The DOI matches its Crossref record; 20 of the 20 references it cites were found in a registry or an index.
Nonlinear simulation of tumor growth
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Citations
Cites
GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
Saad, Y., & Schultz, M. H. (1986) · SIAM Journal on Scientific and Statistical Computing · doi:10.1137/0907058 · Cited by 11,154
Inverse Acoustic and Electromagnetic Scattering Theory
Colton, D., & Kress, R. (2013) · Applied Mathematical Sciences · doi:10.1007/978-1-4614-4942-3 · Cited by 3,989
Cell and environment interactions in tumor microregions: the multicell spheroid model.
Sutherland, R. M. (1988) · Science · doi:10.1126/science.2451290 · Cited by 1,803
Models for the Growth of a Solid Tumor by Diffusion
Greenspan, H. P. (1972) · Studies in Applied Mathematics · doi:10.1002/sapm1972514317 · Cited by 581
Growth of nonnecrotic tumors in the presence and absence of inhibitors
Byrne, H. M., & Chaplain, M. A. J. (1995) · Mathematical Biosciences · doi:10.1016/0025-5564(94)00117-3 · Cited by 467
On the growth and stability of cell cultures and solid tumors
Greenspan, H. P. (1976) · Journal of Theoretical Biology · doi:10.1016/s0022-5193(76)80054-9 · Cited by 447
Multicellular spheroids: A review on cellular aggregates in cancer research
Mueller-Klieser, W. (1987) · Journal of Cancer Research and Clinical Oncology · doi:10.1007/bf00391431 · Cited by 434
Simulated Brain Tumor Growth Dynamics Using a Three-Dimensional Cellular Automaton
KANSAL, A. R., TORQUATO, S., HARSH, G. R., CHIOCCA, E. A., & DEISBOECK, T. S. (2000) · Journal of Theoretical Biology · doi:10.1006/jtbi.2000.2000 · Cited by 431
Bellomo, N., & Preziosi, L. (2000) · Mathematical and Computer Modelling · doi:10.1016/s0895-7177(00)00143-6 · Cited by 301
Netti, P. A., Baxter, L. T., Boucher, Y., Skalak, R., & Jain, R. K. (1995) · PubMed · Cited by 263
Cited by
Dissecting cancer through mathematics: From the cell to the animal model
Byrne, H. M. (2010) · Nature reviews. Cancer · doi:10.1038/nrc2808 · Cited by 442
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
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-citationEmerging tumor spheroids technologies for 3D in vitro cancer modeling
Rodrigues, T., Kundu, B., Silva-Correia, J., Kundu, S. C., Oliveira, J. M., Reis, R. L., & Correlo, V. M. (2018) · Pharmacology & Therapeutics · doi:10.1016/j.pharmthera.2017.10.018 · Cited by 178
Koay, E. J., Lee, Y., Cristini, V., Lowengrub, J. S., Kang, Y., Lucas, F. A. S., Hobbs, B. P., Ye, R., Elganainy, D., Almahariq, M., et al. (2018) · Clinical Cancer Research · doi:10.1158/1078-0432.ccr-17-3668 · Cited by 110
Self-citation
Metadata
- Authors
- Cristini, V., Lowengrub, J., & Nie, Q.
- Venue
- Journal of Mathematical Biology
- Published
- 2003-03-01
- Volume
- 46
- Issue
- 3
- Pages
- 191-224
- ISSN
- 0303-6812 (ISSN-L)
- 1432-1416
- OpenAlex
- W2090683259
- Cited by
- 294
- References
- 20
- FWCI
- 12.48
- Type
- journal article
- Language
- en
- Open access
- closed
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- Cristini, V., Lowengrub, J., & Nie, Q. (2003). Nonlinear simulation of tumor growth. Journal of Mathematical Biology. https://doi.org/10.1007/s00285-002-0174-6
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.