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Volumn 38, Issue 4, 2010, Pages 2242-2281

Stochastic kinetic models: Dynamic independence, modularity and graphs

Author keywords

Counting and point processes; Dynamic and local independence; Graphical decomposition; Kinetic independence graph; Reaction networks; Stochastic kinetic model; Systems biology

Indexed keywords


EID: 77955158102     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/09-AOS779     Document Type: Article
Times cited : (13)

References (30)
  • 1
    • 33744775760 scopus 로고    scopus 로고
    • Asymptotic analysis of multiscale approximations to reaction networks
    • MR2288709
    • BALL, K., KURTZ, T. G., POPOVIC, L. and REMPALA, G. (2006). Asymptotic analysis of multiscale approximations to reaction networks. Ann. Appl. Probab. 16 1925-1961. MR2288709
    • (2006) Ann. Appl. Probab , vol.16 , pp. 1925-1961
    • Ball, K.1    Kurtz, T.G.2    Popovic, L.3    Rempala, G.4
  • 5
    • 33847373658 scopus 로고    scopus 로고
    • Graphical models for composable finite Markov processes
    • MR2325249
    • DIDELEZ, V. (2007). Graphical models for composable finite Markov processes. Scand. J. Statist. 34 169-185. MR2325249
    • (2007) Scand. J. Statist , vol.34 , pp. 169-185
    • Didelez, V.1
  • 6
    • 37849044185 scopus 로고    scopus 로고
    • Graphical models for marked point processes based on local independence
    • MR2412641
    • DIDELEZ, V. (2008). Graphical models for marked point processes based on local independence. J. R. Stat. Soc. Ser. B Stat. Methodol. 70 245-264. MR2412641
    • (2008) J. R. Stat. Soc. Ser. B Stat. Methodol , vol.70 , pp. 245-264
    • Didelez, V.1
  • 8
    • 58849107628 scopus 로고    scopus 로고
    • Moment-closure approximations for mass-action models
    • GILLESPIE, C. (2009). Moment-closure approximations for mass-action models. IET Systems Biology 3 52-58.
    • (2009) IET Systems Biology , vol.3 , pp. 52-58
    • Gillespie, C.1
  • 9
    • 0017030517 scopus 로고
    • A general method for numerically simulating the stochastic time evolution of coupled chemical reactions
    • MR0503370
    • GILLESPIE, D. T. (1976). A general method for numerically simulating the stochastic time evolution of coupled chemical reactions. J. Comput. Phys. 22 403-434. MR0503370
    • (1976) J. Comput. Phys. , vol.22 , pp. 403-434
    • Gillespie, D.T.1
  • 10
    • 33645429016 scopus 로고
    • Exact stochastic simulation of coupled chemical reactions
    • GILLESPIE, D. T. (1977). Exact stochastic simulation of coupled chemical reactions. Journal of Physical Chemistry 81 2340-2361.
    • (1977) Journal of Physical Chemistry , vol.81 , pp. 2340-2361
    • Gillespie, D.T.1
  • 11
    • 44049109914 scopus 로고
    • A rigorous derivation of the chemical master equation
    • GILLESPIE, D. T. (1992). A rigorous derivation of the chemical master equation. Phys. A 188 404-425.
    • (1992) Phys. a , vol.188 , pp. 404-425
    • Gillespie, D.T.1
  • 12
    • 34047240691 scopus 로고    scopus 로고
    • Classical versus stochastic kinetics modeling of biochemical reaction systems
    • GOUTSIAS, J. (2007). Classical versus stochastic kinetics modeling of biochemical reaction systems. Biophysical Journal 92 2350-2365.
    • (2007) Biophysical Journal , vol.92 , pp. 2350-2365
    • Goutsias, J.1
  • 13
    • 14644396645 scopus 로고    scopus 로고
    • Functional cartography of complex metabolic networks
    • GUIMERÀ, R. and AMARAL, L. A. N. (2005). Functional cartography of complex metabolic networks. Nature 433 895-900.
    • (2005) Nature , vol.433 , pp. 895-900
    • Guimerà, R.1    Amaral, L.A.N.2
  • 14
    • 3242795003 scopus 로고    scopus 로고
    • The principle of flux minimization and its application to estimate stationary fluxes in biochemical networks
    • HOLZHUETTER, H. (2004). The principle of flux minimization and its application to estimate stationary fluxes in biochemical networks. European Journal of Biochemistry 271 2905-2922.
    • (2004) European Journal of Biochemistry , vol.271 , pp. 2905-2922
    • Holzhuetter, H.1
  • 18
    • 25444448797 scopus 로고    scopus 로고
    • Spontaneous evolution of modularity and network motifs
    • KASHTAN, N. and ALON, U. (2005). Spontaneous evolution of modularity and network motifs. Proc. Natl. Acad. Sci. 102 13773-13778.
    • (2005) Proc. Natl. Acad. Sci. , vol.102 , pp. 13773-13778
    • Kashtan, N.1    Alon, U.2
  • 19
    • 0035996969 scopus 로고    scopus 로고
    • Description and analysis of metabolic connectivity and dynamics in the human red blood cell
    • KAUFFMAN, K., PAJEROWSKI, J., JAMSHIDI, N., PALSSON, B. Ø. and EDWARDS, J. (2002). Description and analysis of metabolic connectivity and dynamics in the human red blood cell. Biophysical Journal 83 646-662.
    • (2002) Biophysical Journal , vol.83 , pp. 646-662
    • Kauffman, K.1    Pajerowski, J.2    Jamshidi, N.3    Palsson, B.Ø.4    Edwards, J.5
  • 23
    • 77955142431 scopus 로고    scopus 로고
    • Biomodels database: Model number BIOMD0000000070. Available at
    • NOVÈRE, N. L. (2006). Biomodels database: Model number BIOMD0000000070. Available at http://www.ebi.ac.uk/biomodels-main/ BIOMD0000000070.
    • (2006)
    • Novère, N.L.1
  • 24
    • 0036465639 scopus 로고    scopus 로고
    • Maximal prime subgraph decomposition of Bayesian networks
    • OLESEN, K. G. and MADSEN, A. L. (2002). Maximal prime subgraph decomposition of Bayesian networks. IEEE Trans. Syst. Man Cyb. Part B 32 21-31.
    • (2002) IEEE Trans. Syst. Man Cyb. Part B , vol.32 , pp. 21-31
    • Olesen, K.G.1    Madsen, A.L.2
  • 25
    • 0142186707 scopus 로고    scopus 로고
    • Network-based analysis of metabolic regulation in the human red blood cell
    • PRICE, N., REED, J., PAPIN, J., WIBACK, S. and PALSSON, B. Ø. (2003). Network-based analysis of metabolic regulation in the human red blood cell. J. Theoret. Biol. 225 185-194.
    • (2003) J. Theoret. Biol. , vol.225 , pp. 185-194
    • Price, N.1    Reed, J.2    Papin, J.3    Wiback, S.4    Palsson, B.Ø.5
  • 27
    • 0028927063 scopus 로고
    • Use of mathematical models for predicting metabolic effect of large-scale enzyme activity alterations
    • SCHUSTER, R. and HOLZHUETTER, H. (1995). Use of mathematical models for predicting metabolic effect of large-scale enzyme activity alterations. European Journal of Biochemistry 229 403-418.
    • (1995) European Journal of Biochemistry , vol.229 , pp. 403-418
    • Schuster, R.1    Holzhuetter, H.2
  • 30
    • 58549110252 scopus 로고    scopus 로고
    • Stochastic modelling for quantitative description of heterogeneous biological systems
    • WILKINSON, D. J. (2009). Stochastic modelling for quantitative description of heterogeneous biological systems. Nature Reviews Genetics 10 122-133.
    • (2009) Nature Reviews Genetics , vol.10 , pp. 122-133
    • Wilkinson, D.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.