ArticleJournal of theoretical biology2010
Three-dimensional multispecies nonlinear tumor growth-II: Tumor invasion and angiogenesis.
Article in Journal of theoretical biology, 2010. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 67 papers.
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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
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Who cites it
67 citing papers in PubMed, 232 citations in OpenAlex.
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- Data-driven spatio-temporal modelling of glioblastoma.Royal Society open science · 2023Review
- Derivation of continuum models from discrete models of mechanical forces in cell populations.Journal of mathematical biology · 2021Article
- Multicellular Ovarian Cancer Model for Evaluation of Nanovector Delivery in Ascites and Metastatic Environments.Pharmaceutics · 2021Article
- Simulation of 3D centimeter-scale continuum tumor growth at sub-millimeter resolution via distributed computing.Computers in biology and medicine · 2021Article
- Biologically-Based Mathematical Modeling of Tumor Vasculature and Angiogenesis via Time-Resolved Imaging Data.Cancers · 2021Review
- In Silico Mathematical Modelling for Glioblastoma: A Critical Review and a Patient-Specific Case.Journal of clinical medicine · 2021Review
- Mathematical Modeling to Address Challenges in Pancreatic Cancer.Current topics in medicinal chemistry · 2020Article
- Mathematical Modelling for the Role of CD4Computational and mathematical methods in medicine · 2020Article
- Three-dimensional tumor growth in time-varying chemical fields: a modeling framework and theoretical study.BMC bioinformatics · 2019Article
- Quantitative cell-based model predicts mechanical stress response of growing tumor spheroids over various growth conditions and cell lines.PLoS computational biology · 2019Article
- A Visually Apparent and Quantifiable CT Imaging Feature Identifies Biophysical Subtypes of Pancreatic Ductal Adenocarcinoma.Clinical cancer research : an official journal of the American Association for Cancer Research · 2018Article
- A mathematical model of angiogenesis and tumor growth: analysis and application in anti-angiogenesis therapy.Journal of mathematical biology · 2018Article
- Mathematical modeling of tumor-associated macrophage interactions with the cancer microenvironment.Journal for immunotherapy of cancer · 2018Article
- Simulation of Multispecies Desmoplastic Cancer Growth via a Fully Adaptive Non-linear Full Multigrid Algorithm.Frontiers in physiology · 2018Article
- Model of vascular desmoplastic multispecies tumor growth.Journal of theoretical biology · 2017Article
7 more citing papers are in PubMed but not listed here.
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Authors and funding
6 authors at 4 institutions in 1 country.
Funding
Abstract
We extend the diffuse interface model developed in Wise et al. (2008) to study nonlinear tumor growth in 3-D. Extensions include the tracking of multiple viable cell species populations through a continuum diffuse-interface method, onset and aging of discrete tumor vessels through angiogenesis, and incorporation of individual cell movement using a hybrid continuum-discrete approach. We investigate disease progression as a function of cellular-scale parameters such as proliferation and oxygen/nutrient uptake rates. We find that heterogeneity in the physiologically complex tumor microenvironment, caused by non-uniform distribution of oxygen, cell nutrients, and metabolites, as well as phenotypic changes affecting cellular-scale parameters, can be quantitatively linked to the tumor macro-scale as a mechanism that promotes morphological instability. This instability leads to invasion through tumor infiltration of surrounding healthy tissue. Models that employ a biologically founded, multiscale approach, as illustrated in this work, could help to quantitatively link the critical effect of heterogeneity in the tumor microenvironment with clinically observed tumor growth and invasion. Using patient tumor-specific parameter values, this may provide a predictive tool to characterize the complex in vivo tumor physiological characteristics and clinical response, and thus lead to improved treatment modalities and prognosis.
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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.