This paper proves that the recent result in [1] when specialized to transistor circuits is equivalent to the Nielsen-Willson theorem. The proof is graph-theoretic in nature.
We introduce a passive micromixer with novel architecture using photopatterned porous polymer monoliths (PPM) and demonstrate an improvement in mixing efficiency by monitoring the fluorescence of an on-chip labeling reaction. UV light was used to photopattern a periodic arrangement of PPM structures directly within the channel of a plastic microfluidic chip. By optimizing the composition of the polymerization solution and irradiation time we demonstrate the ability to photopattern PPM in regularly repeating 100 microm segments at the tee-junction of the disposable device. To evaluate the efficiency of this dual functional mixer-reactor fluorescamine and lysine were introduced in separate channels upstream of the tee-junction and the intensity of laser-induced fluorescence resulting from the fluorogenic labeling reaction was monitored. The fluorescence level after the photopatterned periodic monolith configuration was 22% greater than both an equivalent 1 cm continuous segment of PPM and an open channel. Results indicate that this periodic arrangement of PPM, with regularly spaced open areas between 100 microm plugs of PPM, is directly responsible for enhancing the mixing and overall rate of chemical reaction in the system. In addition to facilitating preparation of a dual functional mixer-reactor, the ability to accurately photopattern PPM is an enabling technology for seamlessly integrating multiple monoliths into a single device. This technology will be particularly important to proteomic applications requiring preconcentration, enzymatic digestion and two-dimensional separations.
This paper presents several new algorithms which are used to implement two recently published uniqueness theorems applicable to nonlinear resistive circuits containing independent sources, two-terminal resistors and linear controlled sources. These programs are novel in that they allow a computer to test directly for qualitative behavior. The algorithms and the two programs which use them are described and results are presented for some examples from the original papers.
Polymeric carriers designed to encapsulate protein antigens have great potential for improving the efficacy of vaccines and immunotherapeutics for diseases such as cancer. We recently developed a carrier system based on polyacrylamide hydrogel microparticles cross-linked with acid-labile moieties. After being phagocytosed by antigen-presenting cells, the protein encapsulated within the carrier is released and processed for subsequent presentation of antigenic epitopes. To understand the impact of particle size on the activation of T-cells following uptake by antigen-presenting cells, particles with mean diameters of 3.5 microm and 35 nm encapsulating a model protein antigen were synthesized by emulsion and microemulsion based polymerization techniques, respectively. In vivo tests demonstrated that both sizes of particles were effective at stimulating the proliferation of T-cells and were capable of generating an antigen-specific cytotoxic T-cell response when coadministered with immunostimulatory DNA. Contrary to previous reports in the literature, our results suggest that there is no significant difference in the magnitude of T-cell activation for the two sizes of particles used in these experiments. This disparity in findings may be related to fundamental differences in material properties of the carriers used in these studies, such as the hydrophilicity of the polyacrylamide particles described here versus the hydrophobic nature of carriers investigated by other groups.
Read moreAn integrated software toolkit for the analysis of nonlinear dynamical systems is introduced. This user-friendly, graphically oriented collection of interactive programs includes software that calculates and displays trajectories, bifurcation diagrams, and two-dimensional phase portraits. Also included are programs that locate periodic solutions, calculate and display invariant manifolds of two-dimensional Poincaré maps, as well as compute Lyapunov exponents, Lyapunov dimension, fractal dimension, information dimension, and correlation dimension. The toolkit runs under both the UNIX and PC-DOS operating systems.
Read moreAbstract A closed‐form solution of the variational equation associated with a piecewise‐linear differential equation is derived. This closed‐form solution is used to develop an efficient method for calculating the solution of the variational equation. The method relies on the matrix exponential and requires no integration beyond the calculation of the trajectory along which the variational equation is being solved. Numerical results for the three‐dimensional case show an increase in efficiency of one to two orders of magnitude over the traditional method.
Read moreProspective authors are requested to submit new, unpublished manuscripts for inclusion in the upcoming event described in this call for papers.
Read moreEvidence is reported for a nonrandom process by which laser-produced plasmas emit suprathermal electrons. Emission is dominated by a 1 to 2 psec monoenergetic burst, during which the electron energy decreases rapidly. The suprathermal tail on the energy distribution is due to the integrated temporal variation of the electron energy, not to statistical processes. The hot-electron temperature thus produced is practically independent of laser pulse energy.
Read moreHyperchaos has been observed, for the first time, from a real physical system: a very simple fourth-order electrical circuit. It is autonomous and reciprocal and has only one nonlinear element, a three-segment piecewise-linear resistor. Because of the circuit's simplicity, the laboratory measurements have been confirmed by digital computer simulations. The hyperchaotic nature is confirmed by the two positive Lyapunov exponents associated with the attractor, which is a fractal with a Lyapunov dimension between 3 and 4.
Read moreThe behavior of thin liquid films is known to be dominated by surface tension forces. We show that the crystallization of thin liquid films requires that two wetting angle conditions be simultaneously satisfied: (i) relating to the liquid‐vapor interface, and (ii) relating to the crystal‐liquid interface. The balance between capillary pressure and thermal gradient forces shows that the equilibrium freezing point of thin films is actually depressed below the bulk freezing point. The magnitude of the effect is 1 K in an 800Å thick film. These observations suggest that small‐scale thickness fluctuations may be responsible for the initiation of subgrain boundaries in the growth of crystalline silicon films.
Read moreAbstract Brush‐type chiral stationary phases (CSP) have been prepared both from a silica monolith and, separately, from 10 μm porous silica beads via a process of in‐column modification including attachment of the chiral selector via copper‐catalyzed azide–alkyne cycloaddition. Azide functionalities were first introduced on the pore surface of each type of support by reaction with 3‐(azidopropyl)trimethoxysilane, followed by immobilization of a proline‐derived chiral selector containing an alkyne moiety. This functionalization reaction was carried out in dimethylformamide (DMF) in the presence of catalytic amounts of copper (I) iodide. The separation performance of these triazole linked stationary phases was demonstrated in enantioseparations of four model analytes, which afforded separation factors as high as 11.4.
Read moreAbstract A driven second‐order negative‐resistance oscillator circuit has been observed experimentally to exhibit infinitely many distinct chaotic states in addition to infinitely many subharmonic responses of all orders. Each chaotic state is found to be born out of a devil's staircase whose steps are spaced in accordance with a definite period‐adding law . Each devil's staircase emerges at some level of frequency‐tuning resolution, where each level is embedded within an outer level, ad infinitum . The global bifurcation structure is self‐similar in the sense that upon rescaling, the devil's staircases appear to be clones of each other.
Read moreAbstract The method of averaging has been used for years to prove the existence of oscillations in non‐linear circuits. In the past the application of averaging has tended to be ad hoc rather than systematic. In addition the validity of the method was not well established. the purpose of this paper is to rigorize and systematize the analysis of weakly non‐linear oscillator circuits via the method of averaging. In particular this paper will put on a rigorous foundation the work of Kuramitsu et al. 1‐3 on the ‘averaged potential’ and the work of T. Endo and others on the oscillatory modes of coupled oscillator circuits. Furthermore we give a novel way of simplifying the calculation of averages when we have a potential function representation.
Read moreHere we present our work on development of new solution processable small molecules for efficient organic photovoltaic cells (OPVs). Boron subphthalocyanine derivatives possess unique structural and photophysical properties, i.e. excellent solubility, low tendency to aggregate, and high extinction coefficients, that enable the formation of high quality thin films via solution processing for OPVs application. Both p type (donor) and n type (acceptor) boron subphthalocyanine derivatives have been investigated. Using a soluble 2-Allylphenol SubPc derivative as donor and fullerene as acceptor, we have demonstrated simple planar heterojunction OPVs with power conversion efficiencies of over 1.7%, which represents one of the highest efficiencies for devices with solution processable small molecules to date. The use of fluorinated subphthalocyanines as acceptor and typical poly[2-methoxy-5-(3',7'-dimethyloctyloxy)-1, 4-phenylene vinylene] (MDMO-PPV) as donor has led to fully solution processed OPVs with efficiencies over 0.1%. Our work shows that solution processing of light harvesting small molecules has great potential for application in low cost thin film photovoltaic cells and boron subphthalocyanine derivatives are promising new-generation OPV materials.
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