ArticleBulletin of mathematical biology2013
A hybrid model of tumor-stromal interactions in breast cancer.
Article in Bulletin of mathematical biology, 2013. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 34 papers.
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Who cites it
34 citing papers in PubMed, 71 citations in OpenAlex.
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- Improving 3D deep learning segmentation with biophysically motivated cell synthesis.Communications biology · 2025Article
- Multiscale modeling of collective cell migration elucidates the mechanism underlying tumor-stromal interactions in different spatiotemporal scales.Scientific reports · 2022Article
- Optimal regulation of tumour-associated neutrophils in cancer progression.Royal Society open science · 2022Article
- Atorvastatin-mediated rescue of cancer-related cognitive changes in combined anticancer therapies.PLoS computational biology · 2021Article
- Review
- Mechanical Pressure Driving Proteoglycan Expression in Mammographic Density: a Self-perpetuating Cycle?Journal of mammary gland biology and neoplasia · 2021Review
- Mathematical model of STAT signalling pathways in cancer development and optimal control approaches.Royal Society open science · 2021Article
- Role of neutrophil extracellular traps in regulation of lung cancer invasion and metastasis: Structural insights from a computational model.PLoS computational biology · 2021Article
- Collective invasion of glioma cells through OCT1 signalling and interaction with reactive astrocytes after surgery.Philosophical transactions of the Royal Society of London. Series B, Biological sciences · 2020Article
- A Roadblock-and-Kill Mechanism of Action Model for the DNA-Targeting Antibiotic Ciprofloxacin.Antimicrobial agents and chemotherapy · 2020Article
- Stromal reactivity differentially drives tumour cell evolution and prostate cancer progression.Nature ecology & evolution · 2020Article
- Cell-Scale Degradation of Peritumoural Extracellular Matrix Fibre Network and Its Role Within Tissue-Scale Cancer Invasion.Bulletin of mathematical biology · 2020Article
- Tumor growth and calcification in evolving microenvironmental geometries.Journal of theoretical biology · 2019Article
- Synergistic Effects of Bortezomib-OV Therapy and Anti-Invasive Strategies in Glioblastoma: A Mathematical Model.Cancers · 2019Article
- A Review of Cell-Based Computational Modeling in Cancer Biology.JCO clinical cancer informatics · 2019Review
- Role of tumor-associated neutrophils in regulation of tumor growth in lung cancer development: A mathematical model.PloS one · 2019Article
- Role of extracellular matrix and microenvironment in regulation of tumor growth and LAR-mediated invasion in glioblastoma.PloS one · 2018Article
Corrections and comments
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Authors and funding
2 authors at 2 institutions in 2 countries.
Funding
Abstract
Ductal carcinoma in situ (DCIS) is an early stage noninvasive breast cancer that originates in the epithelial lining of the milk ducts, but it can evolve into comedo DCIS and ultimately, into the most common type of breast cancer, invasive ductal carcinoma. Understanding the progression and how to effectively intervene in it presents a major scientific challenge. The extracellular matrix (ECM) surrounding a duct contains several types of cells and several types of growth factors that are known to individually affect tumor growth, but at present the complex biochemical and mechanical interactions of these stromal cells and growth factors with tumor cells is poorly understood. Here we develop a mathematical model that incorporates the cross-talk between stromal and tumor cells, which can predict how perturbations of the local biochemical and mechanical state influence tumor evolution. We focus on the EGF and TGF-β signaling pathways and show how up- or down-regulation of components in these pathways affects cell growth and proliferation. We then study a hybrid model for the interaction of cells with the tumor microenvironment (TME), in which epithelial cells (ECs) are modeled individually while the ECM is treated as a continuum, and show how these interactions affect the early development of tumors. Finally, we incorporate breakdown of the epithelium into the model and predict the early stages of tumor invasion into the stroma. Our results shed light on the interactions between growth factors, mechanical properties of the ECM, and feedback signaling loops between stromal and tumor cells, and suggest how epigenetic changes in transformed cells affect tumor progression.
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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.