메뉴 건너뛰기




Volumn 1, Issue , 2011, Pages

Intrinsic noise alters the frequency spectrum of mesoscopic oscillatory chemical reaction systems

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; BIOLOGICAL RHYTHM; CHEMICAL MODEL; COMPUTER SIMULATION; KINETICS; NONLINEAR SYSTEM; OSMOLARITY;

EID: 84859746253     PISSN: None     EISSN: 20452322     Source Type: Journal    
DOI: 10.1038/srep00154     Document Type: Article
Times cited : (15)

References (49)
  • 1
    • 0039450317 scopus 로고
    • Pattern formation in oscillatory chemical reactions
    • Kuramoto, Y. and Yamada, T. Pattern formation in oscillatory chemical reactions. Progr. Theoret. Phys. 56, 724-740 (1976).
    • (1976) Progr. Theoret. Phys , vol.56 , pp. 724-740
    • Kuramoto, Y.1    Yamada, T.2
  • 2
    • 0000443824 scopus 로고
    • Turbulence and standing waves in oscillatory chemical reactions with global coupling
    • Mertens, F., Imbihl, R., and Mikhailov, A. Turbulence and standing waves in oscillatory chemical reactions with global coupling. J. Chem. Phys. 101, 9903 (1994).
    • (1994) J. Chem. Phys , vol.101 , pp. 9903
    • Mertens, F.1    Imbihl, R.2    Mikhailov, A.3
  • 4
    • 0001384996 scopus 로고
    • Vortex dynamics in oscillatory chemical systems
    • Wu, X., Chee, M., and Kapral, R. Vortex dynamics in oscillatory chemical systems. Chaos 1, 421 (1991).
    • (1991) Chaos , vol.1 , pp. 421
    • Wu, X.1    Chee, M.2    Kapral, R.3
  • 5
    • 44049103351 scopus 로고    scopus 로고
    • Internal noise-sustained circadian rhythms in a drosophila model
    • Li, Q. and Lang, X. Internal noise-sustained circadian rhythms in a drosophila model. Biophys. J. 94, 1983-1994 (2008).
    • (2008) Biophys. J , vol.94 , pp. 1983-1994
    • Li, Q.1    Lang, X.2
  • 6
    • 78149369911 scopus 로고    scopus 로고
    • Emergence of noise-induced oscillations in the central circadian pacemaker
    • October
    • Ko, C. H. et al. Emergence of noise-induced oscillations in the central circadian pacemaker. PLoS Biol. 8, e1000513, October (2010).
    • (2010) PLoS Biol , vol.8
    • Ko, C.H.1
  • 7
    • 15044341917 scopus 로고    scopus 로고
    • Cellular oscillators: Rhythmic gene expression and metabolism
    • DOI 10.1016/j.ceb.2005.01.007, Cell Regulation
    • Schibler, U. and Naef, F. Cellular oscillators: rhythmic gene expression and metabolism. Curr. Opin. Cell Biol. 17, 223-229 (2005). (Pubitemid 40380948)
    • (2005) Current Opinion in Cell Biology , vol.17 , Issue.2 , pp. 223-229
    • Schibler, U.1    Naef, F.2
  • 8
    • 0018502197 scopus 로고
    • The glycolytic oscillator
    • Hess, B. The glycolytic oscillator. J. Exp. Biol. 81, 7-14 (1979).
    • (1979) J. Exp. Biol , vol.81 , pp. 7-14
    • Hess, B.1
  • 9
    • 0038115065 scopus 로고    scopus 로고
    • The segmentation clock: Converting embryonic time into spatial pattern
    • Pourquié, O. The segmentation clock: converting embryonic time into spatial pattern. Science 301, 328 (2003).
    • (2003) Science , vol.301 , pp. 328
    • Pourquié, O.1
  • 10
    • 0032846485 scopus 로고    scopus 로고
    • Topological regulation of cell division in Escherichia coli involves rapid pole to pole oscillation of the division inhibitor MinC under the control of MinD and MinE
    • DOI 10.1046/j.1365-2958.1999.01575.x
    • Hu, Z. and Lutkenhaus, J. Topological regulation of cell division in Escherichia coli involves rapid pole to pole oscillation of the division inhibitor MinC under the control of MinD and MinE. Mol. Microbiol. 34, 82-90 (1999). (Pubitemid 29460487)
    • (1999) Molecular Microbiology , vol.34 , Issue.1 , pp. 82-90
    • Hu, Z.1    Lutkenhaus, J.2
  • 11
    • 0027716813 scopus 로고
    • Numerical analysis of a comprehensive model of M-phase control in Xenopus oocyte extracts and intact embryos
    • Novak, B. and Tyson, J. Numerical analysis of a comprehensive model ofM-phase control in Xenopus oocyte extracts and intact embryos. J. Cell Sci. 106, 1153-1168 (1993). (Pubitemid 24018401)
    • (1993) Journal of Cell Science , vol.106 , Issue.4 , pp. 1153-1168
    • Novak, B.1    Tyson, J.J.2
  • 12
    • 0029979217 scopus 로고    scopus 로고
    • Chemical kinetic theory: Understanding cell-cycle regulation
    • DOI 10.1016/0968-0004(96)10011-6
    • Tyson, J., Novak, B., Odell, G., Chen, K., and Dennis Thron, C. Chemical kinetic theory: understanding cell-cycle regulation. Trends Biochem. Sci. 21, 89-96 (1996). (Pubitemid 26085980)
    • (1996) Trends in Biochemical Sciences , vol.21 , Issue.3 , pp. 89-96
    • Tyson, J.J.1    Novak, B.2    Odell, G.M.3    Chen, K.4    Thron, C.D.5
  • 13
    • 0001455869 scopus 로고
    • Relationship between stochastic and deterministic models for chemical reactions
    • Kurtz, T. G. Relationship between stochastic and deterministic models for chemical reactions. J. Chem. Phys. 57, 2976-2978 (1972).
    • (1972) J. Chem. Phys , vol.57 , pp. 2976-2978
    • Kurtz, T.G.1
  • 16
    • 0001218207 scopus 로고
    • Correlations in stochastic theories of chemical-reactions
    • Gardiner, C. W., McNeil, K. J., Walls, D. F., and Matheson, I. S. Correlations in stochastic theories of chemical-reactions. J. Stat. Phys. 14, 307-331 (1976).
    • (1976) J. Stat. Phys , vol.14 , pp. 307-331
    • Gardiner, C.W.1    McNeil, K.J.2    Walls, D.F.3    Matheson, I.S.4
  • 17
    • 33749842033 scopus 로고    scopus 로고
    • Deviant effects in molecular reaction pathways
    • DOI 10.1038/nbt1253, PII NBT1253
    • Samoilov, M. S. and Arkin, A. P. Deviant effects in molecular reaction pathways. Nature Biotechnology 24, 1235-1240, October (2006). (Pubitemid 44564768)
    • (2006) Nature Biotechnology , vol.24 , Issue.10 , pp. 1235-1240
    • Samoilov, M.S.1    Arkin, A.P.2
  • 19
    • 0033083733 scopus 로고    scopus 로고
    • It's a noisy business! genetic regulation at the nanomolar scale
    • February
    • McAdams, H. H. and Arkin, A. It's a noisy business! genetic regulation at the nanomolar scale. Trends Genet. 15, 65-69, February (1999).
    • (1999) Trends Genet , vol.15 , pp. 65-69
    • McAdams, H.H.1    Arkin, A.2
  • 20
    • 66649109136 scopus 로고    scopus 로고
    • Noise-induced breakdown of the Michaelis-Menten equation in steadystate conditions
    • Grima, R. Noise-induced breakdown of the Michaelis-Menten equation in steadystate conditions. Phys. Rev. Lett. 102, 218103 (2009).
    • (2009) Phys. Rev. Lett , vol.102 , pp. 218103
    • Grima, R.1
  • 21
    • 80051671001 scopus 로고    scopus 로고
    • Sustained oscillations for density dependent Markov processes
    • Baxendale, P. H. and Greenwood, P. E. Sustained oscillations for density dependent Markov processes. J. Math. Biol. 63, 433-457 (2011).
    • (2011) J. Math. Biol , vol.63 , pp. 433-457
    • Baxendale, P.H.1    Greenwood, P.E.2
  • 22
    • 79551508890 scopus 로고    scopus 로고
    • Noise-induced modulation of the relaxation kinetics around a non-equilibrium steady state of non-linear chemical reaction networks
    • Ramaswamy, R., Sbalzarini, I. F., and González-Segredo, N. Noise-induced modulation of the relaxation kinetics around a non-equilibrium steady state of non-linear chemical reaction networks. PLoS ONE 6, e16045 (2011).
    • (2011) PLoS ONE , vol.6
    • Ramaswamy, R.1    Sbalzarini, I.F.2    González-Segredo, N.3
  • 23
    • 0033533954 scopus 로고    scopus 로고
    • Investigating autocatalytic gene expression systems through mechanistic modeling
    • DOI 10.1006/jtbi.1999.1010
    • Carrier, T. and Keasling, J. Investigating autocatalytic gene expression systems through mechanistic modeling. J. Theor. Biol. 201, 25-36, November (1999). (Pubitemid 29531310)
    • (1999) Journal of Theoretical Biology , vol.201 , Issue.1 , pp. 25-36
    • Carrier, T.A.1    Keasling, J.D.2
  • 26
    • 54249117585 scopus 로고    scopus 로고
    • Adaptive response of a gene network to environmental changes by fitness-induced attractor selection
    • Kashiwagi, A., Urabe, I., Kaneko, K., and Yomo, T. Adaptive response of a gene network to environmental changes by fitness-induced attractor selection. PLoS ONE 1, e49 (2006).
    • (2006) PLoS ONE , vol.1
    • Kashiwagi, A.1    Urabe, I.2    Kaneko, K.3    Yomo, T.4
  • 27
    • 0036679175 scopus 로고    scopus 로고
    • Concentration fluctuations in a mesoscopic oscillating chemical reaction system
    • Qian, H., Saffarian, S., and Elson, E. L. Concentration fluctuations in a mesoscopic oscillating chemical reaction system. Proc. Natl. Acad. Sci. USA 99, 10376-10381 (2002).
    • (2002) Proc. Natl. Acad. Sci. USA , vol.99 , pp. 10376-10381
    • Qian, H.1    Saffarian, S.2    Elson, E.L.3
  • 28
    • 0034688220 scopus 로고    scopus 로고
    • Circadian clocks limited by noise
    • Barkai, N. and Leibler, S. Biological rhythms-circadian clocks limited by noise. Nature 403, 267-268 (2000). (Pubitemid 30062374)
    • (2000) Nature , vol.403 , Issue.6767 , pp. 267-268
    • Barkai, N.1    Leibler, S.2
  • 29
    • 77956247381 scopus 로고    scopus 로고
    • An effective rate equation approach to reaction kinetics in small volumes: Theory and application to biochemical reactions in nonequilibrium steady-state conditions
    • Grima, R. An effective rate equation approach to reaction kinetics in small volumes: Theory and application to biochemical reactions in nonequilibrium steady-state conditions. J. Chem. Phys. 133, 035101 (2010).
    • (2010) J. Chem. Phys , vol.133 , pp. 035101
    • Grima, R.1
  • 30
    • 36049024494 scopus 로고    scopus 로고
    • Effects of internal noise in mesoscopic chemical systems near Hopf bifurcation
    • Xiao, T., Ma, J., Hou, Z., and Xin, H. Effects of internal noise in mesoscopic chemical systems near Hopf bifurcation. New J. Phys. 9, 403 (2007).
    • (2007) New J. Phys , vol.9 , pp. 403
    • Xiao, T.1    Ma, J.2    Hou, Z.3    Xin, H.4
  • 31
    • 0000378839 scopus 로고
    • Irreversible circulation and orbital revolution-hard mode instability in far-from-equilibrium situation
    • Tomita, K., Ohta, T., and Tomita, H. Irreversible circulation and orbital revolution-hard mode instability in far-from-equilibrium situation. Prog. Theor. Phys. 52, 1744-1765 (1974).
    • (1974) Prog. Theor. Phys , vol.52 , pp. 1744-1765
    • Tomita, K.1    Ohta, T.2    Tomita, H.3
  • 32
    • 0012019260 scopus 로고
    • Dynamical correlations near instabilities in nonlinear chemical reaction systems
    • Grossmann, S. and Schranner, R. Dynamical correlations near instabilities in nonlinear chemical reaction systems. Z. Phys. B 30, 325-337 (1978).
    • (1978) Z. Phys. B , vol.30 , pp. 325-337
    • Grossmann, S.1    Schranner, R.2
  • 33
    • 0001285663 scopus 로고    scopus 로고
    • Fluctuations near limit cycles in chemical reaction systems
    • Vance, W. and Ross, J. Fluctuations near limit cycles in chemical reaction systems. J. Chem. Phys. 105, 479-487 (1996). (Pubitemid 126747419)
    • (1996) Journal of Chemical Physics , vol.105 , Issue.2 , pp. 479-487
    • Vance, W.1    Ross, J.2
  • 34
    • 0037113108 scopus 로고    scopus 로고
    • The correlation time of mesoscopic chemical clocks
    • DOI 10.1063/1.1513461
    • Gaspard, P. The correlation time of mesoscopic chemical clocks. J. Chem. Phys. 117, 8905-8916 (2002). (Pubitemid 35457596)
    • (2002) Journal of Chemical Physics , vol.117 , Issue.19 , pp. 8905-8916
    • Gaspard, P.1
  • 35
    • 44049109914 scopus 로고
    • A rigorous derivation of the chemical master equation
    • Gillespie, D. T. A rigorous derivation of the chemical master equation. Physica A 188, 404-425 (1992).
    • (1992) Physica A , vol.188 , pp. 404-425
    • Gillespie, D.T.1
  • 36
    • 33645429016 scopus 로고
    • Exact stochastic simulation of coupled chemical reactions
    • Gillespie, D. T. Exact stochastic simulation of coupled chemical reactions. J. Phys. Chem. 81, 2340-2361 (1977).
    • (1977) J. Phys. Chem , vol.81 , pp. 2340-2361
    • Gillespie, D.T.1
  • 38
    • 42749102580 scopus 로고    scopus 로고
    • Amplification of noise in a cascade chemical reaction
    • Shibata, T. Amplification of noise in a cascade chemical reaction. Phys. Rev. E 69, 056218 (2004).
    • (2004) Phys. Rev. e , vol.69 , pp. 056218
    • Shibata, T.1
  • 39
    • 0029011218 scopus 로고
    • The MAPK signaling cascade
    • Seger, R. and Krebs, E. The MAPK signaling cascade. The FASEB journal 9, 726 (1995).
    • (1995) The FASEB Journal , vol.9 , pp. 726
    • Seger, R.1    Krebs, E.2
  • 41
    • 0034019315 scopus 로고    scopus 로고
    • Negative feedback and ultrasensitivity can bring about oscillations in the mitogen-activated protein kinase cascades
    • DOI 10.1046/j.1432-1327.2000.01197.x
    • Kholodenko, B. N. Negative feedback and ultrasensitivity can bring about oscillations in the mitogen-activated protein kinase cascades. Eur. J. Biochem. 267, 1583-1588 (2000). (Pubitemid 30165509)
    • (2000) European Journal of Biochemistry , vol.267 , Issue.6 , pp. 1583-1588
    • Kholodenko, B.N.1
  • 42
    • 73149105740 scopus 로고    scopus 로고
    • Listening to the noise: Random fluctuations reveal gene network parameters
    • Munsky, B., Trinh, B., and Khammash, M. Listening to the noise: random fluctuations reveal gene network parameters. Mol. Sys. Biol. 5, 318 (2009).
    • (2009) Mol. Sys. Biol , vol.5 , pp. 318
    • Munsky, B.1    Trinh, B.2    Khammash, M.3
  • 44
    • 1542327697 scopus 로고    scopus 로고
    • Fluorescence correlation spectroscopy with high-order and dual-color correlation to probe nonequilibruim steady states
    • DOI 10.1073/pnas.0305962101
    • Qian, H. and Elson, E. L. Fluorescence correlation spectroscopy with high-order and dual-color correlation to probe nonequilibrium steady states. Proc. Natl. Acad. Sci. USA 101, 2828-2833 (2004). (Pubitemid 38327696)
    • (2004) Proceedings of the National Academy of Sciences of the United States of America , vol.101 , Issue.9 , pp. 2828-2833
    • Qian, H.1    Elson, E.L.2
  • 46
    • 0017030517 scopus 로고
    • A general method for numerically simulating the stochastic time evolution of coupled chemical reactions
    • Gillespie, D. T. A general method for numerically simulating the stochastic time evolution of coupled chemical reactions. J. Comput. Phys. 22, 403-434 (1976).
    • (1976) J. Comput. Phys , vol.22 , pp. 403-434
    • Gillespie, D.T.1
  • 47
    • 0003569092 scopus 로고
    • Princeton University Press
    • Holden, A. V. Chaos. Princeton University Press, (1986).
    • (1986) Chaos
    • Holden, A.V.1
  • 48
    • 84996394897 scopus 로고
    • Possibility of chaotic behaviour and multi-basins in forced glycolytic oscillations
    • Tomita, K. and Daido, H. Possibility of chaotic behaviour and multi-basins in forced glycolytic oscillations. Phys. Lett. A 79, 133-137 (1980).
    • (1980) Phys. Lett. A , vol.79 , pp. 133-137
    • Tomita, K.1    Daido, H.2
  • 49
    • 79960105112 scopus 로고    scopus 로고
    • Glycolytic oscillations and limits on robust efficiency
    • Chandra, F. A., Buzi, G., and Doyle, J. C. Glycolytic oscillations and limits on robust efficiency. Science 333, 187-192 (2011).
    • (2011) Science , vol.333 , pp. 187-192
    • Chandra, F.A.1    Buzi, G.2    Doyle, J.C.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.