메뉴 건너뛰기




Volumn 4, Issue 1, 2003, Pages 87-107

Mathematical analysis of a 3-variable cell cycle model

Author keywords

Bifurcation; Cell cycle; Cyclin E; G1 phase regulation; Mathematical model; Rb

Indexed keywords


EID: 0037332654     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1468-1218(02)00015-9     Document Type: Article
Times cited : (7)

References (20)
  • 1
    • 0028980494 scopus 로고
    • p53 controls both G2/M and the G1 cell cycle checkpoints and mediates reversible growth arrest in human fibroblasts
    • M.L. Agarwal, A. Agarwal, W.R. Taylor, G.R. Stark, p53 controls both G2/M and the G1 cell cycle checkpoints and mediates reversible growth arrest in human fibroblasts, Proc. Natl. Acad. Sci. USA 92 (1995) 8493-8497.
    • (1995) Proc. Natl. Acad. Sci. USA , vol.92 , pp. 8493-8497
    • Agarwal, M.L.1    Agarwal, A.2    Taylor, W.R.3    Stark, G.R.4
  • 2
    • 0032494690 scopus 로고    scopus 로고
    • Bifurcation analysis of a model of mitotic control in frog eggs
    • M.T. Borisuk, J.J. Tyson, Bifurcation analysis of a model of mitotic control in frog eggs, J. Theor. Biol. 195 (1998) 69-85.
    • (1998) J. Theor. Biol , vol.195 , pp. 69-85
    • Borisuk, M.T.1    Tyson, J.J.2
  • 3
    • 0033627659 scopus 로고    scopus 로고
    • The continuum model and G1-control of the mammalian cell cycle
    • S. Cooper, The continuum model and G1-control of the mammalian cell cycle, Prog. Cell Cycle Res. 4 (2000) 27-39.
    • (2000) Prog. Cell Cycle Res , vol.4 , pp. 27-39
    • Cooper, S.1
  • 5
    • 0026006671 scopus 로고
    • A minimal cascade model for the mitotic oscillator involving cyclin and cdc2 kinase
    • A. Goldbeter, A minimal cascade model for the mitotic oscillator involving cyclin and cdc2 kinase, Proc. Natl. Acad. Sci. USA 88 (1991) 9107-9111.
    • (1991) Proc. Natl. Acad. Sci. USA , vol.88 , pp. 9107-9111
    • Goldbeter, A.1
  • 6
    • 0026058874 scopus 로고
    • The retinoblastoma gene product regulates progression through the G1 phase of the cell cycle
    • D.W. Goodrich, N.P. Wang, Y.-W. Qian, E.Y.-H. Lee, W.-H. Lee, The retinoblastoma gene product regulates progression through the G1 phase of the cell cycle, Cell 67 (1991) 293-302.
    • (1991) Cell , vol.67 , pp. 293-302
    • Goodrich, D.W.1    Wang, N.P.2    Qian, Y.-W.3    Lee, E.Y.-H.4    Lee, W.-H.5
  • 7
    • 0033590255 scopus 로고    scopus 로고
    • A mathematical description of regulation of the G1-S transition of the mammalian cell cycle
    • V. Hatzimanikatis, K.H. Lee, J.E. Bailey, A mathematical description of regulation of the G1-S transition of the mammalian cell cycle, Biotechnol. Bioeng. 65 (1999) 631-637.
    • (1999) Biotechnol. Bioeng , vol.65 , pp. 631-637
    • Hatzimanikatis, V.1    Lee, K.H.2    Bailey, J.E.3
  • 8
    • 0003779190 scopus 로고
    • Differential Equations, Dynamical Systems, and Linear Algebra
    • Academic Press, New York
    • M. Hirsch, S. Smale, Differential Equations, Dynamical Systems, and Linear Algebra, Academic Press, New York, 1974.
    • (1974)
    • Hirsch, M.1    Smale, S.2
  • 9
    • 0032568043 scopus 로고    scopus 로고
    • Functional capabilities of molecular network components controlling the mammalian G1/S cell cycle phase transition
    • K.W. Kohn, Functional capabilities of molecular network components controlling the mammalian G1/S cell cycle phase transition, Oncogene 16 (1998) 1065-1075.
    • (1998) Oncogene , vol.16 , pp. 1065-1075
    • Kohn, K.W.1
  • 10
    • 0004099712 scopus 로고
    • The Cell Cycle
    • Oxford University Press, Oxford
    • A. Murray, T. Hunt, The Cell Cycle, Oxford University Press, Oxford, 1993.
    • (1993)
    • Murray, A.1    Hunt, T.2
  • 11
    • 0026126660 scopus 로고
    • A model for the adjustment of the mitotic clock by cyclin and MPF levels
    • R. Norel, Z. Agur, A model for the adjustment of the mitotic clock by cyclin and MPF levels, Science 251 (1991) 1076-1078.
    • (1991) Science , vol.251 , pp. 1076-1078
    • Norel, R.1    Agur, Z.2
  • 12
    • 0027451906 scopus 로고
    • Modeling the cell division cycle: M-phase trigger, oscillations and size control
    • B. Novak, J.J. Tyson, Modeling the cell division cycle: M-phase trigger, oscillations and size control J. Theor. Biol. 165 (1993) 101-134.
    • (1993) J. Theor. Biol , vol.165 , pp. 101-134
    • Novak, B.1    Tyson, J.J.2
  • 13
    • 0028839894 scopus 로고
    • A model of the G1 phase of the cell cycle incorporating cyclin E/cdk2 complex and retinoblastoma protein
    • M.N. Obeyesekere, J.R. Herbert, S.O. Zimmerman, A model of the G1 phase of the cell cycle incorporating cyclin E/cdk2 complex and retinoblastoma protein, Oncogene 11 (1995) 1199-1205.
    • (1995) Oncogene , vol.11 , pp. 1199-1205
    • Obeyesekere, M.N.1    Herbert, J.R.2    Zimmerman, S.O.3
  • 14
    • 0030731071 scopus 로고    scopus 로고
    • A mathematical model of the regulation of the G1 phase of RB+/+ and RB-/- mouse embryonic fibroblasts and an osteosarcoma cell line
    • M.N. Obeyesekere, E.S. Knudsen, J.Y.J. Wang, S.O. Zimmerman, A mathematical model of the regulation of the G1 phase of RB+/+ and RB-/- mouse embryonic fibroblasts and an osteosarcoma cell line, Cell Prolif. 30 (1997) 171-194.
    • (1997) Cell Prolif , vol.30 , pp. 171-194
    • Obeyesekere, M.N.1    Knudsen, E.S.2    Wang, J.Y.J.3    Zimmerman, S.O.4
  • 15
    • 0032834675 scopus 로고    scopus 로고
    • A model of cell cycle behavior dominated by kinetics of a pathway stimulated by growth factors
    • M.N. Obeyesekere, E.S. Tecarro, G. Auchmuty, S.O. Zimmerman, A model of cell cycle behavior dominated by kinetics of a pathway stimulated by growth factors, Bull. Math. Biol. 61 (1999) 917-934.
    • (1999) Bull. Math. Biol , vol.61 , pp. 917-934
    • Obeyesekere, M.N.1    Tecarro, E.S.2    Auchmuty, G.3    Zimmerman, S.O.4
  • 16
    • 0025348820 scopus 로고
    • TGF-β1 inhibition of c-myc transcription and growth in keratinocytes is abrogated by viral transforming proteins with pRB binding domains
    • J.A. Pietenpol, et al., TGF-β1 inhibition of c-myc transcription and growth in keratinocytes is abrogated by viral transforming proteins with pRB binding domains, Cell 61 (1990) 777-785.
    • (1990) Cell , vol.61 , pp. 777-785
    • Pietenpol, J.A.1
  • 17
    • 0010737174 scopus 로고    scopus 로고
    • Qualitative analysis of a model of the mammalian cell cycle's G1-phase
    • Doctoral Dissertation, University of Houston Department of Mathematics
    • E.S. Tecarro, Qualitative analysis of a model of the mammalian cell cycle's G1-phase, Doctoral Dissertation, University of Houston Department of Mathematics, 2000.
    • (2000)
    • Tecarro, E.S.1
  • 18
    • 0025950990 scopus 로고
    • Mathematical analysis of a model of the mitotic clock
    • C.D. Thron, Mathematical analysis of a model of the mitotic clock, Science 254 (1991) 122-123.
    • (1991) Science , vol.254 , pp. 122-123
    • Thron, C.D.1
  • 19
    • 0030767422 scopus 로고    scopus 로고
    • Bistable biochemical switching and the control of the events of the cell cycle
    • C.D. Thron, Bistable biochemical switching and the control of the events of the cell cycle, Oncogene 15 (1997) 317-325.
    • (1997) Oncogene , vol.15 , pp. 317-325
    • Thron, C.D.1
  • 20
    • 0025826876 scopus 로고
    • Modeling the cell division cycle: Cdc2 and cyclin interactions
    • J.J. Tyson, Modeling the cell division cycle: cdc2 and cyclin interactions Proc. Natl. Acad. Sci. USA 88 (1991) 7328-7332.
    • (1991) Proc. Natl. Acad. Sci. USA , vol.88 , pp. 7328-7332
    • Tyson, J.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.