메뉴 건너뛰기




Volumn 13, Issue 2, 1996, Pages 73-98

A mathematical model of the first steps of tumour-related angiogenesis: Capillary sprout formation and secondary branching

Author keywords

Angiogenesis; Endothelial cells; Haptotaxis; Sprout formation

Indexed keywords

BLOOD VESSELS; CYTOLOGY; TUMORS;

EID: 0030161443     PISSN: 02650746     EISSN: None     Source Type: Journal    
DOI: 10.1093/imammb/13.2.73     Document Type: Article
Times cited : (94)

References (40)
  • 1
    • 0017370183 scopus 로고
    • Migration and proliferation of endothelial cells in preformed and newly formed blood vessels during tumor angiogenesis
    • AUSPRUNK, D. H., & FOLKMAN, J., 1977. Migration and proliferation of endothelial cells in preformed and newly formed blood vessels during tumor angiogenesis. Microvasc. Res. 14, 53-65.
    • (1977) Microvasc. Res. , vol.14 , pp. 53-65
    • Ausprunk, D.H.1    Folkman, J.2
  • 2
    • 0022253881 scopus 로고
    • A mathematical model of tumour induced capillary growth
    • BALDING, D., & MCELWAIN, D. L. S., 1985. A mathematical model of tumour induced capillary growth. J. Theor. Biol. 114, 53-73.
    • (1985) J. Theor. Biol. , vol.114 , pp. 53-73
    • Balding, D.1    Mcelwain, D.L.S.2
  • 3
    • 0019993889 scopus 로고
    • Chemotaxis of aortic endothelial cells in response to fibronectin
    • BOWERSOX, J. C., & SORGENTE, N., 1982. Chemotaxis of aortic endothelial cells in response to fibronectin. Cancer Res. 42, 2547-51.
    • (1982) Cancer Res. , vol.42 , pp. 2547-2551
    • Bowersox, J.C.1    Sorgente, N.2
  • 4
    • 0013850974 scopus 로고
    • Principles of cell motility: The direction of cell movement and cancer invasion
    • CARTER, S. B., 1965. Principles of cell motility: the direction of cell movement and cancer invasion. Nature, 208, 1183-7.
    • (1965) Nature , vol.208 , pp. 1183-1187
    • Carter, S.B.1
  • 5
    • 77957176863 scopus 로고
    • A model mechanism for the chemotactic response of endothelial cells to tumour angiogenesis factor
    • CHAPLAIN, M. A. J., & STUART, A. M., 1993. A model mechanism for the chemotactic response of endothelial cells to tumour angiogenesis factor. IMA J. Math. Appl. Med. Biol., 10, 149-68.
    • (1993) IMA J. Math. Appl. Med. Biol. , vol.10 , pp. 149-168
    • Chaplain, M.A.J.1    Stuart, A.M.2
  • 6
    • 0020315282 scopus 로고
    • Blood vessel fibronectin increases in conjunction with endothelial cell proliferation and capillary ingrowth during wound healing
    • CLARK, R. A. F., DELLAPELLE, P., MANSEAU, E., LANIGAN, J. M., DVORAK, H. F., & COLVIN, R. B., 1982. Blood vessel fibronectin increases in conjunction with endothelial cell proliferation and capillary ingrowth during wound healing. J. Invest. Dermatol., 79, 269-76.
    • (1982) J. Invest. Dermatol. , vol.79 , pp. 269-276
    • Clark, R.A.F.1    Dellapelle, P.2    Manseau, E.3    Lanigan, J.M.4    Dvorak, H.F.5    Colvin, R.B.6
  • 7
    • 0020264236 scopus 로고
    • Fibronectin and fibrin provide a provisional matrix for epidermal cell migration during wound reepithelialization
    • CLARK, R. A. F., LANIGAN, J. M., DELLAPELLE, P., MANSEAU, E., DVORAK, H. F., & COLVIN, R. B., 1982, Fibronectin and fibrin provide a provisional matrix for epidermal cell migration during wound reepithelialization. J. Invest. Dermatol., 79, 264-9.
    • (1982) J. Invest. Dermatol. , vol.79 , pp. 264-269
    • Clark, R.A.F.1    Lanigan, J.M.2    Dellapelle, P.3    Manseau, E.4    Dvorak, H.F.5    Colvin, R.B.6
  • 8
    • 0020399173 scopus 로고
    • The propagation of fungal colonies: A model for tissue growth
    • EDELSTEIN, L., 1982. The propagation of fungal colonies: a model for tissue growth. J. Theor. Biol. 98, 679-701.
    • (1982) J. Theor. Biol. , vol.98 , pp. 679-701
    • Edelstein, L.1
  • 10
    • 0017128387 scopus 로고
    • Growth stimulation of cultured endothelial cells by tumor cell homogenates
    • FENSELAU, A., & MELLO, R. J., 1976. Growth stimulation of cultured endothelial cells by tumor cell homogenates. Cancer Res. 36, 3269-73.
    • (1976) Cancer Res. , vol.36 , pp. 3269-3273
    • Fenselau, A.1    Mello, R.J.2
  • 11
    • 0021978223 scopus 로고
    • Tumor angiogenesis
    • FOLKMAN, J., 1950. Tumor angiogenesis. Adv. Cancer Res. 43, 175-203.
    • (1950) Adv. Cancer Res. , vol.43 , pp. 175-203
    • Folkman, J.1
  • 12
    • 0019133502 scopus 로고
    • Angiogenesis in vitro
    • FOLKMAN, J., & HAUDENSCHILD, C., 1980. Angiogenesis in vitro. Nature 288, 551-6.
    • (1980) Nature , vol.288 , pp. 551-556
    • Folkman, J.1    Haudenschild, C.2
  • 13
    • 0023157363 scopus 로고
    • Angiogenic factors
    • FOLKMAN, J., & KLAGSBRUN, M., 1987. Angiogenic factors. Science 235, 442-7.
    • (1987) Science , vol.235 , pp. 442-447
    • Folkman, J.1    Klagsbrun, M.2
  • 14
    • 0015982084 scopus 로고
    • Tumor growth and neovascularization: An experimental model using the rabbit cornea
    • GIMBRONE, M. A., COTRAN, R. S., LEAPMAN, S. B., & FOLKMAN, J., 1974. Tumor growth and neovascularization: an experimental model using the rabbit cornea. J. Natl. Cancer Inst. 52, 413-27.
    • (1974) J. Natl. Cancer Inst. , vol.52 , pp. 413-427
    • Gimbrone, M.A.1    Cotran, R.S.2    Leapman, S.B.3    Folkman, J.4
  • 15
    • 1842582273 scopus 로고
    • Splitting of cell clusters and bifurcation of bryozoan branches
    • GOLDWASSER, L., MAINI, P. K., & MURRAY, J. D., 1989. Splitting of cell clusters and bifurcation of bryozoan branches. J. Theor. Biol. 137, 271-9.
    • (1989) J. Theor. Biol. , vol.137 , pp. 271-279
    • Goldwasser, L.1    Maini, P.K.2    Murray, J.D.3
  • 16
    • 0001263315 scopus 로고
    • Studies of vascular patterns in living tumors with a transparent chamber inserted in hamster cheek pouch
    • GOODALL, C. M., SANDERS, A. G., & SHUBIK, P., 1965. Studies of vascular patterns in living tumors with a transparent chamber inserted in hamster cheek pouch. J. Natl. Cancer Inst. 35, 497-505.
    • (1965) J. Natl. Cancer Inst. , vol.35 , pp. 497-505
    • Goodall, C.M.1    Sanders, A.G.2    Shubik, P.3
  • 17
    • 0017198676 scopus 로고
    • On the growth and stability of cell cultures and solid tumours
    • GREENSPAN, H. P., 1976. On the growth and stability of cell cultures and solid tumours. J. Theor. Biol. 56, 229-42.
    • (1976) J. Theor. Biol. , vol.56 , pp. 229-242
    • Greenspan, H.P.1
  • 20
    • 0020631281 scopus 로고
    • Basement membrane collagen: Degradation by migrating endothelial cells
    • KALEBIC, T., GARBISA, S., GLASER, B., & LIOTTA, L. A., 1983. Basement membrane collagen: degradation by migrating endothelial cells. Science 221, 281-3.
    • (1983) Science , vol.221 , pp. 281-283
    • Kalebic, T.1    Garbisa, S.2    Glaser, B.3    Liotta, L.A.4
  • 21
    • 0002472673 scopus 로고
    • The development of the tumour vascular system: 2-D and 3-D approaches to network formation in human xenografted tumours
    • M. E. Maragoudakis, P. Gullino, & P. I. Lelkes, eds. New York: Plenum Press
    • KONERDING, M. A., ACKERN, C. VAN, STEINBERG, F., & STREFFER, C., 1992. The development of the tumour vascular system: 2-D and 3-D approaches to network formation in human xenografted tumours. In: Angiogenesis in Health and Disease, M. E. Maragoudakis, P. Gullino, & P. I. Lelkes, eds. New York: Plenum Press.
    • (1992) Angiogenesis in Health and Disease
    • Konerding, M.A.1    Van Ackern, C.2    Steinberg, F.3    Streffer, C.4
  • 22
    • 0001853789 scopus 로고
    • The design of fluid transport systems in organisms
    • LABARBERA, M., & VOGEL, S., 1982. The design of fluid transport systems in organisms. Am. Scientist. 70, 54-60.
    • (1982) Am. Scientist. , vol.70 , pp. 54-60
    • Labarbera, M.1    Vogel, S.2
  • 23
    • 0024307090 scopus 로고
    • Spatial and spatio-temporal patterns in a cell-haptotaxis model
    • MAINI, P. K., 1989. Spatial and spatio-temporal patterns in a cell-haptotaxis model. J. Math. Biol. 27, 507-22.
    • (1989) J. Math. Biol. , vol.27 , pp. 507-522
    • Maini, P.K.1
  • 26
    • 0002272122 scopus 로고
    • Analysis of propagating pattern in a chemotaxis system
    • MYERSCOUGH, M. R., & MURRAY, J. D., 1992. Analysis of propagating pattern in a chemotaxis system. Bull. Math. Biol. 54, 77-94.
    • (1992) Bull. Math. Biol. , vol.54 , pp. 77-94
    • Myerscough, M.R.1    Murray, J.D.2
  • 27
    • 0024458798 scopus 로고
    • Pattern formation models and developmental constraints
    • OSTER, G. K., & MURRAY, J. D., 1989. Pattern formation models and developmental constraints. J. Exp. Zool. 251, 186-202.
    • (1989) J. Exp. Zool. , vol.251 , pp. 186-202
    • Oster, G.K.1    Murray, J.D.2
  • 29
    • 0004211829 scopus 로고
    • New York: Oxford University Press
    • RUDDON, R. W., 1987. Cancer Biology, 2nd edn., pp. 127-9. New York: Oxford University Press.
    • (1987) Cancer Biology, 2nd Edn. , pp. 127-129
    • Ruddon, R.W.1
  • 30
    • 0029168923 scopus 로고
    • Reliable segmentation by successive bifurcation
    • SAUNDERS, P. T., & HO, M. W., 1995. Reliable segmentation by successive bifurcation. Bull. Math. Biol. 57, 539-56.
    • (1995) Bull. Math. Biol. , vol.57 , pp. 539-556
    • Saunders, P.T.1    Ho, M.W.2
  • 31
    • 0021025634 scopus 로고
    • Tumour angiogenesis
    • SCHOR, A. M., & SCHOR, S. L., 1983. Tumour angiogenesis. J. Pathol 141, 385-413.
    • (1983) J. Pathol , vol.141 , pp. 385-413
    • Schor, A.M.1    Schor, S.L.2
  • 33
    • 0021717225 scopus 로고
    • Mechanisms of neovascularization. Vascular sprouting can occur without proliferation of endothelial cells
    • SHOLLEY, M. M., FERGUSON, G. P., SEIBEL, H. R., MONTOUR, J. L., & WILSON, J. D., 1984. Mechanisms of neovascularization. Vascular sprouting can occur without proliferation of endothelial cells. Lab. Invest., 51, 624-34.
    • (1984) Lab. Invest. , vol.51 , pp. 624-634
    • Sholley, M.M.1    Ferguson, G.P.2    Seibel, H.R.3    Montour, J.L.4    Wilson, J.D.5
  • 34
    • 0025991093 scopus 로고
    • Analysis of the role of microvessel endothelial cell random motility and chemotaxis in angiogenesis
    • STOKES, C. L., & LAUFFENBURGER, D. A., 1991. Analysis of the role of microvessel endothelial cell random motility and chemotaxis in angiogenesis. J. Theor. Biol. 152, 377-403.
    • (1991) J. Theor. Biol. , vol.152 , pp. 377-403
    • Stokes, C.L.1    Lauffenburger, D.A.2
  • 35
    • 0025882274 scopus 로고
    • Migration of individual microvessel endothelial cells: Stochastic model and parameter measurement
    • STOKES, C. L., LAUFFENBURGER, D. A., & WILLIAMS, S. K., 1991. Migration of individual microvessel endothelial cells: stochastic model and parameter measurement. J. Cell. Sci. 99, 419-30.
    • (1991) J. Cell. Sci. , vol.99 , pp. 419-430
    • Stokes, C.L.1    Lauffenburger, D.A.2    Williams, S.K.3
  • 36
    • 0024281372 scopus 로고
    • Cell and environment interaction in tumor microregions: The multicell spheroid model
    • SUTHERLAND, R. M., 1988. Cell and environment interaction in tumor microregions: the multicell spheroid model. Science 240, 177-84.
    • (1988) Science , vol.240 , pp. 177-184
    • Sutherland, R.M.1
  • 37
    • 0022374927 scopus 로고
    • Human endothelial cells are chemotactic to endothelial cell growth factor and heparin
    • TERRANOVA, V. P., DIFLORIO, R., LYALL, R. M., HIC, S., FRIESEL, R., & MACIAG, T., 1985. Human endothelial cells are chemotactic to endothelial cell growth factor and heparin. J. Cell. Biol. 101, 2330-4.
    • (1985) J. Cell. Biol. , vol.101 , pp. 2330-2334
    • Terranova, V.P.1    Diflorio, R.2    Lyall, R.M.3    Hic, S.4    Friesel, R.5    Maciag, T.6
  • 38
    • 0021853048 scopus 로고
    • Cooperation between fibronectin and heparin in the mobilization of capillary endothelium
    • UNGARI, S., KATARI, R. S., ALESSANDRI, G., & GULLINO, P. M., 1985. Cooperation between fibronectin and heparin in the mobilization of capillary endothelium. Invas. Metast. 5, 193-205.
    • (1985) Invas. Metast. , vol.5 , pp. 193-205
    • Ungari, S.1    Katari, R.S.2    Alessandri, G.3    Gullino, P.M.4
  • 39
    • 36849153535 scopus 로고
    • Fibronectins-adhesive glycoproteins of cell surface and blood
    • YAMADA, K. M., & OLDEN, K., 1978. Fibronectins-adhesive glycoproteins of cell surface and blood. Nature 175, 179-84.
    • (1978) Nature , vol.175 , pp. 179-184
    • Yamada, K.M.1    Olden, K.2
  • 40
    • 0019152389 scopus 로고
    • Migration of capillary endothelial cells is stimulated by tumor-derived factors
    • Zetter, B. R., 1980. Migration of capillary endothelial cells is stimulated by tumor-derived factors. Nature 285, 41-3.
    • (1980) Nature , vol.285 , pp. 41-43
    • Zetter, B.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.