메뉴 건너뛰기




Volumn , Issue , 2006, Pages 109-145

Modelling the formation of capillaries

Author keywords

angiogenesis; chemotaxis; network formation; vasculogenesis

Indexed keywords


EID: 47549083329     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/88-470-0396-2_4     Document Type: Chapter
Times cited : (12)

References (32)
  • 1
  • 3
    • 7444221201 scopus 로고    scopus 로고
    • Cell directional and chemotaxis in vascular morphogenesis
    • DOI 10.1016/j.bulm.2004.04.004, PII S0092824004000436
    • Ambrosi, D., Gamba, A., Serini, G.: Cell directional persistence and chemotaxis in vascular morphogenesis. Bull. Math. Biol. 66, 1851-1873 (2004) (Pubitemid 39444494)
    • (2004) Bulletin of Mathematical Biology , vol.66 , Issue.6 , pp. 1851-1873
    • Ambrosi, D.1    Gamba, A.2    Serini, G.3
  • 4
    • 2542433788 scopus 로고    scopus 로고
    • Mechanical models in tumour growth
    • Preziosi, L. (ed.): Boca Raton, FL: Chapman&Hall/CRC
    • Ambrosi, D., Mollica, F.: Mechanical models in tumour growth. In: Preziosi, L. (ed.): Cancer modelling and simulation. Boca Raton, FL: Chapman&Hall/CRC 2003, pp. 121-145
    • (2003) Cancer modelling and simulation , pp. 121-145
    • Ambrosi, D.1    Mollica, F.2
  • 5
    • 2542462118 scopus 로고    scopus 로고
    • Multiscale modeling and mathematical problems related to tumour evolution and medical therapy
    • Bellomo, N., De Angelis, E., Preziosi, L.: Multiscale modeling and mathematical problems related to tumour evolution and medical therapy. J. Theor. Med. 5, 111-136 (2004)
    • (2004) J. Theor. Med. , vol.5 , pp. 111-136
    • Bellomo, N.1    De Angelis, E.2    Preziosi, L.3
  • 6
    • 0041426312 scopus 로고    scopus 로고
    • Regression and regrowth of tumour cords following single-dose anticancer treatment
    • DOI 10.1016/S0092-8240(03)00054-5
    • Bertuzzi, A., D'Onofrio,A., Fasano, A., Gandolfi,A.: Regression and regrowth of tumour cords following single-dose anticancer treatment. Bull. Math. Biol. 65, 903-931 (2003) (Pubitemid 37029238)
    • (2003) Bulletin of Mathematical Biology , vol.65 , Issue.5 , pp. 903-931
    • Bertuzzi, A.1    D'Onofrio, A.2    Fasano, A.3    Gandolfi, A.4
  • 8
    • 0032170064 scopus 로고    scopus 로고
    • Continuous and discrete mathematical models of tumor-induced angiogenesis
    • DOI 10.1006/bulm.1998.0042
    • Chaplain, M.A.J., Anderson, A.R.A.: Continuous and discrete mathematical models of tumor-induced angiogenesis. Bull. Math. Biol. 60, 857-899 (1998) (Pubitemid 28427465)
    • (1998) Bulletin of Mathematical Biology , vol.60 , Issue.5 , pp. 857-899
    • Anderson, A.R.A.1    Chaplain, M.A.J.2
  • 9
    • 37649026668 scopus 로고    scopus 로고
    • Percolation and Burgers' dynamics in a model of capillary formation
    • 10p.
    • Coniglio, A., de Candia, A., Di Talia, S., Gamba, A.: Percolation and Burgers' dynamics in a model of capillary formation. Phys. Rev. E 69, 051910, 10p. (2004)
    • (2004) Phys. Rev. , vol.E69 , pp. 051910
    • Coniglio, A.1    De Candia, A.2    Di Talia, S.3    Gamba, A.4
  • 10
    • 0019133502 scopus 로고
    • Angiogenesis in vitro
    • DOI 10.1038/288551a0
    • Folkman, J., Haudenschild, C.: Angiogenesis in vitro. Nature 288, 551-556 (1980) (Pubitemid 11223680)
    • (1980) Nature , vol.288 , Issue.5791 , pp. 551-556
    • Folkman, J.1    Haudenschild, C.2
  • 12
    • 0034695556 scopus 로고    scopus 로고
    • A mathematical model of tumour angiogenesis incorporating cellular traction and viscoelastic effects
    • Holmes, M., Sleeman, B.:A mathematical model of tumour angiogenesis incorporating cellular traction and viscoelastic effects. J. Theor. Biol. 202, 95-112 (2000)
    • (2000) J. Theor. Biol. , vol.202 , pp. 95-112
    • Holmes, M.1    Sleeman, B.2
  • 13
    • 15844396394 scopus 로고    scopus 로고
    • Preventing blow-up in a chemotaxis model
    • Kowalczyk, R.: Preventing blow-up in a chemotaxis model. J. Math. Anal. Appl. 305, 566-588 (2005)
    • (2005) J. Math. Anal. Appl. , vol.305 , pp. 566-588
    • Kowalczyk, R.1
  • 14
    • 1042302661 scopus 로고    scopus 로고
    • On the stability of homogeneous solutions to some aggregation models
    • Kowalczyk, R., Gamba, A., Preziosi, L.: On the stability of homogeneous solutions to some aggregation models. Discrete Contin. Dyn. Syst. B 4, 203-220 (2004)
    • (2004) Discrete Contin. Dyn. Syst. , vol.B4 , pp. 203-220
    • Kowalczyk, R.1    Gamba, A.2    Preziosi, L.3
  • 16
    • 14044275152 scopus 로고    scopus 로고
    • Modelling tumour-induced angiogenesis
    • Preziosi, L. (ed.): Boca Raton, FL: Chapman&Hall/CRC
    • Levine, H., Sleeman, B., Modelling tumour-induced angiogenesis. In: Preziosi, L. (ed.): Cancer modelling and simulation. Boca Raton, FL: Chapman&Hall/CRC 2003, pp. 147-184
    • (2003) Cancer modelling and simulation , pp. 147-184
    • Levine, H.1    Sleeman, B.2
  • 17
    • 0035287283 scopus 로고    scopus 로고
    • Mathematical modeling of the onset of capillary formation initiating angiogenesis
    • Levine, H., Sleeman, B., Nilsen-Hamilton, M.: Mathematical modeling of the onset of capillary formation initiating angiogenesis. J. Math. Biol. 42, 195-238 (2001)
    • (2001) J. Math. Biol. , vol.42 , pp. 195-238
    • Levine, H.1    Sleeman, B.2    Nilsen-Hamilton, M.3
  • 18
    • 0030292469 scopus 로고    scopus 로고
    • A mechanical model for the formation of vascular networks in vitro
    • Manoussaki, D., Lubkin, S.R., Vernon, R.B., Murray, J.D.: A mechanical model for the formation of vascular networks in vitro. Acta Biotheoretica 44, 271-282 (1996)
    • (1996) Acta Biotheoretica , vol.44 , pp. 271-282
    • Manoussaki, D.1    Lubkin, S.R.2    Vernon, R.B.3    Murray, J.D.4
  • 19
    • 16644400591 scopus 로고    scopus 로고
    • Mathematical modeling of tumor-induced angiogenesis
    • Mantzaris, N., Webb, S., Othmer, H.G.: Mathematical modeling of tumor-induced angiogenesis. J. Math. Biol. 49, 111-187 (2004)
    • (2004) J. Math. Biol. , vol.49 , pp. 111-187
    • Mantzaris, N.1    Webb, S.2    Othmer, H.G.3
  • 20
    • 0036664608 scopus 로고    scopus 로고
    • Mathematical modelling of flow through vascular networks: Implications for tumour-induced angiogenesis and chemotherapy strategies
    • DOI 10.1006/bulm.2002.0293
    • McDougall, S.R., Anderson, A.R., Chaplain, M.A.J., Sherratt, J.A.: Mathematical modelling of flow through vascular networks: Implications for tumour-induced angiogenesis and chemotherapy strategies. Bull. Math. Biol. 64, 673-702 (2002) (Pubitemid 36072687)
    • (2002) Bulletin of Mathematical Biology , vol.64 , Issue.4 , pp. 673-702
    • McDougall, S.R.1    Anderson, A.R.A.2    Chaplain, M.A.J.3    Sherratt, J.A.4
  • 21
    • 0017111559 scopus 로고
    • Morphogenesis of lines and nets
    • Meinhardt, H.: Morphogenesis of lines and nets. Differentiation 6, 117-123 (1976)
    • (1976) Differentiation , vol.6 , pp. 117-123
    • Meinhardt, H.1
  • 26
    • 0037108152 scopus 로고    scopus 로고
    • Spatially restricted patterning cues provided by heparin-binding VEGF-A control blood vessel branching morphogenesis
    • Ruhrberg, C., Gerhardt, H., Golding, M.,Watson, R., Ioannidou, S., Fujisawa, H., Betsholtz, C., Shima, D.: Spatially restricted patterning cues provided by heparin-binding VEGF-A control blood vessel branching morphogenesis. Genes and Devel. 16, 2684-2698 (2002)
    • (2002) Genes and Devel , vol.16 , pp. 2684-2698
    • Ruhrberg, C.1    Gerhardt, H.2    Golding, M.3    Watson, R.4    Ioannidou, S.5    Fujisawa, H.6    Betsholtz, C.7    Shima, D.8
  • 27
    • 0345373937 scopus 로고    scopus 로고
    • Modeling the early stages of vascular network assembly
    • DOI 10.1093/emboj/cdg176
    • Serini, G., Ambrosi, D., Giraudo, E., Gamba, A., Preziosi, L., Bussolino, F.: Modeling the early stages of vascular network assembly. EMBO J. 22, 1771-1779 (2003) (Pubitemid 36460134)
    • (2003) EMBO Journal , vol.22 , Issue.8 , pp. 1771-1779
    • Serini, G.1    Ambrosi, D.2    Giraudo, E.3    Gamba, A.4    Preziosi, L.5    Bussolino, F.6
  • 28
    • 0037119531 scopus 로고    scopus 로고
    • Tumour induced angiogenesis as a reinforced random walk: Modelling capillary network formation without endothelial cell proliferation
    • Sleeman, B., Wallis, I.P.: Tumour induced angiogenesis as a reinforced random walk: Modelling capillary network formation without endothelial cell proliferation. Math. Comput. Modelling 36, 339-358 (2002)
    • (2002) Math. Comput. Modelling , vol.36 , pp. 339-358
    • Sleeman, B.1    Wallis, I.P.2
  • 29
    • 26844479092 scopus 로고    scopus 로고
    • Mathematical modelling of flow in 2D and 3D vascular networks: Applications to anti-Angiogenic and chemotherapeutic drug strategies
    • DOI 10.1016/j.mcm.2005.05.008, PII S0895717705001718, Modelling Complex Systems in Molecular Bilogy and Tumor Dynamics and Control
    • Stephanou, A., McDougall, S.R., Anderson, A.R.A., Chaplain, M.A.J.: Mathematical modelling of flow in 2D and 3D vascular networks: Applications to anti-Angiogenic and chemotherapeutic drug strategies. Math. Comput. Modelling 41, 1137-1156 (2005) (Pubitemid 41444869)
    • (2005) Mathematical and Computer Modelling , vol.41 , Issue.10 , pp. 1137-1156
    • Stephanou, A.1    McDougall, S.R.2    Anderson, A.R.A.3    Chaplain, M.A.J.4
  • 31
    • 0035044630 scopus 로고    scopus 로고
    • In vitro models of vasculogenesis and angiogenesis
    • Vailh B., Vittet, D., Feige, J.-J.: In vitro models of vasculogenesis and angiogenesis. Lab. Investig. 81, 439-452 (2001)
    • (2001) Lab. Investig. , vol.81 , pp. 439-452
    • Vailh, B.1    Vittet, D.2    Feige, J.-J.3
  • 32
    • 0000295243 scopus 로고    scopus 로고
    • The formation of tubular structures by endothelial cells is under the control of fibrinolysis and mechanical factors
    • Vailh B., Lecomte, M.,Wiernsperger, N., Tranqui, L.: The formation of tubular structures by endothelial cells is under the control of fibrinolysis and mechanical factors. Angiogenesis 2, 331-344 (1998)
    • (1998) Angiogenesis , vol.2 , pp. 331-344
    • Vailh, B.1    Lecomte, M.2    Wiernsperger, N.3    Tranqui, L.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.