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Volumn 219, Issue 4, 2012, Pages 1449-1467

Preclusion of switch behavior in networks with mass-action kinetics

Author keywords

Degenerate steady state; Injectivity; Jacobian criterion; Multiple steady states; Stoichiometric subspace

Indexed keywords

INJECTIVITY; JACOBIANS; MULTIPLE STEADY STATE; STEADY STATE; STOICHIOMETRIC SUBSPACE;

EID: 84867575860     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2012.07.048     Document Type: Article
Times cited : (45)

References (21)
  • 2
    • 33745027709 scopus 로고    scopus 로고
    • Multiple equilibria in complex chemical reaction networks, II the species-reaction graph
    • G. Craciun, M. Feinberg, Multiple equilibria in complex chemical reaction networks, II The species-reaction graph, SIAM J. Appl. Math. 66 (2006) 1321-1338.
    • (2006) SIAM J. Appl. Math. , vol.66 , pp. 1321-1338
    • Craciun, G.1    Feinberg, M.2
  • 3
    • 72049099058 scopus 로고    scopus 로고
    • Graph-Theoretic criteria for injectivity and unique equilibria in general chemical reaction systems
    • M. Banaji, and G. Craciun Graph-Theoretic criteria for injectivity and unique equilibria in general chemical reaction systems Adv. Appl. Math. 44 2010 168 184
    • (2010) Adv. Appl. Math. , vol.44 , pp. 168-184
    • Banaji, M.1    Craciun, G.2
  • 4
    • 27844475135 scopus 로고    scopus 로고
    • Multiple equilibria in complex chemical reaction networks i the injectivity property
    • G. Craciun, and M. Feinberg Multiple equilibria in complex chemical reaction networks I The injectivity property SIAM J. Appl. Math. 65 2005 1526 1546
    • (2005) SIAM J. Appl. Math. , vol.65 , pp. 1526-1546
    • Craciun, G.1    Feinberg, M.2
  • 5
    • 77951199596 scopus 로고    scopus 로고
    • Multiple equilibria in complex chemical reaction networks: Semiopen mass action systems
    • G. Craciun, and M. Feinberg Multiple equilibria in complex chemical reaction networks: semiopen mass action systems SIAM J. Appl. Math. 70 2010 1859 1877
    • (2010) SIAM J. Appl. Math. , vol.70 , pp. 1859-1877
    • Craciun, G.1    Feinberg, M.2
  • 6
    • 37849018685 scopus 로고    scopus 로고
    • P matrix properties injectivity and stability in chemical reaction systems
    • M. Banaji, P. Donnell, and S. Baigent P matrix properties injectivity and stability in chemical reaction systems SIAM J. Appl. Math. 67 2007 1523 1547
    • (2007) SIAM J. Appl. Math. , vol.67 , pp. 1523-1547
    • Banaji, M.1    Donnell, P.2    Baigent, S.3
  • 8
    • 37649013307 scopus 로고    scopus 로고
    • Subnetwork analysis reveals dynamic features of complex (bio)chemical networks
    • C. Conradi, D. Flockerzi, J. Raisch, J. Stelling,Subnetwork analysis reveals dynamic features of complex (bio)chemical networks, Proc. Nat. Acad. Sci. 104 (2007) 19175-80.
    • (2007) Proc. Nat. Acad. Sci. , vol.104 , pp. 19175-19180
    • Conradi, C.1    Flockerzi, D.2    Raisch, J.3    Stelling, J.4
  • 9
    • 33746586245 scopus 로고    scopus 로고
    • Multiple equilibria in complex chemical reaction networks: Extensions to entrapped species models
    • G. Craciun, and M. Feinberg Multiple equilibria in complex chemical reaction networks: extensions to entrapped species models Syst. Biol. (Stevenage) 153 2006 179 186
    • (2006) Syst. Biol. (Stevenage) , vol.153 , pp. 179-186
    • Craciun, G.1    Feinberg, M.2
  • 10
    • 0342620694 scopus 로고
    • The Jacobian matrix and global univalence of mappings
    • D. Gale, and H. Nikaidô The Jacobian matrix and global univalence of mappings Math. Ann. 159 1965 81 93
    • (1965) Math. Ann. , vol.159 , pp. 81-93
    • Gale, D.1    Nikaidô, H.2
  • 11
    • 0001364051 scopus 로고
    • The existence and uniqueness of steady states for a class of chemical reaction networks
    • M. Feinberg The existence and uniqueness of steady states for a class of chemical reaction networks Arch. Rational Mech. Anal. 132 1995 311 370
    • (1995) Arch. Rational Mech. Anal. , vol.132 , pp. 311-370
    • Feinberg, M.1
  • 12
    • 0016038059 scopus 로고
    • Dynamics of the open chemical systems and algebraic structure of the underlying reaction network
    • M. Feinberg, and F. Horn Dynamics of the open chemical systems and algebraic structure of the underlying reaction network Chem. Eng. Sci. 29 1974 775 787
    • (1974) Chem. Eng. Sci. , vol.29 , pp. 775-787
    • Feinberg, M.1    Horn, F.2
  • 13
    • 7744230024 scopus 로고    scopus 로고
    • Graphical requirements for multistationarity
    • C. Soulé Graphical requirements for multistationarity ComplexUs 1 2003 123 133
    • (2003) ComplexUs , vol.1 , pp. 123-133
    • Soulé, C.1
  • 14
    • 84867854824 scopus 로고    scopus 로고
    • Concordant chemical reaction networks
    • G. Shinar, and M. Feinberg Concordant chemical reaction networks Math. Biosci. 2012 http://dx.doi.org/10.1016/j.mbs.2012.05.004
    • (2012) Math. Biosci.
    • Shinar, G.1    Feinberg, M.2
  • 15
    • 84966224351 scopus 로고
    • The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
    • H. Bass, E. Connell, and D. Wright The Jacobian conjecture: reduction of degree and formal expansion of the inverse Bull. Am. Math. Soc. 7 1982 287 330
    • (1982) Bull. Am. Math. Soc. , vol.7 , pp. 287-330
    • Bass, H.1    Connell, E.2    Wright, D.3
  • 16
    • 84861101520 scopus 로고    scopus 로고
    • A Jacobian criterion for the simultaneous injectivity on positive variables of linearly parameterized polynomials maps
    • G. Gnacadja, A Jacobian criterion for the simultaneous injectivity on positive variables of linearly parameterized polynomials maps, Linear Algebra Appl. 437 (2012) 612-622
    • (2012) Linear Algebra Appl. , vol.437 , pp. 612-622
    • Gnacadja, G.1
  • 17
    • 0842288229 scopus 로고    scopus 로고
    • Signaling switches and bistability arising from multisite phosphorylation in protein kinase cascades
    • N. I. Markevich, J. B. Hoek, B. N. Kholodenko,Signaling switches and bistability arising from multisite phosphorylation in protein kinase cascades, J. Cell Biol. 164 (2004) 353-359.
    • (2004) J. Cell Biol. , vol.164 , pp. 353-359
    • Markevich, N.I.1    Hoek, J.B.2    Kholodenko, B.N.3
  • 18
    • 84861180391 scopus 로고    scopus 로고
    • Enzyme-sharing as a cause of multistationarity in signalling systems
    • E. Feliu, and C. Wiuf Enzyme-sharing as a cause of multistationarity in signalling systems J. R. S. Interface 9 2012 1224-32
    • (2012) J. R. S. Interface , vol.9 , pp. 1224-1232
    • Feliu, E.1    Wiuf, C.2
  • 19
    • 84865683792 scopus 로고    scopus 로고
    • Simplifying the Jacobian criterion for precluding multistationarity in chemical reaction networks
    • B. Joshi, and A. Shiu Simplifying the Jacobian criterion for precluding multistationarity in chemical reaction networks SIAM J. Appl. Math. 72 2012 857 876
    • (2012) SIAM J. Appl. Math. , vol.72 , pp. 857-876
    • Joshi, B.1    Shiu, A.2
  • 20
    • 84871708858 scopus 로고    scopus 로고
    • Atoms of multistationarity in chemical reaction networks
    • arxiv:1108.5238
    • B. Joshi, and A. Shiu Atoms of multistationarity in chemical reaction networks J. Math.Chem. 2012 arxiv:1108.5238
    • (2012) J. Math.Chem.
    • Joshi, B.1    Shiu, A.2
  • 21
    • 79953843401 scopus 로고    scopus 로고
    • Constraints on reciprocal flux sensitivities in biochemical reaction networks
    • G. Shinar, A. Mayo, H. Ji, M. Feinberg,Constraints on reciprocal flux sensitivities in biochemical reaction networks, Biophys. J. 100 (2011) 1383-91.
    • (2011) Biophys. J. , vol.100 , pp. 1383-1391
    • Shinar, G.1    Mayo, A.2    Ji, H.3    Feinberg, M.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.