The binding energy of the tritium nucleus is calculated by the variational method, using static repulsive core potentials. / Thesis / Master of Science (MSc)

<p> A repulsive meson-meson interaction was suggested many years ago (1951 by Schiff) as a possible mechanism for nuclear saturation, but very little has been done since then. This is mainly because the meson field equation becomes nonlinear due to the meson-meson interaction. We realized that the nonlinear field equation is analytically solvable, within classical and adiabatic approximations, if the space is reduced to a one-dimensional one. Within the above context we investigate the effect of the meson-meson interaction on nuclear forces. The approximations which Schiff used are critically examined. A variational method for determining the meson field, which Schiff suggested but did not fully investigate, is found to be a very efficient approximation. Finally, quantum corrections are briefly examined.</p> / Thesis / Master of Science (MSc)

This thesis presents the design and development of a novel two-axis micromirror utilizing electrostatic, repulsive-force rotational actuators for laser scanned vector display systems. The micromirror consists of a 1.0 mm reflective mirror plate that can be rotated at high speeds to steer a laser beam to generate images. Fabricated using PolyMUMPs, the micromirror is operated in a non-resonant mode between 0 V and 200 V and can achieve a maximum optical scanning angle of ±2.6° in each axis with a settling time as fast as 2.75 ms and a first resonant frequency of 1400 Hz. Open-loop control methods were developed for image correcting and improving image quality. The micromirror was integrated into a portable, handheld vector display device which included designing and developing driving circuits, device firmware, mechanical components and optical components.

This thesis describes the development of a MEMS repulsive actuator capable of producing a large out-of-plane force. Existing MEMS repulsive actuators are low out-of-plane force actuators that are unable to support or lift a mass of 1 mg. A high force MEMS repulsive actuator was developed to overcome this limitation. The design was optimized employing parameters of the actuator’s fingers to increase the out-of-plane force. A design was developed based on the analytical results derived from extending the mathematical model of an existing actuator. A commercial manufacturing process, PolyMUMPs, was used to fabricate a prototype which was tested to validate the analytical and computational results. The prototype achieved an out-of-plane displacement of 15 µm and a 0.2° angular rotation. The resonance frequency was 120 Hz, and the rise and fall times were measured as 14.5 ms and 3625 ms (3.6 sec), respectively. The estimated out-of-plane force is 40 µN.

This thesis presents the design and development of a novel two-axis micromirror utilizing electrostatic, repulsive-force rotational actuators for laser scanned vector display systems. The micromirror consists of a 1.0 mm reflective mirror plate that can be rotated at high speeds to steer a laser beam to generate images. Fabricated using PolyMUMPs, the micromirror is operated in a non-resonant mode between 0 V and 200 V and can achieve a maximum optical scanning angle of ±2.6° in each axis with a settling time as fast as 2.75 ms and a first resonant frequency of 1400 Hz. Open-loop control methods were developed for image correcting and improving image quality. The micromirror was integrated into a portable, handheld vector display device which included designing and developing driving circuits, device firmware, mechanical components and optical components.

This thesis describes the development of a MEMS repulsive actuator capable of producing a large out-of-plane force. Existing MEMS repulsive actuators are low out-of-plane force actuators that are unable to support or lift a mass of 1 mg. A high force MEMS repulsive actuator was developed to overcome this limitation. The design was optimized employing parameters of the actuator’s fingers to increase the out-of-plane force. A design was developed based on the analytical results derived from extending the mathematical model of an existing actuator. A commercial manufacturing process, PolyMUMPs, was used to fabricate a prototype which was tested to validate the analytical and computational results. The prototype achieved an out-of-plane displacement of 15 µm and a 0.2° angular rotation. The resonance frequency was 120 Hz, and the rise and fall times were measured as 14.5 ms and 3625 ms (3.6 sec), respectively. The estimated out-of-plane force is 40 µN.

No description available.

The variational parameters, ro,P,Q, in the expansion k cotσ = -1/a + rok^2-Pr^3ok^4+Qr^5ok^6 link theory and experiment. Using "experimental" values of a and ro, P is calculated in both the 1s and 3s neutron-proton states, for the square, gaussian, exponential, and Yukawa wells with repulsive cores. Comparison of the theoretical values of f with values derived from experiment indicates that the potential shape is at least as singular as the Yukawa (1/r), and that if a core exists, it is small, of the order of .1 or .2x10-^13cm. Q is calculated in the 1s state for the square and Yukawa wells with repulsive cores, and found to be so small as to be undefined by the present experimental data. / Thesis / Master of Science (MSc)

Proteins are the most important molecules in the cell since they take care of most of the biological functions which resemble life. To ensure that everything is working properly the cell has a rigorous control system to monitor the proper function of its proteins and sends old or dysfunctional proteins for degradation. Unfortunately, this system sometimes fails and the once so vital proteins start to misbehave or to accumulate and in the worst case scenario these undesired processes cause the death of their host. One example is Amyotrophic Lateral Sclerosis (ALS); a progressive and always fatal neurodegenerative disorder that is proposed to derive from accumulation of aberrant proteins. Over 140 mutations in the human gene encoding the cytosolic homodimeric enzyme Cu/Zn-Superoxide Dismutase (SOD1) are linked to ALS. The key event in SOD1 associated ALS seems to be the pathological formation of toxic protein aggregates as a result of initially unfolded or partly structured SOD1-mutants. Here, we have compared the folding behaviour of a set of ALS associated SOD1 mutants. Based on our findings we propose that SOD1 mediated ALS can be triggered by a decrease in protein stability but also by mutations which reduce the net charge of the protein. Both findings are in good agreement with the hypothesis for protein aggregation. SOD1 has also been found to be able to interact with mitochondrial membranes and SOD1 inclusions have been detected in the inter-membrane space of mitochondria originating from the spinal cord. The obvious question then arose; does the misfolding and aggregation of SOD1 involve erroneous interactions with membranes? Here, we could show that there is an electrostatically driven interaction between the reduced apo SOD1 protein including ALS associated SOD1-mutants and charged lipid membrane surfaces. This association process changes the secondary structures of these mutants in a way quite different from the situation found in membrane free aqueous environment. However, the result show that mutants interact with charged lipid vesicles to lesser extent than wildtype SOD1. This opposes the correlation between decreased SOD1 stability and disease progression. We therefore suggest that the observed interaction is not a primary cause in the ALS mechanism.

Force fields of 3d objects are used for different purposes in computer graphics as skeletonization and collision detection. In this paper we present a novel method to approximate the force field of a discrete 3d object in linear time. Similar to the distance transformation we define a rule that describe how the forces associated with boundary points are propagated into the interior of the object. The result of this propagation depends on the order in which the points of the object are processed. Therefore we analyze how to obtain an order-invariant approximation formula. For a chosen iteration order (i, j, k) the set of boundary points that influence the force of a particular point p of the object can be described by a spatial region Rijk. The geometries of these regions are characterized both for the Cartesian and the body-centered cubic grid (bcc grid). We show that in the case of the bcc grid these regions can be combined in such a way that E3 is uniformly covered which basically means that each boundary point is contained in the same number of regions. Based on the covering an approximation formula for the force field is proposed that has linear complexity and gives good results for standard objects. We also show that such a uniform covering can not be built from the regions of influence of the Cartesian grid. With our method it becomes possible to use features of the force field for a fast and topology preserving skeletonization. We use a thinning strategy on the bcc grid to compute the skeleton and ensure that critical points of the force field are not removed. This leads to improved skeletons with respect to the properties of centeredness and rotational invariance.