The recent broad interest on ratio-dependent based predator functional response calls for detailed qualitative study on ratio-dependent predator-prey differential systems. A first such attempt is documented in the recent work of Kuang and Beretta(1998), where Michaelis-Menten-type ratio-dependent model is studied systematically. Their paper, while contains many new and significant results, is f...

The Michaelis-Menten model has and continues to be one of the most widely used models in many diverse fields. In the biomedical sciences, the model continues to be ubiquitous in biochemistry, enzyme kinetics studies, nutrition science and in the pharmaceutical sciences. Despite its wide ranging applications across disciplines, design issues for this model are given short shrift. This paper focu...

Glucose is the major substrate that sustains normal brain function. When the brain glucose concentration approaches zero, glucose transport across the blood-brain barrier becomes rate limiting for metabolism during, for example, increased metabolic activity and hypoglycemia. Steady-state brain glucose concentrations in alpha-chloralose anesthetized rats were measured noninvasively as a function...

Background: The purpose of this study was to evaluate the risk peri-prosthetic fracture constructs made with cephalomedullary (CM) long and short nails. nails were titanium alloy (Ti-6Al-4V) stainless steel (SS 316L). Methods: Biomechanical evaluation CM nail carried out regard post-primary healing determine peri-implant/peri-prosthetic fractures. Therefore, research comprised of, non-fractured...

This paper suggests and analyses a model consisting of two commensal populations with Michaelis-Menten type harvesting for the first population. The harvested species draws strength from second hosted species. overall dynamics are provided to achieve coexistence, stability persistence equilibrium points proposed system. local bifurcation near positive point is attained. Moreover, numerical simu...

Enzymes are biological catalysts vital to life processes and have attracted century-long investigation. The classic Michaelis-Menten mechanism provides a highly satisfactory description of catalytic activities for large ensembles of enzyme molecules. Here we tested the Michaelis-Menten equation at the single-molecule level. We monitored long time traces of enzymatic turnovers for individual b-g...