New trends and perspectives in nonlinear intracellular dynamics: one century from Michaelis–Menten paper

On the use of the multiple scale method in solving ‘difficult’ bifurcation problems

(2015) Angelo Luongo   MATHEMATICS AND MECHANICS OF SOLIDS

Second-gradient models accounting for some effects of microstructure on remodelling of bones reconstructed with bioresorbable materials

(2013) A. Madeo et al.   COMPUTER METHODS IN BIOMECHANICS AND BIOMEDICAL ENGINEERING

Double zero bifurcation of non-linear viscoelastic beams under conservative and non-conservative loads

(2013) A. Luongo et al.   INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS

A continuum model for deformable, second gradient porous media partially saturated with compressible fluids

(2013) A. Madeo et al.   JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS

A microscale second gradient approximation of the damage parameter of quasi-brittle heterogeneous lattices

(2013) A. Rinaldi et al.   ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik

A second gradient continuum model accounting for some effects of micro-structure on reconstructed bone remodelling

(2012) Angela Madeo et al.   COMPTES RENDUS MECANIQUE

Dynamic analysis of externally excited NES-controlled systems via a mixed Multiple Scale/Harmonic Balance algorithm

(2012) Angelo Luongo et al.   NONLINEAR DYNAMICS

The Renormalization Group: A Perturbation Method for the Graduate Curriculum

(2012) Eleftherios Kirkinis   SIAM REVIEW

A mixture model with evolving mass densities for describing synthesis and resorption phenomena in bones reconstructed with bio-resorbable materials

(2012) T. Lekszycki et al.   ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik

The Original Michaelis Constant: Translation of the 1913 Michaelis–Menten Paper

(2011) Kenneth A. Johnson et al.   BIOCHEMISTRY

Substrate-Dependent Control of ERK Phosphorylation Can Lead to Oscillations

(2011) Ping Liu et al.   BIOPHYSICAL JOURNAL

A continuum model for the bio-mechanical interactions between living tissue and bio-resorbable graft after bone reconstructive surgery

(2011) Angela Madeo et al.   COMPTES RENDUS MECANIQUE

A perturbation solution of Michaelis–Menten kinetics in a “total” framework

(2011) Guido Dell’Acqua et al.   JOURNAL OF MATHEMATICAL CHEMISTRY

Thermomechanics of shells undergoing phase transition

(2011) V.A. Eremeyev et al.   JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS

Reduced models of networks of coupled enzymatic reactions

(2011) Ajit Kumar et al.   JOURNAL OF THEORETICAL BIOLOGY

Asymptotic expansions in enzyme reactions with high enzyme concentrations

(2011) Alberto Maria Bersani et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Dynamic instability of inclined cables under combined wind flow and support motion

(2011) Angelo Luongo et al.   NONLINEAR DYNAMICS

Statistical model with two order parameters for ductile and soft fiber bundles in nanoscience and biomaterials

(2011) Antonio Rinaldi   PHYSICAL REVIEW E

The extended catalysis of glutathione transferase

(2010) Raffaele Fabrini et al.   FEBS LETTERS

Modeling the action of drugs on cellular enzymes by means of optimal control techniques

(2010) A. M. Bersani et al.   JOURNAL OF MATHEMATICAL CHEMISTRY

Is there anything left to say on enzyme kinetic constants and quasi-steady state approximation?

(2010) Alberto Maria Bersani et al.   JOURNAL OF MATHEMATICAL CHEMISTRY

Bifurcations and chaos in the MAPK signaling cascade

(2010) Martin Zumsande et al.   JOURNAL OF THEORETICAL BIOLOGY

Application of Optimal Control techniques and Advanced Computing to the study of enzyme kinetics

(2010) Alberto Maria Bersani et al.   MATHEMATICS AND COMPUTERS IN SIMULATION

Geometric singular perturbation theory in biological practice

(2009) Geertje Hek   JOURNAL OF MATHEMATICAL BIOLOGY

Introducing total substrates simplifies theoretical analysis at non-negligible enzyme concentrations: pseudo first-order kinetics and the loss of zero-order ultrasensitivity

(2009) Morten Gram Pedersen et al.   JOURNAL OF MATHEMATICAL BIOLOGY

A new perturbation solution to the Michaelis-Menten problem

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

Stochastic Simulation of Enzyme-Catalyzed Reactions with Disparate Timescales

(2008) Debashis Barik et al.   BIOPHYSICAL JOURNAL

Rational Damage Model of 2D Disordered Brittle Lattices Under Uniaxial Loadings

(2008) Antonio Rinaldi   INTERNATIONAL JOURNAL OF DAMAGE MECHANICS

Stochastic chemical kinetics and the total quasi-steady-state assumption: Application to the stochastic simulation algorithm and chemical master equation

(2008) Shev MacNamara et al.   JOURNAL OF CHEMICAL PHYSICS

Reactant Stationary Approximation in Enzyme Kinetics

(2008) Sonya M. Hanson et al.   JOURNAL OF PHYSICAL CHEMISTRY A

Analytical and numerical approaches to nonlinear galloping of internally resonant suspended cables

(2008) Angelo Luongo et al.   JOURNAL OF SOUND AND VIBRATION

Determination of kinetic parameters of enzyme-catalyzed reactions with a minimum number of velocity measurements

(2008) Robert A. Alberty   JOURNAL OF THEORETICAL BIOLOGY

The total quasi-steady-state approximation for complex enzyme reactions

(2008) Morten Gram Pedersen et al.   MATHEMATICS AND COMPUTERS IN SIMULATION

Krylov and steady-state techniques for the solution of the chemical master equation for the mitogen-activated protein kinase cascade

(2008) Shev MacNamara et al.   NUMERICAL ALGORITHMS

Analysis of a renormalization group method and normal form theory for perturbed ordinary differential equations

(2008) R.E. Lee DeVille et al.   PHYSICA D-NONLINEAR PHENOMENA

The Goldbeter-Koshland Switch in the First-Order Region and Its Response to Dynamic Disorder

(2008) Jianhua Xing et al.   PLoS One

Antagonism and bistability in protein interaction networks

(2007) Mohsen Sabouri-Ghomi et al.   JOURNAL OF THEORETICAL BIOLOGY