3D simulations. While geometrical artifacts mean that 2D sections of connected 3D tumors may be disconnected, the morphologies of 3D simulated tumors nevertheless correlate with the morphologies of their 2D sections, especially for low-surface-tension tumors, allowing the use of 2D sections to partially reconstruct medically-important 3D-tumor structures.
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spelling pubmed-28770862010-06-02 Front Instabilities and Invasiveness of Simulated 3D Avascular Tumors Poplawski, Nikodem J. Shirinifard, Abbas Agero, Ubirajara Gens, J. Scott Swat, Maciej Glazier, James A. PLoS One Research Article We use the Glazier-Graner-Hogeweg model to simulate three-dimensional (3D), single-phenotype, avascular tumors growing in an homogeneous tissue matrix (TM) supplying a single limiting nutrient. We study the effects of two parameters on tumor morphology: a diffusion-limitation parameter defined as the ratio of the tumor-substrate consumption rate to the substrate-transport rate, and the tumor-TM surface tension. This initial model omits necrosis and oxidative/hypoxic metabolism effects, which can further influence tumor morphology, but our simplified model still shows significant parameter dependencies. The diffusion-limitation parameter determines whether the growing solid tumor develops a smooth (noninvasive) or fingered (invasive) interface, as in our earlier two-dimensional (2D) simulations. The sensitivity of 3D tumor morphology to tumor-TM surface tension increases with the size of the diffusion-limitation parameter, as in 2D. The 3D results are unexpectedly close to those in 2D. Our results therefore may justify using simpler 2D simulations of tumor growth, instead of more realistic but more computationally expensive 3D simulations. While geometrical artifacts mean that 2D sections of connected 3D tumors may be disconnected, the morphologies of 3D simulated tumors nevertheless correlate with the morphologies of their 2D sections, especially for low-surface-tension tumors, allowing the use of 2D sections to partially reconstruct medically-important 3D-tumor structures. Public Library of Science 2010-05-26 /pmc/articles/PMC2877086/ /pubmed/20520818 http://dx.doi.org/10.1371/journal.pone.0010641 Text en Poplawski et al. http://creativecommons.org/licenses/by/4.0/ This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are properly credited.
spellingShingle Research Article
Poplawski, Nikodem J.
Shirinifard, Abbas
Agero, Ubirajara
Gens, J. Scott
Swat, Maciej
Glazier, James A.
Front Instabilities and Invasiveness of Simulated 3D Avascular Tumors
title Front Instabilities and Invasiveness of Simulated 3D Avascular Tumors
title_full Front Instabilities and Invasiveness of Simulated 3D Avascular Tumors
title_fullStr Front Instabilities and Invasiveness of Simulated 3D Avascular Tumors
title_full_unstemmed Front Instabilities and Invasiveness of Simulated 3D Avascular Tumors
title_short Front Instabilities and Invasiveness of Simulated 3D Avascular Tumors
title_sort front instabilities and invasiveness of simulated 3d avascular tumors
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2877086/
https://www.ncbi.nlm.nih.gov/pubmed/20520818
http://dx.doi.org/10.1371/journal.pone.0010641
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