Asymptotic analysis of a target-mediated drug disposition model: algorithmic and traditional approaches
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Publication:312612
DOI10.1007/s11538-016-0176-yzbMath1348.92075OpenAlexW2413977353WikidataQ50631888 ScholiaQ50631888MaRDI QIDQ312612
Dimitris G. Patsatzis, Dimitris T. Maris, Dimitrios A. Goussis
Publication date: 16 September 2016
Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11538-016-0176-y
Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Biochemistry, molecular biology (92C40)
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Cites Work
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- Geometric analysis of the Goldbeter minimal model for the embryonic cell cycle
- Challenges in pharmacology modelling
- Topics in mathematical pharmacology
- Multiple time scale dynamics
- Quasi steady-state approximations in complex intracellular signal transduction networks - a word of caution
- Constraint-defined manifolds: a legacy code approach to low-dimensional computation
- On the validity of the quasi-steady state approximation of bimolecular reactions in solution
- A geometric analysis of fast-slow models for stochastic gene expression
- Perturbation methods in applied mathematics
- Geometric singular perturbation theory for ordinary differential equations
- Mathematical physiology
- Asymptotic analysis of two reduction methods for systems of chemical reactions
- Mathematical analysis of the pharmacokinetic-pharmacodynamic (PKPD) behaviour of monoclonal antibodies: predicting \textit{in vivo} potency
- Analysis of the computational singular perturbation reduction method for chemical kinetics
- The role of slow system dynamics in predicting the degeneracy of slow invariant manifolds: the case of vdP relaxation-oscillations
- Physical understanding of complex multiscale biochemical models via algorithmic simplification: glycolysis in saccharomyces cerevisiae
- Geometric singular perturbation theory in biological practice
- Determining ``small parameters for quasi-steady state
- The ``hidden dynamics of the Rössler attractor
- Methods of small parameter in mathematical biology
- Higher order corrections in the approximation of low-dimensional manifolds and the construction of simplified problems with the CSP method
- An efficient iterative algorithm for the approximation of the fast and slow dynamics of stiff systems
- Algorithmic asymptotic analysis of the NF-\(\kappa\mathrm B\) signaling system
- Glycolysis in saccharomyces cerevisiae: algorithmic exploration of robustness and origin of oscillations
- Small periodic perturbations of an autonomous system with a stable orbit
- Invariant manifold methods for metabolic model reduction
- Analysis of Kinetic Reaction Mechanisms
- Rescue of the Quasi‐Steady‐State Approximation in a Model for Oscillations in an Enzymatic Cascade
- Geometry of the Computational Singular Perturbation Method
- Quasi-Steady State and Nearly Invariant Sets
- Asymptotic Solution of Stiff PDEs with the CSP Method: The Reaction Diffusion Equation
- Model Reduction for Combustion Chemistry
- Fast and Slow Dynamics for the Computational Singular Perturbation Method
- The Quasi-Steady-State Assumption: A Case Study in Perturbation
- Quasi steady state and partial equilibrium approximations: their relation and their validity
- H2/air autoignition: The nature and interaction of the developing explosive modes
- Model Reduction and Physical Understanding of Slowly Oscillating Processes: The Circadian Cycle
- ASYMPTOTIC BEHAVIOUR OF SOLUTIONS TO CERTAIN PROBLEMS INVOLVING NON-LINEAR DIFFERENTIAL EQUATIONS CONTAINING A SMALL PARAMETER MULTIPLYING THE HIGHEST DERIVATIVES
- Projecting to a Slow Manifold: Singularly Perturbed Systems and Legacy Codes
- Invariant manifolds
