ArticleCurrent breast cancer reports2010
Mathematical Oncology: How Are the Mathematical and Physical Sciences Contributing to the War on Breast Cancer?
Article in Current breast cancer reports, 2010. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 12 papers.
What it found
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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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Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.
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Who cites it
12 citing papers in PubMed.
- An accurate analytical modeling method for microwave-based breast tumor detection and phantom manufacturing.Biomedical engineering letters · 2026Article
- Mathematical modeling and simulation of tumor-induced angiogenesis in retinal hemangioblastoma.PLoS computational biology · 2025Article
- Nanoparticle-mediated cancer cell therapy: basic science to clinical applications.Cancer metastasis reviews · 2023Review
- Mechanical Pressure Driving Proteoglycan Expression in Mammographic Density: a Self-perpetuating Cycle?Journal of mammary gland biology and neoplasia · 2021Review
- Mathematical Modeling to Address Challenges in Pancreatic Cancer.Current topics in medicinal chemistry · 2020Article
- Introduction to Mathematical Oncology.JCO clinical cancer informatics · 2019Article
- Tissue-scale, personalized modeling and simulation of prostate cancer growth.Proceedings of the National Academy of Sciences of the United States of America · 2016Article
- Diagnostic assessment of osteosarcoma chemoresistance based on Virtual Clinical Trials.Medical hypotheses · 2015Article
- Toward a science of tumor forecasting for clinical oncology.Cancer research · 2015Review
- Ovarian tumor attachment, invasion, and vascularization reflect unique microenvironments in the peritoneum: insights from xenograft and mathematical models.Frontiers in oncology · 2013Article
- An integrated computational/experimental model of lymphoma growth.PLoS computational biology · 2013Article
- Article
Corrections and comments
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Authors and funding
6 authors.
Funding
Abstract
Mathematical modeling has recently been added as a tool in the fight against cancer. The field of mathematical oncology has received great attention and increased enormously, but over-optimistic estimations about its ability have created unrealistic expectations. We present a critical appraisal of the current state of mathematical models of cancer. Although the field is still expanding and useful clinical applications may occur in the future, managing over-expectation requires the proposal of alternative directions for mathematical modeling. Here, we propose two main avenues for this modeling: 1) the identification of the elementary biophysical laws of cancer development, and 2) the development of a multiscale mathematical theory as the framework for models predictive of tumor growth. Finally, we suggest how these new directions could contribute to addressing the current challenges of understanding breast cancer growth and metastasis.
Identifiers
What OpenQuestion holds
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.