The DOI matches its Crossref record; 69 of the 69 references it cites were found in a registry or an index.
Mathematical Modeling of Capillary Formation and Development in Tumor Angiogenesis: Penetration into the Stroma
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
Angiogenesis in cancer and other diseases
Carmeliet, P., & Jain, R. K. (2000) · Nature · doi:10.1038/35025220 · Cited by 9,070
Patterns and emerging mechanisms of the angiogenic switch during tumorigenesis
Hanahan, D., & Folkman, J. (1996) · Cell · doi:10.1016/s0092-8674(00)80108-7 · Cited by 6,885
(1958) · Journal of Nuclear Energy (1954) · doi:10.1016/0891-3919(58)90200-6 · Cited by 5,896
Level Set Methods and Fast Marching Methods
Sethian, J. A. (1999) · Medical Entomology and Zoology · Cited by 3,616
A matrix metalloproteinase expressed on the surface of invasive tumour cells
Sato, H., Takino, T., Okada, Y., Cao, J., Shinagawa, A., Yamamoto, E., & Seiki, M. (1994) · Nature · doi:10.1038/370061a0 · Cited by 2,551
Vessel Cooption, Regression, and Growth in Tumors Mediated by Angiopoietins and VEGF
Holash, J., Maisonpierre, P. C., Compton, D., Boland, P., Alexander, C. R., Zagzag, D., Yancopoulos, G. D., & Wiegand, S. J. (1999) · Science · doi:10.1126/science.284.5422.1994 · Cited by 2,195
Mathematical Models in Biology
Edelstein-Keshet, L. (2005) · Society for Industrial and Applied Mathematics eBooks · doi:10.1137/1.9780898719147 · Cited by 2,014
Waltenberger, J., Claesson-Welsh, L., Siegbahn, A., Shibuya, M., & Heldin, C. H. (1994) · Journal of Biological Chemistry · doi:10.1016/s0021-9258(18)47116-5 · Cited by 1,656
Identification of the KDR tyrosine kinase as a receptor for vascular endothelial cell growth factor
Terman, B. I., Dougher-Vermazen, M., Carrion, M. E., Dimitrov, D., Armellino, D. C., Gospodarowicz, D., & Böhlen, P. (1992) · Biochemical and Biophysical Research Communications · doi:10.1016/0006-291x(92)90483-2 · Cited by 1,519
Fibronectins—adhesive glycoproteins of cell surface and blood
Yamada, K. M., & Olden, K. (1978) · Nature · doi:10.1038/275179a0 · Cited by 1,410
Cited by
Codling, E. A., Plank, M. J., & Benhamou, S. (2008) · Journal of The Royal Society Interface · doi:10.1098/rsif.2008.0014 · Cited by 1,482
Nonlinear modelling of cancer: bridging the gap between cells and tumours
Lowengrub, J. S., Frieboes, H. B., Jin, F., Chuang, Y.-L., Li, X., Macklin, P., Wise, S. M., & Cristini, V (2010) · Nonlinearity · doi:10.1088/0951-7715/23/1/r01 · Cited by 553
ON THE FOUNDATIONS OF CANCER MODELLING: SELECTED TOPICS, SPECULATIONS, AND PERSPECTIVES
BELLOMO, N., LI, N. K., & MAINI, P. K. (2008) · Mathematical Models and Methods in Applied Sciences · doi:10.1142/s0218202508002796 · Cited by 420
McDougall, S. R., Anderson, A. R. A., & Chaplain, M. A. J. (2006) · Journal of Theoretical Biology · doi:10.1016/j.jtbi.2005.12.022 · Cited by 383
Mathematical modeling of tumor-induced angiogenesis
Mantzaris, N. V., Webb, S., & Othmer, H. G. (2004) · Journal of Mathematical Biology · doi:10.1007/s00285-003-0262-2 · Cited by 362
Metadata
- Authors
- Levine, H.
- Venue
- Bulletin of Mathematical Biology
- Published
- 2001-09
- Volume
- 63
- Issue
- 5
- Pages
- 801-863
- ISSN
- 0092-8240 (ISSN-L)
- OpenAlex
- W1973546194
- Cited by
- 268
- References
- 69
- FWCI
- 31.67
- 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: Mathematical Modeling of Capillary Formation and Development in Tumor Angiogenesis: Penetration into the Stroma. https://app.cochat.ai/papers/10.1006/bulm.2001.0240
- The paper
- Levine, H. (2001). Mathematical Modeling of Capillary Formation and Development in Tumor Angiogenesis: Penetration into the Stroma. Bulletin of Mathematical Biology. https://doi.org/10.1006/bulm.2001.0240
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.
