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Volumn 9, Issue SUPPL. 12, 2008, Pages

Dynamic sensitivity analysis of biological systems

Author keywords

[No Author keywords available]

Indexed keywords

CLASSICAL DYNAMICS; DYNAMIC SENSITIVITY; DYNAMIC SENSITIVITY ANALYSIS; FED-BATCH FERMENTATION; INDEPENDENT VARIABLES; INFINITE DIMENSIONS; NONLINEAR ORDINARY DIFFERENTIAL EQUATION; SENSITIVITY EQUATIONS; ADAPTIVE STEP SIZE; DIRECT METHOD; DYNAMIC BEHAVIORS; DYNAMIC PARAMETERS; FEED-RATES; INDIRECT METHODS; MODEL EQUATIONS; REALISTIC MODEL; STEP SIZE; STIFF ODE SYSTEMS; STIFF PROBLEM; SYSTEMS BIOLOGY; TIME VARYING; TIME-DEPENDENT;

EID: 57649187965     PISSN: None     EISSN: 14712105     Source Type: Journal    
DOI: 10.1186/1471-2105-9-S12-S17     Document Type: Conference Paper
Times cited : (37)

References (34)
  • 1
    • 0023329035 scopus 로고
    • A New Theoretical Approach to Runge-Kutta Methods
    • 10.1137/0724030
    • Albrecht P: A New Theoretical Approach to Runge-Kutta Methods. SIAM Journal on Numerical Analysis 1987, 24:391-406. 10.1137/0724030
    • (1987) SIAM Journal on Numerical Analysis , vol.24 , pp. 391-406
    • Albrecht, P.1
  • 2
    • 0009619039 scopus 로고    scopus 로고
    • The Runge-Kutta Theory in a Nutshell
    • 10.1137/S0036142994260872
    • Albrecht P: The Runge-Kutta Theory in a Nutshell. SIAM Journal on Numerical Analysis 1996, 33:1712-1735. 10.1137/S0036142994260872
    • (1996) SIAM Journal on Numerical Analysis , vol.33 , pp. 1712-1735
    • Albrecht, P.1
  • 3
    • 0032266434 scopus 로고    scopus 로고
    • A comparison of numerical ODE solvers based on Euler methods
    • Inc M Bildik N Bulut H: A comparison of numerical ODE solvers based on Euler methods. Math Comput Appl 1998, 3:153-159.
    • (1998) Math Comput Appl , vol.3 , pp. 153-159
    • Inc, M.1    Bildik, N.2    Bulut, H.3
  • 5
    • 0000904149 scopus 로고
    • Solution of boundary-value problems by orthogonal collocation
    • 10.1016/0009-2509(67)80074-5
    • Villadsen JV Stewart WE: Solution of boundary-value problems by orthogonal collocation. Chem Eng Sci 1967, 22:1483-1501. 10.1016/ 0009-2509(67)80074-5
    • (1967) Chem Eng Sci , vol.22 , pp. 1483-1501
    • Villadsen, J.V.1    Stewart, W.E.2
  • 6
    • 0034547980 scopus 로고    scopus 로고
    • A modified collocation method for solving differential-algebraic equations
    • 10.1016/S0096-3003(99)00138-1
    • Wang FS: A modified collocation method for solving differential-algebraic equations. Applied Mathematics and Computation 2000, 116:257-278. 10.1016/S0096-3003(99)00138-1
    • (2000) Applied Mathematics and Computation , vol.116 , pp. 257-278
    • Wang, F.S.1
  • 7
    • 0015231849 scopus 로고
    • Parameter sensitivity as a criterion for evaluating and comparing the performance of biochemical systems
    • 10.1038/229542a0 4925348
    • Savageau MA: Parameter sensitivity as a criterion for evaluating and comparing the performance of biochemical systems. Nature 1971, 229:542-544. 10.1038/229542a0 4925348
    • (1971) Nature , vol.229 , pp. 542-544
    • Savageau, M.A.1
  • 8
    • 85012694370 scopus 로고
    • The behavior of intact biochemical control systems
    • Savageau MA: The behavior of intact biochemical control systems. Current Topics in Cellular Regulation 1972, 6:63-129.
    • (1972) Current Topics in Cellular Regulation , vol.6 , pp. 63-129
    • Savageau, M.A.1
  • 12
    • 0026802334 scopus 로고
    • Metabolic control analysis: A survey of its theoretical and experimental development
    • 1132899 1530563
    • Fell DA: Metabolic conArol analysis: a survey of its theoretical and experimental development. Biochem J 1992, 286:313-330. 1132899 1530563
    • (1992) Biochem J , vol.286 , pp. 313-330
    • Fell, D.A.1
  • 14
    • 0021940614 scopus 로고
    • Sensitivity Analysis of Initial Value Problems with Mixed Ode's and Algebraic Equations
    • 10.1016/0098-1354(85)85014-6
    • Caracotsios M Stewart WE: Sensitivity Analysis of Initial Value Problems with Mixed Ode's and Algebraic Equations. Comput Chem Eng 1985, 9:359-365. 10.1016/0098-1354(85)85014-6
    • (1985) Comput Chem Eng , vol.9 , pp. 359-365
    • Caracotsios, M.1    Stewart, W.E.2
  • 15
    • 0001178163 scopus 로고
    • The decoupled direct method for calculating sensitivities coefficients in chemical kinetics
    • 10.1063/1.447938
    • Dunker AM: The decoupled direct method for calculating sensitivities coefficients in chemical kinetics. J Chem Phys 1984, 81:2385-2393. 10.1063/1.447938
    • (1984) J Chem Phys , vol.81 , pp. 2385-2393
    • Dunker, A.M.1
  • 16
    • 36749106262 scopus 로고
    • Further developments and applications of the Green's function method of sensitivity analysis in chemical kinetics
    • 10.1063/1.438530
    • Dougherty EP Hwang JT Rabitz H: Further developments and applications of the Green's function method of sensitivity analysis in chemical kinetics. J Chem Phys 1979, 71:1794-1808. 10.1063/1.438530
    • (1979) J Chem Phys , vol.71 , pp. 1794-1808
    • Dougherty, E.P.1    Hwang, J.T.2    Rabitz, H.3
  • 17
    • 0001693451 scopus 로고
    • Sensitivity analysis of ordinary differential equation systems. A direct method
    • 10.1016/0021-9991(76)90007-3
    • Dickinson RP Gelinas RJ: Sensitivity analysis of ordinary differential equation systems. A direct method. J Comput Phys 1976, 21:123-143. 10.1016/0021-9991(76)90007-3
    • (1976) J Comput Phys , vol.21 , pp. 123-143
    • Dickinson, R.P.1    Gelinas, R.J.2
  • 18
    • 0023977978 scopus 로고
    • The simultaneous solution and sensitivity analysis of systems described by ordinary differential equations
    • 10.1145/42288.46156
    • Leis JR Kramer MA: The simultaneous solution and sensitivity analysis of systems described by ordinary differential equations. ACM Trans Math Softw 1988, 14:45-60. 10.1145/42288.46156
    • (1988) ACM Trans Math Softw , vol.14 , pp. 45-60
    • Leis, J.R.1    Kramer, M.A.2
  • 19
    • 0031214207 scopus 로고    scopus 로고
    • Dynamic sensitivity analysis for metabolic systems
    • 10.1016/S0009-2509(97)00075-4
    • Mauch K Arnold S Reuss M: Dynamic sensitivity analysis for metabolic systems. Chemical Engineering Science 1997, 52:2589-2598. 10.1016/ S0009-2509(97)00075-4
    • (1997) Chemical Engineering Science , vol.52 , pp. 2589-2598
    • Mauch, K.1    Arnold, S.2    Reuss, M.3
  • 21
    • 0001149435 scopus 로고
    • The Green's function method of sensitivity analysis in chemical kinetics
    • 10.1063/1.436465
    • Hwang JT Dougherty EP Rabitz S Rabitz H: The Green's function method of sensitivity analysis in chemical kinetics. J Chem Phys 1978, 69:5180-5191. 10.1063/1.436465
    • (1978) J Chem Phys , vol.69 , pp. 5180-5191
    • Hwang, J.T.1    Dougherty, E.P.2    Rabitz, S.3    Rabitz, H.4
  • 22
    • 0037466509 scopus 로고    scopus 로고
    • Sensitivity analysis of stoichiometric networks: An extension of metabolic control analysis to non-steady state trajectories
    • 10.1016/S0022-5193(03)00011-0 12699732
    • Ingalls BP Sauro HM: Sensitivity analysis oA stoichiometric networks: an extension of metabolic control analysis to non-steady state trajectories. Journal of Theoretical Biology 2003, 222:23-36. 10.1016/ S0022-5193(03)00011-0 12699732
    • (2003) Journal of Theoretical Biology , vol.222 , pp. 23-36
    • Ingalls, B.P.1    Sauro, H.M.2
  • 23
    • 0005257079 scopus 로고    scopus 로고
    • A direct method of calculating sensitivity coefficients of chemical kinetics
    • Shen J: A direct method of calculating sensitivity coefficients of chemical kinetics. J Chem Phys 1999, 111:7209-7214. 10.1063/1.480049
    • (1999) J Chem Phys , vol.111 , pp. 7209-7214
    • Shen, J.1
  • 24
    • 33645091201 scopus 로고    scopus 로고
    • Automated sensitivity analysis of stiff biochemical systems using a fourth-order adaptive step size Rosenbrok integration method
    • 10.1049/ip-syb:20050058
    • Zou R Ghosh A: Automated sensitivity analysis of stiff biochemical systems using a fourth-order adaptive step size Rosenbrok integration method. AIEE Proc Sys Biol 2006, 153:79-90. 10.1049/ip-syb:20050058
    • (2006) AIEE Proc Sys Biol , vol.153 , pp. 79-90
    • Zou, R.1    Ghosh, A.2
  • 25
    • 0037170719 scopus 로고    scopus 로고
    • A Taylor-series solution in Cartesian space to GMA-system equations and its application to initial-value problems
    • 10.1016/S0096-3003(01)00007-8
    • Shiraishi F Takeuchi H Hasegawa T Nagasue H: A Taylor-series solution in Cartesian space to GMA-system equations and its application to initial-value problems. Applied Mathematics and Computation 2002, 127:103-123. 10.1016/S0096-3003(01)00007-8
    • (2002) Applied Mathematics and Computation , vol.127 , pp. 103-123
    • Shiraishi, F.1    Takeuchi, H.2    Hasegawa, T.3    Nagasue, H.4
  • 26
    • 13844253731 scopus 로고    scopus 로고
    • An efficient method for calculation of dynamic logrithmic gains in biochemical systems theory
    • 10.1016/j.jtbi.2004.11.015 15721037
    • Shiraishi F Hatoh Y Irie T: An efficient method for calculation of dynamic logrithmic gains in biochemical systems theory. Journal of Theoretical Biology 2005, 234:79-85. 10.1016/j.jtbi.2004.11.015 15721037
    • (2005) Journal of Theoretical Biology , vol.234 , pp. 79-85
    • Shiraishi, F.1    Hatoh, Y.2    Irie, T.3
  • 27
    • 25144516951 scopus 로고
    • The parameterization method for optimal control problems
    • Gorbunov VK: The parameterization method for optimal control problems. Comput Math Math Phys 1979, 19:212-224.
    • (1979) Comput Math Math Phys , vol.19 , pp. 212-224
    • Gorbunov, V.K.1
  • 28
    • 25144440894 scopus 로고    scopus 로고
    • The parameterization method in optimal control problems and differential-algebraic equations
    • 10.1016/j.cam.2005.03.017
    • Gorbunov VK Lutoshkin IV: The parameterization method in optimal control problems and differential-algebraic equations. Journal of Computational and Applied Mathematics 2006, 185:377-390. 10.1016/j.cam.2005.03.017
    • (2006) Journal of Computational and Applied Mathematics , vol.185 , pp. 377-390
    • Gorbunov, V.K.1    Lutoshkin, I.V.2
  • 29
    • 33646145940 scopus 로고    scopus 로고
    • Control parameterization enhancing transform for optimal control of switched systems
    • 10.1016/j.mcm.2005.08.012
    • Li R Teo KL Wong KH Duan GR: Control parameterization enhancing transform for optimal control of switched systems. Mathematical and Computer Modelling 2006, 43:1393-1403. 10.1016/j.mcm.2005.08.012
    • (2006) Mathematical and Computer Modelling , vol.43 , pp. 1393-1403
    • Li, R.1    Teo, K.L.2    Wong, K.H.3    Duan, G.R.4
  • 30
    • 0001056786 scopus 로고    scopus 로고
    • The control parameterization enhancing transform for constrained optimal control problems
    • Teo KL Jennings LS Lee HW Rehbock V: The control parameterization enhancing transform for constrained optimal control problems. J Austral Math Soc Ser B 1999, 40:314-335.
    • (1999) J Austral Math Soc Ser B , vol.40 , pp. 314-335
    • Teo, K.L.1    Jennings, L.S.2    Lee, H.W.3    Rehbock, V.4
  • 31
    • 0035958144 scopus 로고    scopus 로고
    • Hybrid differential evolution for problems of kinetic parameter estimation and dynamic optimization of an ethanol fermentation process
    • 10.1021/ie000544+
    • Wang FS Su TL Jang HJ: Hybrid differential evolution for problems of kinetic parameter estimation and dynamic optimization of an ethanol fermentation process. Ind Eng Chem Res 2001, 40:2876-2885. 10.1021/ ie000544+
    • (2001) Ind Eng Chem Res , vol.40 , pp. 2876-2885
    • Wang, F.S.1    Su, T.L.2    Jang, H.J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.