메뉴 건너뛰기




Volumn 16, Issue 4-5, 1996, Pages 209-221

Biological inferences from a mathematical model for malignant invasion

Author keywords

Cancer; Invasion; Melanoma; Metastasis; Modelling; Travelling waves

Indexed keywords

CHEMOTACTIC FACTOR; PROTEINASE; PROTEINASE INHIBITOR; SCLEROPROTEIN;

EID: 0030407429     PISSN: 02511789     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Review
Times cited : (127)

References (46)
  • 1
    • 0027333411 scopus 로고
    • Tumor cell interactions with the extracellular matrix during invasion and metastasis
    • Stetler-Stevenson, WG, Aznavoorian S, Liotta LA: Tumor cell interactions with the extracellular matrix during invasion and metastasis. Annu Rev Cell Biol 1993;9:541-73.
    • (1993) Annu Rev Cell Biol , vol.9 , pp. 541-573
    • Stetler-Stevenson, W.G.1    Aznavoorian, S.2    Liotta, L.A.3
  • 2
    • 0029907651 scopus 로고    scopus 로고
    • Progress in anti-invasion and anti-metastasis research and treatment
    • Jiang WG, Mansel RE: Progress in anti-invasion and anti-metastasis research and treatment. Int J Oncol 1996;9:1013-1028.
    • (1996) Int J Oncol , vol.9 , pp. 1013-1028
    • Jiang, W.G.1    Mansel, R.E.2
  • 3
    • 0029094952 scopus 로고
    • Targeted gene- Therapy
    • Hart IR, Vile RG: Targeted gene- therapy. Br Med Bull 1995;51:647- 655.
    • (1995) Br Med Bull , vol.51 , pp. 647-655
    • Hart, I.R.1    Vile, R.G.2
  • 4
    • 0027996889 scopus 로고
    • Experimental metastasis and differentiation of murine melanoma cells - Actions and interactions of factors affecting different intracellular signaling pathways
    • Bennett DC, Holmes A, Devlin L, Hart IR: Experimental metastasis and differentiation of murine melanoma cells - actions and interactions of factors affecting different intracellular signaling pathways. Clin Exp Metastas 1994;12:385-397.
    • (1994) Clin Exp Metastas , vol.12 , pp. 385-397
    • Bennett, D.C.1    Holmes, A.2    Devlin, L.3    Hart, I.R.4
  • 5
    • 0025237471 scopus 로고
    • Signal transduction for chemotaxis and haptotaxis by matrix molecules in tumour cells
    • Aznavoorian S, Stracke ML, Krutzsch H, Schiffman E, Liotta LA: Signal transduction for chemotaxis and haptotaxis by matrix molecules in tumour cells. J Cell Biol 1990;110:1427-1438.
    • (1990) J Cell Biol , vol.110 , pp. 1427-1438
    • Aznavoorian, S.1    Stracke, M.L.2    Krutzsch, H.3    Schiffman, E.4    Liotta, L.A.5
  • 6
    • 0000128125 scopus 로고
    • Models for the growth of a solid tumour by diffusion
    • Greenspan HP: Models for the growth of a solid tumour by diffusion. Stud Appl Math 1972;51:317- 340.
    • (1972) Stud Appl Math , vol.51 , pp. 317-340
    • Greenspan, H.P.1
  • 7
    • 0013916715 scopus 로고
    • Rate of growth of solid tumours as a problem of diffusion
    • Burton AC: Rate of growth of solid tumours as a problem of diffusion. Growth 1966;30:159-176.
    • (1966) Growth , vol.30 , pp. 159-176
    • Burton, A.C.1
  • 8
    • 0017088552 scopus 로고
    • Cellular and geometric control of tissue growth and mitotic instability
    • Shymko RM, Glass L: Cellular and geometric control of tissue growth and mitotic instability. J Theor Biol 1976;63:355-374.
    • (1976) J Theor Biol , vol.63 , pp. 355-374
    • Shymko, R.M.1    Glass, L.2
  • 9
    • 0023518620 scopus 로고
    • A mathematical model of tumour growth. ii Effects of geometry and spatial non-uniformity on stability
    • Adam JA: A mathematical model of tumour growth. ii Effects of geometry and spatial non-uniformity on stability. Math Biosci 1987;86:183- 211.
    • (1987) Math Biosci , vol.86 , pp. 183-211
    • Adam, J.A.1
  • 10
    • 0024428464 scopus 로고
    • A mathematical model of tumour growth, iv. Effects of a necrotic core
    • Adam JA, Maggelakis SA: A mathematical model of tumour growth, iv. Effects of a necrotic core. Math Biosci 1989;97:121-136.
    • (1989) Math Biosci , vol.97 , pp. 121-136
    • Adam, J.A.1    Maggelakis, S.A.2
  • 11
    • 0025068944 scopus 로고
    • Diffusion regulated growth characteristics of a prevascular carcinoma
    • Adam JA, Maggelakis SA: Diffusion regulated growth characteristics of a prevascular carcinoma. Bull Math Biol 1990;52:549-582.
    • (1990) Bull Math Biol , vol.52 , pp. 549-582
    • Adam, J.A.1    Maggelakis, S.A.2
  • 12
    • 0031087466 scopus 로고    scopus 로고
    • Mathematical modelling of avascular tumour growth
    • in press
    • Ward JP, King JR: Mathematical modelling of avascular tumour growth. IMA J Math Appl Med 1997; in press.
    • IMA J Math Appl Med , pp. 1997
    • Ward, J.P.1    King, J.R.2
  • 13
    • 0027604157 scopus 로고
    • Cell migration in multicell spheroids - Swimming against the tide
    • McElwain DLS, Fettet GJ: Cell migration in multicell spheroids - swimming against the tide. Bull Math Biol 1993;55:655-674.
    • (1993) Bull Math Biol , vol.55 , pp. 655-674
    • McElwain, D.L.S.1    Fettet, G.J.2
  • 14
    • 0016718250 scopus 로고
    • Mitotic autoregulation of normal and abnormal cells: Alternative mechanisms for the de- Rangement of growth control
    • Wheldon TE: Mitotic autoregulation of normal and abnormal cells: Alternative mechanisms for the de- rangement of growth control. J Theor Biol 1975;53:421-433.
    • (1975) J Theor Biol , vol.53 , pp. 421-433
    • Wheldon, T.E.1
  • 15
    • 0027887881 scopus 로고
    • Cellular growth control and travelling waves of cancer
    • Sherratt JA: Cellular growth control and travelling waves of cancer. SIAM J Appl Math 1993;43:1713- 1730.
    • (1993) SIAM J Appl Math , vol.43 , pp. 1713-1730
    • Sherratt, J.A.1
  • 16
    • 0027665045 scopus 로고
    • Growth factors and growth control of heterogeneous cell populations
    • Michelson S, Leith JT: Growth factors and growth control of heterogeneous cell populations. Bull Math Biol 1992;55:993-1011.
    • (1992) Bull Math Biol , vol.55 , pp. 993-1011
    • Michelson, S.1    Leith, J.T.2
  • 17
    • 0029257161 scopus 로고
    • Interlocking triads of growth control in tumours
    • Michelson S, Leith JT: Interlocking triads of growth control in tumours. Bull Math Biol 1995;57:345-366.
    • (1995) Bull Math Biol , vol.57 , pp. 345-366
    • Michelson, S.1    Leith, J.T.2
  • 20
    • 0019222605 scopus 로고
    • Tumour escape from immune elimination
    • Grossman Berke G: Tumour escape from immune elimination. J Theor Biol 1980;83:267-296.
    • (1980) J Theor Biol , vol.83 , pp. 267-296
    • Grossman Berke, G.1
  • 21
    • 9844226323 scopus 로고    scopus 로고
    • 'Harpoon' model for cell-cell adhesion and recognition of target cells by the natural killer cells
    • in press
    • Kuznetsov VA: 'Harpoon' model for cell-cell adhesion and recognition of target cells by the natural killer cells. J Theor Biol 1997; in press.
    • (1997) J Theor Biol
    • Kuznetsov, V.A.1
  • 22
    • 0026773381 scopus 로고
    • Oncogenes, anti-oncogenes and the immune response to cancer: A mathematical model
    • Sherratt JA, Nowak MA: Oncogenes, anti-oncogenes and the immune response to cancer: a mathematical model. Proc R Soc Lond [B] 1992;248:261-271.
    • (1992) Proc r Soc Lond [B] , vol.248 , pp. 261-271
    • Sherratt, J.A.1    Nowak, M.A.2
  • 23
    • 0031558747 scopus 로고    scopus 로고
    • Pattern formation and spatiotemporal irregularity in a model for macrophage- Tumour interaction
    • in press
    • Owen MR, Sherratt JA: Pattern formation and spatiotemporal irregularity in a model for macrophage- tumour interaction. J Theor Biol 1997; in press.
    • (1997) J Theor Biol
    • Owen, M.R.1    Sherratt, J.A.2
  • 24
    • 77957181692 scopus 로고
    • A mathematical model for the production and secretion of tumour angiogenesis factor in tumours
    • Chaplain MAJ, Sleeman BD: A mathematical model for the production and secretion of tumour angiogenesis factor in tumours. IMA J Math Appl Med Biol 1990;7:93- 108.
    • (1990) IMA J Math Appl Med Biol , vol.7 , pp. 93-108
    • Chaplain, M.A.J.1    Sleeman, B.D.2
  • 25
    • 77957176863 scopus 로고
    • A model mechanism for the chemotactic response of endothelial cells to tumour angiogenesis factor
    • Chaplain MAJ, Stuart AM: A model mechanism for the chemotactic response of endothelial cells to tumour angiogenesis factor. IMA J Math Appl Med Biol 1993;10:149-168.
    • (1993) IMA J Math Appl Med Biol , vol.10 , pp. 149-168
    • Chaplain, M.A.J.1    Stuart, A.M.2
  • 26
    • 0029294735 scopus 로고
    • Mathematical models for tumour angiogenesis - Numerical simulations and non-linear wave solutions
    • Byrne HM, Chaplain MAJ: Mathematical models for tumour angiogenesis - numerical simulations and non-linear wave solutions. Bull Math Biol 1995;57:461-486.
    • (1995) Bull Math Biol , vol.57 , pp. 461-486
    • Byrne, H.M.1    Chaplain, M.A.J.2
  • 27
    • 0029422390 scopus 로고
    • From passive diffusion to active cellular migration in mathematical models of tumor invasion
    • Tracqui P: From passive diffusion to active cellular migration in mathematical models of tumor invasion. Acta Biotheor 1995;43:443-464.
    • (1995) Acta Biotheor , vol.43 , pp. 443-464
    • Tracqui, P.1
  • 28
    • 0029916325 scopus 로고    scopus 로고
    • Altered glucose metabolism and the invasive tumour phenotype
    • Gatenby RA: Altered glucose metabolism and the invasive tumour phenotype. Int J Oncol 1996;8:597- 601.
    • (1996) Int J Oncol , vol.8 , pp. 597-601
    • Gatenby, R.A.1
  • 31
    • 0025119463 scopus 로고
    • Scatter factor: Molecular characteristics and effect on the invasiveness of epithelial cells
    • Weidner KM, Behrens J, Vandekerckhove J, Birchmeier W: Scatter factor: Molecular characteristics and effect on the invasiveness of epithelial cells. J Cell Biol 1990;11: 2097-2108.
    • (1990) J Cell Biol , vol.11 , pp. 2097-2108
    • Weidner, K.M.1    Behrens, J.2    Vandekerckhove, J.3    Birchmeier, W.4
  • 32
    • 0025756331 scopus 로고
    • Secreted or nonsecreted forms of acidic fibro- Blast growth factors produced by transfected epithelial cells influence cell morphology, motility and invasive potential
    • Jouanneau J, Gavrilovic J, Carvelle D, Jaye M, Moens G: Secreted or nonsecreted forms of acidic fibro- blast growth factors produced by transfected epithelial cells influence cell morphology, motility and invasive potential. Proc Natl Acad Sci USA 1991;88:2893-2897.
    • (1991) Proc Natl Acad Sci USA , vol.88 , pp. 2893-2897
    • Jouanneau, J.1    Gavrilovic, J.2    Carvelle, D.3    Jaye, M.4    Moens, G.5
  • 33
    • 0024443222 scopus 로고
    • G-protein involvement in matrix mediated motility and invasion of high and low experimental b16 melanoma clones
    • Lester BR, McCarthy JB, Sun Z, Smith RS, Furcht KT, Spigel AM: G-protein involvement in matrix mediated motility and invasion of high and low experimental b16 melanoma clones. Cancer Res 1989;49:5940-5948.
    • (1989) Cancer Res , vol.49 , pp. 5940-5948
    • Lester, B.R.1    McCarthy, J.B.2    Sun, Z.3    Smith, R.S.4    Furcht, K.T.5    Spigel, A.M.6
  • 34
    • 0024443264 scopus 로고
    • Tumour cell interactions with elastin; implications for pulmonary metastasis
    • Yusa R, Blood CM, Zetter BR: Tumour cell interactions with elastin; implications for pulmonary metastasis. Am Rev Resp Dis 1989;140:1458-62.
    • (1989) Am Rev Resp Dis , vol.140 , pp. 1458-1462
    • Yusa, R.1    Blood, C.M.2    Zetter, B.R.3
  • 35
    • 0026559653 scopus 로고
    • Hyaluron and cell locomotion
    • Turley EA: Hyaluron and cell locomotion. Cancer Metastas Rev 1992; 11:21.
    • (1992) Cancer Metastas Rev , vol.11 , pp. 21
    • Turley, E.A.1
  • 36
    • 0023653347 scopus 로고
    • Chemotactic response of rat mammary adenocarcinoma cell clones to tumour derived cytokines
    • Atnip KD, Carter LM, Nicolson GL, Dabbous MK: Chemotactic response of rat mammary adenocarcinoma cell clones to tumour derived cytokines. Biochem Biophys Res 1987;46:996-1002.
    • (1987) Biochem Biophys Res , vol.46 , pp. 996-1002
    • Atnip, K.D.1    Carter, L.M.2    Nicolson, G.L.3    Dabbous, M.K.4
  • 37
    • 0027881807 scopus 로고
    • Chemotaxis and haptotaxis of human malignant mesothelioma cells: Effects of fibronectin, laminin, type IV collagen, and an autocrine motility factor-like substance
    • Klominek J, Robert KH, Sundqvist K-G: Chemotaxis and haptotaxis of human malignant mesothelioma cells: Effects of fibronectin, laminin, type IV collagen, and an autocrine motility factor-like substance. Cancer Res 1993;53:4376-4382.
    • (1993) Cancer Res , vol.53 , pp. 4376-4382
    • Klominek, J.1    Robert, K.H.2    Sundqvist, K.-G.3
  • 39
    • 0028285189 scopus 로고
    • Density-dependent induction of 92-kD type-IV collagenase activity in cultures of A431 human epidermoid carcinoma cells
    • Xie B, Bucana CD, Fidler U: Density-dependent induction of 92-kD type-IV collagenase activity in cultures of A431 human epidermoid carcinoma cells. Am J Pathol 1994; 144:1958-1967.
    • (1994) Am J Pathol , vol.144 , pp. 1958-1967
    • Xie, B.1    Bucana, C.D.2    Fidler, U.3
  • 40
    • 0026081069 scopus 로고
    • Partial sequencing and characterisation of the tumor cell-derived collagenase stimulatory factor
    • Nabeshima K, Lane WS, Biswas C: Partial sequencing and characterisation of the tumor cell-derived collagenase stimulatory factor. Arch Biochem Biophys 1991;285:90-96.
    • (1991) Arch Biochem Biophys , vol.285 , pp. 90-96
    • Nabeshima, K.1    Lane, W.S.2    Biswas, C.3
  • 41
    • 0026670249 scopus 로고
    • Loss of metastatic pheno- Type by a human epidermoid carcinoma cell line hep-3 is accompanied by increased expression of tissue inhibitor of metalloproteinase-2
    • Testa J: Loss of metastatic pheno- type by a human epidermoid carcinoma cell line hep-3 is accompanied by increased expression of tissue inhibitor of metalloproteinase-2. Cancer Res 1992;52:5597-5603.
    • (1992) Cancer Res , vol.52 , pp. 5597-5603
    • Testa, J.1
  • 43
    • 0025345324 scopus 로고
    • Bimodal relationship between invasion of the amniotic membrane and plasminogen activator activity
    • Tsuboi R, Rifkin DB: Bimodal relationship between invasion of the amniotic membrane and plasminogen activator activity. Int J Cancer 1990;46:56-60.
    • (1990) Int J Cancer , vol.46 , pp. 56-60
    • Tsuboi, R.1    Rifkin, D.B.2
  • 44
    • 0022656975 scopus 로고
    • Tumour invasion and metastasis: Role of the extracellular matrix
    • Liotta LA: Tumour invasion and metastasis: Role of the extracellular matrix. Cancer Res 1986;46:1-7.
    • (1986) Cancer Res , vol.46 , pp. 1-7
    • Liotta, L.A.1
  • 45
    • 0020043432 scopus 로고
    • Evaluation of some mathematical models for tumour growth
    • Vaidya VG, Alexandre FJ Jr: Evaluation of some mathematical models for tumour growth. Int J Biomed Comput 1982;13:19.
    • (1982) Int J Biomed Comput , vol.13 , pp. 19
    • Vaidya, V.G.1    Alexandre Jr., F.J.2
  • 46
    • 0023937411 scopus 로고
    • Encapsulation of tumors as a modified wound healing response
    • Barr LC, Carter RL, David AJS: Encapsulation of tumors as a modified wound healing response. Lancet 1988;ii:135-137.
    • (1988) Lancet , vol.2 , pp. 135-137
    • Barr, L.C.1    Carter, R.L.2    David, A.J.S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.