BIOMARKERS

Molecular Biopsy of Human Tumors

- a resource for Precision Medicine *

154 related articles for article (PubMed ID: 34825985)

  • 1. On the Validity of the Stochastic Quasi-Steady-State Approximation in Open Enzyme Catalyzed Reactions: Timescale Separation or Singular Perturbation?
    Eilertsen J; Schnell S
    Bull Math Biol; 2021 Nov; 84(1):7. PubMed ID: 34825985
    [TBL] [Abstract][Full Text] [Related]  

  • 2. Stochastic enzyme kinetics and the quasi-steady-state reductions: Application of the slow scale linear noise approximation à la Fenichel.
    Eilertsen J; Srivastava K; Schnell S
    J Math Biol; 2022 Jul; 85(1):3. PubMed ID: 35776210
    [TBL] [Abstract][Full Text] [Related]  

  • 3. The quasi-steady-state approximations revisited: Timescales, small parameters, singularities, and normal forms in enzyme kinetics.
    Eilertsen J; Schnell S
    Math Biosci; 2020 Jul; 325():108339. PubMed ID: 32184091
    [TBL] [Abstract][Full Text] [Related]  

  • 4. The slow-scale linear noise approximation: an accurate, reduced stochastic description of biochemical networks under timescale separation conditions.
    Thomas P; Straube AV; Grima R
    BMC Syst Biol; 2012 May; 6():39. PubMed ID: 22583770
    [TBL] [Abstract][Full Text] [Related]  

  • 5. Quasi-Steady-State Approximations Derived from the Stochastic Model of Enzyme Kinetics.
    Kang HW; KhudaBukhsh WR; Koeppl H; Rempała GA
    Bull Math Biol; 2019 May; 81(5):1303-1336. PubMed ID: 30756234
    [TBL] [Abstract][Full Text] [Related]  

  • 6. A Kinetic Analysis of Coupled (or Auxiliary) Enzyme Reactions.
    Eilertsen J; Schnell S
    Bull Math Biol; 2018 Dec; 80(12):3154-3183. PubMed ID: 30288641
    [TBL] [Abstract][Full Text] [Related]  

  • 7. On the quasi-steady-state approximation in an open Michaelis-Menten reaction mechanism.
    Eilertsen J; Roussel MR; Schnell S; Walcher S
    AIMS Math; 2021; 6(7):6781-6814. PubMed ID: 34142000
    [TBL] [Abstract][Full Text] [Related]  

  • 8. Stochastic quasi-steady state approximations for asymptotic solutions of the chemical master equation.
    Alarcón T
    J Chem Phys; 2014 May; 140(18):184109. PubMed ID: 24832255
    [TBL] [Abstract][Full Text] [Related]  

  • 9. The unreasonable effectiveness of the total quasi-steady state approximation, and its limitations.
    Eilertsen J; Schnell S; Walcher S
    J Theor Biol; 2024 Apr; 583():111770. PubMed ID: 38423205
    [TBL] [Abstract][Full Text] [Related]  

  • 10. The Michaelis-Menten Reaction at Low Substrate Concentrations: Pseudo-First-Order Kinetics and Conditions for Timescale Separation.
    Eilertsen J; Schnell S; Walcher S
    Bull Math Biol; 2024 May; 86(6):68. PubMed ID: 38703247
    [TBL] [Abstract][Full Text] [Related]  

  • 11. Legitimacy of the stochastic Michaelis-Menten approximation.
    Sanft KR; Gillespie DT; Petzold LR
    IET Syst Biol; 2011 Jan; 5(1):58. PubMed ID: 21261403
    [TBL] [Abstract][Full Text] [Related]  

  • 12. Stochastic simulation of enzyme-catalyzed reactions with disparate timescales.
    Barik D; Paul MR; Baumann WT; Cao Y; Tyson JJ
    Biophys J; 2008 Oct; 95(8):3563-74. PubMed ID: 18621809
    [TBL] [Abstract][Full Text] [Related]  

  • 13. A theory of reactant-stationary kinetics for a mechanism of zymogen activation.
    Eilertsen J; Stroberg W; Schnell S
    Biophys Chem; 2018 Nov; 242():34-44. PubMed ID: 30218978
    [TBL] [Abstract][Full Text] [Related]  

  • 14. Mathematical modelling of dynamics and control in metabolic networks. I. On Michaelis-Menten kinetics.
    Palsson BO; Lightfoot EN
    J Theor Biol; 1984 Nov; 111(2):273-302. PubMed ID: 6513572
    [TBL] [Abstract][Full Text] [Related]  

  • 15. The total quasi-steady-state approximation is valid for reversible enzyme kinetics.
    Tzafriri AR; Edelman ER
    J Theor Biol; 2004 Feb; 226(3):303-13. PubMed ID: 14643644
    [TBL] [Abstract][Full Text] [Related]  

  • 16. Communication: limitations of the stochastic quasi-steady-state approximation in open biochemical reaction networks.
    Thomas P; Straube AV; Grima R
    J Chem Phys; 2011 Nov; 135(18):181103. PubMed ID: 22088045
    [TBL] [Abstract][Full Text] [Related]  

  • 17. The relationship between stochastic and deterministic quasi-steady state approximations.
    Kim JK; Josić K; Bennett MR
    BMC Syst Biol; 2015 Nov; 9():87. PubMed ID: 26597159
    [TBL] [Abstract][Full Text] [Related]  

  • 18. Two classes of quasi-steady-state model reductions for stochastic kinetics.
    Mastny EA; Haseltine EL; Rawlings JB
    J Chem Phys; 2007 Sep; 127(9):094106. PubMed ID: 17824731
    [TBL] [Abstract][Full Text] [Related]  

  • 19. Reduced models of networks of coupled enzymatic reactions.
    Kumar A; Josić K
    J Theor Biol; 2011 Jun; 278(1):87-106. PubMed ID: 21377474
    [TBL] [Abstract][Full Text] [Related]  

  • 20. The validity of quasi-steady-state approximations in discrete stochastic simulations.
    Kim JK; Josić K; Bennett MR
    Biophys J; 2014 Aug; 107(3):783-793. PubMed ID: 25099817
    [TBL] [Abstract][Full Text] [Related]  

    [Next]    [New Search]
    of 8.