-
1
-
-
0002831736
-
Prolegomena to the rational analysis of chemical reactions
-
Aris R (1965) Prolegomena to the rational analysis of chemical reactions. Arch Ration Mech Anal 19(2): 81-99.
-
(1965)
Arch Ration Mech Anal
, vol.19
, Issue.2
, pp. 81-99
-
-
Aris, R.1
-
2
-
-
0000416179
-
Singular perturbation refinement to quasi-steady state approximation in chemical kinetics
-
Acrivos A, Bowen J, Oppenheim A (1963) Singular perturbation refinement to quasi-steady state approximation in chemical kinetics. Chem Eng Sci 18: 177-188.
-
(1963)
Chem Eng Sci
, vol.18
, pp. 177-188
-
-
Acrivos, A.1
Bowen, J.2
Oppenheim, A.3
-
4
-
-
0001034113
-
The steady state and equilibrium approximations: A geometrical picture
-
Fraser SJ (1988) The steady state and equilibrium approximations: a geometrical picture. J Chem Phys 88: 4732.
-
(1988)
J Chem Phys
, vol.88
, pp. 4732
-
-
Fraser, S.J.1
-
5
-
-
21444438810
-
A stochastic analysis of first-order reaction networks
-
Gadgil C, Lee CH, Othmer HG (2005) A stochastic analysis of first-order reaction networks. Bull Math Biol 67: 901-946.
-
(2005)
Bull Math Biol
, vol.67
, pp. 901-946
-
-
Gadgil, C.1
Lee, C.H.2
Othmer, H.G.3
-
7
-
-
0242488084
-
Method of invariant manifold for chemical kinetics
-
Gorban AN, Karlin IV (2003) Method of invariant manifold for chemical kinetics. Chem Eng Sci 58(21): 4751-4768.
-
(2003)
Chem Eng Sci
, vol.58
, Issue.21
, pp. 4751-4768
-
-
Gorban, A.N.1
Karlin, I.V.2
-
8
-
-
33644500803
-
An efficient iterative algorithm for the approximation of the fast and slow dynamics of stiff systems
-
Goussis DA, Valorani M (2006) An efficient iterative algorithm for the approximation of the fast and slow dynamics of stiff systems. J Comput Phys 214(1): 316-346.
-
(2006)
J Comput Phys
, vol.214
, Issue.1
, pp. 316-346
-
-
Goussis, D.A.1
Valorani, M.2
-
9
-
-
0037109565
-
Approximate simulation of coupled fast and slow reactions for stochastic chemical kinetics
-
Haseltine EL, Rawlings JB (2002) Approximate simulation of coupled fast and slow reactions for stochastic chemical kinetics. J Chem Phys 117(15): 6959.
-
(2002)
J Chem Phys
, vol.117
, Issue.15
, pp. 6959
-
-
Haseltine, E.L.1
Rawlings, J.B.2
-
10
-
-
0002595354
-
On the mathematical status of the pseudo-steady state hypothesis of biochemical kinetics
-
Heineken F, Tsuchiya H, Aris R (1967) On the mathematical status of the pseudo-steady state hypothesis of biochemical kinetics. Math Biosci 1: 95-113.
-
(1967)
Math Biosci
, vol.1
, pp. 95-113
-
-
Heineken, F.1
Tsuchiya, H.2
Aris, R.3
-
11
-
-
0015489310
-
Necessary and sufficient conditions for complex balancing in chemical kinetics
-
Horn F (1972) Necessary and sufficient conditions for complex balancing in chemical kinetics. Arch Ration Mech Anal 49(3): 172-186.
-
(1972)
Arch Ration Mech Anal
, vol.49
, Issue.3
, pp. 172-186
-
-
Horn, F.1
-
13
-
-
0020209674
-
Steady/equilibrium approximation in relaxation and fluctuation
-
Kijma H, Kijima S (1982) Steady/equilibrium approximation in relaxation and fluctuation. Biophys Chem 16: 181-192.
-
(1982)
Biophys Chem
, vol.16
, pp. 181-192
-
-
Kijma, H.1
Kijima, S.2
-
14
-
-
33947472850
-
A schematic method of deriving the rate laws for enzyme-catalyzed reactions
-
King EL, 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
-
15
-
-
0010449215
-
On the mechanism of the inhibition of Urease
-
Kistiakowsky GB, Shaw WHR (1953) On the mechanism of the inhibition of Urease. J Am Chem Soc 75(4): 866-871.
-
(1953)
J Am Chem Soc
, vol.75
, Issue.4
, pp. 866-871
-
-
Kistiakowsky, G.B.1
Shaw, W.H.R.2
-
17
-
-
0027138255
-
Using CSP to understand complex chemical kinetics
-
Lam SH (1993) Using CSP to understand complex chemical kinetics. Combust Sci Technol 89(5): 375-404.
-
(1993)
Combust Sci Technol
, vol.89
, Issue.5
, pp. 375-404
-
-
Lam, S.H.1
-
18
-
-
0028407615
-
The CSP method for simplifying kinetics
-
Lam SH, Goussis DA (1994) The CSP method for simplifying kinetics. Int J Chem Kinet 26(4): 461-486.
-
(1994)
Int J Chem Kinet
, vol.26
, Issue.4
, pp. 461-486
-
-
Lam, S.H.1
Goussis, D.A.2
-
19
-
-
0642376405
-
Mathematics applied to deterministic problems in the natural sciences
-
Lin CC, Segel LA (1988) Mathematics applied to deterministic problems in the natural sciences. SIAM.
-
(1988)
SIAM
-
-
Lin, C.C.1
Segel, L.A.2
-
20
-
-
0026833045
-
Simplifying chemical kinetics: Intrinsic low-dimensional manifolds in composition space
-
Maas U, Pope SB (1992) Simplifying chemical kinetics: intrinsic low-dimensional manifolds in composition space. Combust Flame 88(3-4): 239-264.
-
(1992)
Combust Flame
, vol.88
, Issue.3-4
, pp. 239-264
-
-
Maas, U.1
Pope, S.B.2
-
21
-
-
0017252665
-
Nonuniqueness of equilibria in closed reacting systems
-
Othmer HG (1976) Nonuniqueness of equilibria in closed reacting systems. Chem Eng Sci 31: 993-1003.
-
(1976)
Chem Eng Sci
, vol.31
, pp. 993-1003
-
-
Othmer, H.G.1
-
23
-
-
0342446262
-
The interaction of structure and dynamics in chemical reaction networks
-
K. H. Ebert, P. Deuflhard, and W. Jager (Eds.), New York: Springer
-
Othmer HG (1981) The interaction of structure and dynamics in chemical reaction networks. In: Ebert KH, Deuflhard P, Jager W (eds) Modelling of chemical reaction systems. Springer, New York, pp 1-19.
-
(1981)
Modelling of Chemical Reaction Systems
, pp. 1-19
-
-
Othmer, H.G.1
-
24
-
-
0017893644
-
The effects of cell density and metabolite flux on cellular dynamics
-
Othmer HG, Aldridge JA (1978) The effects of cell density and metabolite flux on cellular dynamics. J Math Biol 5: 169-200.
-
(1978)
J Math Biol
, vol.5
, pp. 169-200
-
-
Othmer, H.G.1
Aldridge, J.A.2
-
25
-
-
0016211761
-
The hierarchical structure of metabolic networks and the construction of efficient metabolic simulators
-
Park DJ (1974) The hierarchical structure of metabolic networks and the construction of efficient metabolic simulators. J Theor Biol 46(1): 31-74.
-
(1974)
J Theor Biol
, vol.46
, Issue.1
, pp. 31-74
-
-
Park, D.J.1
-
26
-
-
36849102494
-
Symmetry breaking instabilities in dissipative structures
-
Prigogine I, Lefever R (1968) Symmetry breaking instabilities in dissipative structures. J Chem Phys 48: 1695-1700.
-
(1968)
J Chem Phys
, vol.48
, pp. 1695-1700
-
-
Prigogine, I.1
Lefever, R.2
-
27
-
-
0036400749
-
Stochastic versus deterministic modeling of intracellular viral kinetics
-
Srivastava JSR, You L, Yin J (2002) Stochastic versus deterministic modeling of intracellular viral kinetics. J Theor Biol 218: 309-321.
-
(2002)
J Theor Biol
, vol.218
, pp. 309-321
-
-
Srivastava, J.S.R.1
You, L.2
Yin, J.3
-
28
-
-
0001149179
-
Geometry of the steady-state approximation: Perturbation and accelerated convergence methods
-
Roussel MR, Fraser SJ (1990) Geometry of the steady-state approximation: Perturbation and accelerated convergence methods. J Chem Phys 93: 1072.
-
(1990)
J Chem Phys
, vol.93
, pp. 1072
-
-
Roussel, M.R.1
Fraser, S.J.2
-
29
-
-
0001436528
-
On the geometry of transient relaxation
-
Roussel MR, Fraser SJ (1991) On the geometry of transient relaxation. J Chem Phys 94: 7106.
-
(1991)
J Chem Phys
, vol.94
, pp. 7106
-
-
Roussel, M.R.1
Fraser, S.J.2
-
31
-
-
73249141817
-
The quasi-steady-state assumption: A case study in perturbation
-
Segel LA, Slemrod M (1982) The quasi-steady-state assumption: a case study in perturbation. Biophys Chem 16: 181-192.
-
(1982)
Biophys Chem
, vol.16
, pp. 181-192
-
-
Segel, L.A.1
Slemrod, M.2
-
32
-
-
0041631750
-
A chemical kinetics computer program for homogeneous and free-radical systems of reactions
-
Snow RH (1966) A chemical kinetics computer program for homogeneous and free-radical systems of reactions. J Phys Chem 70(9): 2780-2786.
-
(1966)
J Phys Chem
, vol.70
, Issue.9
, pp. 2780-2786
-
-
Snow, R.H.1
-
33
-
-
0000415561
-
Quasi-steady-state approximation for chemical reaction networks
-
Stiefenhofer M (1998) Quasi-steady-state approximation for chemical reaction networks. J Math Biol 36: 593-609.
-
(1998)
J Math Biol
, vol.36
, pp. 593-609
-
-
Stiefenhofer, M.1
-
34
-
-
0000559545
-
Systems of differential equations containing small parameters in the derivatives
-
Tikhonov AN (1952) Systems of differential equations containing small parameters in the derivatives. Matematicheskii Sbornik 73(3): 575-586.
-
(1952)
Matematicheskii Sbornik
, vol.73
, Issue.3
, pp. 575-586
-
-
Tikhonov, A.N.1
-
35
-
-
33745458129
-
An automatic procedure for the simplification of chemical kinetic mechanisms based on CSP
-
Valorani M, Creta F, Goussis DA, Lee JC, Najm HN (2006) An automatic procedure for the simplification of chemical kinetic mechanisms based on CSP. Combust Flame 146(1-2): 29-51.
-
(2006)
Combust Flame
, vol.146
, Issue.1-2
, pp. 29-51
-
-
Valorani, M.1
Creta, F.2
Goussis, D.A.3
Lee, J.C.4
Najm, H.N.5
-
36
-
-
26844496720
-
Fast and slow dynamics for the computational singular perturbation method
-
Kaper ZA, Kaper TJ (2004) Fast and slow dynamics for the computational singular perturbation method. Multiscale Model Simul 2(4): 613-638.
-
(2004)
Multiscale Model Simul
, vol.2
, Issue.4
, pp. 613-638
-
-
Kaper, Z.A.1
Kaper, T.J.2
-
37
-
-
21444441204
-
Analysis of the computational singular perturbation reduction method for chemical kinetics
-
Zagaris A, Kaper HG, Kaper TJ (2004) Analysis of the computational singular perturbation reduction method for chemical kinetics. J Nonlinear Sci 14(1): 59-91.
-
(2004)
J Nonlinear Sci
, vol.14
, Issue.1
, pp. 59-91
-
-
Zagaris, A.1
Kaper, H.G.2
Kaper, T.J.3
|