Resonators for In Vivo Imaging: Practical Experience

Resonators for preclinical electron paramagnetic resonance imaging have been designed primarily for rodents and rabbits and have internal diameters between 16 and 51 mm. Lumped-circuit resonators include loop-gap, Alderman–Grant, and saddle coil topologies and surface coils. Bimodal resonators are useful for isolating the detected signal from incident power and reducing dead time in pulse experiments. Resonators for continuous wave, rapid scan, and pulse experiments are described. Experience at the University of Chicago and University of Denver in design of resonators for in vivo imaging is summarized.     

A Pulse EPR 25 mT Magnetometer with 10 ppm Resolution

A magnetometer designed for permanent magnet manufacturing and operated around 25 mT with 10 ppm absolute accuracy is described. The magnetometer uses pulse electron paramagnetic resonance methodology. The use of a pulsed broadband acquisition allowed reliable measurements in the presence of the magnetic field gradient and in relatively inhomogeneous magnetic fields of un-shimmed magnets.     

Supramolecular Self-Sorting Networks using Hydrogen-Bonding Motifs

A current objective in supramolecular chemistry is to mimic the transitions between complex self-sorted systems that represent a hallmark of regulatory function in nature. In this work, a self-sorting network, comprising linear hydrogen motifs, was created. Selecting six hydrogen-bonding motifs capable of both high-fidelity and promiscuous molecular recognition gave rise to a complex self-sorting system, which included motifs capable of both narcissistic and social self-sorting. Examination of the interactions between individual components, experimentally and computationally, provided a rationale for the product distribution during each phase of a cascade. This reasoning holds through up to five sequential additions of six building blocks, resulting in the construction of a biomimetic network in which the presence or absence of different components provides multiple unique pathways to distinct self-sorted configurations.     

Oracles and Query Lower Bounds in Generalised Probabilistic Theories

We investigate the connection between interference and computational power within the operationally defined framework of generalised probabilistic theories. To compare the computational abilities of different theories within this framework we show that any theory satisfying four natural physical principles possess a well-defined oracle model. Indeed, we prove a subroutine theorem for oracles in such theories which is a necessary condition for the oracle model to be well-defined. The four principles are: causality (roughly, no signalling from the future), purification (each mixed state arises as the marginal of a pure state of a larger system), strong symmetry (existence of a rich set of nontrivial reversible transformations), and informationally consistent composition (roughly: the information capacity of a composite system is the sum of the capacities of its constituent subsystems). Sorkin has defined a hierarchy of conceivable interference behaviours, where the order in the hierarchy corresponds to the number of paths that have an irreducible interaction in a multi-slit experiment. Given our oracle model, we show that if a classical computer requires at least n queries to solve a learning problem, because fewer queries provide no information about the solution, then the corresponding “no-information” lower bound in theories lying at the kth level of Sorkin’s hierarchy is \(\lceil {n/k}\rceil \). This lower bound leaves open the possibility that quantum oracles are less powerful than general probabilistic oracles, although it is not known whether the lower bound is achievable in general. Hence searches for higher-order interference are not only foundationally motivated, but constitute a search for a computational resource that might have power beyond that offered by quantum computation.     

Influence of soil and vehicle parameters on soil rut formation

Soil and vehicle parameters have significant effects on soil rut formation. A randomized design was used to investigate the effects of five treatments: soil texture, soil moisture, vehicle type, turning radius and velocity, on rut depth, rut width and rut index, which measure the degree of soil disturbance. This vehicle rutting study was conducted on four off-road military vehicles under two soil moisture conditions and two soil texture conditions at Fort Riley, Kansas. A GPS-based vehicle tracking system was used to track the vehicle dynamics, and rut measurements were taken manually. SAS 9.1 was used to investigate the effects of soil and vehicle parameters on rut formation. Results show that all the vehicle parameters (vehicle type, weight, velocity and turning radius) and soil parameters (soil texture and moisture) are statistically significant to affect rut formation.     

Hydrodynamic attraction of swimming microorganisms by surfaces

Cells swimming in confined environments are attracted by surfaces. We measure the steady-state distribution of smooth-swimming bacteria (Escherichia coli) between two glass plates. In agreement with earlier studies, we find a strong increase of the cell concentration at the boundaries. We demonstrate theoretically that hydrodynamic interactions of the swimming cells with solid surfaces lead to their reorientation in the direction parallel to the surfaces, as well as their attraction by the closest wall. A model is derived for the steady-state distribution of swimming cells, which compares favorably with our measurements. We exploit our data to estimate the flagellar propulsive force in swimming E. coli.     

Meeting the Needs of Diverse Student Populations: Comprehensive Professional Development in Science,Math, and Technology for Teachers of Students With Disabilities

Professional development for teachers has become a key component for reform in teaching, learning, and curriculum change. This report describes a model of professional development designed to improve the skills and knowledge of teams of special education and regular education teachers in science, mathematics, and technology instruction. The comprehensive model included summer and academic year content and methodology-focused workshops and summer “practician” experiences. It was designed to link those factors impacting teacher practices and interventions with teachers' beliefs in instruction. The training component for teachers included opportunities for collaborative teaching, upgrading knowledge of math and science subject matter, and identifying, integrating, and practicing alternative approaches for teaching science and math that address the needs of special education students, with a focus on techniques for adapting instruction to specific disabilities. The program led to development of coping skills and persistence in the teaching of science and math for all students. As a result, strong efficacy expectations have been developed through repeated experiences of success with children in a classroom environment. Remaining issues still to be addressed include classroom management, teaching in a heterogeneous classroom, and further improvement of content expertise of teachers.     

Paracompactness of Metric Spaces and the Axiom of Multiple Choice

The axiom of multiple choice implies that metric spaces are paracompact but the reverse implication cannot be proved in set theory without the axiom of choice.