메뉴 건너뛰기




Volumn 216, Issue 1, 2003, Pages 1-10

Virtual and real brain tumors: Using mathematical modeling to quantify glioma growth and invasion

Author keywords

Glioma; Mathematical model; Tumor growth; Tumor invasion

Indexed keywords

BRAIN TISSUE; BRAIN TUMOR; CANCER CHEMOTHERAPY; CANCER GROWTH; CANCER INVASION; CANCER SURGERY; CANCER SURVIVAL; COMPUTER SIMULATION; GLIOMA; GLIOMA CELL; GRAY MATTER; MATHEMATICAL MODEL; NUCLEAR MAGNETIC RESONANCE IMAGING; PRIORITY JOURNAL; REVIEW; SURVIVAL TIME; TUMOR GROWTH; WHITE MATTER;

EID: 0242607878     PISSN: 0022510X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jns.2003.06.001     Document Type: Review
Times cited : (509)

References (50)
  • 1
    • 0001791115 scopus 로고
    • Neoplasms affecting the nervous system of the elderly
    • S. Duckett. Philadelphia: Lea and Fabiger
    • Alvord E.C. Jr., Shaw C.M. Neoplasms affecting the nervous system of the elderly. Duckett S. The Pathology of the Aging Human Nervous System. 1991;210-286 Lea and Fabiger, Philadelphia.
    • (1991) The Pathology of the Aging Human Nervous System , pp. 210-286
    • Alvord E.C., Jr.1    Shaw, C.M.2
  • 2
    • 0025877114 scopus 로고
    • The cause of death in patients with glioblastoma is multifactorial: Clinical factors and autopsy findings in 117 cases of supratentorial glioblastoma in adults
    • Silbergeld D.L., Rostomily R.C., Alvord E.C. Jr. The cause of death in patients with glioblastoma is multifactorial: clinical factors and autopsy findings in 117 cases of supratentorial glioblastoma in adults. J. Neurol. Oncol. 10:1991;179-185.
    • (1991) J. Neurol. Oncol. , vol.10 , pp. 179-185
    • Silbergeld, D.L.1    Rostomily, R.C.2    Alvord E.C., Jr.3
  • 3
    • 0028997288 scopus 로고
    • The influence of volumetric tumor doubling time, DNA ploidy, and histologic grade on the survival of patients with intracranial astrocytomas
    • Blankenberg F.G., Teplitz R.L., Ellis W., Salamat M.S., Min B.H., Hall L.et al. The influence of volumetric tumor doubling time, DNA ploidy, and histologic grade on the survival of patients with intracranial astrocytomas. AJNR Am. J. NeuroRad. 16:1995;1001-1012.
    • (1995) AJNR Am. J. NeuroRad. , vol.16 , pp. 1001-1012
    • Blankenberg, F.G.1    Teplitz, R.L.2    Ellis, W.3    Salamat, M.S.4    Min, B.H.5    Hall, L.6
  • 5
    • 0031018888 scopus 로고    scopus 로고
    • Isolation and characterization of human malignant glioma cells from histologically normal brain
    • Silbergeld D.L., Chicoine M.R. Isolation and characterization of human malignant glioma cells from histologically normal brain. J. Neurosurg. 86:1997;525-531.
    • (1997) J. Neurosurg. , vol.86 , pp. 525-531
    • Silbergeld, D.L.1    Chicoine, M.R.2
  • 6
    • 0003475470 scopus 로고    scopus 로고
    • Mathematical Biology
    • New York, NY: Springer-Verlag
    • Murray J.D. Mathematical Biology. 3rd ed. 2002;Springer-Verlag, New York, NY.
    • (2002) 3rd ed.
    • Murray, J.D.1
  • 9
    • 0001628564 scopus 로고
    • On the law of growth in Jensen's rat sarcoma
    • Mayneord W.V. On the law of growth in Jensen's rat sarcoma. Am. J. Cancer. 16:1932;841-846.
    • (1932) Am. J. Cancer , vol.16 , pp. 841-846
    • Mayneord, W.V.1
  • 10
    • 0017611079 scopus 로고
    • Hypothesis: Growth rates of epidermoid tumors
    • Alvord E.C. Jr. Hypothesis: growth rates of epidermoid tumors. Ann. Neurol. 2:1977;367-370.
    • (1977) Ann. Neurol. , vol.2 , pp. 367-370
    • Alvord E.C., Jr.1
  • 11
    • 0035030266 scopus 로고    scopus 로고
    • Pattern of self-organization in tumor systems: Complex growth dynamics in a novel brain tumor spheroid model
    • Deisboeck T. Pattern of self-organization in tumor systems: complex growth dynamics in a novel brain tumor spheroid model. Cell Prolif. 34:2001;115-134.
    • (2001) Cell Prolif. , vol.34 , pp. 115-134
    • Deisboeck, T.1
  • 16
    • 0030832962 scopus 로고    scopus 로고
    • The interaction of growth rates and diffusion coefficients in a three-dimensional mathematical model of gliomas
    • Burgess P.K., Kulesa P.M., Murray J.D., Alvord E.C. Jr. The interaction of growth rates and diffusion coefficients in a three-dimensional mathematical model of gliomas. J. Neuropathol. Exp. Neurol. 56:1997;704-713.
    • (1997) J. Neuropathol. Exp. Neurol. , vol.56 , pp. 704-713
    • Burgess, P.K.1    Kulesa, P.M.2    Murray, J.D.3    Alvord E.C., Jr.4
  • 18
    • 0033752019 scopus 로고    scopus 로고
    • A quantitative model for differential motility of gliomas in grey and white matter
    • Swanson K.R., Alvord E.C. Jr., Murray J.D. A quantitative model for differential motility of gliomas in grey and white matter. Cell Prolif. 2000;317-330.
    • (2000) Cell Prolif. , pp. 317-330
    • Swanson, K.R.1    Alvord E.C., Jr.2    Murray, J.D.3
  • 20
    • 0036941569 scopus 로고    scopus 로고
    • Quantifying efficacy of chemotherapy of brain tumors (gliomas) with homogeneous and heterogeneous drug delivery
    • Swanson K.R., Alvord E.C. Jr., Murray J.D. Quantifying efficacy of chemotherapy of brain tumors (gliomas) with homogeneous and heterogeneous drug delivery. Acta Biotheor. 50:2003;223-237.
    • (2003) Acta Biotheor. , vol.50 , pp. 223-237
    • Swanson, K.R.1    Alvord E.C., Jr.2    Murray, J.D.3
  • 21
    • 0037560896 scopus 로고    scopus 로고
    • Virtual resection of gliomas: Effects of location and extent of resection on recurrence
    • [in press]
    • Swanson K.R., Alvord E.C. Jr., Murray J.D. Virtual resection of gliomas: effects of location and extent of resection on recurrence. Math. Comput. Model. 2003;. [in press].
    • (2003) Math. Comput. Model.
    • Swanson, K.R.1    Alvord E.C., Jr.2    Murray, J.D.3
  • 22
    • 0037033735 scopus 로고    scopus 로고
    • Virtual brain tumors (gliomas) enhance the reality of medical imaging and highlight inadequacies of current therapy
    • Swanson K.R., Alvord E.C. Jr., Murray J.D. Virtual brain tumors (gliomas) enhance the reality of medical imaging and highlight inadequacies of current therapy. Br. J. Can. 86:2002;14-18.
    • (2002) Br. J. Can. , vol.86 , pp. 14-18
    • Swanson, K.R.1    Alvord E.C., Jr.2    Murray, J.D.3
  • 25
    • 21544432712 scopus 로고    scopus 로고
    • Brainweb: Online interface to a 3D MRI simulated brain database
    • Cocosco C.A., Kollokian V., Kwan R.K.S., Evans A.C. Brainweb: online interface to a 3D MRI simulated brain database. Neuroimage. 5:1997;S425.
    • (1997) Neuroimage , vol.5 , pp. 425
    • Cocosco, C.A.1    Kollokian, V.2    Kwan, R.K.S.3    Evans, A.C.4
  • 27
    • 0028891692 scopus 로고
    • Comparison of sterotactic radiosurgery and brachytherapy in the treatment of recurrent glioblastoma multiforme
    • Shrieve D.C., Alexander E. III, Wen P.Y., Kooy H.M., Black P.M., Loeffler J.S. Comparison of sterotactic radiosurgery and brachytherapy in the treatment of recurrent glioblastoma multiforme. Neurosurgery. 36:1995;275-282.
    • (1995) Neurosurgery , vol.36 , pp. 275-282
    • Shrieve, D.C.1    Alexander E. III2    Wen, P.Y.3    Kooy, H.M.4    Black, P.M.5    Loeffler, J.S.6
  • 29
    • 0023937697 scopus 로고
    • Topographic anatomy and CT correlations in the untreated glioblastoma multiforme
    • Burger P.C., Heinz E.R., Shibata T., Kleihues P. Topographic anatomy and CT correlations in the untreated glioblastoma multiforme. J. Neurosurg. 68:1988;698-704.
    • (1988) J. Neurosurg. , vol.68 , pp. 698-704
    • Burger, P.C.1    Heinz, E.R.2    Shibata, T.3    Kleihues, P.4
  • 30
    • 0001823068 scopus 로고
    • The extent of intracranial gliomata at autopsy and its relation to techniques used in radiation therapy of brain tumors
    • Concannon J.C., Kramer S., Berry R. The extent of intracranial gliomata at autopsy and its relation to techniques used in radiation therapy of brain tumors. Am. J. Roentgenol. Radium Ther. Nucl. Med. 84:1960;99-107.
    • (1960) Am. J. Roentgenol. Radium Ther. Nucl. Med. , vol.84 , pp. 99-107
    • Concannon, J.C.1    Kramer, S.2    Berry, R.3
  • 31
    • 0030744927 scopus 로고    scopus 로고
    • Heterogeneity of chemosensitivity in six clonal cell lines derived from a spontaneous murine astrocytoma and its relationship to genotypic and phenotypic characteristics
    • Bradford R., Koppel H., Pilkington G.J., Thomas D.G., Darling J.L. Heterogeneity of chemosensitivity in six clonal cell lines derived from a spontaneous murine astrocytoma and its relationship to genotypic and phenotypic characteristics. J. Neurol. Oncol. 34:1997;247-261.
    • (1997) J. Neurol. Oncol. , vol.34 , pp. 247-261
    • Bradford, R.1    Koppel, H.2    Pilkington, G.J.3    Thomas, D.G.4    Darling, J.L.5
  • 32
    • 0028929803 scopus 로고
    • Angiogenesis in cancer, vascular, rheumatoid and other diseases
    • Folkman J. Angiogenesis in cancer, vascular, rheumatoid and other diseases. Nat. Med. 1:1995;27-31.
    • (1995) Nat. Med. , vol.1 , pp. 27-31
    • Folkman, J.1
  • 33
    • 0034470377 scopus 로고    scopus 로고
    • Mathematical modelling of angiogenesis
    • Chaplain M. Mathematical modelling of angiogenesis. J. Neurol. Oncol. 50:2000;37-51.
    • (2000) J. Neurol. Oncol. , vol.50 , pp. 37-51
    • Chaplain, M.1
  • 34
    • 0036664608 scopus 로고    scopus 로고
    • Mathematical modelling of flow through vascular networks: Implications for tumor-induced angiogenesis and chemotherapy strategies
    • McDougall S.R., Anderson A.R.A., Chaplain M.A.J., Sherratt J.A. Mathematical modelling of flow through vascular networks: implications for tumor-induced angiogenesis and chemotherapy strategies. Bull. Math. Biol. 64:2002;673-702.
    • (2002) Bull. Math. Biol. , vol.64 , pp. 673-702
    • McDougall, S.R.1    Anderson, A.R.A.2    Chaplain, M.A.J.3    Sherratt, J.A.4
  • 35
    • 0033822142 scopus 로고    scopus 로고
    • A mathematical model for comparison of bolus injection, continuous infusion, and liposomal delivery of doxorubicin to tumor cells
    • El-Kareh A., Secomb T.W. A mathematical model for comparison of bolus injection, continuous infusion, and liposomal delivery of doxorubicin to tumor cells. Neoplasia. 2:2000;325-338.
    • (2000) Neoplasia , vol.2 , pp. 325-338
    • El-Kareh, A.1    Secomb, T.W.2
  • 36
    • 0028089216 scopus 로고
    • The limited value of cytoreductive surgery in elderly patients with malignant gliomas
    • Kelly P.J., Hunt C. The limited value of cytoreductive surgery in elderly patients with malignant gliomas. Neurosurgery. 34:1994;62-67.
    • (1994) Neurosurgery , vol.34 , pp. 62-67
    • Kelly, P.J.1    Hunt, C.2
  • 37
    • 0027415401 scopus 로고
    • Surgical resection and radiation therapy versus biopsy and radiation therapy in the treatment of glioblastoma multiforme
    • Kreth F.W., Warnke P.C., Scheremet R., Ostertag C.B. Surgical resection and radiation therapy versus biopsy and radiation therapy in the treatment of glioblastoma multiforme. J. Neurosurg. 78:1993;762-766.
    • (1993) J. Neurosurg. , vol.78 , pp. 762-766
    • Kreth, F.W.1    Warnke, P.C.2    Scheremet, R.3    Ostertag, C.B.4
  • 38
    • 0028932415 scopus 로고
    • Assesment of brain tumor cell motility in vivo and in vitro
    • Chicoine M.R., Silbergeld D.L. Assesment of brain tumor cell motility in vivo and in vitro. J. Neurosurg. 82:1995;615-622.
    • (1995) J. Neurosurg. , vol.82 , pp. 615-622
    • Chicoine, M.R.1    Silbergeld, D.L.2
  • 39
    • 0025813328 scopus 로고
    • Simple model of recurrent gliomas
    • Alvord E.C. Jr. Simple model of recurrent gliomas. J. Neurosurg. 75:1991;337-338.
    • (1991) J. Neurosurg. , vol.75 , pp. 337-338
    • Alvord E.C., Jr.1
  • 41
    • 0242572666 scopus 로고    scopus 로고
    • Pre-operative MRI imaging characteristics and tumor volumes and outcome for adult patients with previously untreated glioblastomas
    • Kennedy G., Rizvi A., Goodkin R., Barber J., Ojemann G., Winn H.R.et al. Pre-operative MRI imaging characteristics and tumor volumes and outcome for adult patients with previously untreated glioblastomas. Neurol. Oncol. 3:2001;343-344.
    • (2001) Neurol. Oncol. , vol.3 , pp. 343-344
    • Kennedy, G.1    Rizvi, A.2    Goodkin, R.3    Barber, J.4    Ojemann, G.5    Winn, H.R.6
  • 45
    • 0032828228 scopus 로고    scopus 로고
    • Tumor volume and growth kinetics in hypothalamic-chiasmatic pediatric low-grade gliomas
    • Lazareff J.A., Suwinski R., De Rosa R., Olmstead C.E. Tumor volume and growth kinetics in hypothalamic-chiasmatic pediatric low-grade gliomas. Pediatr. Neurosurg. 1999;312-319.
    • (1999) Pediatr. Neurosurg. , pp. 312-319
    • Lazareff, J.A.1    Suwinski, R.2    De Rosa, R.3    Olmstead, C.E.4
  • 46
    • 0023856350 scopus 로고
    • Gliomas of the optic nerve or chiasm: Outcome by patients' age, tumor site, and treatment
    • Alvord E.C. Jr., Lofton S. Gliomas of the optic nerve or chiasm: outcome by patients' age, tumor site, and treatment. J. Neurosurg. 68:1988;85-98.
    • (1988) J. Neurosurg. , vol.68 , pp. 85-98
    • Alvord E.C., Jr.1    Lofton, S.2
  • 47
    • 4243858209 scopus 로고
    • Growth rates in optic gliomas
    • New York: National Neurofibromatosis Foundation
    • Alvord E.C. Jr. Growth rates in optic gliomas. Optic gliomas in neurofibromatosis. vol. 2:1989;99-119 National Neurofibromatosis Foundation, New York.
    • (1989) Optic gliomas in neurofibromatosis , vol.2 , pp. 99-119
    • Alvord E.C., Jr.1
  • 48
    • 0038640244 scopus 로고    scopus 로고
    • A mathematical model for self-limiting tumors
    • Newman W., Lazareff J. A mathematical model for self-limiting tumors. J. Theor. Biol. 222:2003;361-371.
    • (2003) J. Theor. Biol. , vol.222 , pp. 361-371
    • Newman, W.1    Lazareff, J.2
  • 49
    • 0034871451 scopus 로고    scopus 로고
    • A multivariate analysis of 416 patients with glioblastoma multiforme: Prognosis, extent of resection, and survival
    • Lacroix M., Abi-Said D., Fourney D.R., Gokaslan Z.L., Shi W.M., DeMonte F.et al. A multivariate analysis of 416 patients with glioblastoma multiforme: prognosis, extent of resection, and survival. J. Neurosurg. 95:2001;190-198.
    • (2001) J. Neurosurg. , vol.95 , pp. 190-198
    • Lacroix, M.1    Abi-Said, D.2    Fourney, D.R.3    Gokaslan, Z.L.4    Shi, W.M.5    DeMonte, F.6
  • 50
    • 26544449233 scopus 로고    scopus 로고
    • Investigations: Neuropathology
    • A.J. Moore, & D.W. Newell. London: Springer-Verlag. In Press
    • Shaw C.M., Alvord E.C. Jr. Investigations: neuropathology. Moore A.J., Newell D.W. Interventional neurosurgical practices. 2003;Springer-Verlag, London. In Press.
    • (2003) Interventional neurosurgical practices
    • Shaw, C.M.1    Alvord E.C., Jr.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.