The data reported in this paper come from a study aimed at explaining how successful teachers teach proof in geometry. Through a careful analysis of a series of lessons taught in Grade 8 in Shanghai, China, the paper reports on the appropriateness of the van Hiele model of ‘teaching phases’ within the Chinese context. The analysis indicates that though the second and third van Hiele teaching ph...

A one dimensional phase model for the classic two dimensional van der Pol oscillator is developed. This model is restricted to the relaxed case, and its construction is based on the slow and fast transitions the phase goes through during its cycle. An application of the phase model is included in which synchronization of two coupled van der Pol oscillators is analyzed and even used to calculate...

We adopted an in vitro infective endocarditis model (IVIEM) to compare the efficacy of vancomycin (VAN), arbekacin (ABK), and gentamicin (GEN) alone or in combination. Using two strains of clinically isolated methicillin-resistant Staphylococcus aureus, one GEN susceptible (GS171) and one GEN resistant (GR153), fibrin clots were prepared and suspended in the IVIEM. Antibiotics were given as bol...

In the present paper, a new 2-D Van der Polstructural oscillator model is introduced for the vortex induced vibrations of circular cylinders.The main purpose of this task is to control the recently introduced model by means of modern control definitions in state space. In order to control the system, the whole model is linearized about its equilibrium point by deriving state-space matrices. The...

In this study, an impact behavior of spherical striker on a double-walled carbon nanotube (DWCNT) is presented based on a three degree of freedom spring-mass model and the finite element (FE) simulations. The semi-analytical solution of the transverse impact of a striker on a DWCNT is investigated by using the elasticity nonlocal theory of Euler-Bernoulli (EBT) and Timoshenko (TBT) nanobeams. T...

Caspase-3, one of the dominant effectors caspases, is activated in almost every model of apoptosis with various signaling pathways. Hence, inhibition of caspase-3 has become an attractive target in the treatment of neurodegenerative diseases. Caspase-3 inhibitory activities of some 1,2-benzisothiazol-3-one derivatives were modeled by quantitative structure–activity relationship (QSAR) using ste...

A modified two-dimensional van der Waals equation model was proposed for the prediction of multicomponent gas-solid adsorption isotherms from corresponding single-component adsorption equilibrium data. The model was used to predict adsorption isotherms of CO-CO2 mixtures and CO2-N2 mixtures on Cu(I)-NaY zeolite. Experimental adsorption equilibrium data of the two systems were compared with resu...

TO THE EDITOR—We read with great interest the study by Cervera and colleagues on the effect of vancomycin minimum inhibitory concentration (van-MIC) on clinical outcome in 93 patients with leftsided infective endocarditis due to methicillin-susceptible Staphylococcus aureus (MSSA) [1]. However, various questions remain unanswered. The 3-fold higher mortality in the group of patients with a van-...