The quasi-steady-state approximations revisited: Timescales, small parameters, singularities, and normal forms in enzyme kinetics J Eilertsen, S Schnell
Mathematical biosciences 325, 108339, 2020
26 2020 Characteristic, completion or matching timescales? An analysis of temporary boundaries in enzyme kinetics J Eilertsen, W Stroberg, S Schnell
Journal of theoretical biology 481, 28-43, 2019
14 2019 On the quasi-steady-state approximation in an open Michaelis–Menten reaction mechanism J Eilertsen, MR Roussel, S Schnell, S Walcher
AIMS mathematics 6 (7), 6781, 2021
13 2021 A kinetic analysis of coupled (or auxiliary) enzyme reactions J Eilertsen, S Schnell
Bulletin of Mathematical Biology 80 (12), 3154-3183, 2018
12 2018 A theory of reactant-stationary kinetics for a mechanism of zymogen activation J Eilertsen, W Stroberg, S Schnell
Biophysical chemistry 242, 34-44, 2018
11 2018 On the anti-quasi-steady-state conditions of enzyme kinetics J Eilertsen, S Schnell, S Walcher
Mathematical Biosciences 350, 108870, 2022
10 2022 Information processing by endoplasmic reticulum stress sensors W Stroberg, J Eilertsen, S Schnell
Journal of the Royal Society Interface 16 (158), 20190288, 2019
10 2019 Asymptotically exact codimension-four dynamics and bifurcations in two-dimensional thermosolutal convection at high thermal Rayleigh number: Chaos from a quasi-periodic … JS Eilertsen, JF Magnan
Physica D: Nonlinear Phenomena 382, 1-21, 2018
10 2018 Phase-plane geometries in coupled enzyme assays J Eilertsen, W Stroberg, S Schnell
Mathematical biosciences 306, 126-135, 2018
8 2018 On the chaotic dynamics associated with the center manifold equations of double-diffusive convection near a codimension-four bifurcation point at moderate thermal Rayleigh number J Eilertsen, J Magnan
International Journal of Bifurcation and Chaos 28 (08), 1850094, 2018
8 2018 Stochastic enzyme kinetics and the quasi-steady-state reductions: Application of the slow scale linear noise approximation à la Fenichel J Eilertsen, K Srivastav, S Schnell
Journal of Mathematical Biology 85 (1), 1-27, 2022
5 2022 Natural parameter conditions for singular perturbations of chemical and biochemical reaction networks J Eilertsen, S Schnell, S Walcher
Bulletin of Mathematical Biology 85 (6), 48, 2023
3 2023 Hunting J Eilertsen, MA Tyczynska, S Schnell
SIAM Journal on Applied Dynamical Systems 20 (4), 2450-2481, 2021
3 2021 The unreasonable effectiveness of the total quasi-steady state approximation, and its limitations J Eilertsen, S Schnell, S Walcher
Journal of Theoretical Biology, 111770, 2024
1 2024 On the Validity of the Stochastic Quasi-Steady-State Approximation in Open Enzyme Catalyzed Reactions: Timescale Separation or Singular Perturbation? J Eilertsen, S Schnell
Bulletin of mathematical biology 84 (1), 7, 2022
1 2022 Steady-State Kinetics of the Autocatalytic Zymogen Activation: A Comparison with the Michaelis-Menten Reaction Mechanism M Tyczynska, J Eilertsen, S Schnell
1 2019 Rigorous estimates for the quasi-steady state approximation of the Michaelis–Menten reaction mechanism at low enzyme concentrations J Eilertsen, S Schnell, S Walcher
Nonlinear Analysis: Real World Applications 78, 104088, 2024
2024 The Michaelis--Menten reaction at low substrate concentrations: Pseudo-first-order kinetics and conditions for timescale separation J Eilertsen, S Schnell, S Walcher
arXiv preprint arXiv:2403.05507, 2024
2024 On the role of eigenvalue disparity and coordinate transformations in the reduction of the linear noise approximation J Eilertsen, W Stroberg
arXiv preprint arXiv:2305.13348, 2023
2023 Theory of the reactant-stationary kinetics for zymogen activation coupled to an enzyme catalyzed reaction J Eilertsen, W Stroberg, S Schnell
2018 