Realistic simulation of the 3-D growth of brain tumors in MR images coupling diffusion with biomechanical deformation

IEEE Transactions on Medical Imaging

Volumn 24, Issue 10, 2005, Pages 1334-1346

  Clatz, Olivier ^a   Sermesant, Maxime ^a   Bondiau, Pierre Yves ^b   Delingette, Hervé ^a   Warfield, Simon K ^c   Malandain, Grégoire ^a   Ayache, Nicholas ^a  

^a INRIA   (France)

^b CENTRE ANTOINE LACASSAGNE   (France)

^c BOSTON CHILDREN S HOSPITAL   (United States)

Author keywords

Brain; DTI; Growth; Model; Simulation; Tumor

Indexed keywords

BIOMECHANICS; BRAIN; COMPUTER SIMULATION; FINITE ELEMENT METHOD; IMAGE SEGMENTATION; MAGNETIC RESONANCE IMAGING; MATHEMATICAL MODELS; THREE DIMENSIONAL;

DTI; GLIOBLASTOMAS MULTIFORMA (GBM); GROWTH; MODEL;

TUMORS;

ALGORITHM; ARTICLE; AUTOMATED PATTERN RECOGNITION; BIOLOGICAL MODEL; BIOMECHANICS; BRAIN TUMOR; CANCER INVASION; COMPUTER ASSISTED DIAGNOSIS; COMPUTER SIMULATION; DIFFUSION WEIGHTED IMAGING; ELASTICITY; EVALUATION; GLIOBLASTOMA; IMAGE ENHANCEMENT; INFORMATION RETRIEVAL; METHODOLOGY; PATHOPHYSIOLOGY; REPRODUCIBILITY; SENSITIVITY AND SPECIFICITY; THREE DIMENSIONAL IMAGING;

ALGORITHMS; BIOMECHANICS; BRAIN NEOPLASMS; COMPUTER SIMULATION; DIFFUSION MAGNETIC RESONANCE IMAGING; ELASTICITY; GLIOBLASTOMA; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; IMAGING, THREE-DIMENSIONAL; INFORMATION STORAGE AND RETRIEVAL; MODELS, BIOLOGICAL; NEOPLASM INVASIVENESS; PATTERN RECOGNITION, AUTOMATED; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY;

EID: 26844482962     PISSN: 02780062     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMI.2005.857217     Document Type: Article

References (46)

1. S. Haney, P. Thompson, T. Cloughesy, J. Alger, and A. Toga, "Tracking tumor growth rates in patients with malignant gliomas: A test of two algorithms," Am. J. Neuroradiol., vol. 22, no. 1, pp. 73-82, Jan. 2001.
2. G. Kantor, H. Loiseau, A. Vital, and J. J. Mazeron, "Gross tumor volume (GTV) and clinical target volume (CTV) in adult gliomas," Cancer Radiother., vol. 5, no. 5, pp. 571-580, Oct. 2001.
3. M. W. Retsky, D. E. Swartzendruber, R. H. Wardwell, and P. D. Bame, "Is Gompertzian or exponential kinetics a valid description of individual human cancer growth?," Med Hypotheses, vol. 33, no. 2, pp. 95-106, Oct. 1990.
4. J. A. Lazareff, R. Suwinski, R. De Rosa, R. R. De, and C. E. Olmstead, "Tumor volume and growth kinetics in hypothalamic-chiasmatic pediatric low grade gliomas," Pediatr. Neurosurg., vol. 30, no. 6, pp. 312-319, Jun. 1999.
5. Z. Bajzer, "Gompertzian growth as a self-similar and allometric process," Growth Dev. Aging, vol. 63, no. 1-2, pp. 3-11, 1999.
6. A. Patel, E. Gawlinski, S. Lemieux, and R. Gatenby, "A cellular automaton model of early tumor growth and invasion," J. Theoretical Biol., vol. 213, no. 3, pp. 315-331, Dec. 2001.
7. H. Bussemaker, A. Deutsch, and E. Geigant, "Mean-field analysis of a dynamical phase transition in a cellular automaton model for collective motion," Phys. Rev. Lett., vol. 78, pp. 5018-5021, 1997.
8. J. Murray, Mathematical Biology. New York: Springer-Verlag, 2002.
9. K. Swanson, E. Alvord Jr, and J. Murray, "Virtual brain tumours (gliomas) enhance the reality of medical imaging and highlight inadequacies of current therapy," Br. J. Cancer, vol. 86, no. 1, pp. 14-18, Jan. 2002.
10. M. Chaplain, "Avascular growth, angiogenesis and vascular growth in solid tumours: The mathematical modeling of the stages of tumour development," Mathe. Comput. Modeling, vol. 23, no. 6, pp. 47-88, 1996.
11. P. Tracqui, "From passive diffusion to active cellular migration in mathematical models of tumour invasion," Acta Biotheoretica, vol. 43, no. 4, pp. 443-464, Dec. 1995.
12. W.-N. Zhou, Z.-P. Chen, C. You, Y.-G. Mu, K. Sai, J.-Y. Zhang, X.-H. Zhang, J.-J. Cheng, and H.-C. Xu, "Individualized therapy and outcomes of microsurgery, radiotherapy, and chemotherapy for astrocytoma," Ai Zheng, vol. 23, no. 11 Suppl 1, pp. 1555-1560, Nov. 2004.
13. P. K. Burgess, P. M. Kulesa, J. D. Murray, E. C. J. Alvord, and E. C. J. Alvord, "The interaction of growth rates and diffusion coefficients in a three-dimensional mathematical model of gliomas," J. Neuropathol. Exp. Neural., vol. 56, no. 6, pp. 704-713, Jun. 1997.
14. P. Tracqui, G. Cruywagen, D. Woodward, G. Bartoo, J. Murray, and E. Alvord Jr, "A mathematical model of glioma growth: The effect of chemotherapy on spatio-temporal growth," Cell Proliferation, vol. 28, no. 1, pp. 17-31, Jan. 1995.
15. P. Tracqui and M. Mendjeli, "Modeling three-dimensional growth of brain tumours from time series of scans," Math. Models Meth. Appl. Sci., vol. 19, no. 4, pp. 581-598, Jun. 1999.
16. B. M. Dawant, S. L. Hartmann, S. Pan, and S. Gadamsetty, "Brain atlas deformation in the presence of small and large space-occupying tumors," Comput. Aided Surg., vol. 7, no. 1, pp. 1-10, 2002.
17. M. Frenay, C. Lebrun, M. Lonjon, P. Y. Bondiau, and M. Chatel, "Up-front chemotherapy with fotemustine (f)/cisplatin (cddp)/etoposide (vp16) regimen in the treatment of 33 nonremovable glioblastomas," Eur. J. Cancer, vol. 36, no. 8, pp. 1026-1031, May 2000.
18. S. Ourselin, A. Roche, S. Prima, and N. Ayache, "Block matching: A general framework to improve robustness of rigid registration of medical images," in Lecture Notes in Computer Science, A. DiGioia and S. Delp, Eds. Berlin, Germany: Springer-Verlag, Oct. 11-14, 2000, vol. 1935, Proceedings of the Third International Conference on Medical Robotics, Imaging and Computer Assisted Surgery (MICCAI 2000), pp. 557-566.
19. P. Rousseeuw, "Least median-of-squares regression," J. Am. Statist. Assoc., vol. 79, pp. 871-880, 1984.
20. C. Cocosco, V. Kollokian, R.-S. Kwan, and A. Evans, "Brainweb: Online interface to a 3-D MRI simulated brain database," NeuroImage, vol. 5, p. 425, 1997.
21. P.-Y. Bondiau, G. Malandain, S. Chanalet, P.-Y. Marcy, J.-L. Habrand, F. Fauchon, P. Paquis, A. Courdi, O. Commowick, I. Rutten, and N. Ayache, "Atlas-based automatic segmentation of MR images: Validation study on the brainstem in radiotherapy context," Int. J. Radiat. Oncol. Biol. Phys., vol. 61, no. 1, pp. 289-298, Jan. 2005.
22. S. Price, N. Burnet, T. Donovan, H. Green, A. Pena, N. Antoun, J. Pickard, T. Carpenter, and J. Gillard, "Diffusion tensor imaging of brain tumours at 3t: A potential tool for assessing white matter tract invasion ?," Clin. Radiol., vol. 58, no. 6, pp. 455-462, Jun. 2003.
23. R. Sierra, "Nonrigid Registration of Diffusion Tensor Images," master's thesis, Swiss Federal Institute of Technology Zurich (ETHZ), Zurich, Switzerland, 2001.
24. D. C. Alexander, C. Pierpaoli, P. J. Basser, and J. C. Gee, "Spatial transformations of diffusion tensor magnetic resonance images," IEEE Trans. Med. Imag., vol. 20, no. 11, pp. 1131-1139, Nov. 2001.
25. D. Xu, S. Mori, D. Shen, P. C. van Zijl, and C. Davatzikos, "Spatial normalization of diffusion tensor fields," Magn. Reson. Med., vol. 50, no. 1, pp. 175-182, Jul. 2003.
26. G. Cruywagen, D. Woodward, P. Tracqui, G. Bartoo, J. Murray, and E. Alvord, "The modeling of diffusive tumours," J. Biological Syst., vol. 3, no. 4, pp. 937-945, 1995.
27. K. Swanson, E. Alvord Jr, and J. Murray, "A quantitative model for differential motility of gliomas in grey and white matter," Cell Proliferation, vol. 33, no. 5, pp. 317-329, Oct. 2000.
28. K. Swanson, C. Bridge, J. D. Murray, and E. C. Alvord, "Virtual and real brain tumors: Using mathematical modeling to quantify glioma growth and invasion," J. Neurol. Sci., vol. 216, no. 1, pp. 1-10, Dec. 2003.
29. K. Miller, Biomechanics of Brain for Computer Integrated Surgery. Warsaw, Poland: Warsaw Univ. Technol., 2002.
30. M. Miga, K. Paulsen, F. Kennedy, P. Hoopes, A. Hartov, and D. Roberts., "In vivo analysis of heterogeneous brain deformation computations for model-updated image guidance," Comput. Meth. Biomech. Biomed. Eng., vol. 3, no. 2, pp. 129-146, 2000.
31. Y.-C. Fung, Biomechanics: Mechanical Properties of Living Tissues. Berlin, Germany: Springer Verlag, 1993.
32. S. Kyriacou and C. Davatzikos, "A biomechanical model of soft tissue deformation, with applications to nonrigid registration of brain images with tumor pathology," Med. Image Computing Comput.-Assist. Intervention, vol. 1496, pp. 531-538, 2001.
33. R. Wasserman and R. Acharya, "A patient-specific in vivo tumor model," Math. Biosci., vol. 136, no. 2, pp. 111-140, Sep. 1996.
34. O. Clatz, H. Delingette, E. Bardinet, D. Dormont, and N. Ayache, "Patient specific biomechanical model of the brain: Application to Parkinson's disease procedure," in Lecture Notes in Computer Science, N. Ayache and H. Delingette, Eds. Berlin, Germany: Springer-Verlag, 2003, vol. 2673, Proceedings of the International Symposium on Surgery Simulation and Soft Tissue Modeling (IS4TM'03), pp. 321-331.
35. M. I. Miga, K. D. Paulsen, F. E. Kennedy, A. Hartov, and D. W. Roberts, "Model-updated image-guided neurosurgery using the finite element method: Incorporation of the falx cerebri," in Lecture Notes in Computer Science. Berlin, Germany: Springer-Verlag, 1999, vol. 1679, Proceedings of the 2nd International Conference on MICCAI, pp. 900-909.
36. S. Stevens, "Mean pressures and flows in the human intracranial system, determined by mathematical simulations of a steady-state infusion test," Neurological Res., vol. 22, pp. 809-814, 2000.
37. M. Schill, M. Schinkmann, H.-J. Bender, and R. Männer, "Biomechanical simulation of the falx cerebri using the finite element method," presented at the 18. Annu. Int. Conf. IEEE Engeneering in Medicine and Biology Soc., Amsterdam, The Netherlands, 1996.
38. K. Bathe, Finite Element Procedures in Engineering Analysis. Englewood Cliffs, NJ: Prentice-Hall, 1982.
39. R. Stefanescu, O. Commowick, G. Malandain, P.-Y. Bondiau, N. Ayache, and X. Pennec, "Non-rigid atlas to subject registration with pathologies for conformal brain radiotherapy," in Lecture Notes in Computer Science, C. Barillot, D. Haynor, and P. Hellier, Eds. Berlin, Germany: Springer-Verlag, Sep. 2004, vol. 3216, Proceedings of the 7th International Conference on Medical Image Computing and Computer-Assisted Intervention - MICCAI 2004, pp. 704-711.
40. S. J. Price, A. Pena, N. G. Burnet, R. Jena, H. A. L. Green, H. Green, T. A. Carpenter, J. D. Pickard, and J. H. Gillard, "Tissue signature characterization of diffusion tensor abnormalities in cerebral gliomas," Eur. Radiol, vol. 14, no. 10, pp. 1909-1917, Oct. 2004.
41. K. R. Swanson, E. C. A. Jr., and J. D. Murray, "Dynamics of a model for brain tumors reveals a small window for therapeutic intervention," Discrete Continuous Dynamical Syst., vol. 4, no. 1, pp. 289-295, 2004.
42. H. Delingette and N. Ayache, "Soft tissue modeling for surgery simulation," in Computational Models for the Human Body, P. Ciarlet and N. Ayache, Eds. Amsterdam, The Netherlands: Elsevier, 2004, Handbook of Numerical Analysis, pp. 453-550.
43. W. Lorensen and H. Cline, "Marching cubes: A high resolution 3-D surface constructionalgorithm," in Proc. Siggraph 87, vol. 21, Computer Graphics, Jul. 1987, pp. 163-170.
44. P. J. Frey, "Yams a Fully Automatic Adaptive Isotropic Surface Remeshing Procedure," INRIA, Tech. Rep. RT-0252, 2001.
45. P. J. Frey and P. L. George, Mesh Generation. Paris, France: Hermes Science Publ., 2000, p. 814.
46. Y. Saad, Iterative Methods for Sparse Linear Systems. Boston, MA: PWS, 1996.