메뉴 건너뛰기




Volumn 2009, Issue , 2009, Pages

The impact of time delays on the robustness of biological oscillators and the effect of bifurcations on the inverse problem

Author keywords

[No Author keywords available]

Indexed keywords


EID: 59849105764     PISSN: 16874145     EISSN: 16874153     Source Type: Journal    
DOI: 10.1155/2009/327503     Document Type: Article
Times cited : (20)

References (54)
  • 1
    • 0036864468 scopus 로고    scopus 로고
    • Roles of positive and negative feedback in biological systems
    • Cinquin O., Demongeot J., Roles of positive and negative feedback in biological systems Comptes Rendus Biologies 2002 325 11 1085 1095
    • (2002) Comptes Rendus Biologies , vol.325 , Issue.11 , pp. 1085-1095
    • Cinquin, O.1    Demongeot, J.2
  • 2
    • 0002194865 scopus 로고    scopus 로고
    • Positive and negative circuits in dynamical systems
    • Gouz J.-L., Positive and negative circuits in dynamical systems Journal of Biological System 1998 6 21 11 15
    • (1998) Journal of Biological System , vol.6 , Issue.21 , pp. 11-15
    • Gouz, J.-L.1
  • 3
    • 0001923376 scopus 로고    scopus 로고
    • Necessary conditions for multistationarity and stable periodicity
    • Snoussi E. H., Necessary conditions for multistationarity and stable periodicity Journal of Biological System 1998 6 1 3 9
    • (1998) Journal of Biological System , vol.6 , Issue.1 , pp. 3-9
    • Snoussi, E.H.1
  • 5
    • 34548327206 scopus 로고    scopus 로고
    • Dynamical roles of biological regulatory circuits
    • Thieffry D., Dynamical roles of biological regulatory circuits Briefings in Bioinformatics 2007 8 4 220 225
    • (2007) Briefings in Bioinformatics , vol.8 , Issue.4 , pp. 220-225
    • Thieffry, D.1
  • 7
    • 0013823048 scopus 로고
    • Oscillatory behavior in enzymatic control processes
    • Goodwin B. C., Oscillatory behavior in enzymatic control processes Advances in Enzyme Regulation 1965 3 425 438
    • (1965) Advances in Enzyme Regulation , vol.3 , pp. 425-438
    • Goodwin, B.C.1
  • 10
    • 34548729774 scopus 로고    scopus 로고
    • A new necessary condition on interaction graphs for multistationarity
    • Kaufman M., Soul C., Thomas R., A new necessary condition on interaction graphs for multistationarity Journal of Theoretical Biology 2007 248 4 675 685
    • (2007) Journal of Theoretical Biology , vol.248 , Issue.4 , pp. 675-685
    • Kaufman, M.1    Soul, C.2    Thomas, R.3
  • 11
    • 34547836607 scopus 로고    scopus 로고
    • Steady state and (bi-) stability evaluation of simple protease signalling networks
    • Eiing T., Waldherr S., Allgwer F., Scheurich P., Bullinger E., Steady state and (bi-) stability evaluation of simple protease signalling networks Biosystems 2007 90 3 591 601
    • (2007) Biosystems , vol.90 , Issue.3 , pp. 591-601
    • Eiing, T.1    Waldherr, S.2    Allgwer, F.3    Scheurich, P.4    Bullinger, E.5
  • 12
    • 0037079015 scopus 로고    scopus 로고
    • Computational approaches to cellular rhythms
    • Goldbeter A., Computational approaches to cellular rhythms Nature 2002 420 6912 238 245
    • (2002) Nature , vol.420 , Issue.6912 , pp. 238-245
    • Goldbeter, A.1
  • 13
    • 0034688220 scopus 로고    scopus 로고
    • Circadian clocks limited by noise
    • Barkai N., Leibler S., Circadian clocks limited by noise Nature 2000 403 6767 267 268
    • (2000) Nature , vol.403 , Issue.6767 , pp. 267-268
    • Barkai, N.1    Leibler, S.2
  • 14
    • 0036500993 scopus 로고    scopus 로고
    • Systems biology: A brief overview
    • Kitano H., Systems biology: a brief overview Science 2002 295 5560 1662 1664
    • (2002) Science , vol.295 , Issue.5560 , pp. 1662-1664
    • Kitano, H.1
  • 16
    • 28544450485 scopus 로고    scopus 로고
    • Design principles of a bacterial signalling network
    • Kollmann M., Lavdok L., Bartholoma K., Timmer J., Sourjik V., Design principles of a bacterial signalling network Nature 2005 438 7067 504 507
    • (2005) Nature , vol.438 , Issue.7067 , pp. 504-507
    • Kollmann, M.1    Lavdok, L.2    Bartholoma, K.3    Timmer, J.4    Sourjik, V.5
  • 17
    • 33846106739 scopus 로고    scopus 로고
    • Robustness and modular design of the Drosophila segment polarity network
    • Ma W., Lai L., Ouyang Q., Tang C., Robustness and modular design of the Drosophila segment polarity network Molecular Systems Biology 2006 2, article 70 1 9
    • (2006) Molecular Systems Biology , vol.270 , pp. 1-9
    • Ma, W.1    Lai, L.2    Ouyang, Q.3    Tang, C.4
  • 18
    • 38949194331 scopus 로고    scopus 로고
    • Noise propagation and signaling sensitivity in biological networks: A role for positive feedback
    • Hornung G., Barkai N., Noise propagation and signaling sensitivity in biological networks: a role for positive feedback PLoS Computational Biology 2008 4 1 e8
    • (2008) PLoS Computational Biology , vol.4 , Issue.1 , pp. 8
    • Hornung, G.1    Barkai, N.2
  • 20
    • 41349112310 scopus 로고    scopus 로고
    • Quantitative analysis of robustness and fragility in biological networks based on feedback dynamics
    • Kwon Y.-K., Cho K.-H., Quantitative analysis of robustness and fragility in biological networks based on feedback dynamics Bioinformatics 2008 24 7 987 994
    • (2008) Bioinformatics , vol.24 , Issue.7 , pp. 987-994
    • Kwon, Y.-K.1    Cho, K.-H.2
  • 21
    • 13744253986 scopus 로고    scopus 로고
    • Modelling periodic oscillation of biological systems with multiple timescale networks
    • Wang R., Zhou T., Jing Z., Chen L., Modelling periodic oscillation of biological systems with multiple timescale networks IEE Proceedings Systems Biology 2004 1 1 71 84
    • (2004) IEE Proceedings Systems Biology , vol.1 , Issue.1 , pp. 71-84
    • Wang, R.1    Zhou, T.2    Jing, Z.3    Chen, L.4
  • 22
    • 29444455715 scopus 로고    scopus 로고
    • Cell-cycle control of gene expression in budding and fission yeast
    • Bahler J., Cell-cycle control of gene expression in budding and fission yeast Annual Review of Genetics 2005 39 69 94
    • (2005) Annual Review of Genetics , vol.39 , pp. 69-94
    • Bahler, J.1
  • 24
    • 34548825690 scopus 로고    scopus 로고
    • Towards a theory of biological robustness
    • Kitano H., Towards a theory of biological robustness Molecular Systems Biology 2007 3, article 137
    • (2007) Molecular Systems Biology , vol.3137
    • Kitano, H.1
  • 26
    • 0036803078 scopus 로고    scopus 로고
    • A model of periodic oscillation for genetic regulatory systems
    • Chen L., Aihara K., A model of periodic oscillation for genetic regulatory systems IEEE Transactions on Circuits and Systems I 2002 49 10 1429 1436
    • (2002) IEEE Transactions on Circuits and Systems i , vol.49 , Issue.10 , pp. 1429-1436
    • Chen, L.1    Aihara, K.2
  • 27
    • 49449105833 scopus 로고    scopus 로고
    • The effect of time scale differences and time-delays on the structural stability of oscillations in a two-gene network
    • Radde N., The effect of time scale differences and time-delays on the structural stability of oscillations in a two-gene network Advances in Complex Systems 2008 11 3 471 483
    • (2008) Advances in Complex Systems , vol.11 , Issue.3 , pp. 471-483
    • Radde, N.1
  • 28
    • 0036489542 scopus 로고    scopus 로고
    • Dynamics of delay-differential equations modelling immunology of tumor growth
    • Buria N., Todorovia D., Dynamics of delay-differential equations modelling immunology of tumor growth Chaos, Solitons & Fractals 2002 13 4 645 655
    • (2002) Chaos, Solitons & Fractals , vol.13 , Issue.4 , pp. 645-655
    • Buria, N.1    Todorovia, D.2
  • 29
    • 0025173683 scopus 로고
    • Synchrony of bone marrow proliferation and maturation as the origin of cyclic haemopoiesis
    • Schmitz S., Loeffler M., Jones J. B., Lange R. D., Wichmann H. E., Synchrony of bone marrow proliferation and maturation as the origin of cyclic haemopoiesis Cell and Tissue Kinetics 1990 23 5 425 442
    • (1990) Cell and Tissue Kinetics , vol.23 , Issue.5 , pp. 425-442
    • Schmitz, S.1    Loeffler, M.2    Jones, J.B.3    Lange, R.D.4    Wichmann, H.E.5
  • 30
    • 33947230522 scopus 로고    scopus 로고
    • Functioning and robustness of a bacterial circadian clock
    • Clodong S., Dahring U., Kronk L., Functioning and robustness of a bacterial circadian clock Molecular Systems Biology 2007 3, article 90 1 9
    • (2007) Molecular Systems Biology , vol.390 , pp. 1-9
    • Clodong, S.1    Dahring, U.2    Kronk, L.3
  • 32
    • 29544448913 scopus 로고    scopus 로고
    • Extension of a genetic network model by iterative experimentation and mathematical analysis
    • Locke J. C., Southern M. M., Kozma-Bognar L., Extension of a genetic network model by iterative experimentation and mathematical analysis Molecular Systems Biology 2005 1, article 2005.0013 1 9
    • (2005) Molecular Systems Biology , pp. 1-9
    • Locke, J.C.1    Southern, M.M.2    Kozma-Bognar, L.3
  • 33
    • 0032798406 scopus 로고    scopus 로고
    • Alternating oscillations and chaos in a model of two coupled biochemical oscillators driving successive phases of the cell cycle
    • Romond P.-C., Rustici M., Gonze D., Goldbeter A., Alternating oscillations and chaos in a model of two coupled biochemical oscillators driving successive phases of the cell cycle Annals of the New York Academy of Sciences 1999 879 180 193
    • (1999) Annals of the New York Academy of Sciences , vol.879 , pp. 180-193
    • Romond, P.-C.1    Rustici, M.2    Gonze, D.3    Goldbeter, A.4
  • 34
    • 1842788016 scopus 로고    scopus 로고
    • Multiple feedback loops are key to a robust dynamic performance of tryptophan regulation in Escherichia coli
    • Venkatesh K. V., Bhartiya S., Ruhela A., Multiple feedback loops are key to a robust dynamic performance of tryptophan regulation in Escherichia coli FEBS Letters 2004 563 1 234 240
    • (2004) FEBS Letters , vol.563 , Issue.1 , pp. 234-240
    • Venkatesh, K.V.1    Bhartiya, S.2    Ruhela, A.3
  • 37
    • 41849104688 scopus 로고    scopus 로고
    • Hybrid optimization method with general switching strategy for parameter estimation
    • Balsa-Canto E., Peifer M., Banga J. R., Timmer J., Fleck C., Hybrid optimization method with general switching strategy for parameter estimation BMC Systems Biology 2008 2, article 26 1 9
    • (2008) BMC Systems Biology , vol.226 , pp. 1-9
    • Balsa-Canto, E.1    Peifer, M.2    Banga, J.R.3    Timmer, J.4    Fleck, C.5
  • 38
    • 33947641481 scopus 로고    scopus 로고
    • Parameter estimation in ordinary differential equations for biochemical processes using the method of multiple shooting
    • Peifer M., Timmer J., Parameter estimation in ordinary differential equations for biochemical processes using the method of multiple shooting IET Systems Biology 2007 1 2 78 88
    • (2007) IET Systems Biology , vol.1 , Issue.2 , pp. 78-88
    • Peifer, M.1    Timmer, J.2
  • 41
    • 0001176145 scopus 로고
    • Systems of differential equations that are competitive or cooperative II: Convergence almost everywhere
    • Hirsch M. W., Systems of differential equations that are competitive or cooperative II: convergence almost everywhere SIAM Journal on Mathematical Analysis 1985 16 3 423 439
    • (1985) SIAM Journal on Mathematical Analysis , vol.16 , Issue.3 , pp. 423-439
    • Hirsch, M.W.1
  • 42
    • 0023967009 scopus 로고
    • Systems of ordinary differential equations which generate an order preserving flow. A survey of results
    • Smith H. L., Systems of ordinary differential equations which generate an order preserving flow. A survey of results SIAM Review 1988 30 1 87 113
    • (1988) SIAM Review , vol.30 , Issue.1 , pp. 87-113
    • Smith, H.L.1
  • 43
    • 32544450571 scopus 로고    scopus 로고
    • Linear systems approach to analysis of complex dynamic behaviours in biochemical networks
    • Schmidt H., Jacobsen E. W., Linear systems approach to analysis of complex dynamic behaviours in biochemical networks IEE Proceedings Systems Biology 2004 1 1 149 158
    • (2004) IEE Proceedings Systems Biology , vol.1 , Issue.1 , pp. 149-158
    • Schmidt, H.1    Jacobsen, E.W.2
  • 50
    • 0042868726 scopus 로고    scopus 로고
    • New York, NY, USA Springer Interdisciplinary Applied Mathematics
    • Murray J. D., Mathematical Biology: An Introduction 2002 17 New York, NY, USA Springer Interdisciplinary Applied Mathematics
    • (2002) Mathematical Biology: An Introduction , vol.17
    • Murray, J.D.1
  • 52
    • 0030102885 scopus 로고    scopus 로고
    • The Poincara-Bendixson theorem for monotone cyclic feedback systems with delay
    • Mallet-Paret J., Sell G. R., The Poincara-Bendixson theorem for monotone cyclic feedback systems with delay Journal of Differential Equations 1996 125 2 441 489
    • (1996) Journal of Differential Equations , vol.125 , Issue.2 , pp. 441-489
    • Mallet-Paret, J.1    Sell, G.R.2
  • 53
    • 0017878116 scopus 로고
    • Periodic metabolic systems: Oscillations in multiple-loop negative feedback biochemical control networks
    • Mees A. I., Rapp P. E., Periodic metabolic systems: oscillations in multiple-loop negative feedback biochemical control networks Journal of Mathematical Biology 1978 5 2 99 114
    • (1978) Journal of Mathematical Biology , vol.5 , Issue.2 , pp. 99-114
    • Mees, A.I.1    Rapp, P.E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.