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Volumn 8, Issue 12, 2008, Pages 4299-4304

Stochastic analysis of stepwise fluorescence quenching reactions on single-walled carbon nanotubes: Single molecule sensors

Author keywords

[No Author keywords available]

Indexed keywords

ADSORPTION EQUILIBRIUM CONSTANTS; CELL SCAFFOLDS; COLLAGEN FILMS; CONCENTRATION OF; DWELL TIME; ELECTRON TRANSFERS; FLUORESCENCE QUENCHING; HIDDEN MARKOV MODELING; LIVING CELLS; MOLECULAR ADSORPTIONS; NANOTUBE SURFACES; PHOTOGENERATED EXCITONS; QUENCHING RATE CONSTANTS; REACTANT MOLECULES; REDOX POTENTIALS; SINGLE MOLECULES; STOCHASTIC ANALYSIS;

EID: 61649104196     PISSN: 15306984     EISSN: None     Source Type: Journal    
DOI: 10.1021/nl802010z     Document Type: Article
Times cited : (76)

References (40)
  • 35
    • 33645429016 scopus 로고    scopus 로고
    • There are two mathematical approaches in describing one chemical reaction: the deterministic approach, which considers the reaction as a continuous and predictable process governed by a set of coupled ordinary differential equations, and the stochastic approach, which considers the reaction as a random-walk process governed by a single differential equation. Gillespie, D. T. J. Phys. Chem. 1977, 81, 2340-2361.
    • (a) There are two mathematical approaches in describing one chemical reaction: the deterministic approach, which considers the reaction as a continuous and predictable process governed by a set of coupled ordinary differential equations, and the stochastic approach, which considers the reaction as a random-walk process governed by a single differential equation. Gillespie, D. T. J. Phys. Chem. 1977, 81, 2340-2361.
  • 36
    • 33645429016 scopus 로고    scopus 로고
    • In the stochastic approach, a reaction can be numerically simulated using the Monte Carlo procedure without approximating infinitesimal time increments by finite time steps. Because of this, the stochastic approach has a firmer physical basis than the deterministic approach. From a practical numerical point, the stochastic rate constant and the deterministic rate constant differ by only two simple constant factors. Gillespie, D. T. J. Phys. Chem. 1977, 81, 2340-2361
    • (b) In the stochastic approach, a reaction can be numerically simulated using the Monte Carlo procedure without approximating infinitesimal time increments by finite time steps. Because of this, the stochastic approach has a firmer physical basis than the deterministic approach. From a practical numerical point, the stochastic rate constant and the deterministic rate constant differ by only two simple constant factors. Gillespie, D. T. J. Phys. Chem. 1977, 81, 2340-2361.
  • 37
    • 61649115483 scopus 로고    scopus 로고
    • We use the stochastic approach, and thus, the rate constants are stochastic rate constants in this work
    • (c) We use the stochastic approach, and thus, the rate constants are stochastic rate constants in this work.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.