Radical-initiated homo- and copolymerization of cyanomethyl methacrylate

The kinetics of cyanomethyl methacrylate (CyMA) homopolymerization was investigated in acetonitrile with azobisisobutyronitrile as initiator. The rate of polymerization R_p was expressed by R_p = k[AIBN]^0.49[CyMA]^1.2 and the overall activation energy was calculated as 72.3 kJ/mol. Kinetic constants for CyMA polymerization were obtained as follows: k_p/k = 0.10 L^1/2s^?1/2; 2fk_d = 1.57 × 10^?5s^?. The relative reactivity ratios of CyMA(M₂) copolymerization with styrene (r₁ = 0.15, r₂ = 0.29) and methyl methacrylate (r₁ = 0.43, r₂ = 0.75) in acetonitrile were obtained. Applying the Q-e scheme (in styrene copolymerization) led to Q = 1.64 and e = 0.98. The glass transition temperature T_g of poly(CyMA) was observed to be 91°C by thermomechanical analysis. Thermogravimetry of poly(CyMA) showed a 10% weight loss at 265°C in air.     

Composition Operators on the Lipschitz Space of a Tree

The Lipschitz space ${\mathcal{L}}$ of an infinite tree T rooted at o is defined as the space consisting of the functions ${f : T \rightarrow \mathbb{C}}$ such that $$\beta_f = {\rm sup}\{|f(v) - f(v^-)| : v \in T\backslash\{o\}, \,v^- {\rm parent \, of \,} v\}$$ is finite. Under the norm ${\|f\|_\mathcal{L} = |f(o)|+\beta_f,\mathcal{L}}$ is a Banach space. In this article, the functions φ mapping T into itself whose induced composition operator ${C_{\varphi} : f \mapsto f \circ \varphi}$ on the Lipschitz space is bounded, compact, or an isometry, are characterized. Specifically, it is shown that the symbols of the bounded composition operators are the Lipschitz maps of T into itself viewed as a metric space under the edge-counting distance. The symbols inducing compact operators have finite range while those inducing isometries on ${\mathcal{L}}$ are precisely the onto maps fixing the root and whose images of neighboring vertices coincide or are themselves neighboring vertices. Finally, the spectrum of the operators ${C_\varphi}$ that are isometries is studied in detail.     

Measurement of microchannel fluidic resistance with a standard voltage meter

A simplified method for measuring the fluidic resistance (R_fluidic) of microfluidic channels is presented, in which the electrical resistance (R_elec) of a channel filled with a conductivity standard solution can be measured and directly correlated to R_fluidic using a simple equation. Although a slight correction factor could be applied in this system to improve accuracy, results showed that a standard voltage meter could be used without calibration to determine R_fluidic to within 12% error. Results accurate to within 2% were obtained when a geometric correction factor was applied using these particular channels. When compared to standard flow rate measurements, such as meniscus tracking in outlet tubing, this approach provided a more straightforward alternative and resulted in lower measurement error. The method was validated using 9 different fluidic resistance values (from ∼40 to 600 kPa s mm⁻³) and over 30 separately fabricated microfluidic devices. Furthermore, since the method is analogous to resistance measurements with a voltage meter in electrical circuits, dynamic R_fluidic measurements were possible in more complex microfluidic designs. Microchannel R_elec was shown to dynamically mimic pressure waveforms applied to a membrane in a variable microfluidic resistor. The variable resistor was then used to dynamically control aqueous-in-oil droplet sizes and spacing, providing a unique and convenient control system for droplet-generating devices. This conductivity-based method for fluidic resistance measurement is thus a useful tool for static or real-time characterization of microfluidic systems.     

Solvent effects on radical homo- and copolymerizations of methacryloyl fluroride

The effect of solvent in homo- and copolymerizations of methacryloyl fluoride (MAF) was investigated in various aromatic solvents. In these solvents, there is a significant effect on the rate of polymerization, on the tacticity of the resulting poly(methacryloyl fluoride), and on the copolymerization of MAF with methyl methacrylate (MMA). The equilibrium constants between MAF and aromatic solvents were determined from NMR spectroscopic measurements. These results indicated that the solvent effect on the MAF polymerization stems from changes in reactivity of MAF induced by the strong MAF–solvent interaction as well as stabilization of the MAF radical by solvents. Copolymerization of MAF with both p-methoxystyrene (MSt) and p-nitrostyrene (NSt) was also studied.     

Multiplication Operators on the Lipschitz Space of a Tree

In this paper, we study the multiplication operators on the space of complex-valued functions f on the set of vertices of a rooted infinite tree T which are Lipschitz when regarded as maps between metric spaces. The metric structure on T is induced by the distance function that counts the number of edges of the unique path connecting pairs of vertices, while the metric on ℂ is Euclidean. After observing that the space L{\mathcal{L}} of such functions can be endowed with a Banach space structure, we characterize the multiplication operators on L{\mathcal{L}} that are bounded, bounded below, and compact. In addition, we establish estimates on the operator norm and on the essential norm, and determine the spectrum. We then prove that the only isometric multiplication operators on L{\mathcal{L}} are the operators whose symbol is a constant of modulus one. We also study the multiplication operators on a separable subspace of L{\mathcal{L}} we call the little Lipschitz space.     

Glass microfluidic devices with thin membrane voltage junctions for electrospray mass spectrometry

In this study a novel glass membrane was prepared for conducting high voltage (HV) to solution in the channel of a microfabricated device for generation of liquid electrospray. Taylor cone formation and mass spectra obtained from this microdevice confirmed the utility of the glass membrane, but voltage conduction through the membrane could not be successfully explained based solely on the conductivity of the glass itself. This novel method for developing a high-voltage interface for microdevices avoids direct metal/liquid contact eliminating bubble formation in the channel due to water hydrolysis on the surface of the metal. Further, this arrangement produces no dead volume as is often found with traditional liquid junctions. At the same time, preliminary investigations into the outlet design of glass microdevices for interfacing with electrospray mass spectrometry, was explored. Both the exit shape and the use of hydrophobic coatings at the channel exit of the microdevice electrospray interface were evaluated using standard proteins with results indicating the utility of this type of design after further optimization.     

On-chip pressure injection for integration of infrared-mediated DNA amplification with electrophoretic separation

Poly(dimethylsiloxane) (PDMS) membrane valves were utilized for diaphragm pumping on a PDMS-glass hybrid microdevice in order to couple infrared-mediated DNA amplification with electrophoretic separation of the products in a single device. Specific amplification products created during non-contact, infrared (IR) mediated polymerase chain reaction (PCR) were injected via chip-based diaphragm pumping into an electrophoretic separation channel. Channel dimensions were designed for injection plug shaping via preferential flow paths, which aided in minimizing the plug widths. Unbiased injection of sample could be achieved in as little as 190 ms, decreasing the time required with electrokinetic injection by two orders of magnitude. Additionally, sample stacking was promoted using laminar or biased-laminar loading to co-inject either water or low ionic strength DNA marker solution along with the PCR-amplified sample. Complete baseline resolution (Res = 2.11) of the 80- and 102-bp fragments of pUC-18 DNA marker solution was achieved, with partially resolved 257- and 267-bp fragments (Res = 0.56), in a separation channel having an effective length of only 3.0 cm. This resolution was deemed adequate for many PCR amplicon separations, with the added advantage of short separation time-typically complete in <120 s. Decreasing the amount of glass surrounding the PCR chamber reduced the DNA amplification time, yielding a further enhancement in analysis speed, with heating and cooling rates as high as 13.4 and -6.4 degrees C s(-1), respectively. With the time requirements greatly reduced for each step, it was possible to seamlessly couple IR-mediated amplification, sample injection, and separation/detection of a 278-bp fragment from the invA gene of <1000 starting copies of Salmonella typhimurium DNA in approximately 12 min on a single device, representing the fastest PCR-ME integration achieved to date.     

Quantitation of femtomolar protein levels via direct readout with the electrochemical proximity assay

We have developed a separation-free, electrochemical assay format with direct readout that is amenable to highly sensitive and selective quantitation of a wide variety of target proteins. Our first generation of the electrochemical proximity assay (ECPA) is composed of two thrombin aptamers which form a cooperative complex only in the presence of target molecules, moving a methylene blue (MB)-conjugated oligonucleotide close to a gold electrode. Without washing steps, electrical current is increased in proportion to the concentration of a specific target protein. By employing a DNA-based experimental model with the aptamer system, we show that addition of a short DNA competitor can reduce background current of the MB peak to baseline levels. As such, the detection limit of aptamer-based ECPA for human thrombin was 50 pM via direct readout. The dual-probe nature of ECPA gave high selectivity and 93% recovery of signal from 2.5 nM thrombin in 2% bovine serum albumin (BSA). To greatly improve the flexibility of ECPA, we then proved the system functional with antibody-oligonucleotide conjugates as probes; the insulin detection limit was 128 fM with a dynamic range of over 4 orders of magnitude in concentration, again with high assay selectivity. ECPA thus allows separation-free, highly sensitive, and highly selective protein detection with a direct electrochemical readout. This method is extremely flexible, capable of detecting a wide variety of protein targets, and is amenable to point-of-care protein measurement, since any target with two aptamers or antibodies could be assayed via direct electrochemical readout.