Quantifying glioma cell growth and invasion in vitro

Mathematical and Computer Modelling

Volumn 47, Issue 5-6, 2008, Pages 638-648

  Swanson, Kristin R ^a,b  

^a UNIVERSITY OF WASHINGTON   (United States)

^b UNIVERSITY OF WASHINGTON   (United States)

Author keywords

Brain tumor; Glioma; Invasion; Mathematical model

Indexed keywords

BRAIN; CELL GROWTH; DATA ACQUISITION; MATHEMATICAL MODELS; NUMERICAL METHODS; ONCOGENIC VIRUSES;

BRAIN TUMORS; GLIOMA CELL GROWTH; GLIOMAS; GLIOMAS CELLS; INVASION;

TUMORS;

EID: 38849085200     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2007.02.024     Document Type: Article

References (24)

1. Nazzaro J.M., and Neuwelt E.A. The role of surgery in the management of supranterorial intermediate and high-grade astrocyomas in adults. Journal of Neurosurgery 73 (1990) 331-344
2. K.R. Swanson, Mathematical modeling of the growth and control of tumors, Ph.D. Thesis, University of Washington, 1999
3. Swanson K.R., Alvord Jr. E.C., and Murray J.D. A quantitative model for differential motility of gliomas in grey and white matter. Cell Proliferation 33 (2000) 317-329
4. Swanson K.R., Alvord Jr. E.C., and Murray J.D. Virtual brain tumours (gliomas) enhance the reality of medical imaging and highlight inadequacies of current therapy. British Journal of Cancer 86 (2002) 14-18
5. Murray J.D. Mathematical Biology. 3rd ed. (2002), Springer-Verlag
6. Chicoine M.R., and Silbergeld D.L. Assessment of brain tumor cell motility in vivo and in vitro. Journal of Neurosurgery 82 (1995) 615-622
7. Giese A., Schroder R., Steiner A., and Westphal M. Migration of human glioma cells in response to tumour cyst fluids. Acta Neurochirurgica 138 (1996) 1331-1340
8. Silbergeld D.L., and Chicoine M.R. Isolation and characterization of human malignant glioma cells from histologically normal brain. Journal of Neurosurgery 86 (1997) 525-531
9. Giese A., Kluwe L., Laube B., Meissner H., Berens M., and Westphal M. Migration of human glioma cells on myelin. Neurosurgery 38 (1996) 755-764
10. Giese A., and Westphal M. Glioma invasion in the central nervous system. Neurosurgery 39 (1996) 235-252
11. Giese A., Loo M.A., Tran N., Haskett D., Coons S.W., and Berens M.E. Dichotomy of astrocytoma migration and proliferation. International Journal of Cancer 67 (1996) 275-282
12. Pilkington G.J. The paradox of neoplastic glial cell invasion of the brain and apparent metastatic failure. Anticancer Research 17 (1997) 4103-4106
13. Pilkington G.J. In vitro and in vivo models for the study of brain tumor invasion. Anticancer Research 17 (1997) 4107-4110
14. Uhm J.H., Dooly N.P., Villemure J.G., and Yong V.W. Mechanisms of glioma invasion: Role of matrix-metalloproteinases. Canadian Journal of Neurological Science 24 (1997) 3-15
15. Amberger V.R., Hensel T., Ogata N., and Schwab M.E. Spreading and migration of human glioma and rat c6 cells on central nervous system myelin in vitro is correlated with tumor malignancy and involves a metalloproteolytic activity. Cancer Research 58 (1998) 149-158
16. Ohnishi T., Matsumara H., Izumoto S., Hiraga S., and Hayakawa T. A novel model of glioma cell invasion using organotypic brain slice culture. Cancer Research 58 (1998) 2935-2940
17. Giese A., Laube B., Zapf S., Mangold U., and Westphal M. Glioma cell adhesion and migration on human brain sections. Anticancer Research 18 (1998) 2435-2448
18. Westermark R., Magnusson A., and Heldin C.H. Effect of epidermal growth factors on membrane motility and cell locomotion in cultures of human clonal glioma cells. Journal of Neuroscience Research 8 (1982) 491-507
19. Cruywagen G.C., Woodward D.E., Tracqui P., Bartoo G.T., Murray J.D., and Alvord Jr. E.C. The modeling of diffusive tumours. Journal of Biological Systems 3 (1995) 937-945
20. Woodward D.E., Cook J., Tracqui P., Cruywagen G.C., Murray J.D., and Alvord Jr. E.C. A mathematical model of glioma growth: The effect of extent of surgical resection. Cell Proliferation 29 (1996) 269-288
21. Tracqui P., Cruywagen G.C., Woodward D.E., Bartoo G.T., Murray J.D., and Alvord Jr. E.C. A mathematical model of glioma growth: The effect of chemotherapy on spatio-temporal growth. Cell Proliferation 28 (1995) 17-31
22. Burgess P.K., Kulesa P.M., Murray J.D., and Alvord Jr. E.C. The interaction of growth rates and diffusion coefficients in a three-dimensional mathematical model of gliomas. Journal of Neuropathlogy and Experimental Neurology 56 (1997) 704-713
23. Chicoine M.R., Madsen C.L., and Silbergeld D.L. Modification of human glioma locomotion in vitro by cytokines EGF, BFGF, PDGFBB, NGF, and TNFα. Neurosurgery 36 (1995) 1165-1171
24. Råde L., and Westergren B. Beta β Mathematics Handbook. 2nd ed. (1990), CRC Press, Boca Raton