Abstract
Gliomas are brain tumours that differ from most other cancers by their diffuse invasion of the surrounding normal tissue and their notorious recurrence following all forms of therapy. We have developed a mathematical model to quantify the spatio-temporal growth and invasion of gliomas in three dimensions throughout a virtual human brain. The model quantifies the extent of tumorous invasion of individual gliomas in three-dimensions to a degree beyond the limits of present medical imaging, including even microscopy, and makes clear why current therapies based on existing imaging techniques are inadequate and cannot be otherwise without other methods for detecting tumour cells in the brain. The model's estimate of the extent of tumourous invasion beyond that defined by standard medical imaging can be useful in more accurately planning therapy regimes as well as predicting sites of potential recurrence without waiting for reemergence on follow-up imaging.
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References
Alvord Jr EC, Shaw CM (1991) Neoplasm affecting the nervous system in the elderly. In The Pathology of the Aging Human Nervous System Duckett S (ed) pp210–281, Philadelphia: Lea & Febiger
Burgess PK, Kulesa PM, Murray JD, Alvord Jr EC (1997) The interaction of growth rates and diffusion coefficients in a three-dimensional mathematical model of gliomas. J Neuropathol Exp Neurol 56: 704–713
Collins DL, Zijdenbos AP, Kollokian V, Sled JG, Kabani NJ, Holmes CJ, Evans AC (1998) Design and construction of a realistic digital brain phantom. IEEE Trans Med Imag 17: 463–468
Cruywagen GC, Woodward DE, Tracqui P, Bartoo GT, Murray JD, Alvord Jr EC (1995) The modeling of diffusive tumors. J Biol Systems 3: 937–945
Gaspar LE, Fisher BJ, Macdonald DR, LeBer DV, Halperin EC, Schold SC, Cairncross JG (1992) Supratentorial malignant gliomas: patterns of recurrence and implications for external beam local treatment. Int J Radiat Oncol Biol Phys 24: 55–57
Giese A, Kluwe L, Laube B, Meissner H, Berens ME, Westphal M (1996) Migration of human glioma cells on myelin. Neurosurgery 38: 755–764
Jelsma R, Bucy PC (1967) The treatment of glioblastoma multiforme of the brain. J Neurosurg 27: 388–392
Kelly PJ, Hunt C (1987) Imaging-based sterotaxic serial biopsies in untreated intracranial glial neoplasms. J Neurosurg 66: 865–874
Kreth FW, Warnke PC, Scheremet R, Ostertag CB (1993) Surgical resection and radiation therapy versus biopsy and radiation therapy in the treatment of glioblastoma multiforme. J Neurosurg 78: 762–766
Liang BC, Weil M (1998) Locoregional approaches to therapy with gliomas as the paradigm. Curr Opin Oncol 10: 201–206
Matsukado Y et al (1961) The growth of glioblastoma multiforme (astrocytomas, grades 3 and 4) in neurosurgical practice. J Neurosurg 18: 636–644
Murray JD (1993) Mathematical Biology. Berlin: Springer-Verlag
Nazzaro JM, Neuwelt EA (1990) The role of surgery in the management of supratentorial intermediate and high-grade astrocytomes in adults. J Neurosurg 73: 331–344
Silbergeld DL, Rostomily RC, Alvord Jr EC (1991) The cause of death in patients with glioblastoma is multifactorial: Clinical factors and autopsy findings in 117 cases of suprantentorial glioblastoma in adults. J Neuro-Oncol 10: 179–185
Silbergeld DL, Chicoine MR (1997) Isolation and characterization of human malignant glioma cells from histologically normal brain. J Neurosurg 86: 525–531
Swanson KR (1999) Mathematical Modeling of the Growth and Control of Tumors PhD Thesis Washington: University of Washington
Swanson KR, Alvord Jr EC, Murray JD (2000) A quantitative model for differential motility of gliomas in grey and white matter. Cell Prolif 33: 317–329
Tracqui P, Cruywagen GC, Woodard DE, Bartoo GT, Murray JD, Alvord Jr EC (1995) A mathematical model of glioma growth: the effect of chemotherapy on spatio-temporal growth. Cell Prolif 28: 17–31
Woodward DE, Cook J, Tracqui P, Cruywagen GC, Murray JD, Alvord Jr EC (1996) A mathematical model of glioma growth: the effect of extent of surgical resection. Cell Prolif 29: 269–288
Acknowledgements
KR Swanson acknowledges the support of the Mathematical Biology Training Grant, the Academic Pathology Fund and the National Science Foundation Mathematical Sciences Postdoctoral Research Fellowship. This work (KR Swanson, JD Murray) was supported in part by the US National Science Foundation and (JD Murray) by the US National Institutes of Health. EC Alvord acknowledges the support of a grant from the National Institutes of Health to the Center on Human Development and Disability.
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Swanson, K., Alvord, E. & Murray, J. Virtual brain tumours (gliomas) enhance the reality of medical imaging and highlight inadequacies of current therapy. Br J Cancer 86, 14–18 (2002). https://doi.org/10.1038/sj.bjc.6600021
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DOI: https://doi.org/10.1038/sj.bjc.6600021
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