The mathematical description of hemodialysis (HD) includes two parts: 1) explanation of the exchange between patient’s blood and dialysate fluid across a semipermeable membrane of the dialyzer, and 2) characterization of the solute removal from the patient. The solute transport across the dialyzer membrane depends on the difference in hydrostatic pressure and solute concentration gradients betw...

When suspensions involving rigid rods become too concentrated, standard dilute theories fail to describe their behavior. Rich microstructures involving complex clusters are observed, and no model allows describing its kinematics and rheological effects. In previous works the authors propose a first attempt to describe such clusters from a micromechanical model, but neither its validity nor the ...

Computer modeling is used to derive some of the exact kinetic properties of a small Ising system.

Lean NOx traps are an important concept for reducing NOx in lean exhausts from diesel engines and lean burn gasoline engines. A global kinetic model has been developed in this work that can describe the NOx emissions after the catalyst. The model is based on flow reactor experiments using a model Pt/Rh/BaO/Al2O3 catalyst. The objective with the model was to use global kinetics to facilitate rap...

The basis of enzyme kinetic modelling was established during the early 1900’s when the work of Leonor Michaelis and Maud Menten produced a pseudo-steady state equation linking enzymatic catalytic rate to substrate concentration (Michaelis & Menten, 1913). Building from the Michaelis-Menten equation, other equations used to describe the effects of modifiers of enzymatic activity were developed b...

PET and SPECT using appropriate radioligands allow imaging of certain critical components of neurotransmission such as presynaptic transporters and postsynaptic receptors in living human brains. PET and SPECT data are commonly analyzed by applying tracer kinetic models. These modeling approaches assume a compartmental system and derive the outcome measure called the binding potential, which ref...

 Biodiesel production from non edible oil through transesterification in batch reactor is highly effective technique for kinetic analysis. Temperature, molar ratio, mixing intensity and catalyst influenced the biodiesel production and kinetic. Alkaline catalysts are more efficient in nature as compare to acid and base catalyst. This paper particularly focuses on the impact of NaOH catalyst o...

A kinetic theory is formulated for the velocity of a step edge in epitaxial growth. The formulation involves kinetic, mean-field equations for the density of kinks and "edge adatoms" along the step edge. Equilibrium and kinetic steady states, corresponding to zero and nonzero deposition flux, respectively, are derived for a periodic sequence of step edges. The theoretical results are compared t...

A model kinetic equation for accurate description of rarefied polyatomic gases is introduced. The collisions of polyatomic gas particles are modeled by a two term collision operator, one modeling only exchange of translational energy and the other modeling exchange of both translational and internal energies. The proposed kinetic model, which is an extension of the Rykov and Shakov models, pred...

Kinetic modeling of metabolic pathways has become a major field of systems biology. It combines structural information about metabolic pathways with quantitative enzymatic rate laws. Some of the kinetic constants needed for a model could be collected from ever-growing literature and public web resources, but they are often incomplete, incompatible, or simply not available. We address this lack ...