The DOI matches its Crossref record; 10 of the 10 references it cites were found in a registry or an index.
MATHEMATICAL MODELING OF TUMOR-INDUCED ANGIOGENESIS
Abstract
Angiogenesis, the growth of a network of blood vessels, is a crucial component of solid tumor growth, linking the relatively harmless avascular and the potentially fatal vascular growth phases of the tumor. As a process, angiogenesis is a well-orchestrated sequence of events involving endothelial cell migration and proliferation; degradation of tissue; new capillary vessel formation; loop formation (anastomosis) and, crucially, blood flow through the network. Once there is flow associated with the nascent network, subsequent growth evolves both temporally and spatially in response to the combined effects of angiogenic factors, migratory cues via the extracellular matrix, and perfusion-related hemodynamic forces in a manner that may be described as both adaptive and dynamic. In this article, we first present a review of previous theoretical and computational models of angiogenesis and then indicate how recent developments in flow models are providing insight into antiangiogenic and chemotherapeutic drug treatment of solid tumors.
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Cites
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Ferrara, N., Gerber, H.-P., & LeCouter, J. (2003) · Nature Medicine · doi:10.1038/nm0603-669 · Cited by 9,591
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Regulation of angiogenesis by hypoxia: role of the HIF system
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Integrin αvβ3 antagonists promote tumor regression by inducing apoptosis of angiogenic blood vessels
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Normalizing tumor vasculature with anti-angiogenic therapy: A new paradigm for combination therapy
Jain, R. K. (2001) · Nature Medicine · doi:10.1038/nm0901-987 · Cited by 2,184
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Adaptive regulation of wall shear stress optimizing vascular tree function
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Cited by
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
Trepat, X., Chen, Z., & Jacobson, K. (2012) · Comprehensive Physiology · doi:10.1002/cphy.c110012 · Cited by 406
Multiscale modelling and nonlinear simulation of vascular tumour growth
Macklin, P., McDougall, S., Anderson, A. R. A., Chaplain, M. A. J., Cristini, V., & Lowengrub, J. (2009) · Journal of Mathematical Biology · doi:10.1007/s00285-008-0216-9 · Cited by 363
Self-citation3D Multi-Cell Simulation of Tumor Growth and Angiogenesis
Shirinifard, A., Gens, J. S., Zaitlen, B. L., Popławski, N. J., Swat, M., & Glazier, J. A. (2009) · PLoS ONE · doi:10.1371/journal.pone.0007190 · Cited by 277
Metadata
- Authors
- Chaplain, M. A. J., McDougall, S. R., & Anderson, A. R. A.
- Venue
- Annual Review of Biomedical Engineering
- Publisher
- Annual Reviews
- Published
- 2006-08-01
- Volume
- 8
- Issue
- 1
- Pages
- 233-257
- ISSN
- 1523-9829 (ISSN-L)
- 1545-4274
- OpenAlex
- W2122913894
- Cited by
- 255
- References
- 10
- FWCI
- 3.00
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: MATHEMATICAL MODELING OF TUMOR-INDUCED ANGIOGENESIS. https://app.cochat.ai/papers/10.1146/annurev.bioeng.8.061505.095807
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- Chaplain, M. A. J., McDougall, S. R., & Anderson, A. R. A. (2006). MATHEMATICAL MODELING OF TUMOR-INDUCED ANGIOGENESIS. Annual Review of Biomedical Engineering. https://doi.org/10.1146/annurev.bioeng.8.061505.095807
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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.
