A novel method of estimating enzyme kinetic parameters is presented using the Lambert omega function coupled with nonlinear regression. Explicit expressions for the substrate and product concentrations in the integrated Michaelis-Menten equation were obtained using the omega function which simplified kinetic parameter estimation as root-solving and numerical integration of the Michaelis-Menten ...

A theoretical model of a surface electrode reaction coupled with a preceding chemical reaction (surface CE electrode mechanism) is theoretically studied under conditions of square-wave voltammetry. The position and the shape of the theoretical voltammograms are function of the redox kinetic parameter k 1⁄4 ks f where ks is the standard electron exchange rate constant and f is the frequency of t...

The parameter estimation using the traditional kinetic modeling of complex reaction systems will give incorrect results if the reaction mechanism contains a loop. In this work, a thermodynamically consistent kinetic model of the anodic electrochemical hydrogen oxidation reaction mechanism of a solid oxide fuel cell (SOFC) is formulated. An iterative algorithm for estimating the reaction rate co...

Parameter estimation, a key step in establishing the kinetic models, can be considered as a numerical optimization problem. Many optimization techniques including evolutionary algorithms have been applied to it, yet their efficiency needs further improvement. This paper proposes a hierarchical differential evolution (HDE) in which individuals are organized in a hierarchy and mutation base is se...

In this work we numerically study the diffusive limit of run & tumble kinetic models for cell motion due to chemotaxis by means of asymptotic preserving schemes. It is well-known that the diffusive limit of these models leads to the classical Patlak-Keller-Segel macroscopic model for chemotaxis. We will show that the proposed scheme is able to accurately approximate the solutions before blow-up...

MOTIVATION Studying biological systems, not just at an individual component level but at a system-wide level, gives us great potential to understand fundamental functions and essential biological properties. Despite considerable advances in the topological analysis of metabolic networks, inadequate knowledge of the enzyme kinetic rate laws and their associated parameter values still hampers lar...

Purpose: To directly compare HRRT (high resolution brain) and HR+ (standard wholebody) PET only scanners for quantitative brain studies using three tracers with vastly different tracer distributions. Procedures: Healthy volunteers underwent successive scans on HR+ and HRRT scanners (in random order) using either (R)-[C]verapamil (n=6), [C]raclopride (n=7) or [C]flumazenil (n=7). For all tracers...

G. A. Buonaccorsi, G. J. Parker Imaging science and Biomedical Engineering, University of Manchester, Manchester, Manchester, United Kingdom Introduction In clinical quantitative dynamic contrast enhanced MRI (DCE-MRI), it is difficult to verify the accuracy of estimates of kinetic model parameters such as K, ve and vp, as we do not know the ‘true’ parameter values (ground truth). The problem i...