메뉴 건너뛰기




Volumn 40, Issue , 2010, Pages 85-101

Modeling biological systems with delays in Bio-PEPA

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; BIOINFORMATICS; DIFFERENTIAL EQUATIONS; PATHOLOGY; RANDOM PROCESSES; SEMANTICS; STOCHASTIC MODELS; STOCHASTIC SYSTEMS;

EID: 84983168678     PISSN: 20752180     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.4204/EPTCS.40.7     Document Type: Conference Paper
Times cited : (6)

References (29)
  • 5
    • 33749336242 scopus 로고    scopus 로고
    • Oscillatory regulation of hes1: Discrete stochastic delay modelling and simulation
    • M. Barrio, K. Burrage, A. Leier and T. Tian (2006) : Oscillatory Regulation of Hes1: Discrete Stochastic Delay Modelling and Simulation. PLoS Computational Biology, 2(9).
    • (2006) PLoS Computational Biology , vol.2 , Issue.9
    • Barrio, M.1    Burrage, K.2    Leier, A.3    Tian, T.4
  • 6
    • 0036986139 scopus 로고    scopus 로고
    • Permanence of an SIR Epidemic Model with Distributed Time Delays
    • E. Beretta, T. Hara, W. Ma and Y. Takeuchi (2002): Permanence of an SIR Epidemic Model with Distributed Time Delays. Tohoku Mathematical Journal 54(2), 581-591.
    • (2002) Tohoku Mathematical Journal , vol.54 , Issue.2 , pp. 581-591
    • Beretta, E.1    Hara, T.2    Ma, W.3    Takeuchi, Y.4
  • 7
    • 85035760404 scopus 로고    scopus 로고
    • Bio-PEPA web site
    • Bio-PEPA web site. http://biopepa.org/
  • 8
    • 26844581913 scopus 로고    scopus 로고
    • Delay-induced stochastic oscillations in gene regulation
    • D. Bratsun, D. Volfson, L.S. Tsimring and J. Hasty (2005): Delay-induced Stochastic Oscillations in Gene Regulation. PNAS 102(41), 14593-14598.
    • (2005) PNAS , vol.102 , Issue.41 , pp. 14593-14598
    • Bratsun, D.1    Volfson, D.2    Tsimring, L.S.3    Hasty, J.4
  • 9
    • 0037036314 scopus 로고    scopus 로고
    • The theory of interactive generalized semi-markov processes
    • M. Bravetti and R. Gorrieri (2002): The theory of interactive generalized semi-Markov processes. Theoretical Computer Science 282 (1), 5-32.
    • (2002) Theoretical Computer Science , vol.282 , Issue.1 , pp. 5-32
    • Bravetti, M.1    Gorrieri, R.2
  • 10
    • 65549101937 scopus 로고    scopus 로고
    • Bio-PEPA: A framework for the modelling and analysis of biochemical networks
    • F. Ciocchetta and J. Hillston (2009): Bio-PEPA: a Framework for the Modelling and Analysis of Biochemical Networks. Theoretical Computer Science 410 (33-34), 3065-3084.
    • (2009) Theoretical Computer Science , vol.410 , Issue.33-34 , pp. 3065-3084
    • Ciocchetta, F.1    Hillston, J.2
  • 11
    • 45749134288 scopus 로고    scopus 로고
    • Calculi for biological systems
    • Chapter in: M.Bernardo, P.Degano and G.Zavattaro (Eds.) Springer LNCS 5016
    • F. Ciocchetta and J. Hillston (2008): Calculi for Biological Systems. Chapter in: M.Bernardo, P.Degano and G.Zavattaro (Eds.): Formal Methods for Computational Systems Biology (SFM 2008), Springer LNCS 5016, 265-312.
    • (2008) Formal Methods for Computational Systems Biology (SFM 2008) , pp. 265-312
    • Ciocchetta, F.1    Hillston, J.2
  • 12
    • 0034108662 scopus 로고    scopus 로고
    • A delay-differential equation model of HIV infection of CD4+ T-cells
    • R.V. Culshaw and S. Ruan (2000) : A Delay-differential Equation Model of HIV Infection of CD4+ T-cells. Mathematical Biosciences 165, 27-39.
    • (2000) Mathematical Biosciences , vol.165 , pp. 27-39
    • Culshaw, R.V.1    Ruan, S.2
  • 16
    • 33645429016 scopus 로고
    • Exact stochastic simulation of coupled chemical reactions
    • D. Gillespie (1977): Exact Stochastic Simulation of Coupled Chemical Reactions. Journal of Physical Chemistry 81, 2340.
    • (1977) Journal of Physical Chemistry , vol.81 , pp. 2340
    • Gillespie, D.1
  • 21
    • 77950327394 scopus 로고    scopus 로고
    • A language for biochemical systems: Design and formal specification
    • M. Pedersen and G. Plotkin (2010): A Language for Biochemical Systems: Design and Formal Specification. Transactions on Computational Systems Biology XII, 5945(3), 77-145.
    • (2010) Transactions on Computational Systems Biology XII , vol.5945 , Issue.3 , pp. 77-145
    • Pedersen, M.1    Plotkin, G.2
  • 23
    • 84974715948 scopus 로고
    • Stochastic π-Calculus
    • C. Priami (1995): Stochastic π-Calculus. The Computer Journal 38 (7), 578-589.
    • (1995) The Computer Journal , vol.38 , Issue.7 , pp. 578-589
    • Priami, C.1
  • 24
    • 0035888407 scopus 로고    scopus 로고
    • Application of a stochastic name-passing calculus to representation and simulation of molecular processes
    • C. Priami, A. Regev, E. Shapiro andW. Silverman (2001): Application of a stochastic name-passing calculus to representation and simulation of molecular processes. Information Processing Letters, 80:25-31.
    • (2001) Information Processing Letters , vol.80 , pp. 25-31
    • Priami, C.1    Regev, A.2    Shapiro, E.3    Silverman, W.4
  • 26
    • 0035235039 scopus 로고    scopus 로고
    • Representation and simulation of biochemical processes using the pi-calculus process algebra
    • World Scientic Press
    • A. Regev, W. Silverman and E. Shapiro (2001): Representation and simulation of biochemical processes using the pi-calculus process algebra. In Pacific Symposium on Biocomputing 6, 459-470. World Scientic Press.
    • (2001) Pacific Symposium on Biocomputing , vol.6 , pp. 459-470
    • Regev, A.1    Silverman, W.2    Shapiro, E.3
  • 27
    • 85035801126 scopus 로고    scopus 로고
    • Prism web site
    • Prism web site. http://www.prismmodelchecker.org/
  • 28
  • 29
    • 41949125685 scopus 로고    scopus 로고
    • Global Stability of an SIR EpidemicModel with Constant Infectious Period
    • F. Zhanga, Z. Lia and F. Zhangc (2008): Global Stability of an SIR EpidemicModel with Constant Infectious Period. Applied Mathematics and Computation 199(1), 285-291.
    • (2008) Applied Mathematics and Computation , vol.199 , Issue.1 , pp. 285-291
    • Zhanga, F.1    Lia, Z.2    Zhangc, F.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.