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Volumn 11, Issue 6, 2014, Pages 1077-1086

An efficient and very accurate method for calculating steady-state sensitivities in metabolic reaction systems

Author keywords

algorithm design and analysis; biology and genetics; Roots of nonlinear equations; systems theory

Indexed keywords

BIOCHEMISTRY; BIOLOGICAL SYSTEMS; COMPUTATION THEORY; DIFFERENTIATION (CALCULUS); METABOLISM; NEWTON-RAPHSON METHOD; NONLINEAR EQUATIONS; SYSTEM THEORY;

EID: 84919479732     PISSN: 15455963     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCBB.2014.2338311     Document Type: Article
Times cited : (10)

References (22)
  • 1
    • 0014649230 scopus 로고
    • Biochemical systems analysis. I. Some mathematical properties of the rate law for the component enzymatic reactions
    • M. A. Savageau, "Biochemical systems analysis. I. Some mathematical properties of the rate law for the component enzymatic reactions," J. Theoretical Biol., vol. 25, no. 3, pp. 365-369, 1969.
    • (1969) J. Theoretical Biol. , vol.25 , Issue.3 , pp. 365-369
    • Savageau, M.A.1
  • 2
    • 0014658880 scopus 로고
    • Biochemical systems analysis. II. The steadystate solutions for an n-pool system using a power-law approximation
    • Dec.
    • M. A. Savageau, "Biochemical systems analysis. II. The steadystate solutions for an n-pool system using a power-law approximation," J. Theoretical Biol., vol. 25, no. 3, pp. 370-379, Dec. 1969.
    • (1969) J. Theoretical Biol. , vol.25 , Issue.3 , pp. 370-379
    • Savageau, M.A.1
  • 3
    • 0014733809 scopus 로고
    • Biochemical systems analysis. III. Dynamic solutions using a power-law approximation
    • Dec.
    • M. A. Savageau, "Biochemical systems analysis. III. Dynamic solutions using a power-law approximation," J. Theoretical Biol., vol. 26, no. 2, pp. 215-226, Dec. 1970.
    • (1970) J. Theoretical Biol. , vol.26 , Issue.2 , pp. 215-226
    • Savageau, M.A.1
  • 6
    • 84883050022 scopus 로고    scopus 로고
    • Biochemical systems theory: A review
    • E. O. Voit, "Biochemical systems theory: A review," ISRN Biomath., vol. 2013, p. 53, 2013.
    • (2013) ISRN Biomath. , vol.2013 , pp. 53
    • Voit, E.O.1
  • 7
    • 0026470976 scopus 로고
    • The tricarboxylic acid cycle in Dictyostelium discoideum: III. Analysis of steady state and dynamic behavior
    • F. Shiraishi and M. A. Savageau, "The tricarboxylic acid cycle in Dictyostelium discoideum: III. Analysis of steady state and dynamic behavior," J. Biol. Chem., vol. 267, pp. 22926-22933, 1992.
    • (1992) J. Biol. Chem. , vol.267 , pp. 22926-22933
    • Shiraishi, F.1    Savageau, M.A.2
  • 8
    • 0026495410 scopus 로고
    • The tricarboxylic acid cycle in Dictyostelium discoideum: I. Formulation of alternative kinetic representations
    • F. Shiraishi and M. A. Savageau, "The tricarboxylic acid cycle in Dictyostelium discoideum: I. Formulation of alternative kinetic representations," J. Biol. Chem., vol. 267, no. 32, pp. 22912-22918, 1992.
    • (1992) J. Biol. Chem. , vol.267 , Issue.32 , pp. 22912-22918
    • Shiraishi, F.1    Savageau, M.A.2
  • 9
    • 0026470975 scopus 로고
    • The tricarboxylic acid cycle in Dictyostelium discoideum: II. Evaluation of model consistency and robustness
    • F. Shiraishi and M. A. Savageau, "The tricarboxylic acid cycle in Dictyostelium discoideum: II. Evaluation of model consistency and robustness," J. Biol. Chem., vol. 267, no. 32, pp. 22919-22925, 1992.
    • (1992) J. Biol. Chem. , vol.267 , Issue.32 , pp. 22919-22925
    • Shiraishi, F.1    Savageau, M.A.2
  • 10
    • 0026463865 scopus 로고
    • The tricarboxylic acid cycle in Dictyostelium discoideum. IV. Resolution of discrepancies between alternative methods of analysis
    • F. Shiraishi and M. A. Savageau, "The tricarboxylic acid cycle in Dictyostelium discoideum. IV. Resolution of discrepancies between alternative methods of analysis," J. Biol. Chem., vol. 267, no. 32, pp. 22934-22943, 1992.
    • (1992) J. Biol. Chem. , vol.267 , Issue.32 , pp. 22934-22943
    • Shiraishi, F.1    Savageau, M.A.2
  • 11
    • 0027321318 scopus 로고
    • The tricarboxylic acid cycle in Dictyostelium discoideum: Systemic effects of including protein turnover in the current model
    • F. Shiraishi and M. A. Savageau, "The tricarboxylic acid cycle in Dictyostelium discoideum: Systemic effects of including protein turnover in the current model," J. Biol. Chem., vol. 268, no. 23, pp. 16917-16928, 1993.
    • (1993) J. Biol. Chem. , vol.268 , Issue.23 , pp. 16917-16928
    • Shiraishi, F.1    Savageau, M.A.2
  • 12
    • 84890122875 scopus 로고    scopus 로고
    • A. Ferreira. (2000). PLAS [Online]. Available: http://enzymology. fc.ul.pt/software
    • (2000) PLAS
    • Ferreira, A.1
  • 16
    • 0000835942 scopus 로고
    • Numerical differentiation of analytic functions
    • J. N. Lyness and C. B. Moler, "Numerical differentiation of analytic functions," SIAM J. Numerical Anal., vol. 4, no. 2, pp. 202-210, 1967.
    • (1967) SIAM J. Numerical Anal. , vol.4 , Issue.2 , pp. 202-210
    • Lyness, J.N.1    Moler, C.B.2
  • 17
    • 0019706535 scopus 로고
    • Numerical differentiation of analytic functions
    • B. Fornberg, "Numerical differentiation of analytic functions," ACM Trans. Math. Softw., vol. 7, pp. 542-547, 1981.
    • (1981) ACM Trans. Math. Softw. , vol.7 , pp. 542-547
    • Fornberg, B.1
  • 18
    • 0032014469 scopus 로고    scopus 로고
    • Using complex variables to estimate derivatives of real functions
    • W. Squire and G. Trapp, "Using complex variables to estimate derivatives of real functions," SIAMRev., vol. 40, no. 1, pp. 110-112, 1998.
    • (1998) SIAMRev. , vol.40 , Issue.1 , pp. 110-112
    • Squire, W.1    Trapp, G.2
  • 19
    • 34547122015 scopus 로고    scopus 로고
    • A simple and highly accurate numerical differentiation method for sensitivity analysis of large-scale metabolic reaction systems
    • F. Shiraishi, S. Furuta, T. Ishimatsu, and J. Akhter, "A simple and highly accurate numerical differentiation method for sensitivity analysis of large-scale metabolic reaction systems," Math. Biosci., vol. 208, pp. 590-606, 2007.
    • (2007) Math. Biosci. , vol.208 , pp. 590-606
    • Shiraishi, F.1    Furuta, S.2    Ishimatsu, T.3    Akhter, J.4
  • 20
    • 85012694370 scopus 로고
    • The behavior of intact biochemical control systems
    • M. A. Savageau, "The behavior of intact biochemical control systems," Current Topics Cellular Regulation, vol. 6, pp. 63-129, 1972.
    • (1972) Current Topics Cellular Regulation , vol.6 , pp. 63-129
    • Savageau, M.A.1
  • 22
    • 84902000711 scopus 로고    scopus 로고
    • Coarse but efficient identification of metabolic pathway systems
    • M. Iwata, F. Shiraishi, and E. O. Voit, "Coarse but efficient identification of metabolic pathway systems," Int. J. Syst. Biol., vol. 4, no. 1, pp. 57-72, 2013.
    • (2013) Int. J. Syst. Biol. , vol.4 , Issue.1 , pp. 57-72
    • Iwata, M.1    Shiraishi, F.2    Voit, E.O.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.