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Directional entropy based model for diffusivity-driven tumor growth
1. | Robotic Systems Laboratory, Swiss Federal Institute of Technology (EPFL), Lausanne, CH-1015, Switzerland |
2. | Department of Mechanical Engineering, Engineering College of Sorocaba (FACENS), São Paulo, 18087-125, Brazil |
References:
[1] |
Physica A: Statistical Mechanics and its Applications, 387 (2008), 839-850.
doi: 10.1016/j.physa.2007.10.036. |
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Pattern Recognition, 36 (2003), 2945-2954.
doi: 10.1016/S0031-3203(03)00176-6. |
[3] |
Physica A: Statistical Mechanics and its Applications, 365 (2006), 473-480.
doi: 10.1016/j.physa.2005.09.063. |
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O. Clatz, M. Sermesant, P. yves Bondiau, H. Delingette, S. K. Warfield, G. Mal and N. Ayache, Realistic simulation of the 3d growth of brain tumors in mr images coupling diffusion with mass effect,, IEEE Transactions on Medical Imaging, (): 1334. Google Scholar |
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doi: 10.1016/j.neuroimage.2007.03.057. |
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[10] |
Medical Image Computing and Computer-Assisted Intervention, 4791 (2007), 642-650.
doi: 10.1007/978-3-540-75757-3_78. |
[11] |
Journal of Mathematical Biology, 56 (2008), 793-825.
doi: 10.1007/s00285-007-0139-x. |
[12] |
Physica A: Statistical Mechanics and its Applications, 392 (2013), 6616-6623.
doi: 10.1016/j.physa.2013.08.010. |
[13] |
Journal of theoretical biology, 203 (2000), 367-382.
doi: 10.1006/jtbi.2000.2000. |
[14] |
NeuroImage, 53 (2010), 471-479.
doi: 10.1016/j.neuroimage.2010.06.050. |
[15] |
Communications on Pure and Applied Mathematics, 9 (1956), 747-766.
doi: 10.1002/cpa.3160090407. |
[16] |
W. H. Freeman, 1982. |
[17] |
Third edition. Interdisciplinary Applied Mathematics, 18. Springer-Verlag, New York, 2003. |
[18] |
Conference proceedings : ... Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual Conference, 6 (2005), 5798-5801.
doi: 10.1109/IEMBS.2005.1615806. |
[19] |
Journal of neuropathology and experimental neurology, 64 (2005), 479-489. Google Scholar |
[20] |
Physica A: Statistical Mechanics and its Applications, 388 (2009), 1303-1314.
doi: 10.1016/j.physa.2008.11.038. |
[21] |
University of Illinois Press, 1949. |
[22] |
AJNR. American journal of neuroradiology, 23 (2002), 520-7. Google Scholar |
[23] |
Studies In Health Technology And Informatics, 79 (2000), 255-274. Google Scholar |
[24] |
Journal of the Neurological Sciences, 225 (2004), 33-37.
doi: 10.1016/j.jns.2004.06.016. |
[25] |
Cell Proliferation, 29 (1996), 269-288.
doi: 10.1111/j.1365-2184.1996.tb01580.x. |
show all references
References:
[1] |
Physica A: Statistical Mechanics and its Applications, 387 (2008), 839-850.
doi: 10.1016/j.physa.2007.10.036. |
[2] |
Pattern Recognition, 36 (2003), 2945-2954.
doi: 10.1016/S0031-3203(03)00176-6. |
[3] |
Physica A: Statistical Mechanics and its Applications, 365 (2006), 473-480.
doi: 10.1016/j.physa.2005.09.063. |
[4] |
O. Clatz, M. Sermesant, P. yves Bondiau, H. Delingette, S. K. Warfield, G. Mal and N. Ayache, Realistic simulation of the 3d growth of brain tumors in mr images coupling diffusion with mass effect,, IEEE Transactions on Medical Imaging, (): 1334. Google Scholar |
[5] |
Physica A: Statistical Mechanics and its Applications, 371 (2006), 76-79.
doi: 10.1016/j.physa.2006.04.082. |
[6] |
NeuroImage, 36 (2007), 543-549.
doi: 10.1016/j.neuroimage.2007.03.057. |
[7] |
Journal of the Neurological Sciences, 282 (2009), 67-71.
doi: 10.1016/j.jns.2008.12.023. |
[8] |
Methods San Diego Calif, 24 (2001), 309-321. Google Scholar |
[9] |
Neurosurgery, 39 (1996), 235-250; discussion 250-252.
doi: 10.1097/00006123-199608000-00001. |
[10] |
Medical Image Computing and Computer-Assisted Intervention, 4791 (2007), 642-650.
doi: 10.1007/978-3-540-75757-3_78. |
[11] |
Journal of Mathematical Biology, 56 (2008), 793-825.
doi: 10.1007/s00285-007-0139-x. |
[12] |
Physica A: Statistical Mechanics and its Applications, 392 (2013), 6616-6623.
doi: 10.1016/j.physa.2013.08.010. |
[13] |
Journal of theoretical biology, 203 (2000), 367-382.
doi: 10.1006/jtbi.2000.2000. |
[14] |
NeuroImage, 53 (2010), 471-479.
doi: 10.1016/j.neuroimage.2010.06.050. |
[15] |
Communications on Pure and Applied Mathematics, 9 (1956), 747-766.
doi: 10.1002/cpa.3160090407. |
[16] |
W. H. Freeman, 1982. |
[17] |
Third edition. Interdisciplinary Applied Mathematics, 18. Springer-Verlag, New York, 2003. |
[18] |
Conference proceedings : ... Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual Conference, 6 (2005), 5798-5801.
doi: 10.1109/IEMBS.2005.1615806. |
[19] |
Journal of neuropathology and experimental neurology, 64 (2005), 479-489. Google Scholar |
[20] |
Physica A: Statistical Mechanics and its Applications, 388 (2009), 1303-1314.
doi: 10.1016/j.physa.2008.11.038. |
[21] |
University of Illinois Press, 1949. |
[22] |
AJNR. American journal of neuroradiology, 23 (2002), 520-7. Google Scholar |
[23] |
Studies In Health Technology And Informatics, 79 (2000), 255-274. Google Scholar |
[24] |
Journal of the Neurological Sciences, 225 (2004), 33-37.
doi: 10.1016/j.jns.2004.06.016. |
[25] |
Cell Proliferation, 29 (1996), 269-288.
doi: 10.1111/j.1365-2184.1996.tb01580.x. |
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