ArticlePloS one2010
Front instabilities and invasiveness of simulated 3D avascular tumors.
Article in PloS one, 2010. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 12 papers.
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Who cites it
12 citing papers in PubMed, 73 citations in OpenAlex.
- Clusters, fingers, and singles: A mechanical landscape of tumor invasion.PLoS computational biology · 2026Article
- An agent-based modelling framework to study growth mechanisms inRoyal Society open science · 2024Article
- The relationship between hematoma morphology and intraventricular hemorrhage in supratentorial deep intracerebral hemorrhage.Quantitative imaging in medicine and surgery · 2023Article
- Article
- Mathematical modelling reveals cellular dynamics within tumour spheroids.PLoS computational biology · 2020Article
- Exploration of Multiparameter Hematoma 3D Image Analysis for Predicting Outcome After Intracerebral Hemorrhage.Neurocritical care · 2020Article
- Morphophenotypic classification of tumor organoids as an indicator of drug exposure and penetration potential.PLoS computational biology · 2019Article
- Stability and Roughness of Interfaces in Mechanically Regulated Tissues.Physical review letters · 2018Article
- Article
- Towards personalized computational oncology: from spatial models of tumour spheroids, to organoids, to tissues.Journal of the Royal Society, Interface · 2018Review
- Invasion from a cell aggregate--the roles of active cell motion and mechanical equilibrium.Physical biology · 2012Article
- Integrative models of vascular remodeling during tumor growth.Wiley interdisciplinary reviews. Systems biology and medicineReview
Corrections and comments
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Authors and funding
6 authors at 3 institutions in 2 countries.
Funding
Abstract
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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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.