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Volumn 404, Issue 1-2, 2008, Pages 97-111

Relating continuous and discrete PEPA models of signalling pathways

Author keywords

CTMC; Kurtz; ODEs; PEPA

Indexed keywords

BIOLOGICAL SYSTEMS; DIFFERENCE EQUATIONS; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); EQUATIONS OF STATE; INFORMATION THEORY; MARKOV PROCESSES; SEMANTICS; STATE SPACE METHODS;

EID: 49249084626     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tcs.2008.04.012     Document Type: Article
Times cited : (26)

References (22)
  • 1
    • 34548268951 scopus 로고    scopus 로고
    • L. Bortolussi, A. Policriti, Stochastic concurrent constraint programming and differential equations, in: Proceedings of Fifth Workshop on Quantitative Aspects of Programming Languages, Braga, Portugal, 2007
    • L. Bortolussi, A. Policriti, Stochastic concurrent constraint programming and differential equations, in: Proceedings of Fifth Workshop on Quantitative Aspects of Programming Languages, Braga, Portugal, 2007
  • 2
    • 33845200552 scopus 로고    scopus 로고
    • M. Calder, A. Duguid, S. Gilmore, J. Hillston, Stronger computational modelling of signalling pathways using both continuous and discrete-state methods, in: Proceedings of 4th International Workshop on Computational Methods in Systems Biology, Trento, Italy, 18-19th October 2006, pp. 63-77
    • M. Calder, A. Duguid, S. Gilmore, J. Hillston, Stronger computational modelling of signalling pathways using both continuous and discrete-state methods, in: Proceedings of 4th International Workshop on Computational Methods in Systems Biology, Trento, Italy, 18-19th October 2006, pp. 63-77
  • 3
    • 49249114700 scopus 로고    scopus 로고
    • M. Calder, S. Gilmore, J. Hillston, Modelling the influence of RKIP on the ERK signaling pathway using the stochastic process algebra PEPA, BioConcur, 2004
    • M. Calder, S. Gilmore, J. Hillston, Modelling the influence of RKIP on the ERK signaling pathway using the stochastic process algebra PEPA, BioConcur, 2004
  • 5
    • 49249096850 scopus 로고    scopus 로고
    • M. Calder, J. Hillston, What do scaffold proteins really do? in: Proceedings of the 5th International Workshop on Process Algebras and Stochastically Timed Activities, PASTA'06, Imperial College, London, UK, June 2006, pp. 96-101
    • M. Calder, J. Hillston, What do scaffold proteins really do? in: Proceedings of the 5th International Workshop on Process Algebras and Stochastically Timed Activities, PASTA'06, Imperial College, London, UK, June 2006, pp. 96-101
  • 7
    • 49249123859 scopus 로고    scopus 로고
    • L. Cardelli, From processes to ODEs by chemistry, Unpublished manuscript, 2006
    • L. Cardelli, From processes to ODEs by chemistry, Unpublished manuscript, 2006
  • 9
    • 49249085203 scopus 로고    scopus 로고
    • An attempt to give a clear semantics of the extension of PEPA for massively parallel processes and biological modelling
    • Geisweiller N. An attempt to give a clear semantics of the extension of PEPA for massively parallel processes and biological modelling. Process Algebra and Stochastically Timed Activities (2006) 36-43
    • (2006) Process Algebra and Stochastically Timed Activities , pp. 36-43
    • Geisweiller, N.1
  • 10
    • 33645429016 scopus 로고
    • Exact stochastic simulation of coupled chemical reactions
    • Gillespie D. Exact stochastic simulation of coupled chemical reactions. Journal of Physical Chemistry 81 25 (1977) 2340-2361
    • (1977) Journal of Physical Chemistry , vol.81 , Issue.25 , pp. 2340-2361
    • Gillespie, D.1
  • 11
    • 49249136760 scopus 로고    scopus 로고
    • D. Gillespie, L. Petzold, Numerical simulation for biochemical kinetics, 2006
    • D. Gillespie, L. Petzold, Numerical simulation for biochemical kinetics, 2006
  • 12
    • 0032499741 scopus 로고    scopus 로고
    • Quantitative modeling of stochastic systems in molecular biology by using stochastic Petri nets
    • 7650-6755
    • Goss P., and Peccoud J. Quantitative modeling of stochastic systems in molecular biology by using stochastic Petri nets. Proceedings of National Academy of Science, USA 95 12 (1998) 7650-6755
    • (1998) Proceedings of National Academy of Science, USA , vol.95 , Issue.12
    • Goss, P.1    Peccoud, J.2
  • 13
    • 49249122346 scopus 로고    scopus 로고
    • J. Heath, M. Kwiatkowska, G. Norman, D. Parker, O. Tymchynshyn, Computer assisted biological reasoning: The simulation and analysis of FGF signalling pathway dynamics, in: Proceedings of the Winter Simulation Conference, 2006
    • J. Heath, M. Kwiatkowska, G. Norman, D. Parker, O. Tymchynshyn, Computer assisted biological reasoning: The simulation and analysis of FGF signalling pathway dynamics, in: Proceedings of the Winter Simulation Conference, 2006
  • 14
    • 49249116875 scopus 로고    scopus 로고
    • J. Hillston, The nature of synchronisation, in: U. Herzog, M. Rettelbach (Eds.), Proceedings of the Second International Workshop on Process Algebras and Performance Modelling, Erlangen, Nov. 1994, pp. 51-70
    • J. Hillston, The nature of synchronisation, in: U. Herzog, M. Rettelbach (Eds.), Proceedings of the Second International Workshop on Process Algebras and Performance Modelling, Erlangen, Nov. 1994, pp. 51-70
  • 17
    • 0002232633 scopus 로고
    • Solutions of ordinary differential equations as limits of pure jump markov processes
    • Kurtz T. Solutions of ordinary differential equations as limits of pure jump markov processes. J. Appl. Prob. 7 (1970) 49-58
    • (1970) J. Appl. Prob. , vol.7 , pp. 49-58
    • Kurtz, T.1
  • 18
    • 0001455869 scopus 로고
    • The relationship between stochastic and deterministic models for chemical reactions
    • Kurtz T. The relationship between stochastic and deterministic models for chemical reactions. Journal of Chemical Physics 57 7 (1972) 2976-2978
    • (1972) Journal of Chemical Physics , vol.57 , Issue.7 , pp. 2976-2978
    • Kurtz, T.1
  • 19
    • 38149103597 scopus 로고    scopus 로고
    • Gene regulation in the pi calculus: simulating cooperativity at the lambda switch
    • Transactions on Computational Systems Biology
    • Kuttler C., and Niehren J. Gene regulation in the pi calculus: simulating cooperativity at the lambda switch. Transactions on Computational Systems Biology. LNCS vol. 4230 (2006) 24-55
    • (2006) LNCS , vol.4230 , pp. 24-55
    • Kuttler, C.1    Niehren, J.2
  • 20
    • 2442650615 scopus 로고    scopus 로고
    • P. Lecca, C. Priami, C. Laudanna, G. Constantin, A Biospi model of lymphocyte-endothelial interactions in inflamed brain venules, in: Pacific Symposium of Biocomputing, 2004, pp. 521-532
    • P. Lecca, C. Priami, C. Laudanna, G. Constantin, A Biospi model of lymphocyte-endothelial interactions in inflamed brain venules, in: Pacific Symposium of Biocomputing, 2004, pp. 521-532
  • 21
    • 0035888407 scopus 로고    scopus 로고
    • Application of a stochastic name passing process calculus to representation and simulation of molecular processes
    • Priami C., Regev A., Silverman W., and Shapiro E. Application of a stochastic name passing process calculus to representation and simulation of molecular processes. Information Processing Letters 80 (2001) 25-31
    • (2001) Information Processing Letters , vol.80 , pp. 25-31
    • Priami, C.1    Regev, A.2    Silverman, W.3    Shapiro, E.4
  • 22
    • 49249091959 scopus 로고    scopus 로고
    • A. Regev, Computational systems biology: A calculus for biomolecular knowledge, 2002
    • A. Regev, Computational systems biology: A calculus for biomolecular knowledge, 2002


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.