Legitimacy of the stochastic Michaelis-Menten approximation

IET Systems Biology

Volumn 5, Issue 1, 2011, Pages 58-69

  Sanft, K R ^a   Gillespie, D T ^b   Petzold, L R ^a  

^a Santa Barbara   (United States)

^b Dan T Gillespie Consulting   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BIOCHEMICAL MODEL; BIOCHEMICAL SYSTEMS; COMMONLY USED; DIFFERENTIAL EQUATION MODEL; DISCRETE STOCHASTIC MODELS; FIRST-PASSAGE; MICHAELIS-MENTEN; MICHAELIS-MENTEN KINETIC; SMALL CONCENTRATION; STOCHASTIC REPRESENTATIONS; STOCHASTIC SIMULATION ALGORITHMS; THEORETICAL FRAMEWORK;

APPROXIMATION ALGORITHMS; DIFFERENTIAL EQUATIONS; STOCHASTIC SYSTEMS;

STOCHASTIC MODELS;

ENZYME;

ALGORITHM; CHEMICAL MODEL; KINETICS; MARKOV CHAIN; METABOLISM; THEORETICAL MODEL;

ALGORITHMS; ENZYMES; KINETICS; MODELS, CHEMICAL; MODELS, THEORETICAL; STOCHASTIC PROCESSES;

EID: 78751699907     PISSN: 17518849     EISSN: None     Source Type: Journal    
DOI: 10.1049/iet-syb.2009.0057     Document Type: Article

References (11)

1. Nelson, D.L., and Cox, M.M.: 'Lehninger principles of biochemistry', 4th(Freeman 2005)
2. Michaelis, L., and Menten, M.L.: 'Die kinetik der invertinwirkung', Biochem. Z., 1913, 49, p. 333-369
3. Gonze, D., Halloy, J., and Goldbeter, A.: 'Deterministic versus stochastic models for circadian rhythms', J. Biol. Phys., 2002, 28, p. 637-65310.1023/A:1021286607354 0092-0606
4. Rao, C.V., and Arkin, A.: 'Stochastic chemical kinetics and the quasi-steady-state assumption: application to the Gillespie algorithm', J. Chem. Phys., 2003, 118, p. 4999-501010.1063/1.1545446 0021-9606
5. Mastny, E.A., Haseltine, E.L., and Rawlings, J.B.: 'Two classes of quasi-steady-state model reductions for stochastic kinetics', J. Chem. Phys., 2007, 127, p. 09410610.1063/1.2764480 0021-9606
6. Cao, Y., Gillespie, D.T., and Petzold, L.R.: 'The slow-scale stochastic simulation algorithm', J. Chem. Phys., 2005, 122, p. 01411610.1063/1.1824902 0021-9606
7. Cao, Y., Gillespie, D.T., and Petzold, L.R.: 'Accelerated stochastic simulation of the stiff enzyme-substrate reaction', J. Chem. Phys., 2005, 123, p. 14491710.1063/1.2052596 0021-9606
8. Gillespie, D.T., Cao, Y., Sanft, K.R., and Petzold, L.R.: 'The subtle business of model reduction for stochastic chemical kinetics', J. Chem. Phys., 2009, 130, p. 06410310.1063/1.3072704 0021-9606
9. Segel, L.A., and Slemrod, M.: 'The quasi-steady-state assumption: a case study in perturbation', SIAM Rev., 1989, 31, p. 446-47710.1137/1031091 0036-1445
10. Gillespie, D.T.: 'Exact stochastic simulation of coupled chemical reactions', J. Phys. Chem., 1977, 81, p. 2340-236110.1021/j100540a008 0022-3654
11. Gillespie, D.T.: 'Stochastic simulation of chemical kinetics', Annu. Rev. Phys. Chem., 2007, 58, p. 35-5510.1146/annurev.physchem.58.032806.104637