Asymptotic Analysis of a Target-Mediated Drug Disposition Model: Algorithmic and Traditional Approaches

Modeling, estimation and optimization in coreflooding experiments for coalbed methane production

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Model reduction: When singular perturbation analysis simplifies to partial equilibrium approximation

(2015) Dimitris A. Goussis   COMBUSTION AND FLAME

n -Heptane/air combustion in perfectly stirred reactors: Dynamics, bifurcations and dominant reactions at critical conditions

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Dynamical system analysis of ignition phenomena using the Tangential Stretching Rate concept

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H2/air autoignition: The nature and interaction of the developing explosive modes

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Determining “small parameters” for quasi-steady state

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Topics in Mathematical Pharmacology

(2015) Piet H. van der Graaf et al.   Journal of Dynamics and Differential Equations

Geometric analysis of the Goldbeter minimal model for the embryonic cell cycle

(2015) Ilona Kosiuk et al.   JOURNAL OF MATHEMATICAL BIOLOGY

The “hidden” dynamics of the Rössler attractor

(2015) Dimitris T. Maris et al.   PHYSICA D-NONLINEAR PHENOMENA

Geometry of the Computational Singular Perturbation Method

(2015) Hans G. Kaper et al.   Mathematical Modelling of Natural Phenomena

Validity of the Michaelis-Menten equation - steady-state or reactant stationary assumption: that is the question

(2013) Santiago Schnell   FEBS Journal

Glycolysis in saccharomyces cerevisiae: Algorithmic exploration of robustness and origin of oscillations

(2013) Panayotis D. Kourdis et al.   MATHEMATICAL BIOSCIENCES

The role of slow system dynamics in predicting the degeneracy of slow invariant manifolds: The case of vdP relaxation–oscillations

(2013) Dimitris A. Goussis   PHYSICA D-NONLINEAR PHENOMENA

Simplification of biochemical models: a general approach based on the analysis of the impact of individual species and reactions on the systems dynamics

(2012) Irina Surovtsova et al.   BMC Systems Biology

Quasi steady state and partial equilibrium approximations: their relation and their validity

(2012) Dimitris A. Goussis   COMBUSTION THEORY AND MODELLING

Algorithmic asymptotic analysis of the NF- κ B signaling system

(2012) Panayotis D. Kourdis et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Dynamics of target-mediated drug disposition: characteristic profiles and parameter identification

(2012) Lambertus A. Peletier et al.   JOURNAL OF PHARMACOKINETICS AND PHARMACODYNAMICS

Multi-scale modelling and simulation in systems biology

(2011) Joseph O. Dada et al.   Integrative Biology

Mathematical analysis of the pharmacokinetic–pharmacodynamic (PKPD) behaviour of monoclonal antibodies: Predicting in vivo potency

(2011) Philip J. Aston et al.   JOURNAL OF THEORETICAL BIOLOGY

Theoretical Considerations of Target-Mediated Drug Disposition Models: Simplifications and Approximations

(2011) Peiming Ma   PHARMACEUTICAL RESEARCH

Physical understanding of complex multiscale biochemical models via algorithmic simplification: Glycolysis in Saccharomyces cerevisiae

(2010) Panayotis D. Kourdis et al.   PHYSICA D-NONLINEAR PHENOMENA

Dynamics of target-mediated drug disposition

(2009) Lambertus A. Peletier et al.   EUROPEAN JOURNAL OF PHARMACEUTICAL SCIENCES

Geometric singular perturbation theory in biological practice

(2009) Geertje Hek   JOURNAL OF MATHEMATICAL BIOLOGY

Quasi-Steady State and Nearly Invariant Sets

(2009) Lena Noethen et al.   SIAM JOURNAL ON APPLIED MATHEMATICS

A new perturbation solution to the Michaelis-Menten problem

(2008) John W. Dingee et al.   AICHE JOURNAL

Approximations of the target-mediated drug disposition model and identifiability of model parameters

(2008) Leonid Gibiansky et al.   JOURNAL OF PHARMACOKINETICS AND PHARMACODYNAMICS

Multi-scale computational modelling in biology and physiology

(2007) James Southern et al.   PROGRESS IN BIOPHYSICS & MOLECULAR BIOLOGY