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Cited by 484

The DOI matches its Crossref record; 72 of the 72 references it cites were found in a registry or an index.

Three-dimensional multispecies nonlinear tumor growth—I

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Wise, S.M., Lowengrub, J.S., Frieboes, H.B., Cristini, V.·2008·Journal of Theoretical Biology
DOI 10.1016/j.jtbi.2008.03.027
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Citations

Cites

Show all 72 references

Research works printed but not linked: 23

  1. Anderson, 1998, Diffuse-interface methods in fluid mechanics, Ann. Rev. Fluid Mech., 30, 139, 10.1146/annurev.fluid.30.1.139 · doi:10.1146/annurev.fluid.30.1.139
  2. Armstrong, 1971, Light and electron microscope studies of cell sorting in combinations of chick embryo and neural retina and retinal pigment epithelium, Wilhelm Roux Arch., 168, 125, 10.1007/BF00581804 · doi:10.1007/bf00581804
  3. Badalessi, 2003, Computation of multiphase systems with phase field models, J. Comput. Phys., 190, 371, 10.1016/S0021-9991(03)00280-8 · doi:10.1016/s0021-9991(03)00280-8
  4. Ben-Amar, 2005, Growth and instability in elastic tissues, J. Mech. Phys. Solids, 53, 2284, 10.1016/j.jmps.2005.04.008 · doi:10.1016/j.jmps.2005.04.008
  5. Byrne, 2003, A two-phase model of solid tumor growth, Appl. Math. Lett., 16, 567, 10.1016/S0893-9659(03)00038-7 · DOI · Paper page
  6. Chen, 2003, A free boundary problem for an elliptic–hyperbolic system: an application to tumor growth, SIAM J. Math. Anal., 35, 974, 10.1137/S0036141002418388 · doi:10.1137/s0036141002418388
  7. Cohen, 1981, A generalized diffusion model for growth and dispersal in a population, J. Math. Biol., 12, 237, 10.1007/BF00276132 · doi:10.1007/bf00276132
  8. Franks, 2003, Interactions between a uniformly proliferating tumor and its surrounding. Uniform material properties, Math. Med. Biol., 20, 47, 10.1093/imammb/20.1.47 · doi:10.1093/imammb/20.1.47
  9. Franks, 2003, Mathematical modeling of comedo ductal carcinoma in situ of the breast, Math. Med. Biol., 20, 277, 10.1093/imammb/20.3.277 · doi:10.1093/imammb/20.3.277
  10. Friedman, 1999, Analysis of a mathematical model for the growth of tumors, J. Math. Biol., 38, 262, 10.1007/s002850050149 · doi:10.1007/s002850050149
  11. Hogea, 2006, Simulating complex tumor dynamics from avascular to vascular growth using a general level-set method, J. Math. Biol., 53, 86, 10.1007/s00285-006-0378-2 · doi:10.1007/s00285-006-0378-2
  12. Jou, 1998, A diffuse interface model for microstructural evolution in elastically stressed solids, Acta Mater., 46, 2113, 10.1016/S1359-6454(97)00377-7 · doi:10.1016/s1359-6454(97)00377-7
  13. Kim, 2005, A continuous surface tension force formulation for diffuse-interface models, J. Comput. Phys., 204, 784, 10.1016/j.jcp.2004.10.032 · doi:10.1016/j.jcp.2004.10.032
  14. Kim, 2003, Conservative multigrid methods for Cahn–Hilliard fluids, J. Comput. Phys., 193, 511, 10.1016/j.jcp.2003.07.035 · doi:10.1016/j.jcp.2003.07.035
  15. Lee, 2002, Modeling pinchoff and reconnection in a Hele–Shaw cell. I. The models and their calibration, Phys. Fluids, 2, 492, 10.1063/1.1425843 · doi:10.1063/1.1425843
  16. Lowengrub, 1998, Cahn–Hilliard fluids and topological transitions, Proc. R. Soc. London A, 454, 2617, 10.1098/rspa.1998.0273 · doi:10.1098/rspa.1998.0273
  17. Lubarda, 2002, On the mechanics of solids with a growing mass, Int. J. Solids Struct., 39, 4627, 10.1016/S0020-7683(02)00352-9 · doi:10.1016/s0020-7683(02)00352-9
  18. Macklin, 2005, Evolving interfaces via gradients of geometry-dependent interior Poisson problems: application to tumor growth, J. Comput. Phys., 203, 191, 10.1016/j.jcp.2004.08.010 · doi:10.1016/j.jcp.2004.08.010
  19. Macklin, 2006, An improved geometry-aware curvature discretization for level set methods: application to tumor growth, J. Comput. Phys., 215, 392, 10.1016/j.jcp.2005.11.016 · doi:10.1016/j.jcp.2005.11.016
  20. Macklin, P., Lowengrub, J., 2007. A new ghost cell/level set method for moving boundary problems: application to tumor growth. J. Sci. Comput., in press, doi:10.1007/S10915-008-9190-Z. · doi:10.1007/s10915-008-9190-z
  21. Pego, 1989, Front migration in the nonlinear Cahn–Hilliard equation, Proc. R. Soc. London A, 422, 261, 10.1098/rspa.1989.0027 · doi:10.1098/rspa.1989.0027
  22. Wise, 2007, Solving the regularized, strongly anisotropic Chan–Hilliard equation by an adaptive nonlinear multigrid method, J. Comput. Phys., 226, 414, 10.1016/j.jcp.2007.04.020 · doi:10.1016/j.jcp.2007.04.020
  23. Yue, 2005, Computation of multiphase systems with phase field models, Phys. Fluids, 17, 123101, 10.1063/1.2139630 · doi:10.1063/1.2139630

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Metadata

Authors
Wise, S. M., Lowengrub, J. S., Frieboes, H. B., & Cristini, V.
Venue
Journal of Theoretical Biology
Publisher
Elsevier BV
Published
2008-08
Volume
253
Issue
3
Pages
524-543
ISSN
0022-5193 (ISSN-L)
DOI
10.1016/j.jtbi.2008.03.027
OpenAlex
W1512153219
Cited by
484
References
72
FWCI
16.73
Type
journal article
Language
en
Open access
green
Licence
www.elsevier.com/tdm/userlicense/1.0/ (tdm)

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CoChat. (2026). Citation check: Three-dimensional multispecies nonlinear tumor growth—I. https://app.cochat.ai/papers/10.1016/j.jtbi.2008.03.027
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Wise, S. M., Lowengrub, J. S., Frieboes, H. B., & Cristini, V. (2008). Three-dimensional multispecies nonlinear tumor growth—I. Journal of Theoretical Biology. https://doi.org/10.1016/j.jtbi.2008.03.027

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.