메뉴 건너뛰기




Volumn 28, Issue 1, 1997, Pages 134-143

Chaos and ultradian rhythms

Author keywords

cell division cycle; chaos; circadian; ultradian

Indexed keywords

CELL DIVISION; CIRCADIAN RHYTHM; CONFERENCE PAPER; MATHEMATICAL MODEL; MITOSIS; OSCILLATOR; ULTRADIAN RHYTHM;

EID: 0030963374     PISSN: 09291016     EISSN: None     Source Type: Journal    
DOI: 10.1076/brhm.28.1.134.12982     Document Type: Conference Paper
Times cited : (6)

References (36)
  • 1
    • 12644314708 scopus 로고
    • The transition probability model: Successes, limitations, and deficiencies
    • L. Rensing and N.I.Jaeger (eds.). Springer-Verlag, Berlin
    • BROOKS, R.F. (1985): The transition probability model: successes, limitations, and deficiencies. In: Temporal Order, L. Rensing and N.I.Jaeger (eds.). Springer-Verlag, Berlin.
    • (1985) Temporal Order
    • Brooks, R.F.1
  • 2
    • 0017706103 scopus 로고
    • Mathematical model of periodic processes in membranes with application to cell cycle regulation
    • CHERNAVSKII, D.S., PALAMARCHUK, E.K., POLEXHAEV, A.A., SOLYANIK, G.I. and BURLAKOVA, E.B. (1977): Mathematical model of periodic processes in membranes with application to cell cycle regulation. Biosystems, 9: 187-183.
    • (1977) Biosystems , vol.9 , pp. 187-183
    • Chernavskii, D.S.1    Palamarchuk, E.K.2    Polexhaev, A.A.3    Solyanik, G.I.4    Burlakova, E.B.5
  • 3
    • 0014316018 scopus 로고
    • On deterministic origins of mitotic variability
    • ENGELBERG, J. (1968): On deterministic origins of mitotic variability. J.Theoret. Biol., 20: 249-251.
    • (1968) J.Theoret. Biol. , vol.20 , pp. 249-251
    • Engelberg, J.1
  • 4
    • 49549150209 scopus 로고
    • The nature of the cell cycle and the control of cell proliferation
    • GILBERT, D.A. (1974): The nature of the cell cycle and the control of cell proliferation. Biosystems, 5: 197-204.
    • (1974) Biosystems , vol.5 , pp. 197-204
    • Gilbert, D.A.1
  • 5
    • 4243241623 scopus 로고
    • Oscillations and cancer
    • D. Lloyd and E.L. Rossi (eds.). Springer-Verlag, London
    • GILBERT, D.A. and MACKINNON, J. (1992): Oscillations and cancer. In: Ultradian Rhythms in Life Processes, D. Lloyd and E.L. Rossi (eds.). Springer-Verlag, London, pp. 71-88.
    • (1992) Ultradian Rhythms in Life Processes , pp. 71-88
    • Gilbert, D.A.1    Mackinnon, J.2
  • 6
    • 0025057886 scopus 로고
    • A deterministic model of the cell cycle
    • GRASMAN, J. (1990): A deterministic model of the cell cycle. Bull. Math. Biol., 52: 535.
    • (1990) Bull. Math. Biol. , vol.52 , pp. 535
    • Grasman, J.1
  • 7
    • 40749093037 scopus 로고
    • Measuring the strangeness of strange attractors
    • GRASSBERGER, P. and PROCACCIA, I. (1983): Measuring the strangeness of strange attractors. Physica. 9D: 189-208.
    • (1983) Physica , vol.9 D , pp. 189-208
    • Grassberger, P.1    Procaccia, I.2
  • 8
    • 0025663995 scopus 로고
    • MPF and cyclin: Modelling of the cell cycle minimum oscillator
    • HYVEK, C. and LEGUYADER, J. (1990): MPF and cyclin: modelling of the cell cycle minimum oscillator. BioSystems, 24: 85-90.
    • (1990) BioSystems , vol.24 , pp. 85-90
    • Hyvek, C.1    Leguyader, J.2
  • 9
    • 0008559457 scopus 로고
    • Quantized generation times in mammalian cells as an expression of the cellular clock
    • KLEVECZ, R.R. (1976): Quantized generation times in mammalian cells as an expression of the cellular clock. Proc. Natl. Acad. Sci. U.S.A., 73: 4012-4016.
    • (1976) Proc. Natl. Acad. Sci. U.S.A. , vol.73 , pp. 4012-4016
    • Klevecz, R.R.1
  • 10
    • 0007422849 scopus 로고
    • A precise circadian clock from chaotic cell cycle oscillations
    • D.Lloyd and E.L. Rossi (eds.). Springer-Verlag, London
    • KLEVECZ, R.R. (1992): A precise circadian clock from chaotic cell cycle oscillations. In: Ultradian Rhythms in Life Processes. D.Lloyd and E.L. Rossi (eds.). Springer-Verlag, London, pp. 41-70.
    • (1992) Ultradian Rhythms in Life Processes , pp. 41-70
    • Klevecz, R.R.1
  • 11
    • 0001924144 scopus 로고
    • Life at the edge of chaos
    • C.G. Langton,C. Taylor, J.D. Farmer and S. Rasmussen (eds.). Addison-Weslcy, Santa Fe, N.M.
    • LANGTON, C.G. (1991): Life at the edge of chaos. In: Artificial Life II. Studies in the Science of Complexity, C.G. Langton,C. Taylor, J.D. Farmer and S. Rasmussen (eds.). Addison-Weslcy, Santa Fe, N.M., pp. 41-91.
    • (1991) Artificial Life II. Studies in the Science of Complexity , pp. 41-91
    • Langton, C.G.1
  • 12
    • 0028987230 scopus 로고
    • The coupled logistic map : A simple model for the effects of spatial heterogenity on population dynamics
    • LLOYD, A.L. (1995): The coupled logistic map : a simple model for the effects of spatial heterogenity on population dynamics. J.Theor. Biol., 173: 217-230.
    • (1995) J.Theor. Biol. , vol.173 , pp. 217-230
    • Lloyd, A.L.1
  • 13
    • 0027302961 scopus 로고
    • Hypothesis: The central oscillator of the circadian clock is a controlled chaotic oscillator
    • LLOYD, A.L. and LLOYD, D. (1993): Hypothesis: the central oscillator of the circadian clock is a controlled chaotic oscillator. BioSystems, 29: 77-85.
    • (1993) BioSystems , vol.29 , pp. 77-85
    • Lloyd, A.L.1    Lloyd, D.2
  • 14
    • 0001054470 scopus 로고
    • Chaos: Its significance and detection in biology
    • LLOYD, A.L. and LLOYD, D. (1995): Chaos: its significance and detection in biology. Biol. Rhythm, Res., 26: 233-252.
    • (1995) Biol. Rhythm, Res. , vol.26 , pp. 233-252
    • Lloyd, A.L.1    Lloyd, D.2
  • 15
    • 0002852207 scopus 로고
    • Intracellular time keeping: Epigenetic oscillations reveal the functions of an ultradian clock
    • D.Lloyd and E.L.Rossi (eds.). Springer-Verlag, London
    • LLOYD, D. (1992): Intracellular time keeping: epigenetic oscillations reveal the functions of an ultradian clock. In: Ultradian Rhythms in Life Processes, D.Lloyd and E.L.Rossi (eds.). Springer-Verlag, London, pp. 5-22.
    • (1992) Ultradian Rhythms in Life Processes , pp. 5-22
    • Lloyd, D.1
  • 16
    • 8244247283 scopus 로고
    • A controlled chaotic attractor controls life
    • E.Gnaiger, F.N. Gellerich and M.Wyss (eds.). Innsbruck Univ. Press, Innsbruck
    • LLOYD, D. (1994): A controlled chaotic attractor controls life. In: What is controlling life? 50 years after Erwin Schrodinger's What is Life? E.Gnaiger, F.N. Gellerich and M.Wyss (eds.). Innsbruck Univ. Press, Innsbruck, pp. 77-80.
    • (1994) What is Controlling Life? 50 Years after Erwin Schrodinger's What is Life? , pp. 77-80
    • Lloyd, D.1
  • 17
    • 0028838839 scopus 로고
    • Vigour, vitality and viability of microorganisms
    • LLOYD, D. and HAYES, A.J. (1995): Vigour, vitality and viability of microorganisms. FEMS Microbiol. Lett., 133: 1-7.
    • (1995) FEMS Microbiol. Lett. , vol.133 , pp. 1-7
    • Lloyd, D.1    Hayes, A.J.2
  • 18
    • 0023476618 scopus 로고
    • A temperature compensated ultradian clock explains temperature-dependent quantal cell cycle times
    • K.Bowler and B.J.Fuller (eds.). Cambridge University Press
    • LLOYD, D. and KIPPERT, F. (1987): A temperature compensated ultradian clock explains temperature-dependent quantal cell cycle times. In: Temperature and Animal Cells, K.Bowler and B.J.Fuller (eds.). Cambridge University Press, pp. 135-155.
    • (1987) Temperature and Animal Cells , pp. 135-155
    • Lloyd, D.1    Kippert, F.2
  • 19
    • 8244236550 scopus 로고
    • A controlled chaotic attractor could provide a tuneable oscillator for circadian clocks
    • LLOYD, D. and LLOYD, A.L. (1994a): A controlled chaotic attractor could provide a tuneable oscillator for circadian clocks. Biol. Rhythm Res., 25: 235-240.
    • (1994) Biol. Rhythm Res. , vol.25 , pp. 235-240
    • Lloyd, D.1    Lloyd, A.L.2
  • 20
    • 8244260225 scopus 로고
    • Hypothesis: A controlled chaotic attractor constitutes the central oscillator of the circadian clock
    • LLOYD, D. and LLOYD, A.L. (1994b): Hypothesis: a controlled chaotic attractor constitutes the central oscillator of the circadian clock. Bull. Group d'Etude des Rhythmes biolog., 26: 188-192.
    • (1994) Bull. Group d'Etude des Rhythmes Biolog. , vol.26 , pp. 188-192
    • Lloyd, D.1    Lloyd, A.L.2
  • 21
    • 0027786464 scopus 로고
    • Biological rhythms as organization and information
    • LLOYD, D. and ROSSI, E.L. (1993): Biological rhythms as organization and information. Biol. Rev., 68: 563-577.
    • (1993) Biol. Rev. , vol.68 , pp. 563-577
    • Lloyd, D.1    Rossi, E.L.2
  • 22
    • 0025919294 scopus 로고
    • The occurrence and functions of ultradian rhythms
    • LLOYD, D. and STUPFEL, M. (1991): The occurrence and functions of ultradian rhythms. Biol. Rev., 66: 275-299.
    • (1991) Biol. Rev. , vol.66 , pp. 275-299
    • Lloyd, D.1    Stupfel, M.2
  • 23
    • 0025057076 scopus 로고
    • Quantized cell cycle times: Interaction between a relaxation oscillator and ultradian clock pulses
    • LLOYD, D. and VOLKOV, E.I. (1990): Quantized cell cycle times: interaction between a relaxation oscillator and ultradian clock pulses. BioSystems, 23: 305-310.
    • (1990) BioSystems , vol.23 , pp. 305-310
    • Lloyd, D.1    Volkov, E.I.2
  • 24
    • 8244254524 scopus 로고
    • The ultradian clock: Timekeeping for intracellular dynamic
    • E. Mosekilde and L. Mosekilde (eds.). Plenum Press, New York, N.Y.
    • LLOYD, D. and VOLKOV, E.I. (1991): The ultradian clock: timekeeping for intracellular dynamic. In: Complexity, Chaos and Biological Evolution, E. Mosekilde and L. Mosekilde (eds.). Plenum Press, New York, N.Y., pp. 51-60.
    • (1991) Complexity, Chaos and Biological Evolution , pp. 51-60
    • Lloyd, D.1    Volkov, E.I.2
  • 25
    • 0020144046 scopus 로고
    • Temperature-compensated oscillations in respiration and cellular protein content in synchronous cultures of Acanthamoeba castellanii
    • LLOYD, D., EDWARDS, S.W. and FRY, J.C. (1982a): Temperature-compensated oscillations in respiration and cellular protein content in synchronous cultures of Acanthamoeba castellanii. Proc. Natl. Acad. Sci. U.S.A., 79: 3786-3788.
    • (1982) Proc. Natl. Acad. Sci. U.S.A. , vol.79 , pp. 3786-3788
    • Lloyd, D.1    Edwards, S.W.2    Fry, J.C.3
  • 27
    • 0026786864 scopus 로고
    • The cell division cycle: A physiologically plausible dynamic model can exhibit chaotic solutions
    • LLOYD, D., LLOYD, A.L. and OLSEN, L.F. (1992): The cell division cycle: a physiologically plausible dynamic model can exhibit chaotic solutions. BioSystems. 27: 17-24.
    • (1992) BioSystems , vol.27 , pp. 17-24
    • Lloyd, D.1    Lloyd, A.L.2    Olsen, L.F.3
  • 28
    • 0002191439 scopus 로고
    • A deterministic cell cycle model with transition probability-like behaviour
    • L. Rensing and N.I. Jaeger (eds.). Springer-Verlag. Berlin
    • MACKEY, M.C. (1985): A deterministic cell cycle model with transition probability-like behaviour In: Temporal Order, L. Rensing and N.I. Jaeger (eds.). Springer-Verlag. Berlin, pp. 315-320.
    • (1985) Temporal Order , pp. 315-320
    • Mackey, M.C.1
  • 29
    • 0009617246 scopus 로고
    • A mitotic oscillator with a strange attractor and distributions of cell cycle times
    • H. Othmer (eds.). Springer-Verlag, Berlin
    • MACKEY, M.C., SANTAVY, M. and SELEPOVA, P. (1986): A mitotic oscillator with a strange attractor and distributions of cell cycle times. In: Nonlinear Oscillations in Biology and Chemistry, H. Othmer (eds.). Springer-Verlag, Berlin.
    • (1986) Nonlinear Oscillations in Biology and Chemistry
    • Mackey, M.C.1    Santavy, M.2    Selepova, P.3
  • 30
    • 0019951826 scopus 로고
    • On the distribution of cell generation times
    • MUSTAFIN, A.T. and VOLKOV, E.I. (1977): On the distribution of cell generation times. BioSystems, 15: 111-126.
    • (1977) BioSystems , vol.15 , pp. 111-126
    • Mustafin, A.T.1    Volkov, E.I.2
  • 31
    • 0026126660 scopus 로고
    • A model for the adjustment of the mitotic clock by cyclin and MPF levels
    • NOREL, R. and AGUR, Z. (1991): A model for the adjustment of the mitotic clock by cyclin and MPF levels. Science, 251: 1076-1078.
    • (1991) Science , vol.251 , pp. 1076-1078
    • Norel, R.1    Agur, Z.2
  • 33
    • 34250315551 scopus 로고
    • Continuous control of chaos by self-controlling feed-back
    • PYRAGAS, K. (1992): Continuous control of chaos by self-controlling feed-back. Phys. Lett., 170: 421-428.
    • (1992) Phys. Lett. , vol.170 , pp. 421-428
    • Pyragas, K.1
  • 34
    • 0014872297 scopus 로고
    • Two alternative self-oscillating stationary states in thiol metabolism - Two alternative types of cell division normal and malignant ones
    • SEL'KOV, E.E. (1970): Two alternative self-oscillating stationary states in thiol metabolism - two alternative types of cell division normal and malignant ones. Biophysika, 15: 1065-1073.
    • (1970) Biophysika , vol.15 , pp. 1065-1073
    • Sel'kov, E.E.1
  • 35
    • 0008494528 scopus 로고
    • Determining Lyapunov exponents from a times series
    • WOLF, A., SWIFT, J.B., SWINNEY, H.L. and VASTANO, J.A. (1985): Determining Lyapunov exponents from a times series. Physica, 16D: 285-318.
    • (1985) Physica , vol.16 D , pp. 285-318
    • Wolf, A.1    Swift, J.B.2    Swinney, H.L.3    Vastano, J.A.4
  • 36
    • 0020103961 scopus 로고
    • Outline of a physical theory of physiological systems
    • YATES, F.E. (1992): Outline of a physical theory of physiological systems. J. Physiol. Pharmacol., 60: 217-248.
    • (1992) J. Physiol. Pharmacol. , vol.60 , pp. 217-248
    • Yates, F.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.