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Volumn 10, Issue 2, 2011, Pages 751-774

Boundedness analysis for open Chemical Reaction Networks with mass-action kinetics

Author keywords

Chemical Reaction Networks; Continuous Petri Nets; Input output stability; Mass action kinetics; Open systems

Indexed keywords

ALGORITHM; CHEMICAL ANALYSIS; CHEMICAL PARAMETERS; CHEMICAL REACTION KINETICS; CLASSIFICATION; CONFERENCE PAPER; DYNAMICS; MASS ACTION; MATHEMATICAL ANALYSIS; MATHEMATICAL COMPUTING; MATHEMATICAL PARAMETERS; QUALITATIVE RESEARCH; SIMULATION;

EID: 79958037323     PISSN: 15677818     EISSN: 15729796     Source Type: Journal    
DOI: 10.1007/s11047-009-9163-7     Document Type: Conference Paper
Times cited : (6)

References (27)
  • 1
    • 0242334021 scopus 로고    scopus 로고
    • Monotone control systems
    • 2021417 10.1109/TAC.2003.817920
    • D Angeli ED Sontag 2003 Monotone control systems IEEE Trans Autom Control 48 1684 1698 2021417 10.1109/TAC.2003.817920
    • (2003) IEEE Trans Autom Control , vol.48 , pp. 1684-1698
    • Angeli, D.1    Sontag, E.D.2
  • 3
    • 34548532883 scopus 로고    scopus 로고
    • A Petri net approach to the study of persistence in chemical reaction networks
    • DOI 10.1016/j.mbs.2007.07.003, PII S0025556407001460
    • D Angeli P de Leenheer ED Sontag 2007 A Petri net approach to the study of persistence in chemical reaction networks Mathematical Biosciences 210 598 618 2374484 1133.92322 10.1016/j.mbs.2007.07.003 (Pubitemid 350116906)
    • (2007) Mathematical Biosciences , vol.210 , Issue.2 , pp. 598-618
    • Angeli, D.1    De Leenheer, P.2    Sontag, E.D.3
  • 4
    • 79958043104 scopus 로고    scopus 로고
    • Chemical networks with inflows and outflows: A positive linear differential inclusions approach
    • (submitted)
    • Angeli D, de Leenheer P, Sontag ED (2008) Chemical networks with inflows and outflows: a positive linear differential inclusions approach. Biotechnol Prog (submitted)
    • (2008) Biotechnol Prog
    • Angeli, D.1    De Leenheer, P.2    Sontag, E.D.3
  • 5
    • 0004432059 scopus 로고    scopus 로고
    • Issues in modelling and control of mass balance systems
    • Aeyels D, Lamnabhi-Laguarrigue F, van der Schaft AJ (eds) Lecture Notes in Control and Information Sciences. Springer
    • Bastin G (1999) Issues in modelling and control of mass balance systems. In: Aeyels D, Lamnabhi-Laguarrigue F, van der Schaft AJ (eds) Stability and stabilization of nonlinear systems, vol 246. Lecture Notes in Control and Information Sciences. Springer, pp 53-74
    • (1999) Stability and Stabilization of Nonlinear Systems , vol.246 , pp. 53-74
    • Bastin, G.1
  • 6
    • 0028419265 scopus 로고
    • Generating basis siphons and traps of Petri nets using the sign incidence matrix
    • 1281700 10.1109/81.285680
    • ER Boer T Murata 1994 Generating basis siphons and traps of Petri nets using the sign incidence matrix IEEE Trans Circuits Syst I Fundam Theory Appl 41 266 271 1281700 10.1109/81.285680
    • (1994) IEEE Trans Circuits Syst i Fundam Theory Appl , vol.41 , pp. 266-271
    • Boer, E.R.1    Murata, T.2
  • 7
    • 33644943581 scopus 로고    scopus 로고
    • Input-to-state stability of rate-controlled biochemical networks
    • 2175772 1130.93412 10.1137/S0363012903437964
    • M Chaves 2005 Input-to-state stability of rate-controlled biochemical networks SIAM J Control Optim 44 704 727 2175772 1130.93412 10.1137/ S0363012903437964
    • (2005) SIAM J Control Optim , vol.44 , pp. 704-727
    • Chaves, M.1
  • 8
    • 0002013127 scopus 로고
    • Stability of complex reaction networks
    • 10.1002/9780470142622.ch1
    • BL Clarke 1980 Stability of complex reaction networks Adv Chem Phys 43 1 216 10.1002/9780470142622.ch1
    • (1980) Adv Chem Phys , vol.43 , pp. 1-216
    • Clarke, B.L.1
  • 9
    • 0023531427 scopus 로고
    • Chemical reaction network structure and the stability of complex isothermal reactors - I. The deficiency zero and deficiency one theorems
    • DOI 10.1016/0009-2509(87)80099-4
    • M Feinberg 1987 Chemical reaction network structure and the stabiliy of complex isothermal reactors-I. The deficiency zero and deficiency one theorems. Review Article 25 Chem Eng Sci 42 2229 2268 10.1016/0009-2509(87)80099-4 (Pubitemid 18529434)
    • (1987) Chemical Engineering Science , vol.42 , Issue.10 , pp. 2229-2268
    • Feinberg Martin1
  • 10
    • 0001364051 scopus 로고
    • The Existence and Uniqueness of Steady States for a Class of Chemical Reaction Networks
    • M Feinberg 1995 The existence and uniqueness of steady states for a class of chemical reaction networks Arch Ration Mech Anal 132 311 370 1365832 0853.92024 10.1007/BF00375614 (Pubitemid 126013836)
    • (1995) Archive for Rational Mechanics and Analysis , vol.132 , Issue.4 , pp. 311-370
    • Feinberg, M.1
  • 11
    • 0003834324 scopus 로고
    • Lectures on chemical reaction networks
    • University of Wisconsin
    • Feinberg M (1979) Lectures on chemical reaction networks. Lectures at the Mathematics Research Center, University of Wisconsin. http://www.che.eng.ohio- state.edu/~feinberg/LecturesOnReactionNetworks/
    • (1979) Lectures at the Mathematics Research Center
    • Feinberg, M.1
  • 12
    • 0016038059 scopus 로고
    • Dynamics of open chemical systems and algebraic structure of underlying reaction network
    • 10.1016/0009-2509(74)80195-8
    • M Feinberg FJM Horn 1974 Dynamics of open chemical systems and algebraic structure of underlying reaction network Chem Eng Sci 29 775 787 10.1016/0009-2509(74)80195-8
    • (1974) Chem Eng Sci , vol.29 , pp. 775-787
    • Feinberg, M.1    Horn, F.J.M.2
  • 14
  • 15
    • 0017030517 scopus 로고
    • A general method for numerically simulating the stochastic time evolution of coupled chemical reactions
    • DOI 10.1016/0021-9991(76)90041-3
    • DT Gillespie 1976 A general method for numerically simulating the stochastic time evolution of coupled chemical reactions J comput phys 22 4 403 434 503370 10.1016/0021-9991(76)90041-3 (Pubitemid 8008311)
    • (1976) Journal of Computational Physics , vol.22 , Issue.4 , pp. 403-434
    • Gillepsie, D.T.1
  • 17
    • 0000491652 scopus 로고
    • A Petri net application to model metabolic processes
    • 0829.92010
    • R Hofestädt 1994 A Petri net application to model metabolic processes Syst Anal Mod Simul 16 113 122 0829.92010
    • (1994) Syst Anal Mod Simul , vol.16 , pp. 113-122
    • Hofestädt, R.1
  • 19
    • 0027555111 scopus 로고
    • Qualitative theory of compartmental systems
    • 1207797 0776.92001 10.1137/1035003
    • JA Jacquez CP Simon 1993 Qualitative theory of compartmental systems SIAM Rev 35 1 43 79 1207797 0776.92001 10.1137/1035003
    • (1993) SIAM Rev , vol.35 , Issue.1 , pp. 43-79
    • Jacquez, J.A.1    Simon, C.P.2
  • 21
    • 0001455869 scopus 로고
    • The relationship between stochastic and deterministic models for chemical reactions
    • Kurtz TG (1972) The relationship between stochastic and deterministic models for chemical reactions. J Chem Phys 57(7):2976-2978
    • (1972) J Chem Phys , vol.57 , Issue.7 , pp. 2976-2978
    • Kurtz, T.G.1
  • 22
    • 0024645936 scopus 로고
    • Petri Nets: Properties, analysis and applications
    • Murata T (1989) Petri Nets: properties, analysis and applications. Proc IEEE 77(4):541-580
    • (1989) Proc IEEE , vol.77 , Issue.4 , pp. 541-580
    • Murata, T.1
  • 23
    • 0036300225 scopus 로고    scopus 로고
    • Modelling biological processes using workflow and Petri Net models
    • M Peleg MI Yeh R Altman 2002 Modeling biological processes using workflow and Petri net models Bioinformatics 18 825 837 10.1093/bioinformatics/18.6.825 (Pubitemid 34727643)
    • (2002) Bioinformatics , vol.18 , Issue.6 , pp. 825-837
    • Peleg, M.1    Yeh, I.2    Altman, R.B.3
  • 27
    • 0345602990 scopus 로고    scopus 로고
    • Topological analysis of metabolic networks based on Petri net theory
    • paper 0029
    • Zevedei-Oancea I, Schuster S (2003) Topological analysis of metabolic networks based on Petri net theory. In: Silico Biol 3: paper 0029
    • (2003) Silico Biol , vol.3
    • Zevedei-Oancea, I.1    Schuster, S.2


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