Sums of residues on algebraic surfaces and application to coding theory

In this paper, we study residues of differential 2-forms on a smooth algebraic surface over an arbitrary field and give several statements about sums of residues. Afterwards, using these results, we construct algebraic-geometric codes which are an extension to surfaces of the well-known differential codes on curves. We also study some properties of these codes and extend to them some known properties for codes on curves.     

Small-angle neutron and X-ray scattering from amphiphilic stimuli-responsive diamond-type bicontinuous cubic phase

The structural evolution of a diamond-type bicontinuous lipid cubic phase upon application of thermal and chemical (hydration agent) stimuli is investigated by means of small-angle neutron (SANS) and X-ray scattering (SAXS). The soft-matter cubic architecture responds by dramatic swelling (DLarge cubic structure) upon incorporation of a hydration-enhancing guest component (octyl glucoside) at low and ambient temperatures, the aqueous channel diameter increasing twice to approximately 7 nm. DLarge appears to be built up from an assembly of cubosomic domains, which may coexist with an amphiphilic lamellae domain at low temperatures. The chemical stimulus concentration can be selected as to tune the hydration of the nanochannels in the DLarge phase and its transformation into a DNormal phase at temperatures above the body temperature. Two-dimensional SANS images recorded upon heating scan reveal growth of spontaneously oriented domains of single-crystal cubic nature. Phase separation and squeezing out the guest-hydrating agent from the higher-curvature regions of the amphiphilic bilayer suggest a possible mechanism for the established transformations. The order-order structural transition, cubic DLarge-cubic DNormal, is found to be reversible upon cooling. The obtained results put forward a structure-based concept for release of encapsulated guest molecules from stimuli-responsive and self-regulated cubosomic nanocarriers.     

Construction of rational surfaces yielding good codes

In the present article, we consider Algebraic Geometry codes on some rational surfaces. The estimate of the minimum distance is translated into a point counting problem on plane curves. This problem is solved by applying the upper bound à la Weil of Aubry and Perret together with the bound of Homma and Kim for plane curves. The parameters of several codes from rational surfaces are computed. Among them, the codes defined by the evaluation of forms of degree 3 on an elliptic quadric are studied. As far as we know, such codes have never been treated before. Two other rational surfaces are studied and very good codes are found on them. In particular, a [57,12,34] code over F₇ and a [91,18,53] code over F₉ are discovered, these codes beat the best known codes up to now.     

Interaction of an anticancer drug, gemcitabine, with phospholipid bilayers

The molecular interaction between gemcitabine, an anticancer pyrimidine analogue, and fully hydrated phospholipid (1,2-dipalmitoyl-sn-3-phosphatidylcholine, DPPC) membrane model has been investigated by Differential Scanning Calorimetry (DSC) and Small and Wide Angle X-ray Diffraction (SWAXS). The behaviour of the charged and uncharged forms of gemcitabine has been examined. Our results show that: (1) at physiological pH, gemcitabine does not modify significantly the thermal and structural properties of DPPC, (2) at pH of 2.4 the drug interacts electrostatically with the polar headgroups, inducing the formation of unilamellar vesicles and (3) at acidic pH the DPPC lamellar phase is recovered when salt is added.     

Interaction of self-assembled squalenoyl gemcitabine nanoparticles with phospholipid-cholesterol monolayers mimicking a biomembrane

Gemcitabine (dFdC or Gem) is a water-soluble cytotoxic drug, with poor cellular uptake in the absence of a nucleoside transporter. To improve its diffusion through membranes, it was modified by grafting of a squalenoyl moiety. In water, this derivative is able to form stable and monodispersed nanoparticles made of inverse hexagonal phases. The formation and interfacial properties of the squalenoyl gemcitabine (SQ-Gem) nanoparticles, and their ability to interact with phospholipid and cholesterol monolayers modeling a biomembrane, was assessed from surface tension measurements and Brewster angle microscopy. To get a better insight into the mechanisms of SQ-Gem interaction with the various lipids, the interfacial behavior of SQ-Gem and squalene was also studied by surface pressure and surface potential measurements, in the absence and in the presence of phospholipids and cholesterol. The results showed that SQ-Gem nanoparticles adsorbed at the free air/water interface and disrupted to form a monolayer. SQ-Gem molecules released from the adsorbed nanoparticles were also able to penetrate into condensed phospholipid-cholesterol mixed monolayers. The kinetics of this penetration was apparently controlled by intermolecular interactions between the drug and the adsorbed lipids. Whereas distearoylphosphatidylcholine (DSPC) hindered SQ-Gem penetration, cholesterol favored it, which could have important implications in the therapeutic field since cholesterol targeting could alter lipid raft composition and cancer cell survival.     

Propidium-iodide-loaded polyalkylcyanoacrylate particles —labelling conditions and loading capacity

Polyalkylcyanoacrylate nanoparticles were labelled with the fluorescent marker propidium iodide to follow their cellular distribution. Fixation of propidium iodide onto the nanoparticles can be achieved by its addition to the polymerization medium after initiating the polymerization process. However, the charged propidium iodide was found to distort the anionic polymerization process. Therefore, polymerization conditions were optimized with regard to the time of marker addition and marker concentration, loading capacity, and monodispersity of the nanoparticles size distribution.     

Protein driven patterning of self-assembled cubosomic nanostructures: long oriented nanoridges

Self-assembly lipid/protein cubosomic nanostructures are generated at high hydration level (dispersion of 5% lipid only) and examined by freeze-fracture electron microscopy (FF-EM) and synchrotron X-ray diffraction (XRD). The fracture surface of the three-dimensional (3D) soft-matter membranous assembly reveals starlike nanopatterns of oriented 100-nm-long cubosomic nanoridges with lateral periodicity defined by their 21-nm diameters. The average water channel radius in these liquid crystalline cubosomic nanoarchitectures, determined by high-resolution FF-EM and XRD, is 18.0 Angstrom. The protein-directed fragmentation of a diamond-type lipid cubic phase at high hydration can induce 3D patterns of oriented nanoporous building blocks, which are a unique example of tertiary organization of functionalized fluid lipid/water interfaces.     

Analysis of plasma protein adsorption onto PEGylated nanoparticles by complementary methods: 2-DE, CE and Protein Lab-on-chip system

The biodistribution of colloidal carriers after their administration in vivo depends on the adsorption of some plasma proteins and apolipoproteins on their surface. Poly(methoxypolyethyleneglycol cyanoacrylate-co-hexadecylcyanoacrylate) (PEG-PHDCA) nanoparticles have demonstrated their capacity to cross the blood-brain barrier (BBB) by a mechanism of endocytosis. In order to clarify this mechanism at the molecular level, proteins and especially apolipoproteins adsorbed at the surface of PEG-PHDCA nanoparticles were analyzed by complementary methods such as CE and Protein Lab-on-chip in comparison with 2-D PAGE as a method of reference. Thus, the ability of those methodologies to identify and quantify human and rat plasma protein adsorption onto PEG-PHDCA nanoparticles and conventional PHDCA nanoparticles was evaluated. The lower adsorption of proteins onto PEG-PHDCA nanoparticles comparatively to PHDCA nanoparticles was evidenced by 2-D PAGE and Protein Lab-on-chip methods. CE allowed the quantification of adsorbed proteins without the requirement of a desorption procedure but failed, in this context, to analyze complex mixtures of proteins. The Protein Lab-on-chip method appeared to be very useful to follow the kinetic of protein adsorption from serum onto nanoparticles; it was complementary to 2-D PAGE which allowed the identification (with a relative quantification) of the adsorbed proteins. The overall results suggest the implication of the apolipoprotein E in the mechanism of passage of PEG-PHDCA nanoparticles through the BBB.     

Magnetoresponsive squalenoyl gemcitabine composite nanoparticles for cancer active targeting

Gemcitabine is widely used against a variety of solid tumors; however, it possesses some important drawbacks such as rapid deamination leading to short biological half-life and induction of tumor resistance. We have shown previously that the covalent coupling of squalene (a precursor of cholesterol in sterol biosynthesis) to gemcitabine resulted in a potent nanomedicine, squalenoyl gemcitabine (SQdFdC), which displayed appreciable anticancer activity. Now, the present study describes the concept of magnetic responsiveness of SQdFdC nanoparticles obtained by the nanoprecipitation of SQdFdC around magnetite nanoparticles. To investigate these new core/shell nanoparticles, we have compared their structure, chemical composition and surface properties with those of either the magnetic core alone or of the SQdFdC coating material. X-ray diffraction and infrared spectroscopy studies have shown that the composite core/shell particles displayed an intermediate behavior between that of pure magnetite and of pure SQdFdC nanoparticles, whereas dark-field, high-resolution transmission electron microscopy allowed clear demonstration of the core/shell structure. Electrophoresis measurements as a function of both pH and ionic strength, as well as thermodynamic consideration, showed similar behavior of core/shell and pure SQdFdC nanoparticles, suggesting again the coating of the magnetite core by the SQdFdC prodrug. The two important parameters to be controlled in the efficient adsorption of SQdFdC onto magnetite nanocores were the magnetite/SQdFdC weight ratio and the pluronic F-68 concentration. Pluronic F-68 was found to play a key role as a surfactant in the generation of stable composite core/shell nanoparticle suspensions. Finally, the characterization of the magnetic properties of these core/shell nanoparticles revealed that if the squalenoyl shell reduced the magnetic responsiveness of the particles, it kept unchanged their soft ferrimagnetic character. Thus, the heterogeneous structure of these nanoparticles could confer them both magnetic field responsiveness and potential applicability as a drug carrier for active targeting to solid tumors.