10,000 publications from this institution
This paper shows the action potential (spikes) generated from the Hodgkin–Huxley equations emerges near the edge of chaos consisting of a tiny subset of the locally active regime of the HH equations. The main result proves that the eigenvalues of the 4 × 4 Jacobian matrix associated with the mathematically intractable system of four nonlinear differential equations are identical to the zeros of a scalar complexity function from complexity theory. Moreover, we show the loci of a pair of complex-conjugate zeros migrate continuously as a function of an externally applied DC current excitation emulating the net synaptic excitation current input to the neuron. In particular, the pair of complex-conjugate zeros move from a subcritical Hopf bifurcation point at low excitation current to a super-critical Hopf bifurcation point at high excitation current. The spikes are generated as the excitation current approaches the vicinity of the edge of chaos, which leads to the onset of the subcritical Hopf bifurcation regime. It follows from this in-depth qualitative analysis that local activity is the origin of spikes.
An orthogonal [2 + 2 + <italic>n</italic> ] cycloaddition/alkyne metathesis reaction sequence enables streamlined access to conjugated macrocyclic nanocarbons.
An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available from the CCDC and typically includes 3D coordinates, cell parameters, space group, experimental conditions and quality measures.
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Mass spectrometry (MS) is the enabling technology for proteomics and metabolomics. However, dramatic improvements in both sensitivity and throughput are still required to achieve routine MS-based single cell proteomics and metabolomics. Here, we report the silicon-based monolithic multinozzle emitter array (MEA) and demonstrate its proof-of-principle applications in high-sensitivity and high-throughput nanoelectrospray mass spectrometry. Our MEA consists of 96 identical 10-nozzle emitters in a circular array on a 3 in. silicon chip. The geometry and configuration of the emitters, the dimension and number of the nozzles, and the micropillar arrays embedded in the main channel can be systematically and precisely controlled during the microfabrication process. Combining electrostatic simulation and experimental testing, we demonstrated that sharpened-end geometry at the stem of the individual multinozzle emitter significantly enhanced the electric fields at its protruding nozzle tips, enabling sequential nanoelectrospray for the high-density emitter array. We showed that electrospray current of the multinozzle emitter at a given total flow rate was approximately proportional to the square root of the number of its spraying-nozzles, suggesting the capability of high MS sensitivity for multinozzle emitters. Using a conventional Z-spray mass spectrometer, we demonstrated reproducible MS detection of peptides and proteins for serial MEA emitters, achieving sensitivity and stability comparable to the commercial capillary emitters. Our robust silicon-based MEA chip opens up the possibility of a fully integrated microfluidic system for ultrahigh-sensitivity and ultrahigh-throughput proteomics and metabolomics.
Rooted in structural dynamics theory, a simplified procedure, denoted as static analysis procedure, is presented for estimating seismic demands for bridges crossing fault-rupture zones and deforming into their inelastic range. This procedure estimates the total seismic demand by superposing peak values of quasi-static and dynamic parts. The peak quasi-static demand is computed by nonlinear static analysis of the bridge subjected to peak values of all support displacements applied simultaneously whereas the peak dynamic demand is estimated by linear static analysis of the bridge due to lateral forces appropriate for bridges crossing fault-rupture zones. This procedure is shown to provide estimates of seismic demands that are accurate enough to be useful for practical applications. Application of the static analysis procedure is illustrated through and example. Comments on a procedure currently being used by practicing engineers are also provided.
The original goal of this award was to develop a proteoglycan “chip” containing suitable oligosaccharides that could be used as substrates for glycosyltransferases involved in synthesis or proteoglycans in higher plant cell walls. We had previously developed a suite of cloned enzymes that could be used to cleave most of the relevant glycosidic linkages in plant cell walls. The next step, supported by the previous award and this award, was to produce a series of transgenic plants in which synthetic proteins were introduced that contained each of the known sequence motifs that induce prolyl hydroxylation, and subsequent glycosylation. This work was completed and published in Estevez et al (2006). We then engaged on a series of experiments to define the properties of the prolyl hydroxylases that convert certain prolyl resides to hydroxyproline for subsequent glycosylation. This proved to be a challenging goal that required recruitment of an international team of complementary skills and several additional years or research. However, the effort was successful and has been published in Science recenty (Velasquez et al., 2011). In the course of this project, the postdoc supported by the award (Jose Estevez) was asked to provide technical assistance to a colleague at Stanford because of his expertise in marine polysaccharides. This led to the important discovery that marine algae have compounds that could be classified as lignin (Martone et al., 2009). Publications supported by the award Estévez, J.M., Kieliszewski, M.J., Khitrov, N., Somerville, C. (2006) Characterization of synthetic hydroxyproline-rich proteoglycans with AGP- and extensin-motifs in Arabidopsis. Plant Physiol., 142,458-470 Martone, P.T., Estevez, J.M., Lu, F., Ruel, K., Ralph, J., Denny, M.W., Somerville, C.R. (2009) Discovery of lignin in seaweed reveals convergent evolution of cell-wall architecture. Curr. Biol., 19, 169-175 Velasquez, S.M., M. Ricardi, M.M., Dorosz, J.G., Fernandez, P.V., Nadra, A.D., Pol-Fachin, L., Egelund, J., Gille, S., Harholt, J., Ciancia, M., Verli, H., Pauly, M., Bacic, A., Olsen, C.E., r Ulvskov, P., Petersen, B.L., Somerville, C., Iusem, N.D. & Estevez, J.M. (2011) O-glycosylated cell wall proteins are essential in root hair growth. Science 332,1401-1403
Abstract : We have developed a high-throughput miniature bioprocess array for the cultivation of microorganisms in a controlled, reproducible environment. The miniature bioprocess array is based on an array of 150-microliters wells, each one of which incorporates MEMS for the closed-loop control of cell culture parameters such as temperature, pH, and dissolved oxygen. The wells incorporate a suite of sensors, including interdigitated capacitors for cell density, thermopile temperature sensors, and oxygen sensors. Deep reactive-ion etched (DRIE) capacitive sensors enable new capabilities, such as the measurement of cell density in the bulk of the solution. Oxygen is generated by electrolysis, which also provides a means of mixing the solution in the well. Data acquisition, communication, and control will be implemented in foundry CMOS. A four-wire bus connects the electronic interface at each well to each other and to a battery, a clock serial input/output, and ground.
