메뉴 건너뛰기




Volumn 464, Issue 2096, 2008, Pages 2219-2228

Network of interacting synthetic molecules in steady state

Author keywords

Chemical reactions; Mathematical chemistry; Molecular modelling; Steady state solutions

Indexed keywords

ADDITION REACTIONS; EQUATIONS OF STATE; LAWS AND LEGISLATION; POISSON DISTRIBUTION; PROBABILITY DISTRIBUTIONS; RATE CONSTANTS; REACTION KINETICS; REACTION RATES;

EID: 46249098575     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2008.0001     Document Type: Conference Paper
Times cited : (26)

References (21)
  • 1
    • 33645754134 scopus 로고
    • The general catalytic queue process
    • ed. J. Garland, pp, Madison, WI: University of Wisconsin Press
    • Bartholomay, A. F. 1964 The general catalytic queue process. In Stochastic models in medicine and biology (ed. J. Garland), pp. 101-142. Madison, WI: University of Wisconsin Press.
    • (1964) Stochastic models in medicine and biology , pp. 101-142
    • Bartholomay, A.F.1
  • 3
    • 0242574987 scopus 로고    scopus 로고
    • Investigations into the analysis and modelling of the TNF-α-mediated NF-κ-B signaling pathway
    • doi:10.1101/gr.1195703
    • Cho, K.-H., Chin, S.-Y., Lee, H.-W. & Wolkenhauer, O. 2003 Investigations into the analysis and modelling of the TNF-α-mediated NF-κ-B signaling pathway. Genome Res. 13, 2413-2422. (doi:10.1101/gr.1195703)
    • (2003) Genome Res , vol.13 , pp. 2413-2422
    • Cho, K.-H.1    Chin, S.-Y.2    Lee, H.-W.3    Wolkenhauer, O.4
  • 4
    • 46249118959 scopus 로고    scopus 로고
    • Stochastic chemical kinetics with energy parameters
    • ed. M. Drmota, pp, Basel, Switzerland: Birkhauser Verlag
    • Fayolle, G., Malyshev, V. & Pirogov S. 2004 Stochastic chemical kinetics with energy parameters. In Trends in mathematics (ed. M. Drmota), pp. 517-529. Basel, Switzerland: Birkhauser Verlag.
    • (2004) Trends in mathematics , pp. 517-529
    • Fayolle, G.1    Malyshev, V.2    Pirogov, S.3
  • 6
    • 0000140889 scopus 로고
    • Queueing networks with negative and positive customers
    • doi:10.2307/3214499
    • Gelenbe, E. 1991 Queueing networks with negative and positive customers. J. Appl. Prob. 28, 656-663. (doi:10.2307/3214499)
    • (1991) J. Appl. Prob , vol.28 , pp. 656-663
    • Gelenbe, E.1
  • 7
    • 21344498249 scopus 로고
    • G-networks with triggered customer movement
    • doi:10.2307/3214781
    • Gelenbe, E. 1993 G-networks with triggered customer movement. J. Appl. Prob. 30, 742-748. (doi:10.2307/3214781)
    • (1993) J. Appl. Prob , vol.30 , pp. 742-748
    • Gelenbe, E.1
  • 8
    • 34548854836 scopus 로고    scopus 로고
    • Steady-state solution of probabilistic gene regulatory networks
    • doi:10.1103/ PhysRevE.76.031903
    • Gelenbe, E. 2007a Steady-state solution of probabilistic gene regulatory networks. Phys. Rev. E 76, 031903. (doi:10.1103/ PhysRevE.76.031903)
    • (2007) Phys. Rev. E , vol.76 , pp. 031903
    • Gelenbe, E.1
  • 9
    • 36749023984 scopus 로고    scopus 로고
    • Dealing with software viruses: A biological paradigm
    • Gelenbe, E. 2007b Dealing with software viruses: a biological paradigm. Information security tech. report 12, pp. 242-250.
    • (2007) Information security tech. report , vol.12 , pp. 242-250
    • Gelenbe, E.1
  • 10
    • 1642334040 scopus 로고    scopus 로고
    • G-networks with resets
    • doi:10.1016/S0166-5316(02)00127- X
    • Gelenbe, E. & Fourneau, J. M. 2002 G-networks with resets. Perform. Evaluation 49, 179-192. (doi:10.1016/S0166-5316(02)00127- X)
    • (2002) Perform. Evaluation , vol.49 , pp. 179-192
    • Gelenbe, E.1    Fourneau, J.M.2
  • 12
    • 0017030517 scopus 로고
    • General method for numerically simulating the stochastic time evolution of coupled chemical reactions
    • doi:10.1016/0021-9991(76)90041-3
    • Gillespie, D. T. 1976 General method for numerically simulating the stochastic time evolution of coupled chemical reactions. J. Comput. Phys. 22, 403-434. (doi:10.1016/0021-9991(76)90041-3)
    • (1976) J. Comput. Phys , vol.22 , pp. 403-434
    • Gillespie, D.T.1
  • 13
    • 44049109914 scopus 로고
    • A rigorous derivation of the chemical master equation
    • doi:10.1016/0378-4371(92)90283- V
    • Gillespie, D. T. 1992 A rigorous derivation of the chemical master equation. Physica A 188, 404-425. (doi:10.1016/0378-4371(92)90283- V)
    • (1992) Physica A , vol.188 , pp. 404-425
    • Gillespie, D.T.1
  • 14
    • 0035933994 scopus 로고    scopus 로고
    • Approximate accelerated stochastic simulation of chemically reacting system
    • doi:10.1063/1.1378322
    • Gillespie, D. T. 2001 Approximate accelerated stochastic simulation of chemically reacting system. J. Chem. Phys. 115, 1716-1733. (doi:10.1063/1.1378322)
    • (2001) J. Chem. Phys , vol.115 , pp. 1716-1733
    • Gillespie, D.T.1
  • 15
    • 33845629747 scopus 로고    scopus 로고
    • Solving the chemical master equation for monomolecular reaction systems analytically
    • doi:10.1007/s00285-006-0034-x
    • Jahnke, T. & Huisinga, W. 2007 Solving the chemical master equation for monomolecular reaction systems analytically. J. Math Biol. 54, 1-26. (doi:10.1007/s00285-006-0034-x)
    • (2007) J. Math Biol , vol.54 , pp. 1-26
    • Jahnke, T.1    Huisinga, W.2
  • 16
    • 0031029852 scopus 로고    scopus 로고
    • Stochastic mechanisms in gene expression
    • doi:10.1073/pnas.94.3.814
    • McAdams, H. & Arkin, A. 1997 Stochastic mechanisms in gene expression. Proc. Natl Acad. Sci. USA 94 , 814-819. (doi:10.1073/pnas.94.3.814)
    • (1997) Proc. Natl Acad. Sci. USA , vol.94 , pp. 814-819
    • McAdams, H.1    Arkin, A.2
  • 18
    • 0037078982 scopus 로고    scopus 로고
    • Control, exploitation and tolerance of intracellular noise
    • doi:10.1038/nature01258
    • Rao, C., Wolf, D. & Arkin, A. 2002 Control, exploitation and tolerance of intracellular noise. Nature 420, 231-237. (doi:10.1038/nature01258)
    • (2002) Nature , vol.420 , pp. 231-237
    • Rao, C.1    Wolf, D.2    Arkin, A.3
  • 19
    • 0031582628 scopus 로고    scopus 로고
    • Closed form solution for time-dependent enzyme kinetics
    • doi:10.1006/jtbi.1997.0425
    • Schnell, S. & Mendoza, C. 1997 Closed form solution for time-dependent enzyme kinetics. J. Theor. Biol. 187, 207-212. (doi:10.1006/jtbi.1997.0425)
    • (1997) J. Theor. Biol , vol.187 , pp. 207-212
    • Schnell, S.1    Mendoza, C.2
  • 21
    • 4544321024 scopus 로고    scopus 로고
    • Modelling and simulation of intra-cellular dynamics: Choosing an appropriate framework
    • doi:10.1109/TNB.2004.833694
    • Wolkenhauer, O., Ullah, M., Kolch, W. & Cho, K.-H. 2004 Modelling and simulation of intra-cellular dynamics: choosing an appropriate framework. IEEE Trans. NanoBioSci. 3, 200-207. (doi:10.1109/TNB.2004.833694)
    • (2004) IEEE Trans. NanoBioSci , vol.3 , pp. 200-207
    • Wolkenhauer, O.1    Ullah, M.2    Kolch, W.3    Cho, K.-H.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.