메뉴 건너뛰기




Volumn 29, Issue 1, 2010, Pages 77-95

Image guided personalization of reaction-diffusion type tumor growth models using modified anisotropic eikonal equations

Author keywords

[No Author keywords available]

Indexed keywords

EIKONAL EQUATION; GENERAL MODEL; IMAGE-GUIDED; MEDICAL IMAGES; MODEL PARAMETERS; MODEL-BASED; PARAMETER ESTIMATION METHOD; PATIENT CASE; PATIENT SPECIFIC PARAMETERS; PERSONALIZATIONS; PROLIFERATION RATE; REACTION DIFFUSION; REACTION-DIFFUSION DYNAMICS; REACTION-DIFFUSION MODELS; SPATIAL ACCURACY; TIME INSTANCES; TISSUE TYPES; TUMOR CELLS; TUMOR DELINEATION; TUMOR GROWTH MODELS; WHITE-MATTER FIBER TRACTS;

EID: 73949157513     PISSN: 02780062     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMI.2009.2026413     Document Type: Article
Times cited : (172)

References (53)
  • 1
    • 0027357446 scopus 로고
    • MR imaging in cerebral gliomas analysis of tumour tissue components
    • M. Tovi, "MR imaging in cerebral gliomas analysis of tumour tissue components, " Acta Radiol. Suppl., vol. 384, pp. 1-24, 1993.
    • (1993) Acta Radiol. Suppl. , vol.384 , pp. 1-24
    • Tovi, M.1
  • 2
    • 0037864158 scopus 로고    scopus 로고
    • Diffusion tensor imaging of brain tumours at 3t: A potential tool for assessing white matter tract invasion?
    • S. Price, N. Burnet, T. Donovan, H. Green, A.P. Na, 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, pp. 455-462, 2003.
    • (2003) Clin. Radiol. , vol.58 , pp. 455-462
    • Price, S.1    Burnet, N.2    Donovan, T.3    Green, H.4    Na, A.P.5    Antoun, N.6    Pickard, J.7    Carpenter, T.8    Gillard, J.9
  • 3
    • 0037033735 scopus 로고    scopus 로고
    • Virtual brain tumours (gliomas) enhance the reality of medical imagingand highlight inadequacies of current therapy
    • K. Swanson, E. Alvord, and J. Murray, "Virtual brain tumours (gliomas) enhance the reality of medical imagingand highlight inadequacies of current therapy, " Br.J. Cancer, vol. 86, pp. 14-18, 2002.
    • (2002) Br.J. Cancer. , vol.86 , pp. 14-18
    • Swanson, K.1    Alvord, E.2    Murray, J.3
  • 4
    • 3843079723 scopus 로고    scopus 로고
    • A history of the study of solid tumour growth: The contribution of mathematical modelling
    • R. Araujo and D. McElwain, "A history of the study of solid tumour growth: The contribution of mathematical modelling, " Bull. Math. Biol., vol. 66, pp. 1039-1091, 2004.
    • (2004) Bull. Math. Biol. , vol.66 , pp. 1039-1091
    • Araujo, R.1    McElwain, D.2
  • 5
    • 0642378039 scopus 로고    scopus 로고
    • Nonlinear simulation of tumor growth
    • V. Cristini, J. Lowengrub, and Q. Nie, "Nonlinear simulation of tumor growth, "J. Math. Biol., vol. 46, pp. 191-224, 2003.
    • (2003) J. Math. Biol. , vol.46 , pp. 191-224
    • Cristini, V.1    Lowengrub, J.2    Nie, Q.3
  • 7
    • 0035824717 scopus 로고    scopus 로고
    • A cellular automaton model of early tumor growthand invasion
    • A. Patel, E. Gawlinski, S. Lemieux, and R. Gatenby, "A cellular automaton model of early tumor growthand invasion, "J. Theor. Biol., vol. 213, pp. 315-331, 2001.
    • (2001) J. Theor. Biol. , vol.213 , pp. 315-331
    • Patel, A.1    Gawlinski, E.2    Lemieux, S.3    Gatenby, R.4
  • 8
    • 26944481103 scopus 로고    scopus 로고
    • A single-cell-based model of tumor growth in vitro: Monolayersand spheroids
    • D. Drasdo and S. Höhme, "A single-cell-based model of tumor growth in vitro: Monolayersand spheroids, " Phys. Biol., vol. 2, pp. 133-147, 2005.
    • (2005) Phys. Biol. , vol.2 , pp. 133-147
    • Drasdo, D.1    Höhme, S.2
  • 9
    • 0034696767 scopus 로고    scopus 로고
    • Simulated brain tumor growth dynamics using a three-dimensional cellular automaton
    • A. Kansal, S. Torquato, G.H., IV, E. Chiocca, and T. Deisboeck, "Simulated brain tumor growth dynamics using a three-dimensional cellular automaton, "J. Theor. Biol., vol. 203, pp. 367-382, 2000.
    • (2000) J. Theor. Biol. , vol.203 , pp. 367-382
    • Kansal, A.1    Torquato, S.H.G.2    Chiocca, I.V.E.3    Deisboeck, T.4
  • 10
    • 34547771792 scopus 로고    scopus 로고
    • Predictive oncology: A review of multidisciplinary, multi-scale in silico modeling linking phenotype, morphologyand growth
    • S. Sanga, H. Frieboes, X. Zheng, R. Gatenby, E. Bearer, and V. Cristini, "Predictive oncology: A review of multidisciplinary, multi-scale in silico modeling linking phenotype, morphologyand growth, " Neuro Image, vol. 37, pp. S120-S134, 2007.
    • (2007) Neuro Image , vol.37
    • Sanga, S.1    Frieboes, H.2    Zheng, X.3    Gatenby, R.4    Bearer, E.5    Cristini, V.6
  • 11
    • 33746622960 scopus 로고    scopus 로고
    • A spatiotemporal, patient individualized simulation model of solid tumor response to chemotherapy in vivo: The paradigm of glioblastoma multiforme treated by temozolomide
    • Aug
    • G. Stamatakos, V. Antipas, and N. Uzunoglu, "A spatiotemporal, patient individualized simulation model of solid tumor response to chemotherapy in vivo: The paradigm of glioblastoma multiforme treated by temozolomide, " IEEE Trans. Biol. Med. Eng., vol. 53, no. 8, pp. 1467-1477, Aug. 2006.
    • (2006) IEEE Trans. Biol. Med. Eng. , vol.53 , Issue.8 , pp. 1467-1477
    • Stamatakos, G.1    Antipas, V.2    Uzunoglu, N.3
  • 12
    • 26844482962 scopus 로고    scopus 로고
    • Realistic simulation of the 3D growth of brain tumors in MR images coupling diffusion with biomechanical deformation
    • Oct
    • O. Clatz, M. Sermesant, P. Bondiau, H. Delingette, S. Warfield, G. Ma-landain, and N. Ayache, "Realistic simulation of the 3D growth of brain tumors in MR images coupling diffusion with biomechanical deformation, " IEEE Trans. Med. Imag., vol. 24, no. 10, pp. 1334-1346, Oct. 2005.
    • (2005) IEEE Trans. Med. Imag. , vol.24 , Issue.10 , pp. 1334-1346
    • Clatz, O.1    Sermesant, M.2    Bondiau, P.3    Delingette, H.4    Warfield, S.5    Ma-Landain, G.6    Ayache, N.7
  • 14
    • 33745478676 scopus 로고    scopus 로고
    • Simulating complex tumor dynamics from avascular to vascular growth using a general level-set method
    • C. Hogea, B. Murray, and J. Sethian, "Simulating complex tumor dynamics from avascular to vascular growth using a general level-set method, "J. Math. Biol., vol. 53, no. 1, pp. 86-134, 2006.
    • (2006) J. Math. Biol. , vol.53 , Issue.1 , pp. 86-134
    • Hogea, C.1    Murray, B.2    Sethian, J.3
  • 15
    • 0028936012 scopus 로고
    • A mathematical model of glioma growth: The effect of chemotherapy on spatio-temporal growth
    • P. Tracqui, G. Cruywagen, D. Woodward, G. Bartoo, J. Murray, and E. Alvord, "A mathematical model of glioma growth: The effect of chemotherapy on spatio-temporal growth, " Cell Prolif., vol. 28, no. 1, pp. 17-31, 1995.
    • (1995) Cell Prolif , vol.28 , Issue.1 , pp. 17-31
    • Tracqui, P.1    Cruywagen, G.2    Woodward, D.3    Bartoo, G.4    Murray, J.5    Alvord, E.6
  • 17
    • 33744793241 scopus 로고    scopus 로고
    • Finite element modeling of brain tumor mass-effect from 3D medical images
    • A. Mohamed and C. Davatzikos, "Finite element modeling of brain tumor mass-effect from 3D medical images, " in Proc. MICCAI, 2005, vol. 3749, pp. 400-408.
    • (2005) Proc. MICCAI. , vol.3749 , pp. 400-408
    • Mohamed, A.1    Davatzikos, C.2
  • 18
    • 0033752019 scopus 로고    scopus 로고
    • A quantitative model for differential motility of gliomas in greyand white matter
    • K. Swanson, E. Alvord, and J. Murray, "A quantitative model for differential motility of gliomas in greyand white matter, " Cell Prolif., vol. 33, no. 5, pp. 317-329, 2000.
    • (2000) Cell Prolif , vol.33 , Issue.5 , pp. 317-329
    • Swanson, K.1    Alvord, E.2    Murray, J.3
  • 19
    • 38049051925 scopus 로고    scopus 로고
    • A mathematical modelling tool for predicting survival of individual patients following resection of glioblastoma: A proof of principle
    • K. Swanson, R. Rostomily, and E. Alvord, "A mathematical modelling tool for predicting survival of individual patients following resection of glioblastoma: A proof of principle, " Br. J. Cancer, vol. 98, pp. 113-119, 2008.
    • (2008) Br. J. Cancer. , vol.98 , pp. 113-119
    • Swanson, K.1    Rostomily, R.2    Alvord, E.3
  • 20
    • 44649123706 scopus 로고    scopus 로고
    • Computational modeling of the WHO grade II glioma dynamics: Principlesand applications to management paradigm
    • Jul
    • E. Mandonnet, J. Pallud, O. Clatz, L. Taillandier, E. Konukoglu, H. Duffau, and L. Capelle, "Computational modeling of the WHO grade II glioma dynamics: Principlesand applications to management paradigm, " Neurosurg. Rev., vol. 31, pp. 263-269, Jul. 2008.
    • (2008) Neurosurg. Rev. , vol.31 , pp. 263-269
    • Mandonnet, E.1    Pallud, J.2    Clatz, O.3    Taillandier, L.4    Konukoglu, E.5    Duffau, H.6    Capelle, L.7
  • 24
    • 6344221605 scopus 로고    scopus 로고
    • Atlas-based segmentation of pathological MR brain images using a model of lesion growth
    • Oct
    • M. Cuadra, C. Pollo, A. Bardera, O. Cuisenaire, J.G. Villemure, and J.P. Thiran, "Atlas-based segmentation of pathological MR brain images using a model of lesion growth, " IEEE Trans. Med. Imag., vol. 23, no. 10, pp. 1301-1314, Oct. 2004.
    • (2004) IEEE Trans. Med. Imag. , vol.23 , Issue.10 , pp. 1301-1314
    • Cuadra, M.1    Pollo, C.2    Bardera, A.3    Cuisenaire, O.4    Villemure, J.G.5    Thiran, J.P.6
  • 25
    • 33748632924 scopus 로고    scopus 로고
    • De-formable registration of brain tumor images via a statistical model of tumor-induced deformation
    • A. Mohamed, E. Zacharaki, D. Shen, and C. Davatzikos, "De-formable registration of brain tumor images via a statistical model of tumor-induced deformation, " Med. Imag. Anal., vol. 10, pp. 752-763, 2006.
    • (2006) Med. Imag. Anal. , vol.10 , pp. 752-763
    • Mohamed, A.1    Zacharaki, E.2    Shen, D.3    Davatzikos, C.4
  • 26
    • 33744825479 scopus 로고    scopus 로고
    • Synthetic ground truth for validation of brain tumor MRI segmentation
    • M. Prastawa, E. Bullitt, and G. Gerig, "Synthetic ground truth for validation of brain tumor MRI segmentation, " in Proc. MICCAI, 2005, vol. 3749, pp. 26-33.
    • (2005) Proc. MICCAI. , vol.3749 , pp. 26-33
    • Prastawa, M.1    Bullitt, E.2    Gerig, G.3
  • 28
    • 41149124535 scopus 로고    scopus 로고
    • An image-driven parameter estimation problem for a reaction-diffusion glioma growth model with mass effects
    • C. Hogea, C. Davatzikos, and G. Biros, "An image-driven parameter estimation problem for a reaction-diffusion glioma growth model with mass effects, "J. Math. Biol., vol. 56, pp. 793-825, 2008.
    • (2008) J. Math. Biol. , vol.56 , pp. 793-825
    • Hogea, C.1    Davatzikos, C.2    Biros, G.3
  • 29
    • 38849085200 scopus 로고    scopus 로고
    • Quantifying glioma cell growthand invasion in vitro
    • K. Swanson, "Quantifying glioma cell growthand invasion in vitro, " Math. Comp. Model., vol. 47, pp. 638-648, 2008.
    • (2008) Math. Comp. Model. , vol.47 , pp. 638-648
    • Swanson, K.1
  • 31
    • 34548428328 scopus 로고    scopus 로고
    • A recursive anisotropic fast marching approach to reaction diffusion equation: Application to tumor growth modeling
    • E. Konukoglu, M. Sermesant, O. Clatz, J.M. Peyrat, H. Delingette, and N. Ayache, "A recursive anisotropic fast marching approach to reaction diffusion equation: Application to tumor growth modeling, " in LNCS Proc. 20th IPMI, 2007, vol. 4584, pp. 687-699.
    • (2007) LNCS Proc. 20th IPMI. , vol.4584 , pp. 687-699
    • Konukoglu, E.1    Sermesant, M.2    Clatz, O.3    Peyrat, J.M.4    Delingette, H.5    Ayache, N.6
  • 32
    • 49349119963 scopus 로고
    • Multidimensional nonlinear diffusion arising in population genetics
    • D. Aronson and H. Weinberger, "Multidimensional nonlinear diffusion arising in population genetics, " Adv. Math., vol. 30, pp. 33-76, 1978.
    • (1978) Adv. Math. , vol.30 , pp. 33-76
    • Aronson, D.1    Weinberger, H.2
  • 33
    • 0039149429 scopus 로고    scopus 로고
    • Front propagation into unstable states: Universal algebraic convergence towards uniformly translating pulled fronts
    • U. and W.S. Ebert, "Front propagation into unstable states: Universal algebraic convergence towards uniformly translating pulled fronts, " Phys. D: Nonlinear Phenom., vol. 146, pp. 1-99, 2000.
    • (2000) Phys. D: Nonlinear Phenom. , vol.146 , pp. 1-99
    • Ebert, W.S.1
  • 34
    • 2342646187 scopus 로고    scopus 로고
    • Traveling wave model to interpret a wound-healing cell migration assay for human peritoneal mesothelial cells
    • P. Maini, D. McElwain, and D. Leavesley, "Traveling wave model to interpret a wound-healing cell migration assay for human peritoneal mesothelial cells, " Tissue Eng., vol. 10, pp. 475-482, 2004.
    • (2004) Tissue Eng , vol.10 , pp. 475-482
    • Maini, P.1    McElwain, D.2    Leavesley, D.3
  • 38
    • 21144473929 scopus 로고
    • A level set formulation for the solution of the dirichlet problem for hamilton-jacobi equations
    • S. Osher, "A level set formulation for the solution of the dirichlet problem for hamilton-jacobi equations, " SIAM J. Math. Anal., vol. 24, no. 5, pp. 1145-1152, 1993.
    • (1993) SIAM J. Math. Anal. , vol.24 , Issue.5 , pp. 1145-1152
    • Osher, S.1
  • 39
    • 2942541570 scopus 로고    scopus 로고
    • Central schemes for multidimensional Hamilton-Jacobi equations
    • S. Bryson and D. Levy, "Central schemes for multidimensional Hamilton-Jacobi equations, " SIAM J. Sci. Comput., vol. 25, pp. 767-791, 2003.
    • (2003) SIAM J. Sci. Comput. , vol.25 , pp. 767-791
    • Bryson, S.1    Levy, D.2
  • 40
    • 73949104315 scopus 로고    scopus 로고
    • A fast sweeping method for static convex hamilton-jacobi equations
    • J. Qian, Y. Zhang, and H. Zhao, "A fast sweeping method for static convex hamilton-jacobi equations, " UCLA Comp. App. Math. Rep., vol. 06-37, 2006.
    • (2006) UCLA Comp. App. Math. Rep. , vol.6-37
    • Qian, J.1    Zhang, Y.2    Zhao, H.3
  • 41
    • 1842511489 scopus 로고    scopus 로고
    • Ordered upwind methods for static Hamilton-Jacobi equations: Theoryand algorithms
    • J. Sethian and A. Vladimirsky, "Ordered upwind methods for static Hamilton-Jacobi equations: Theoryand algorithms, " SIAM J. Numer. Anal., vol. 41, pp. 325-363, 2003.
    • (2003) SIAM J. Numer. Anal. , vol.41 , pp. 325-363
    • Sethian, J.1    Vladimirsky, A.2
  • 42
    • 29144492874 scopus 로고    scopus 로고
    • Fast sweeping methods for static Hamilton-Jacobi equations
    • C. Kao, S. Osher, and Y. Tsai, "Fast sweeping methods for static Hamilton-Jacobi equations, " SIAM J. Numer. Anal., vol. 42, pp. 2612-2632, 2005.
    • (2005) SIAM J. Numer. Anal. , vol.42 , pp. 2612-2632
    • Kao, C.1    Osher, S.2    Tsai, Y.3
  • 43
    • 43049179622 scopus 로고    scopus 로고
    • Efficient multilevel brain tumor segmentation with integrated bayesian model classification
    • May
    • J.J. Corso, E. Sharon, S. Dube, S. El-Saden, U. Sinha, and A. Yuille, "Efficient multilevel brain tumor segmentation with integrated bayesian model classification, " IEEE Trans. Med. Imag., vol. 27, no. 5, pp. 629-640, May 2008.
    • (2008) IEEE Trans. Med. Imag. , vol.27 , Issue.5 , pp. 629-640
    • Corso, J.J.1    Sharon, E.2    Dube, S.3    El-Saden, S.4    Sinha, U.5    Yuille, A.6
  • 44
    • 0041711007 scopus 로고    scopus 로고
    • UOBYQA: Unconstrained optimization by quadratic approximation
    • M. Powell, "UOBYQA: Unconstrained optimization by quadratic approximation, " Math. Program. Ser. B, vol. 92, pp. 555-582, 2002.
    • (2002) Math. Program. Ser. B. , vol.92 , pp. 555-582
    • Powell, M.1
  • 45
    • 0026091663 scopus 로고
    • The relationship between Ki-67 labelingand mitotic index in gliomasand menin-giomas: Demonstration ofthe variability of the intermitotic cycle time
    • R. Schröder, K. Bien, R. Kott, I. Meyers, and R. Vössing, "The relationship between Ki-67 labelingand mitotic index in gliomasand menin-giomas: Demonstration ofthe variability of the intermitotic cycle time, " Acta Neuropathol., vol. 82, pp. 389-394, 1991.
    • (1991) Acta Neuropathol , vol.82 , pp. 389-394
    • Schröder, R.1    Bienr. Kott, K.2    Meyers, R.3    Vössing, I.4
  • 46
    • 33750846321 scopus 로고    scopus 로고
    • The clinical value of Ki-67/MIB-1 labeling index in human astrocytomas
    • A.L. Johannessen and S.H. Torp, "The clinical value of Ki-67/MIB-1 labeling index in human astrocytomas, " Pathol. Oncol. Res., vol. 12, pp. 143-147, 2006.
    • (2006) Pathol. Oncol. Res. , vol.12 , pp. 143-147
    • Johannessen, A.L.1    Torp, S.H.2
  • 47
    • 0035505590 scopus 로고    scopus 로고
    • A cartesian grid embedded boundary method for the heat equation in irregular domains
    • P. McCorquodale, P. Colella, and H. Johansen, "A cartesian grid embedded boundary method for the heat equation in irregular domains, "J. Comp. Phys., vol. 173, no. 2, pp. 620-635, 2001.
    • (2001) J. Comp. Phys. , vol.173 , Issue.2 , pp. 620-635
    • McCorquodale, P.1    Colella, P.2    Johansen, H.3
  • 50
    • 1042291055 scopus 로고    scopus 로고
    • Dynamics of a model for brain tumors reveals a small window for therapeutic intervention
    • K. Swanson, E. Alvord, and J. Murray, "Dynamics of a model for brain tumors reveals a small window for therapeutic intervention, " Discrete Continous Dyn. Syst. B, vol. 4, no. 1, pp. 289-295, 2004.
    • (2004) Discrete Continous Dyn. Syst. B. , vol.4 , Issue.1 , pp. 289-295
    • Swanson, K.1    Alvord, E.2    Murray, J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.