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Volumn 4792 LNCS, Issue PART 2, 2007, Pages 874-881

A coupled finite element model of tumor growth and vascularization

Author keywords

[No Author keywords available]

Indexed keywords

BLOOD; FINITE ELEMENT METHOD; TUMORS;

EID: 79551681739     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-75759-7_106     Document Type: Conference Paper
Times cited : (18)

References (22)
  • 2
    • 0034648765 scopus 로고    scopus 로고
    • Angiogenesis in cancer and other diseases
    • Carmeliet, P., Jain, R.K.: Angiogenesis in cancer and other diseases. Nature 407(6801), 249-257 (2000)
    • (2000) Nature , vol.407 , Issue.6801 , pp. 249-257
    • Carmeliet, P.1    Jain, R.K.2
  • 3
    • 3843079723 scopus 로고    scopus 로고
    • A history of the study of solid tumour growth: The contribution of mathematical modelling
    • Araujo, R.P., McElwain, D.L.S.: A history of the study of solid tumour growth: the contribution of mathematical modelling. Bull. Math. Biology 66(5), 1039-1091 (2004)
    • (2004) Bull. Math. Biology , vol.66 , Issue.5 , pp. 1039-1091
    • Araujo, R.P.1    McElwain, D.L.S.2
  • 4
    • 0017198676 scopus 로고
    • On the growth and stability of cell cultures and solid tumors
    • Greenspan, H.P.: On the growth and stability of cell cultures and solid tumors. Journal of Theoretical Biology 56(1), 229-242 (1976)
    • (1976) Journal of Theoretical Biology , vol.56 , Issue.1 , pp. 229-242
    • Greenspan, H.P.1
  • 6
    • 0029422390 scopus 로고
    • From passive diffusion to active cellular migration in mathematical models of tumour invasion
    • Tracqui, P.: From passive diffusion to active cellular migration in mathematical models of tumour invasion. Acta Biotheoretica 43(4), 443-464 (1995)
    • (1995) Acta Biotheoretica , vol.43 , Issue.4 , pp. 443-464
    • Tracqui, P.1
  • 7
    • 33644890522 scopus 로고    scopus 로고
    • A cellular automata model of tumor-immune system interactions
    • Mallet, D.G., Pillis, L.G.D.: A cellular automata model of tumor-immune system interactions. Journal of Theoretical Biology 239(3), 334-350 (2006)
    • (2006) Journal of Theoretical Biology , vol.239 , Issue.3 , pp. 334-350
    • Mallet, D.G.1    Pillis, L.G.D.2
  • 8
    • 0033153746 scopus 로고    scopus 로고
    • Nonlinear elastic registration of brain images with tumor pathology using a biomechanical model
    • Kyriacou, S.K., et al.: Nonlinear elastic registration of brain images with tumor pathology using a biomechanical model. IEEE Trans. Med. Imaging 18(7), 580-592 (1999)
    • (1999) IEEE Trans. Med. Imaging , vol.18 , Issue.7 , pp. 580-592
    • Kyriacou, S.K.1
  • 9
    • 33744793241 scopus 로고    scopus 로고
    • Finite element modeling of brain tumor mass-effect from 3D medical images
    • Duncan, J.S, Gerig, G, eds, MICCAI 2005, Springer, Heidelberg
    • Mohamed, A., Davatzikos, C.: Finite element modeling of brain tumor mass-effect from 3D medical images. In: Duncan, J.S., Gerig, G. (eds.) MICCAI 2005. LNCS, vol. 3750, pp. 400-408. Springer, Heidelberg (2005)
    • (2005) LNCS , vol.3750 , pp. 400-408
    • Mohamed, A.1    Davatzikos, C.2
  • 10
    • 26844482962 scopus 로고    scopus 로고
    • Clatz, O., et al.: Realistic simulation of the 3D growth of brain tumors in MR images coupling diffusion with mass effect. IEEE Trans Med Imaging 24(10), 13341346 (2005)
    • Clatz, O., et al.: Realistic simulation of the 3D growth of brain tumors in MR images coupling diffusion with mass effect. IEEE Trans Med Imaging 24(10), 13341346 (2005)
  • 12
    • 0030245613 scopus 로고    scopus 로고
    • A patient-specific in vivo tumor model
    • Wasserman, R., et al.: A patient-specific in vivo tumor model. Mathematical Biosciences 136(2), 111-140 (1996)
    • (1996) Mathematical Biosciences , vol.136 , Issue.2 , pp. 111-140
    • Wasserman, R.1
  • 13
    • 0032170064 scopus 로고    scopus 로고
    • Continuous and discrete mathematical models of tumor-induced angiogenesis
    • Anderson, A.R., Chaplain, M.A.: Continuous and discrete mathematical models of tumor-induced angiogenesis. Bull. Math. Biology 60(5), 857-899 (1998)
    • (1998) Bull. Math. Biology , vol.60 , Issue.5 , pp. 857-899
    • Anderson, A.R.1    Chaplain, M.A.2
  • 14
    • 0034845581 scopus 로고    scopus 로고
    • Mathematical modeling of capillary formation and development in tumor angiogenesis: Penetration into the stroma
    • Levine, H.A., et al.: Mathematical modeling of capillary formation and development in tumor angiogenesis: penetration into the stroma. Bull. Math. Biology 63(5), 801-863 (2001)
    • (2001) Bull. Math. Biology , vol.63 , Issue.5 , pp. 801-863
    • Levine, H.A.1
  • 15
    • 7444258529 scopus 로고    scopus 로고
    • Lattice and non-lattice models of tumour angiogenesis
    • Plank, M.J., Sleeman, B.D.: Lattice and non-lattice models of tumour angiogenesis. Bull Math Biology 66(6), 1785-1819 (2004)
    • (2004) Bull Math Biology , vol.66 , Issue.6 , pp. 1785-1819
    • Plank, M.J.1    Sleeman, B.D.2
  • 16
    • 79551681090 scopus 로고    scopus 로고
    • Simulating vascular systems in arbitrary anatomies
    • Duncan, J.S, Gerig, G, eds, MICCAI 2005, Springer, Heidelberg
    • Szczerba, D., Székely, C.: Simulating vascular systems in arbitrary anatomies. In: Duncan, J.S., Gerig, G. (eds.) MICCAI 2005. LNCS, vol. 3750, pp. 641-648. Springer, Heidelberg (2005)
    • (2005) LNCS , vol.3750 , pp. 641-648
    • Szczerba, D.1    Székely, C.2
  • 17
    • 33947408080 scopus 로고    scopus 로고
    • Nonlinear simulation of the effect of microenvironment on tumor growth
    • Macklin, P., Lowengrub, J.: Nonlinear simulation of the effect of microenvironment on tumor growth. Journal of Theoretical Biology 245(4), 677-704 (2007)
    • (2007) Journal of Theoretical Biology , vol.245 , Issue.4 , pp. 677-704
    • Macklin, P.1    Lowengrub, J.2
  • 18
    • 84880765336 scopus 로고    scopus 로고
    • Netgen - an advancing front 2d/3d-mesh generator based on abstract rules
    • Schöberl, J.: Netgen - an advancing front 2d/3d-mesh generator based on abstract rules. Computing and Visualization in Science 1, 41-52 (1997)
    • (1997) Computing and Visualization in Science , vol.1 , pp. 41-52
    • Schöberl, J.1
  • 19
    • 0026285878 scopus 로고
    • Non-linear phenomena in oxygen transport to tissue
    • Salathe, E.P., Xu, Y.H.: Non-linear phenomena in oxygen transport to tissue. Journal of Mathematical Biology 30(2), 151-160 (1991)
    • (1991) Journal of Mathematical Biology , vol.30 , Issue.2 , pp. 151-160
    • Salathe, E.P.1    Xu, Y.H.2
  • 20
    • 33846327237 scopus 로고    scopus 로고
    • Interactions of VEGF isoforms with VEGFR-1, VEGFR-2, and neuropilin in vivo
    • Gabhann, F.M., Popel, A.S.: Interactions of VEGF isoforms with VEGFR-1, VEGFR-2, and neuropilin in vivo. Am. J. Physiol. Heart Circ. Physiol. 292(1), 459-474 (2007)
    • (2007) Am. J. Physiol. Heart Circ. Physiol , vol.292 , Issue.1 , pp. 459-474
    • Gabhann, F.M.1    Popel, A.S.2
  • 21
    • 0002587798 scopus 로고
    • The Gompertz Curve as a Growth Curve
    • Winsor, C.P.: The Gompertz Curve as a Growth Curve. National Academy of Sciences 18, 1-8 (1932)
    • (1932) National Academy of Sciences , vol.18 , pp. 1-8
    • Winsor, C.P.1
  • 22
    • 0038060271 scopus 로고    scopus 로고
    • Vascular system of intramural leiomyomata revealed by corrosion casting and scanning electron microscopy
    • Walocha, J.A., et al.: Vascular system of intramural leiomyomata revealed by corrosion casting and scanning electron microscopy. Hum. Repr. 18(5), 1088-1093 (2003)
    • (2003) Hum. Repr , vol.18 , Issue.5 , pp. 1088-1093
    • Walocha, J.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.