Medical Image Analysis
Volume 16, Issue 2 , Pages 361-373 , February 2012

Tumor invasion margin on the Riemannian space of brain fibers

Received 22 October 2010 ,Revised 12 September 2011 ,Accepted 3 October 2011.

References 

  1. Birkbeck, N., Cobzas, D., Jagersand, M., Murtha, A., Kesztyues, T., 2009. An interactive graph-cut method for brain tumour segmentation. In: Workshop on Applications of Computer Vision (WACV).
  2. Clatz O, Sermesant M, Bondiau P, Delingette H, Warfield S, Malandain G, et al. Realistic simulation of the 3d growth of brain tumors in MR images coupling diffusion with mass effect. IEEE Transactions on Medical Imaging. 2005;24(10):1334–1346
  3. Cobzas, D., Mosayebi, P., Murtha, A., Jagersand, M., 2009. Tumor invasion margin on the riemannian space of brain fibers. In: MICCAI.
  4. Cruywagen G, Woodward D, Tracqui P, Bartoo G, Murray J, Alvord E. The modeling of diffusive tumours. Journal of Biological Systems. 1995;3:937–945
  5. Engquist B, Osher S. One-sided difference approximations for nonlinear conservation laws. Mathematical Computing. 1981;36:321–351
  6. ExploreDTI. <http://www.exploredti.com/>.
  7. FSL, tools. <http://www.fmrib.ox.ac.uk/fsl/>.
  8. Giese A, Kluwe L, Laube B, Meissner H, Berens M, Westphal M. Migration of human glioma cells on myelin. Neurosurgery. 1996;38:755–764
  9. Gooya, A., Biros, G., Davatzikos, C., 2010. An EM algorithm for brain tumor image registration: a tumor growth modeling based approach. In: MMBIA.
  10. Heath M. Scientific Computing, An Introdutory Survey. McGraw-Hill; 2002;
  11. Hochberg F, Slotnick B. Neuropsychologic impairment in astxocytoma survivors. Neurology. 1980;30:907–911
  12. Hogea, C., Abraham, F., Biros, G., Davatzikos, C., 2006. A framework for soft tissue simulations with applications to modeling brain tumor mass-effect in 3d images. In: MICCAI.
  13. Hogea, C., Davatzikos, C., Biros, G., 2007. Modeling glioma growth and mass effect in 3d MR images of the brain. In: MICCAI.
  14. Hogea C, Davatzikos C, Biros G. Brain-tumor interaction biophysical models for medical image registration. SIAM Journal of Scientific Computing. 2008;30(6):793–825
  15. Hogea C, Davatzikos C, Biros G. An image-driven parameter estimation problem for a reaction-diffusion glioma growth model with mass effects. Journal of Mathematical Biology. 2008;56:793–825
  16. Jbabdi S, Mandonnet E, Duffau H, Capelle L, Swanson K, Pelegrini M, et al. Simulation of anisotropic growth of low-grade gliomas using diffusion tensor imaging. Magnetic Resonance in Medicine. 2005;54:616–624
  17. Konukoglu, E., 2009. Modeling Glioma Growth and Personalizing Growth Models in Medical Images. PhD Thesis, Universite Nice Sophia-Antipolis.
  18. Konukoglu, E., Clatz, O., Bondiau, P., Delingette, H., Ayache, N., 2006. Extrapolating tumor invasion margins for physiologically determined radiotherapy regions. In: MICCAI.
  19. Konukoglu E, Clatz O, Menze B, Weber M-A, Stieltjes B, Mandonnet E, et al. Image guided personalization of reaction-diffusion type tumor growth models using modified anisotropic eikonal equations. IEEE Transactions on Medical Imaging. 2010;29:77–95
  20. Konukoglu E, Clatz O, Bondiau P-Y, Delingette H, Ayache N. Extrapolating glioma invasion margin in brain magnetic resonance images: suggesting new irradiation margins. Medical Image Analysis. 2010;14(2):111–125
  21. Kuroiwa T, Ueki M, Chen Q, Suemasu H, Taniguchi I, Okeda R. Biomechanical characteristics of brain edema: the difference between vasogenic-type and cytotoxic-type edema. Acta Neurochirurgica Supplement. 1994;60:158–161
  22. Lenglet, C., Deriche, R., Faugeras, O., 2003. Diffusion tensor magnetic resonance imaging brain connectivity mapping. In: TR INRIA.
  23. Lenglet, C., Deriche, R., Faugeras, O., 2004. Inferring white matter geometry from diffusion tensor MRI: applic. to connectivity mapping. In: MICCAI.
  24. LONI, atlases. <http://www.loni.ucla.edu/atlases/>.
  25. Lunsford LD, Martinez AJ, Latchaw RE. Magnetic resonance imaging does not define tumor boundaries. Acta Radiologica. 1986;369:154–156
  26. Mohamed, A., Davatzikos, C., 2005. Finite element modeling of brain tumor mass-effect from 3d medical images. In: MICCAI, pp. 400–408.
  27. Mohamed A, Zacharaki E, Shen D, Davatzikos C. Deformable registration of brain tumor images via a statistical model of tumor-induced deformation. Medical Image Analysis. 2006;10(5):752–763
  28. Mosayebi, P., Cobzas, D., Jagersand, M., Murtha, A., 2010. Stability effects of finite difference methods on a mathematical tumor growth model. In: MMBIA at CVPR.
  29. Murray J. Mathematical Biology. Heidelberg: Springer-Verlag; 1989;
  30. O’Donnell, L., Haker, S., Westin, C., 2002. New approaches to estimation of white matter connectivity in diffusion tensor MRI: elliptic PDEs and geodesics in a tensor-warped space. In: MICCAI.
  31. Osher S. A level-set formulatin for the solution of the dirichlet problem for hamilton-jacobi equations. SIAM Journal of Mathematical Analysis. 1993;24(5):1145–1152
  32. Osher S, Fedkiwh R. Level Set Methods and Dynamic Implicit Surfaces. New York: Springer; 2002;
  33. Painter K. Modelling cell migration strategies in the extracellular matrix. Journal of Mathematical Biology. 2009;58:511–544
  34. Preziozi L. Cancer Modelling and Simulation. CRC Mathematical Biology and Medicine Series. Chapman & Hall; 2003;
  35. Swanson K, Alvord E, Murray J. A quantitative model for differential motility of gliomas in grey and white matter. Cell Proliferation. 2000;33:317–329
  36. Swanson K, Alvord E, Murray J. Virtual brain tumors (gliomas) enhance the reality of medical imaging and highlight inadequacies of current therapy. British Journal of Cancer. 2002;85:14–18
  37. Tracqui P, Cruywagen G, Woodward D, Bartoo G, Murray J, Alvord E. A mathematical model of glioma growth: the effect of chemotherapy on spatio-temporal growth. Cell Proliferation. 1995;28:17–31
  38. Weickert J. Anisotropic Diffusion in Image Processing. ECMI Series. Stuttgart: Teubner-Verlag; 1998;
  39. Woodward D, Cook J, Tracqui P, Cruywagen G, Murray J, Alvord E. A mathematical model of glioma growth: the effect of extent of surgical resection. Cell Proliferation. 1996;29:269–288

PII: S1361-8415(11)00131-9

doi: 10.1016/j.media.2011.10.001

Medical Image Analysis
Volume 16, Issue 2 , Pages 361-373 , February 2012

Article Tools

* Image Usage & Resolution