Electrophoresis PDMS/glass chips with continuous on-chip derivatization and analysis of amino acids using naphthalene-2,3-dicarboxaldehyde as fluorogenic agent

In this work, we developed a PDMS electrophoresis device able to carry out on-chip derivatization and quantification of amino acids (AAs) using naphthalene-2,3-dicarboxaldehyde (NDA) as a fluorogenic agent. A chemical modification of the PDMS surface was found compulsory to achieve the derivatization of AAs with NDA and a limit of detection (LOD) of 40 nM was reached for glycine. Finally, we suggested the applicability of this microdevice for the analysis of real biological samples such as a rat hippocampus microdialysate.     

OPTIMAL FISH HARVESTING FOR A POPULATION MODELED BY A NONLINEAR PARABOLIC PARTIAL DIFFERENTIAL EQUATION

As the human population continues to grow, there is a need for better management of our natural resources in order for our planet to be able to produce enough to sustain us. One important resource we must consider is marine fish populations. We use the tool of optimal control to investigate harvesting strategies for maximizing yield of a fish population in a heterogeneous, finite domain. We determine whether these solutions include no‐take marine reserves as part of the optimal solution. The fishery stock is modeled using a nonlinear, parabolic partial differential equation with logistic growth, movement by diffusion and advection, and with Robin boundary conditions. The objective for the problem is to find the harvest rate that maximizes the discounted yield. Optimal harvesting strategies are found numerically.     

Electrochromatographic separation on a poly(dimethylsiloxane)/glass chip by integration of a capillary containing an acrylate monolithic stationary phase

In this paper, we present an approach to perform electrochromatographic separations on poly(dimethylsiloxane) chips: a fused-silica capillary containing a stationary phase was introduced directly into the chip. This approach would offer great flexibility since capillary modification methods are well known, and thus, with this kind of chip, different microfluidic devices having various functions could be prepared. Electrophoretic separations were first achieved by integrating an empty capillary into the chip to evaluate the analytical performances of this system. They were compared to those obtained with a classical chip. Finally, an electrochromatographic separation involving a capillary containing a hexyl acrylate-based monolith was performed. These preliminary results show this approach to be promising.     

Comparative study of floating and dynamic injection modes in electrokinetic separative microsystems

Miniaturization of analytical instruments has attracted a wide interest in analytical chemistry over the past decade because of the advantages of reduced reagent consumption, better analytical performance, and shorter analysis time. The widespread interest in this field has resulted in efforts to develop chips. For chips involving separation, injection is a key step to achieve efficient and sensitive analysis. This work presents a comparative study of two electrokinetic injection modes in chips: the floating, which has been mainly used up to now, and the dynamic. This study was done with a crossjunction, either with numerical simulations or with experiments. Experiments were carried out with homemade PDMS-glass microsystems involving zonal electrophoresis analysis of five derivatized amino acids. Injected amount, reproducibility, separation efficiency, and analyte discrimination were evaluated and discussed. The experimental results were successfully correlated with numerical simulations. It appeared that the dynamic injection mode is much more appropriate than the floating mode as it is faster (reduction by a factor 2 of the total analysis time here), more reproducible (RSD of peak areas equal to 1.3% (n = 4) instead of 10% (n = 4)), and leads to more efficient separation (about 20% with 3 cm separation channel length) for the same injected amount, whatever the amount, because the sample plug is less dispersed.     

Non-local temperature-dependent phase-field models for non-isothermal phase transitions

We propose a model for non-isothermal phase transitions withnon-con-served order parameter driven by a spatially non-localfree energy with respect to both the temperature and the orderparameter. The resulting system of equations is shown to bethermodynamically consistent and to admit a strong solution.     

Coupling of Tachyons to Electromagnetism

We consider a fourth-order equation implying abradyonic and a tachyonic mode of propagation for ascalar field. The electromagnetic field is introducedvia the gauge covariant derivative. We show that the interacting fourth-order equation isequivalent to a second-order Klein-Gordon equation alsominimally coupled, with the tachyon living in closedloops connected only to photon lines. The equivalence shows that the fourth-order theory isrenormalizable and unitary.     

Enhanced energy deposition efficiency of glow discharge electronbeams for metal surface treatment

The energy deposition efficiency and focal spot dynamics of electron beams produced by pulsed cold-cathode high-voltage glow discharges for metal surface treatment are investigated for two different cathode geometries. A concave cathode geometry in which the focusing is dominated by the convergence of the electric field lines in the cathode fall region is compared with flat cathode in which the focusing is exclusively caused by the self-generated magnetic field. Results of the treatment of AISI 4140 carbon steel samples show that the concave cathode geometry significantly increases the efficiency, reduces the threshold power necessary for melting, and is less sensitive to variations in the discharge parameters and sample position. The results of numerical modeling indicate that the observed increase in efficiency is caused by the longer persistence of the focal spot on the sample. The model can be used to predict the discharge parameters required for a desired treatment     

Existence of solutions to a phase transition model with microscopic movements

We prove the existence of weak solutions for a 3D phase change model introduced by Michel Frémond in (Non‐smooth Thermomechanics. Springer: Berlin, 2002) showing, via a priori estimates, the weak sequential stability property in the sense already used by the first author in (Comput. Math. Appl. 2007; 53 :461–490). The result follows by passing to the limit in an approximate problem obtained adding a superlinear part (in terms of the gradient of the temperature) in the heat flux law. We first prove well posedness for this last problem and then—using proper a priori estimates—we pass to the limit showing that the total energy is conserved during the evolution process and proving the non‐negativity of the entropy production rate in a suitable sense. Finally, these weak solutions turn out to be the classical solution to the original Frémond's model provided all quantities in question are smooth enough. Copyright © 2008 John Wiley & Sons, Ltd.     

Dynamics and fragmentation of van der Waals clusters: (H2O)n, (CH3OH)n, and (NH3)n upon ionization by a 26.5 eV soft x-ray laser

A tabletop soft x-ray laser is applied for the first time as a high energy photon source for chemical dynamics experiments in the study of water, methanol, and ammonia clusters through time of flight mass spectroscopy. The 26.5 eV/photon laser (pulse time duration of approximately 1 ns) is employed as a single photon ionization source for the detection of these clusters. Only a small fraction of the photon energy is deposited in the cluster for metastable dissociation of cluster ions, and most of it is removed by the ejected electron. Protonated water, methanol, and ammonia clusters dominate the cluster mass spectra. Unprotonated ammonia clusters are observed in the protonated cluster ion size range 2< or =n< or =22. The unimolecular dissociation rate constants for reactions involving loss of one neutral molecule are calculated to be (0.6-2.7)x10(4), (3.6-6.0)x10(3), and (0.8-2.0)x10(4) s(-1) for the protonated water (9< or =n< or =24), methanol (5< or =n< or =10), and ammonia (5< or =n< or =18) clusters, respectively. The temperatures of the neutral clusters are estimated to be between 40 and 200 K for water clusters (10< or =n< or =21), and 50-100 K for methanol clusters (6< or =n< or =10). Products with losses of up to five H atoms are observed in the mass spectrum of the neutral ammonia dimer. Large ammonia clusters (NH(3))(n) (n>3) do not lose more than three H atoms in the photoionization/photodissociation process. For all three cluster systems studied, single photon ionization with a 26.5 eV photon yields near threshold ionization. The temperature of these three cluster systems increases with increasing cluster size over the above-indicated ranges.