Virtual glioblastoma: Growth, migration and treatment in a three-dimensional mathematical model

Cell Proliferation

Volumn 42, Issue 4, 2009, Pages 511-528

  Eikenberry, S E ^a   Sankar, T ^b,c   Preul, M C ^b   Kostelich, E J ^a   Thalhauser, C J ^a,d   Kuang, Y ^a  

^a ARIZONA STATE UNIVERSITY   (United States)

^b BARROW NEUROLOGICAL INSTITUTE   (United States)

^c UNIVERSITY OF ALBERTA   (Canada)

^d UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; BRAIN SURGERY; CANCER CHEMOTHERAPY; CANCER MODEL; CANCER RADIOTHERAPY; CANCER RECURRENCE; CELL GROWTH; CELL MIGRATION; CELL PROLIFERATION; GLIOBLASTOMA; MATHEMATICAL MODEL;

BRAIN; BRAIN NEOPLASMS; GLIOBLASTOMA; HUMANS; MODELS, BIOLOGICAL; NEOPLASM INVASIVENESS; SENSITIVITY AND SPECIFICITY; TIME FACTORS;

EID: 67649884820     PISSN: 09607722     EISSN: 13652184     Source Type: Journal    
DOI: 10.1111/j.1365-2184.2009.00613.x     Document Type: Article

References (34)

1. Norden AD, Wen PY (2006) Glioma therapy in adults. Neurologist 12, 279-292.
2. Demuth T, Berens ME (2004) Molecular mechanisms of glioma cell migration and invasion. J. Neurooncol. 70, 217-228.
3. Tracqui P, Cruywagen GC, Woodward DE, Bartooll GT, Murray JD, Alvord EC Jr (1995) A mathematical model of glioma growth: the effect of chemotherapy on spatio-temporal growth. Cell Prolif. 28, 17-31.
4. Woodward DE, Cook J, Tracqui P, Cruywagen GC, Murray JD, Alvord EC (1996) A mathematical model of glioma growth: the effect of extent of surgical resection. Cell Prolif. 29, 269-288.
5. Burgess PK, Kulesa PM, Murray JD, Alvord 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.
6. Tracqui P, Menjeli M (1999) Modelling three-dimensional growth of brain tumours from time series of scans. Math. Model. Meth. Appl. Sci. 9, 581-598.
7. Swanson KR, Alvord EC, Murray JD (2000) A quantitative model for differential motility of gliomas in grey and white matter. Cell Prolif. 33, 317-329.
8. Cocosco CA, Kollokian V, Kwan RKS, Evans AC (1997) BrainWeb: online interface to a 3D MRI simulated brain database. Neuroimage 5, S425.
9. Kwan RKS, Evans AC, Pike GB (1996) An extensible MRI simulator for post-processing evaluation. In: Höhne KH, Kikinis R, eds. Proceedings of the 4th International Conference on Visualization in Biomedical Computing, Vol. 96. London, UK: Springer Verlag, pp. 135-140.
10. Kwan RKS, Evans AC, Pike GB (1999) MRI simulation-based evaluation of image-processing and classification methods. IEEE Trans. Med. Imaging 18, 1085-1097.
11. Collins DL, Zijdenbos AP, Kollokian V, Sled JG, Kabani NJ, Holmes CJ et al. (1998) Design and construction of a realistic digital brain phantom. IEEE Trans. Med. Imaging 17, 463-468.
12. Swanson KR, Bridge C, Murray JD, Alvord EC (2003) Virtual and real brain tumors: using mathematical modeling to quantify glioma growth and invasion. J Neurol. Sci. 216, 1-10.
13. Stein AM, Demuth T, Mobley D, Berens M, Sander L (2007) A mathematical model of glioblastoma tumor spheroid invasion in a 3D in vitro experiment. Biophys. J. 92, 356-365.
14. MacArthur BD, Please CP, Pettet GJ (2005) A mathematical model of dynamic glioma-host interactions: receptor-mediated invasion and local proteolysis. Math. Med. Biol. 22, 247-264.
15. Tysnes BB, Mahesparan R (2001) Biological mechanisms of glioma invasion and potential therapeutic targets. J Neurooncol. 53, 129147.
16. Guillamo JS, Lisovoski F, Christov C, Le Guérinel C, Defer GL, Peschanski M et al. (2001 ) Migration pathways of human glioblastoma cells xenografted into the immunosuppressed rat brain. J Neurooncol. 52, 205-215.
17. Werbowetski T, Bjerkvig R, Del Maestro RF (2004) Evidence for a secreted chemorepellent that directs glioma cell invasion. Jneurobiol. 60, 71-88.
18. Lund-Johansen M, Bjerkvig R, Humphrey PA, Bigner SH, Bigner DD, Laerum OD (1990) Effect of epidermal growth factor on glioma cell growth, migration, and invasion in vitro. Cancer Res. 50, 60396044.
19. Brockmann MA, Ulbricht U, Grüner K, Filibrandt R, Westphal M, Lamszus K (2003) Glioblastoma and cerebral microvascular endothelial cell migration in response to tumor-associated growth factors. Neurosurgery 52, 1391-1399.
20. Kunkel P, Müller S, Schumacher P, Stavrou D, Fillbrandt R, Westphal M et al. (2001) Expression and localization of scatter factor/ hepatocyte growth factor in human astrocytomas. Neuro-Oncology 3, 82-88.
21. Goldbrunner RH, Bernstein JJ, Tonn JC (1999) Cell-extracellular matrix interaction in glioma invasion. Acta Neurochir. 141, 295305.
22. Amberger VR, Hensel T, Ogata N, Schwab ME (1998) 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 Res. 58, 149-158.
23. Jain JK, di Tomaso E, Duda DG, Loeffler JS, Sorenson AG, Batchelor TT (2007) Angiogenesis in brain tumours. Nat. Rev. Neurosci. 8, 610-622.
24. Wild-Bode C, Weller M, Rimner A, Dichgans J, Wick W (2001) Sublethal irradiation promotes migration and invasiveness of glioma cells: implications for radiotherapy of human glioblastoma. Cancer Res. 61, 2744-2750.
25. Thalhauser CJ, Sankar T, Preul MC, Kuang Y (2009) Explicit separation of growth and motility in a new tumor cord model. Bull Math Biol. 71, 585-601.
26. Ohnishi T, Arita N, Hiraga S, Taki T, Izumoto S, Fukushima Y et al. (1997) Fibronectin-mediated cell migration promotes glioma cell invasion through chemokinetic activity. Clin. Exp. Metastasis 15, 538-546.
27. Paemeleire K, Leybaert L (2000) Ionic changes accompanying astrocytic intercellular calcium waves triggered by mechanical cell damaging stimulation. Brain Res. 857, 235-245.
28. Machado CML, Schenka A, Vassallo J, Tamashiro WMSC, Gonçalves EM, Genari SC et al. (2005) Morphological characterization of a human glioma cell line. Cancer Cell Int. 5, 13.
29. Cotter D, Mackay D, Landau S, Kerwin R, Everall I (2001) Reduced glial cell density and neuronal size in the anterior cingulate cortex in major depressive disorder. Arch. Gen. Psychiatry 58, 545-553.
30. Lacroix M, Abi-Said D, Fourney DR, Gokaslan ZL, Shi W, DeMonte F et al. (2001) A multivariate analysis of 416 patients with glioblastoma multiforme: prognosis, extent of resection, and survival. J Neurosurg. 95, 190-198.
31. Laws ER, Parney IF, Huang W, Anderson F, Morris AM, Asher A et al. (2003) Survival following surgery and prognostic factors for recently diagnosed malignant glioma: data from the Glioma Outcomes Project. J Neurosurg. 99, 467-473.
32. Brandsma D, van den Bent MJ (2007) Molecular targeted therapies and chemotherapy in malignant gliomas. Curr. Opin. Oncol. 19, 598-605.
33. Wasserman R, Acharya R, Claudio S, Shin KH (1996) A patientspecific in vivo tumor model. Math. Biosci. 136, 111-140.
34. Mohamed A, Davatzikos C (2005) Finite element modeling of brain tumor mass-effect from 3D medical images. In: Duncan JS, Gerig G, eds. 8th International Conference on Medical Image Computing and Computer Assisted Intervention (MICCAI 2005). Palm Springs, CA, USA: Springer, pp. 400-408.