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 | 27 | 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 | 15 | 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 | 13 | 2018 |
Information processing by endoplasmic reticulum stress sensors W Stroberg, J Eilertsen, S Schnell Journal of the Royal Society Interface 16 (158), 20190288, 2019 | 12 | 2019 |
On the anti-quasi-steady-state conditions of enzyme kinetics J Eilertsen, S Schnell, S Walcher Mathematical Biosciences 350, 108870, 2022 | 11 | 2022 |
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 |
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 : The Origin and Validity of Quasi-Steady-State Reductions in Enzyme Kinetics 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 583, 111770, 2024 | 2 | 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 Bulletin of Mathematical Biology 86 (6), 1-13, 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 |