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Volumn 58, Issue 4-5, 2009, Pages 819-844

Mathematical modelling of the influence of heat shock proteins on cancer invasion of tissue

Author keywords

Cancer invasion; Haptotaxis; Heat shock proteins

Indexed keywords

HEAT SHOCK PROTEIN; HEAT SHOCK PROTEIN 90; MATRIX METALLOPROTEINASE; TUMOR PROTEIN;

EID: 58349114231     PISSN: 03036812     EISSN: 14321416     Source Type: Journal    
DOI: 10.1007/s00285-008-0220-0     Document Type: Article
Times cited : (33)

References (34)
  • 2
    • 25144494216 scopus 로고    scopus 로고
    • A hybrid mathematical model of solid tumour invasion: The importance of cell adhesion
    • ARA Anderson 2005 A hybrid mathematical model of solid tumour invasion: The importance of cell adhesion Math Med Biol 22 163 186
    • (2005) Math Med Biol , vol.22 , pp. 163-186
    • Anderson, A.R.A.1
  • 3
    • 0030788411 scopus 로고    scopus 로고
    • The urokinase-type plasminogen activator system in cancer metastasis: A review
    • PA Andreasen L Kjøller L Christensen MJ Duffy 1997 The urokinase-type plasminogen activator system in cancer metastasis: a review Int J Cancer 72 1 22
    • (1997) Int J Cancer , vol.72 , pp. 1-22
    • Andreasen, P.A.1    Kjøller, L.2    Christensen, L.3    Duffy, M.J.4
  • 7
    • 27644463491 scopus 로고    scopus 로고
    • Mathematical modelling of cancer cell invasion of tissue: The role of the urokinase plasminogen activation system
    • MAJ Chaplain G Lolas 2005 Mathematical modelling of cancer cell invasion of tissue: the role of the urokinase plasminogen activation system Math Model Methods Appl Sci 15 1685 1734
    • (2005) Math Model Methods Appl Sci , vol.15 , pp. 1685-1734
    • Chaplain, M.A.J.1    Lolas, G.2
  • 8
    • 85182867322 scopus 로고    scopus 로고
    • Mathematical modelling of cancer invasion of tissue: Dynamic heterogeneity
    • MAJ Chaplain G Lolas 2006 Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity Net Hetero Med 1 399 439
    • (2006) Net Hetero Med , vol.1 , pp. 399-439
    • Chaplain, M.A.J.1    Lolas, G.2
  • 11
    • 11344280957 scopus 로고    scopus 로고
    • Extracellular roles for the molecular chaperone, hsp90
    • BK Eustace DG Jay 2004 Extracellular roles for the molecular chaperone, hsp90 Cell Cycle 3 1098 1000
    • (2004) Cell Cycle , vol.3 , pp. 1098-1000
    • Eustace, B.K.1    Jay, D.G.2
  • 12
    • 0029751950 scopus 로고    scopus 로고
    • A reaction-diffusion model of cancer invasion
    • RA Gatenby ET Gawlinski 1996 A reaction-diffusion model of cancer invasion Cancer Res 56 5745 5753
    • (1996) Cancer Res , vol.56 , pp. 5745-5753
    • Gatenby, R.A.1    Gawlinski, E.T.2
  • 13
    • 33644524699 scopus 로고    scopus 로고
    • Robust numerical methods for taxis-diffusion-reaction systems: Applications to biomedical problems
    • A Gerisch MAJ Chaplain 2006 Robust numerical methods for taxis-diffusion-reaction systems: applications to biomedical problems Math Comput Model 43 49 75
    • (2006) Math Comput Model , vol.43 , pp. 49-75
    • Gerisch, A.1    Chaplain, M.A.J.2
  • 14
    • 38649104788 scopus 로고    scopus 로고
    • Mathematical modelling of cancer cell invasion of tissue: Local and non-local models and the effect of adhesion
    • A Gerisch MAJ Chaplain 2008 Mathematical modelling of cancer cell invasion of tissue: local and non-local models and the effect of adhesion J Theor Biol 250 684 704
    • (2008) J Theor Biol , vol.250 , pp. 684-704
    • Gerisch, A.1    Chaplain, M.A.J.2
  • 15
    • 0033724701 scopus 로고    scopus 로고
    • Chaperones in cell cycle regulation and mitogenic signal transduction: A review
    • K Helmbrecht E Zeise L Rensing 2000 Chaperones in cell cycle regulation and mitogenic signal transduction: a review Cell Prolif 6 341 65
    • (2000) Cell Prolif , vol.6 , pp. 341-65
    • Helmbrecht, K.1    Zeise, E.2    Rensing, L.3
  • 16
    • 0034605446 scopus 로고    scopus 로고
    • Role of the heat shock response and molecular chaperones in oncogenesis and cell death
    • C Jolly RI Morimoto 2000 Role of the heat shock response and molecular chaperones in oncogenesis and cell death J. Natl Cancer Inst 92 1564 1572
    • (2000) J. Natl Cancer Inst , vol.92 , pp. 1564-1572
    • Jolly, C.1    Morimoto, R.I.2
  • 17
    • 0034564115 scopus 로고    scopus 로고
    • Travelling shock waves arising in a model of malignant invasion
    • BP Marchant J Norbury AJ Perumpananii 2000 Travelling shock waves arising in a model of malignant invasion SIAM J Appl Math 2 463 476
    • (2000) SIAM J Appl Math , vol.2 , pp. 463-476
    • Marchant, B.P.1    Norbury, J.2    Perumpananii, A.J.3
  • 18
    • 0035511361 scopus 로고    scopus 로고
    • Travelling wave solutions to a haptotaxix-dominated model of malignant invasion
    • BP Marchant J Norbury JA Sherratt 2001 Travelling wave solutions to a haptotaxix-dominated model of malignant invasion Nonlinearity 14 1653 1671
    • (2001) Nonlinearity , vol.14 , pp. 1653-1671
    • Marchant, B.P.1    Norbury, J.2    Sherratt, J.A.3
  • 19
    • 23744475767 scopus 로고    scopus 로고
    • Diffusive and chemotactic cellular migration: Smooth and discontinuous travelling wave solutions
    • KA Landman MJ Simpson JL SLater DF Newgreen 2005 Diffusive and chemotactic cellular migration: smooth and discontinuous travelling wave solutions SIAM J Appl Math 4 1420 1442
    • (2005) SIAM J Appl Math , vol.4 , pp. 1420-1442
    • Landman, K.A.1    Simpson, M.J.2    Slater, J.L.3    Newgreen, D.F.4
  • 20
    • 0039440566 scopus 로고    scopus 로고
    • A two parameter family of travelling waves with a singular barrier arising from the modelling of extracellular matrix mediated cell invasion
    • AJ Perumpanani JA Sherratt J Norbury HM Byrne 1999 A two parameter family of travelling waves with a singular barrier arising from the modelling of extracellular matrix mediated cell invasion Phys D 126 145 159
    • (1999) Phys D , vol.126 , pp. 145-159
    • Perumpanani, A.J.1    Sherratt, J.A.2    Norbury, J.3    Byrne, H.M.4
  • 22
    • 27644503155 scopus 로고    scopus 로고
    • Micro and meso scales of description corresponding to a model of tissue invasion by solid tumours
    • M Lachowicz 2005 Micro and meso scales of description corresponding to a model of tissue invasion by solid tumours Math Model Methods Appl Sci 15 1667 1683
    • (2005) Math Model Methods Appl Sci , vol.15 , pp. 1667-1683
    • Lachowicz, M.1
  • 23
    • 0002670122 scopus 로고    scopus 로고
    • A mathematical model of vascular tumour growth and invasion
    • ME Orme MAJ Chaplain 1996 A mathematical model of vascular tumour growth and invasion Math Comput Model 23 43 60
    • (1996) Math Comput Model , vol.23 , pp. 43-60
    • Orme, M.E.1    Chaplain, M.A.J.2
  • 26
    • 21244495733 scopus 로고    scopus 로고
    • Mathematical modeling of the eukaryotic heat shock response: Dynamics of the hsp70 promoter
    • TR Rieger RI Morimoto V Hatzimanikatis 2005 Mathematical modeling of the eukaryotic heat shock response: dynamics of the hsp70 promoter Biophys J 88 1646 1658
    • (2005) Biophys J , vol.88 , pp. 1646-1658
    • Rieger, T.R.1    Morimoto, R.I.2    Hatzimanikatis, V.3
  • 27
    • 33646191170 scopus 로고    scopus 로고
    • Bistability explains threshold phenomena in protein aggregation both in vitro and in vivo
    • TR Rieger RI Morimoto V Hatzimanikatis 2006 Bistability explains threshold phenomena in protein aggregation both in vitro and in vivo Biophys J 90 886 95
    • (2006) Biophys J , vol.90 , pp. 886-95
    • Rieger, T.R.1    Morimoto, R.I.2    Hatzimanikatis, V.3
  • 29
    • 0028003498 scopus 로고
    • Chemotaxis and chemokinesis in eukaryotic cells: The Keller-Segel equations as an approximation to a detailed model
    • JA Sherratt 1994 Chemotaxis and chemokinesis in eukaryotic cells: the Keller-Segel equations as an approximation to a detailed model Bull Math Biol 56 129 146
    • (1994) Bull Math Biol , vol.56 , pp. 129-146
    • Sherratt, J.A.1
  • 30
    • 0002054204 scopus 로고
    • A method for the spatial discretization of parabolic equations in one space variable
    • RD Skeel M Berzins 1990 A method for the spatial discretization of parabolic equations in one space variable SIAM J Scientific Stat Comput 11 1 32
    • (1990) SIAM J Scientific Stat Comput , vol.11 , pp. 1-32
    • Skeel, R.D.1    Berzins, M.2
  • 31
    • 0025991093 scopus 로고
    • Analysis of the roles of microvessel endothelial cell random motility and chemotaxis in angiogenesis
    • CL Stokes D Lauffenburger 1991 Analysis of the roles 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.2
  • 32
    • 0024988094 scopus 로고
    • The E. coli dnaK gene product, the hsp70 homolog, can reactivate heat-inactivated RNA polymerase in an ATP hydrolysis-dependent manner
    • D Skowyra C Georgopoulos M Żylicz 1990 The E. coli dnaK gene product, the hsp70 homolog, can reactivate heat-inactivated RNA polymerase in an ATP hydrolysis-dependent manner Cell 62 939 944
    • (1990) Cell , vol.62 , pp. 939-944
    • Skowyra, D.1    Georgopoulos, C.2    Zylicz, M.3
  • 33
    • 0033520987 scopus 로고    scopus 로고
    • Posttranslational quality control: Folding, refolding, and degrading proteins
    • S Wickner MR Maurizi S Gottesman 1999 Posttranslational quality control: folding, refolding, and degrading proteins Science 286 1888 1893
    • (1999) Science , vol.286 , pp. 1888-1893
    • Wickner, S.1    Maurizi, M.R.2    Gottesman, S.3
  • 34
    • 0035801391 scopus 로고    scopus 로고
    • Hsp70 interactions with the p53 tumour suppressor protein
    • M Żylicz FW King A Wawrzynow 2001 Hsp70 interactions with the p53 tumour suppressor protein EMBO J 20 4634 4638
    • (2001) EMBO J , vol.20 , pp. 4634-4638
    • Zylicz, M.1    King, F.W.2    Wawrzynow, A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.