메뉴 건너뛰기




Volumn 73, Issue 4, 2011, Pages 811-828

How Far is Complex Balancing from Detailed Balancing?

Author keywords

Complex balancing; Detailed balancing; General kinetics; Mass action

Indexed keywords

ALGORITHM; ARTICLE; BIOLOGICAL MODEL; CHEMICAL MODEL; KINETICS; METABOLISM; PHYSIOLOGY;

EID: 79953080096     PISSN: 00928240     EISSN: 15229602     Source Type: Journal    
DOI: 10.1007/s11538-010-9611-7     Document Type: Article
Times cited : (38)

References (29)
  • 1
    • 34548532883 scopus 로고    scopus 로고
    • A Petri net approach to the study of persistence in chemical reaction networks
    • Angeli, D., de Leenheer, P., & Sontag, E. D. (2007). A Petri net approach to the study of persistence in chemical reaction networks. Math. Biosci., 210, 598-618.
    • (2007) Math. Biosci. , vol.210 , pp. 598-618
    • Angeli, D.1    de Leenheer, P.2    Sontag, E.D.3
  • 2
    • 0030972112 scopus 로고    scopus 로고
    • The activating dual phosphorylation of MAPK by MEK is nonprocessive
    • Burack, W. R., & Sturgill, T. (1997). The activating dual phosphorylation of MAPK by MEK is nonprocessive. Biochemistry, 36(20), 5929-5933.
    • (1997) Biochemistry , vol.36 , Issue.20 , pp. 5929-5933
    • Burack, W.R.1    Sturgill, T.2
  • 3
    • 33745027709 scopus 로고    scopus 로고
    • Multiple equilibria in complex chemical reaction networks: II. The species-reactions graph
    • Craciun, G., & Feinberg, M. (2006). Multiple equilibria in complex chemical reaction networks: II. The species-reactions graph. SIAM J. Appl. Math., 66(4), 1321-1338.
    • (2006) SIAM J. Appl. Math. , vol.66 , Issue.4 , pp. 1321-1338
    • Craciun, G.1    Feinberg, M.2
  • 5
    • 33744744785 scopus 로고    scopus 로고
    • Understanding bistability in complex enzymedriven reaction networks
    • Craciun, G., Tang, Y., & Feinberg, M. (2006). Understanding bistability in complex enzymedriven reaction networks. Proc. Natl. Acad. Sci. USA, 103(23), 8697-8702.
    • (2006) Proc. Natl. Acad. Sci. USA , vol.103 , Issue.23 , pp. 8697-8702
    • Craciun, G.1    Tang, Y.2    Feinberg, M.3
  • 6
    • 33947677189 scopus 로고    scopus 로고
    • Thermodynamically feasible kinetic models of reaction networks
    • Ederer, M., & Gilles, E. D. (2007). Thermodynamically feasible kinetic models of reaction networks. Biophys. J., 92(6), 1846-1857.
    • (2007) Biophys. J. , vol.92 , Issue.6 , pp. 1846-1857
    • Ederer, M.1    Gilles, E.D.2
  • 8
    • 0015482348 scopus 로고
    • Complex balancing in general kinetic systems
    • Feinberg, M. (1972/1973). Complex balancing in general kinetic systems. Arch. Ration. Mech. Anal., 49, 187-194.
    • (1972) Arch. Ration. Mech. Anal. , vol.49 , pp. 187-194
    • Feinberg, M.1
  • 9
    • 0003834324 scopus 로고
    • Notes of lectures given at the Mathematics Research Center of the University of Wisconsin in 1979, available at:
    • Feinberg, M. (1979). Lectures on chemical reaction networks. Notes of lectures given at the Mathematics Research Center of the University of Wisconsin in 1979, available at: http://www. che. eng. ohio-state. edu/~FEINBERG/LecturesOnReactionNetworks.
    • (1979) Lectures on chemical reaction networks.
    • Feinberg, M.1
  • 10
    • 0024881071 scopus 로고
    • Necessary and sufficient conditions for detailed balancing in mass action systems of arbitrary complexity
    • Feinberg, M. (1989). Necessary and sufficient conditions for detailed balancing in mass action systems of arbitrary complexity. Chem. Eng. Sci., 44(9), 1819-1827.
    • (1989) Chem. Eng. Sci. , vol.44 , Issue.9 , pp. 1819-1827
    • Feinberg, M.1
  • 11
    • 0001364051 scopus 로고
    • The existence and uniqueness of steady states for a class of chemical reaction networks
    • Feinberg, M. (1995). The existence and uniqueness of steady states for a class of chemical reaction networks. Arch. Ration. Mech. Anal., 132(4), 311-370.
    • (1995) Arch. Ration. Mech. Anal. , vol.132 , Issue.4 , pp. 311-370
    • Feinberg, M.1
  • 12
    • 0030746219 scopus 로고    scopus 로고
    • Mechanistic studies of the dual phosphorylation of mitogenactivated protein kinase
    • Ferrell, J. E. Jr., & Bhatt, R. (1997). Mechanistic studies of the dual phosphorylation of mitogenactivated protein kinase. J. Biol. Chem., 272(30), 19008-19016.
    • (1997) J. Biol. Chem. , vol.272 , Issue.30 , pp. 19008-19016
    • Ferrell Jr., J.E.1    Bhatt, R.2
  • 13
    • 11244271554 scopus 로고    scopus 로고
    • Bernstein's second theorem and Viro's method for sparse polynomial systems in chemistry
    • Gatermann, K., & Wolfrum, M. (2005). Bernstein's second theorem and Viro's method for sparse polynomial systems in chemistry. Adv. Appl. Math., 34(2), 252-294.
    • (2005) Adv. Appl. Math. , vol.34 , Issue.2 , pp. 252-294
    • Gatermann, K.1    Wolfrum, M.2
  • 14
    • 69849107725 scopus 로고    scopus 로고
    • Univalent positive polynomial maps and the equilibrium state of chemical networks of reversible binding reactions
    • Gnacadja, G. (2009). Univalent positive polynomial maps and the equilibrium state of chemical networks of reversible binding reactions. Adv. Appl. Math., 43(4), 394-414.
    • (2009) Adv. Appl. Math. , vol.43 , Issue.4 , pp. 394-414
    • Gnacadja, G.1
  • 16
    • 36849019999 scopus 로고    scopus 로고
    • Distributivity and processivity in multisite phosphorylation can be distinguished through steady-state invariants
    • Gunawardena, J. (2007). Distributivity and processivity in multisite phosphorylation can be distinguished through steady-state invariants. Biophys. J., 93, 3828-3834.
    • (2007) Biophys. J. , vol.93 , pp. 3828-3834
    • Gunawardena, J.1
  • 17
    • 61349153686 scopus 로고    scopus 로고
    • Models in systems biology: the parameter problem and the meanings of robustness
    • H. Lodhi and S. Muggleton (Eds.), New York: Wiley
    • Gunawardena, J. (2009). Models in systems biology: the parameter problem and the meanings of robustness. In H. Lodhi & S. Muggleton (Eds.), Elements of computational systems biology. New York: Wiley.
    • (2009) Elements of Computational Systems Biology
    • Gunawardena, J.1
  • 18
    • 0015489310 scopus 로고
    • Necessary and sufficient conditions for complex balancing in chemical kinetics
    • Horn, F. (1972/1973). Necessary and sufficient conditions for complex balancing in chemical kinetics. Arch. Ration. Mech. Anal., 49, 172-186.
    • (1972) Arch. Ration. Mech. Anal. , vol.49 , pp. 172-186
    • Horn, F.1
  • 19
    • 52949095007 scopus 로고
    • Stability and complex balancing in mass-action systems with three short complexes
    • Horn, F. (1973). Stability and complex balancing in mass-action systems with three short complexes. Proc. R. Soc. Lond. Ser. A, 334, 331-342.
    • (1973) Proc. R. Soc. Lond. Ser. A , vol.334 , pp. 331-342
    • Horn, F.1
  • 22
    • 33947472850 scopus 로고
    • A schematic method of deriving the rate laws for enzyme-catalyzed reactions
    • King, E. L., & Altman, C. (1956). A schematic method of deriving the rate laws for enzyme-catalyzed reactions. J. Phys. Chem., 60(10), 1375-1378.
    • (1956) J. Phys. Chem. , vol.60 , Issue.10 , pp. 1375-1378
    • King, E.L.1    Altman, C.2
  • 23
    • 58749090027 scopus 로고    scopus 로고
    • The geometry of multisite phosphorylation
    • Manrai, A., & Gunawardena, J. (2008). The geometry of multisite phosphorylation. Biophys. J., 95, 5533-5543.
    • (2008) Biophys. J. , vol.95 , pp. 5533-5543
    • Manrai, A.1    Gunawardena, J.2
  • 24
    • 0842288229 scopus 로고    scopus 로고
    • Signaling switches and bistability arising from multisite phosphorylation in protein kinase cascades
    • Markevich, N. I., Hoek, J. B., & Kholodenko, B. N. (2004). Signaling switches and bistability arising from multisite phosphorylation in protein kinase cascades. J. Cell Biol., 164(3), 353-359.
    • (2004) J. Cell Biol. , vol.164 , Issue.3 , pp. 353-359
    • Markevich, N.I.1    Hoek, J.B.2    Kholodenko, B.N.3
  • 25
    • 0010538827 scopus 로고
    • A generalization of Wegscheider's condition. Implications for properties of steady states and for quasi-steady-state approximation
    • Schuster, S., & Schuster, R. (1989). A generalization of Wegscheider's condition. Implications for properties of steady states and for quasi-steady-state approximation. J. Math. Chem., 3, 25-42.
    • (1989) J. Math. Chem. , vol.3 , pp. 25-42
    • Schuster, S.1    Schuster, R.2
  • 26
    • 58449106508 scopus 로고    scopus 로고
    • Sensitivity and robustness in chemical reaction networks
    • Shinar, G., Alon, U., & Feinberg, M. (2009). Sensitivity and robustness in chemical reaction networks. SIAM J. Appl. Math., 69(4), 977-998.
    • (2009) SIAM J. Appl. Math. , vol.69 , Issue.4 , pp. 977-998
    • Shinar, G.1    Alon, U.2    Feinberg, M.3
  • 27
    • 0035390982 scopus 로고    scopus 로고
    • Structure and stability of certain chemical networks and applications to the kinetic proofreading model of T-cell receptor signal transduction
    • Sontag, E. (2001). Structure and stability of certain chemical networks and applications to the kinetic proofreading model of T-cell receptor signal transduction. IEEE Trans. Autom. Control, 46, 1028-1047.
    • (2001) IEEE Trans. Autom. Control , vol.46 , pp. 1028-1047
    • Sontag, E.1
  • 28
    • 0003526491 scopus 로고    scopus 로고
    • Cambridge studies in advanced mathematicsWith a foreword by Gian-Carlo Rota and Appendix 1 by Sergey Fomin, Cambridge: Cambridge University Press
    • Stanley, R. P. (1999). Cambridge studies in advanced mathematics: Vol. 62. Enumerative combinatorics: Vol. 2. Cambridge: Cambridge University Press. With a foreword by Gian-Carlo Rota and Appendix 1 by Sergey Fomin.
    • (1999) Enumerative Combinatorics: Vol. 2 , vol.62
    • Stanley, R.P.1
  • 29
    • 78649420465 scopus 로고    scopus 로고
    • Thermodynamically based constraints for rate coefficients of large biochemical networks
    • Vlad, M. O., & Ross, J. (2009). Thermodynamically based constraints for rate coefficients of large biochemical networks. WIREs Syst. Biol. Med., 1(3), 348-358.
    • (2009) WIREs Syst. Biol. Med. , vol.1 , Issue.3 , pp. 348-358
    • Vlad, M.O.1    Ross, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.