메뉴 건너뛰기




Volumn 13, Issue 3, 2010, Pages 293-326

An averaging principle for combined interaction graphs connectivity and applications to genetic switches

Author keywords

interaction graph; Markov chains; ODE

Indexed keywords


EID: 77954613657     PISSN: 02195259     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219525910002669     Document Type: Conference Paper
Times cited : (4)

References (31)
  • 1
    • 29344436772 scopus 로고    scopus 로고
    • Amos M. (Ed.) SYSBIO Oxford UP
    • Amos, M. (Ed.), Cellular Computing, SYSBIO, Oxford UP, 2004.
    • (2004) Cellular Computing
  • 2
    • 0038241770 scopus 로고    scopus 로고
    • Development of genetic circuitry exhibiting toggle switch or oscillatory behavior in Escherichia Coli
    • Atkinson, M. A., et al., Development of genetic circuitry exhibiting toggle switch or oscillatory behavior in Escherichia Coli, Cell 113 (2003) 597-607.
    • (2003) Cell , vol.113 , pp. 597-607
    • Atkinson, M.A.1
  • 4
    • 34548095293 scopus 로고    scopus 로고
    • Introduction to hybrid systems
    • D. Hristu-Varsakelis and W. S. Levine (eds.), Boston: Birkháuser
    • Branicky, M. S., Introduction to hybrid systems, in D. Hristu-Varsakelis and W. S. Levine (eds.), Handbook of Networked and Embedded Control Systems (Boston: Birkháuser, 2005), pp. 91-116.
    • (2005) Handbook of Networked and Embedded Control Systems , pp. 91-116
    • Branicky, M.S.1
  • 5
    • 43849099574 scopus 로고    scopus 로고
    • Graph theory and qualitative analysis of reaction networks
    • Domijan, M. and Kirkilionis, M., Graph theory and qualitative analysis of reaction networks, Networks and Heterogeneous Media 3 (2008) 295-322.
    • (2008) Networks and Heterogeneous Media , vol.3 , pp. 295-322
    • Domijan, M.1    Kirkilionis, M.2
  • 6
    • 0034688173 scopus 로고    scopus 로고
    • A synthetic oscillatory network of transcriptional regulators
    • Elowitz, M. B. and Leibler, S., A synthetic oscillatory network of transcriptional regulators, Nature 403 (2000) 335-338.
    • (2000) Nature , vol.403 , pp. 335-338
    • Elowitz, M.B.1    Leibler, S.2
  • 7
    • 0034688174 scopus 로고    scopus 로고
    • Construction of a genetic toggle switch in Escherichia coli
    • Gardner, T. S., Cantor, C. R. and Collins, J. J., Construction of a genetic toggle switch in Escherichia coli, Nature 403 (2000) 339-342.
    • (2000) Nature , vol.403 , pp. 339-342
    • Gardner, T.S.1    Cantor, C.R.2    Collins, J.J.3
  • 11
    • 33645796471 scopus 로고    scopus 로고
    • Dynamical principles of two-component genetic oscillators
    • Guantes, R. and Poyatos, J. F., Dynamical principles of two-component genetic oscillators, PLoS Comput Biol. 2 (2006) e30.
    • (2006) PLoS Comput Biol. , vol.2
    • Guantes, R.1    Poyatos, J.F.2
  • 12
    • 0037079012 scopus 로고    scopus 로고
    • Engineered gene circuits
    • Hasty, J., McMillen, D. and Collins, J. J., Engineered gene circuits, Nature 420 (2002) 224-230.
    • (2002) Nature , vol.420 , pp. 224-230
    • Hasty, J.1    McMillen, D.2    Collins, J.J.3
  • 15
    • 77954571053 scopus 로고    scopus 로고
    • Multi-Scale Genetic Dynamic Modelling I: An Algorithm to Compute Generators
    • WMI Preprint 4/2010, University of Warwick, 2010. go.warwick.ac.uk/maths
    • Kirkilionis, M., Janus, U. and Sbano, L., Multi-Scale Genetic Dynamic Modelling I: An Algorithm to Compute Generators, An Algorithmic Markov Chain Based Approach. WMI Preprint 4/2010, University of Warwick, 2010. go.warwick.ac.uk/maths.
    • An Algorithmic Markov Chain Based Approach
    • Kirkilionis, M.1    Janus, U.2    Sbano, L.3
  • 18
    • 77950355741 scopus 로고    scopus 로고
    • Exploration of cellular reaction systems
    • Kirkilionis, M., Exploration of cellular reaction systems, Briefings in Bioinformatics 11 (2010) 153-178.
    • (2010) Briefings in Bioinformatics , vol.11 , pp. 153-178
    • Kirkilionis, M.1
  • 20
    • 0142027814 scopus 로고    scopus 로고
    • Structure and function of the feed-forward loop network motif
    • Mangan, S. and Alon, U., Structure and function of the feed-forward loop network motif, PNAS 100 (2003) 11980-11985.
    • (2003) PNAS , vol.100 , pp. 11980-11985
    • Mangan, S.1    Alon, U.2
  • 23
    • 34547246979 scopus 로고    scopus 로고
    • Precision of genetic oscillators and clocks
    • Morelli, L. G. and Jülicher, F., Precision of genetic oscillators and clocks, Phys. Rev. Lett. 98 (2007) 228101.
    • (2007) Phys. Rev. Lett. , vol.98 , pp. 228101
    • Morelli, L.G.1    Jülicher, F.2
  • 24
    • 0038585922 scopus 로고
    • Differential equations with a small parameter and the central. Limit theorem for functions defined on a finite Markov chain
    • Pinsky, M., Differential equations with a small parameter and the central. Limit theorem for functions defined on a finite Markov chain, Z. Wahrscheinlichkeitstheorie und verw. Geb. 9 (1968) 101-111.
    • (1968) Z. Wahrscheinlichkeitstheorie und Verw. Geb. , vol.9 , pp. 101-111
    • Pinsky, M.1
  • 25
    • 77954586200 scopus 로고    scopus 로고
    • Molecular Systems with Infinite and Finite Degrees of Freedom
    • WMI Preprint Available at: arXiv:0802.4259v2 [q-bio.BM] 2008
    • Sbano, L. and Kirkilionis, M., Molecular Systems with Infinite and Finite Degrees of Freedom. Part I: Multi-Scale Analysis. WMI Preprint 5/2007. Available at: arXiv:0802.4259v2 [q-bio.BM], 2008.
    • (2007) Part I: Multi-Scale Analysis , vol.5
    • Sbano, L.1    Kirkilionis, M.2
  • 26
    • 84864532470 scopus 로고    scopus 로고
    • Molecular systems with infinite and finite degrees of Freedom
    • WMI Preprint Available at: arXiv:0802.4279v1 [q-bio.MN] 2008
    • Sbano, L. and Kirkilionis, M., Molecular Systems with Infinite and Finite Degrees of Freedom. Part II: Deterministic Dynamics and Examples. WMI Preprint 7/2007. Available at: arXiv:0802.4279v1 [q-bio.MN], 2008.
    • (2007) Part II: Deterministic Dynamics and Examples , vol.7
    • Sbano, L.1    Kirkilionis, M.2
  • 27
    • 43849094202 scopus 로고    scopus 로고
    • Multiscale analysis of reaction networks
    • Sbano, L. and Kirkilionis, M., Multiscale analysis of reaction networks, Theory Biosciences 127 (2008) 107-123.
    • (2008) Theory Biosciences , vol.127 , pp. 107-123
    • Sbano, L.1    Kirkilionis, M.2
  • 30
    • 0037197850 scopus 로고    scopus 로고
    • Mechanisms of noiseresistance in genetic oscillators
    • Vilar, J. M. G., Kueh, H. Y., Barkai, N. and Leibler, S., Mechanisms of noiseresistance in genetic oscillators, PNAS 9 (2002) 5988-5992.
    • (2002) PNAS , vol.9 , pp. 5988-5992
    • Vilar, J.M.G.1    Kueh, H.Y.2    Barkai, N.3    Leibler, S.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.