The DOI matches its Crossref record; 121 of the 121 references it cites were found in a registry or an index.
ON THE FOUNDATIONS OF CANCER MODELLING: SELECTED TOPICS, SPECULATIONS, AND PERSPECTIVES
Abstract
This paper presents a critical review of selected topics related to the modelling of cancer onset, evolution and growth, with the aim of illustrating, to a wide applied mathematical readership, some of the novel mathematical problems in the field. This review attempts to capture, from the appropriate literature, the main issues involved in the modelling of phenomena related to cancer dynamics at all scales which characterise this highly complex system: from the molecular scale up to that of tissue. The last part of the paper discusses the challenge of developing a mathematical biological theory of tumour onset and evolution.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Hanahan, D., & Weinberg, R. A. (2000) · Cell · doi:10.1016/s0092-8674(00)81683-9 · Cited by 29,219
The random walk's guide to anomalous diffusion: a fractional dynamics approach
Metzler, R., & Klafter, J. (2000) · Physics Reports · doi:10.1016/s0370-1573(00)00070-3 · Cited by 9,026
Cancer immunoediting: from immunosurveillance to tumor escape
Dunn, G. P., Bruce, A. T., Ikeda, H., Old, L. J., & Schreiber, R. D. (2002) · Nature Immunology · doi:10.1038/ni1102-991 · Cited by 5,393
Cancer genes and the pathways they control
Vogelstein, B., & Kinzler, K. W. (2004) · Nature Medicine · doi:10.1038/nm1087 · Cited by 4,249
Blume-Jensen, P., & Hunter, T. (2001) · Nature · doi:10.1038/35077225 · Cited by 3,738
From molecular to modular cell biology.
Hartwell, L. H., Hopfield, J. J., Leibler, S., & Murray, A. W. (1999) · Nature · doi:10.1038/35011540 · Cited by 3,632
VEGFR1-positive haematopoietic bone marrow progenitors initiate the pre-metastatic niche
Kaplan, R. N., Riba, R. D., Zacharoulis, S., Bramley, A. H., Vincent, L., Costa, C., MacDonald, D. D., Jin, D. K., Shido, K., Kerns, S. A., et al. (2005) · Nature · doi:10.1038/nature04186 · Cited by 3,288
Tumour-cell invasion and migration: diversity and escape mechanisms
Friedl, P., & Wolf, K. (2003) · Nature Reviews Cancer · doi:10.1038/nrc1075 · Cited by 3,222
Role of angiogenesis in tumor growth and metastasis
Folkman, J. (2002) · Seminars in Oncology · doi:10.1053/sonc.2002.37263 · Cited by 2,404
Role of angiogenesis in tumor growth and metastasis
FOLKMAN, J. (2002) · Seminars in Oncology · doi:10.1016/s0093-7754(02)70065-1 · Cited by 2,400
Cited by
Giverso, C., & Preziosi, L. (2019) · International Journal of Non-Linear Mechanics · doi:10.1016/j.ijnonlinmec.2018.10.005 · Cited by 27
Metadata
- Authors
- BELLOMO, N., LI, N. K., & MAINI, P. K.
- Venue
- Mathematical Models and Methods in Applied Sciences
- Publisher
- World Scientific Pub Co Pte Ltd
- Published
- 2008-04
- Volume
- 18
- Issue
- 04
- Pages
- 593-646
- ISSN
- 0218-2025 (ISSN-L)
- 1793-6314
- OpenAlex
- W2104010300
- Cited by
- 420
- References
- 121
- FWCI
- 40.37
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: ON THE FOUNDATIONS OF CANCER MODELLING: SELECTED TOPICS, SPECULATIONS, AND PERSPECTIVES. https://app.cochat.ai/papers/10.1142/s0218202508002796
- The paper
- BELLOMO, N., LI, N. K., & MAINI, P. K. (2008). ON THE FOUNDATIONS OF CANCER MODELLING: SELECTED TOPICS, SPECULATIONS, AND PERSPECTIVES. Mathematical Models and Methods in Applied Sciences. https://doi.org/10.1142/s0218202508002796
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
