Development of New Stimuli-Responsive Vesicles Using A Novel Surfactant

Many amphiphilic molecules (surfactants) possess the ability to aggregate in aqueous solution to form thermodynamically stable aggregates that have potential for use as molecule containers and delivery systems in analytical or pharmaceutical applications. However, it is difficult to release the encapsulated molecules from these aggregates under a controllable manner, and this problem has dramatically limited the application of these aggregated systems. This study addresses this problem through fundamental structure modification by development of a novel redox stimuli-responsive amphiphile capable of forming vesicle aggregates. Aggregate structure can be adjusted through redox stimulation. The release of agents from the core of the aggregates containers can be controlled by the same mechanism. The novel surfactant molecule, Q9 (Figure 1.3), containing a redox stimuli-responsive moiety was synthesized through seven synthetic steps for this purpose (Chapter 3). The molecular structures were characterized by 1H NMR and mass spectrometry analysis methods. Properties of Q9 in aqueous solution were studied (Chapter 4). The pH sensitivity of Q9 was explored in a variety of phosphate-buffered saline (PBS) solutions with UV-vis measurements and 1H NMR experiments; from these studies, suitable pH value was determined for Q9 vesicle formation. The stimuli-responsive mechanism of Q9 was confirmed by 1H NMR kinetic studies. The critical aggregation concentration (CAC) was determined by surface tension measurements. Q9 vesicles were formed by the extrusion technique (Chapter 5). Vesicle characterizations were evaluated using transmission electron microscopy, light scattering, cryo-electron microscopy and asymmetrical flow field-flow fractionation. Q9 vesicles were used to encapsulate the model guest calcein (Chapter 6). Size-exclusion chromatography was used to isolate Q9 vesicles containing dye calcein. The successful release of calcein from Q9 vesicles was triggered by use of a chemical reducing agent as observed by the time-dependent increase in calcein fluorescence. Based on the data, it appears that the loading volume and number density of Q9 vesicles dictates their capabilities as an efficient molecule delivery system

An Urban Accounting for Geographic Concentration of Skills and Welfare Inequality

Using Jones (2014) generalized human capital accounting, we extend the urban accounting model of Desmet and Rossi-Hansberg (2013) to account for the geographic distribution of skills across US metropolitan areas. The methodology allows the productivity of high-skill workers to depend on location advantage and local skill mix; the latter also determines the productivity of low-skill workers. Urban friction, rising with population size, reduces worker consumption relative to their wage income. Amenities for high-skill and low-skill workers in each city are calibrated so that the utility for each skill type is equalized across cities. We examine counterfactual skill-mix distribution across cities and welfare gap between the skill groups by shutting down spatial heterogeneity in location advantage, amenity and excess friction respectively. We show that skill mix becomes more even across cities absent heterogeneity in location advantages or in excess friction but it becomes more dispersed absent amenity heterogeneity. The welfare gap widens when heterogeneity in any of the three factors is eliminated. The generalized urban accounting model can shed light on the causes of increased concentration of skilled workers in large cities in US highlighted by E. Moretti (2008) and Diamond (2012) and the implications for welfare gap between the skill groups

Towards a System Theoretic Approach to Wireless Network Capacity in Finite Time and Space

In asymptotic regimes, both in time and space (network size), the derivation of network capacity results is grossly simplified by brushing aside queueing behavior in non-Jackson networks. This simplifying double-limit model, however, lends itself to conservative numerical results in finite regimes. To properly account for queueing behavior beyond a simple calculus based on average rates, we advocate a system theoretic methodology for the capacity problem in finite time and space regimes. This methodology also accounts for spatial correlations arising in networks with CSMA/CA scheduling and it delivers rigorous closed-form capacity results in terms of probability distributions. Unlike numerous existing asymptotic results, subject to anecdotal practical concerns, our transient one can be used in practical settings: for example, to compute the time scales at which multi-hop routing is more advantageous than single-hop routing

Mating Siegel and parabolic quadratic polynomials

Let $f_\theta(z)=e^{2\pi i\theta}z+z^2$ be the quadratic polynomial having an indifferent fixed point at the origin. For any bounded type irrational number $\theta\in\mathbb{R}\setminus\mathbb{Q}$ and any rational number $\nu\in\mathbb{Q}$, we prove that $f_\theta$ and $f_\nu$ are conformally mateable, and that the mating is unique up to conjugacy by a M\"{o}bius map. This gives an affirmative (partial) answer to a question raised by Milnor in 2004. A crucial ingredient in the proof relies on an expansive property when iterating certain rational maps near Siegel disk boundaries. Combining this with the expanding property in repelling petals of parabolic points, we also prove that the Julia sets of a class of Siegel rational maps with parabolic points are locally connected.Comment: 40 pages, 9 figure

Allocating Limited Resources to Protect a Massive Number of Targets using a Game Theoretic Model

Resource allocation is the process of optimizing the rare resources. In the area of security, how to allocate limited resources to protect a massive number of targets is especially challenging. This paper addresses this resource allocation issue by constructing a game theoretic model. A defender and an attacker are players and the interaction is formulated as a trade-off between protecting targets and consuming resources. The action cost which is a necessary role of consuming resource, is considered in the proposed model. Additionally, a bounded rational behavior model (Quantal Response, QR), which simulates a human attacker of the adversarial nature, is introduced to improve the proposed model. To validate the proposed model, we compare the different utility functions and resource allocation strategies. The comparison results suggest that the proposed resource allocation strategy performs better than others in the perspective of utility and resource effectiveness.Comment: 14 pages, 12 figures, 41 reference

Impulsive control of nonlinear systems with impulse time window and bounded gain error

In this paper, we establish a new sufficient condition for the stability of impulsive systems with impulse time window and bounded gain error. The proposed result is more general and more applicable than some existing results. Finally, a numerical example is given to show the effectiveness of our result

Quasar Photometric Redshifts and Candidate Selection: A New Algorithm Based on Optical and Mid-Infrared Photometric Data

We present a new algorithm to estimate quasar photometric redshifts (photo-$z$s), by considering the asymmetries in the relative flux distributions of quasars. The relative flux models are built with multivariate Skew-t distributions in the multi-dimensional space of relative fluxes as a function of redshift and magnitude. For 151,392 quasars in the SDSS, we achieve a photo-$z$ accuracy, defined as the fraction of quasars with the difference between the photo-$z$ $z_p$ and the spectroscopic redshift $z_s$, $|\Delta z| = |z_s-z_p|/(1+z_s)$ within 0.1, of 74%. Combining the WISE W1 and W2 infrared data with the SDSS data, the photo-$z$ accuracy is enhanced to 87%. Using the Pan-STARRS1 or DECaLS photometry with WISE W1 and W2 data, the photo-$z$ accuracies are 79% and 72%, respectively. The prior probabilities as a function of magnitude for quasars, stars and galaxies are calculated respectively based on (1) the quasar luminosity function; (2) the Milky Way synthetic simulation with the Besan\c{c}on model; (3) the Bayesian Galaxy Photometric Redshift estimation. The relative fluxes of stars are obtained with the Padova isochrones, and the relative fluxes of galaxies are modeled through galaxy templates. We test our classification method to select quasars using the DECaLS $g$, $r$, $z$, and WISE W1 and W2 photometry. The quasar selection completeness is higher than 70% for a wide redshift range $0.5<z<4.5$, and a wide magnitude range $18<r<21.5$ mag. Our photo-$z$ regression and classification method has the potential to extend to future surveys. The photo-$z$ code will be publicly available.Comment: 22 pages, 17 figure, accepted by AJ. The code is available at https://doi.org/10.5281/zenodo.101440