Dynamics of an intra-host model of malaria with a constant drug efficiency

In this paper, we investigate the dynamics of an intra-host model of malaria with logistic red blood growth, treatment and immune response. We provide a theoretical study of the model. We derive the basic reproduction number $\mathcal R_f$ which determines the extinction and the persistence of malaria within the body of a host. We compute equilibria and study their stability. More precisely, we show that there exists a threshold parameter $\zeta$ such that if $\mathcal R_f\leq\zeta\leq1$, the disease-free equilibrium is globally asymptotically stable. However, if $\mathcal R_f>1$, there exist two malaria infection equilibria which are locally asymptotically stable: one malaria infection equilibrium without immune response and one malaria infection equilibrium with immune response. The sensitivity analysis of the model has been performed in order to determine the impact of related parameters on outbreak severity. The theory is supported by numerical simulations. We also derive a spatio-temporal model, using Diffusion-Reaction equations to model parasites dispersal. Finally, we provide numerical simulations for parasites spreading, and test different treatment scenarios.     

The Challenge of Functional Magnetic Resonance Imaging

Abstract

Functional magnetic resonance imaging of the human brain in action presents large statistical and computational challenges. Here we describe those challenges and provide references to a number of other papers where detailed methods developed to meet them are reported. The first seven sections of this paper were written in 1995 when our work was in its infancy. The last four sections were written more recently, to update the earlier sections and to show the directions we have gone and the directions we intend to go.     

Influence of Porosity on the Electrical Sensing Zone and Laser Diffraction Sizing of Silicas. A collaborative study

The objective of a continuing study by the Belgian Particle Technology Group involves difficulties in practical size determinations. This part describes the behaviour of silicas with different porosities during sizing by electrical sensing zone and laser diffraction methods. Anisotropy and porosity were identified to be important particle characteristics in understanding the differences between the two methods. Especially large pore diameters and pore volumes were found to be responsible for shifts in size distribution of 50 to 100%. The use of optical values and optical models was shown to influence these shifts considerably. In the case of spherical silica particles with moderate porosity, no significant differences could be found between the two sizing methods.     

Qualitative study of in vivo melphalan adduct formation in the rat by miniaturized column-switching liquid chromatography coupled with electrospray mass spectrometry

In a general study of DNA adduct formation with melphalan, rats were intravenously injected with a single high dose (10 mg kg(-1)). Adduct formation was studied at the nucleoside level in the target organs liver, bone marrow, kidney and blood with the use of 2D liquid chromatography/tandem mass spectrometry (LC/MS/MS). Adducts of dGuo and dAdo were detected under selected reaction monitoring in liver and bone marrow 10 h after administration of melphalan. In the DNA hydrolysates from kidney and blood a Gua-melphalan adduct was found, although in very low abundance. These first results of the search for in vivo-formed melphalan adducts in the rat showed that our miniaturized LC/MS technique is useful for investigating this type of compound. More experiments will be performed in this area to gather more information about the pharmacokinetics and the quantity of adducts formed.     

Nature of luminescence and strain in gallium nitride nanowires

Photo- and cathodo-luminescence measurements of a variable-diameter ensemble of GaN nanowires revealed a diameter-dependent, spectral emission distribution between 350 nm and 850 nm. Spectral analysis indicated that wires with a diameter less than 400 nm were dominated by a yellow luminescence with a weaker near UV/violet emission also present. Examination of this ensemble showed that there was a general trend in the ratio of near-UV-to-yellow emission intensities with increasing nanowire diameter. Additionally, a broad green emission appears in the nanowires with a diameter above approximately 200 nm. A calculation based on the nanoheteroepitaxy model indicates that this diameter represents a transitional thickness where strain is relieved by defect formation mechanisms with a characteristic green emission.     

鱼肉组织中多溴联苯醚的定量分析

多溴联苯醚(PBDEs)是一类广泛用于家用电器、电子产品、塑料泡沫、家居装饰材料等行业的添加型阻燃剂[1],使用量最多的是五溴联苯醚(penta-BDE),八溴联苯醚(octa-BDE)和十溴联苯醚(deca-BDE)3种[2]。最近的研究表明[4-6],多溴联苯醚已广泛地存在于各种环境介质、生物体及人体中