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Overcoming Geometric Limitations in the Finite Element Method by Means of Polynomial Extension: Application to Second Order Elliptic Boundary Value and Interface Problems
In this dissertation, we present a new approach for approximating the solution of second order partial differential equations and interface problems. This approach is based on the classical finite element method, where instead of using...
Computational neuroscience is a relatively new area that utilizes the computational analyses of neural systems as well as development of mathematical models. Analyses of neural systems help us to gain a deeper understanding of how...
Several models of new physics yield particles that are massive, long-lived, and have an electric charge, Q, greater than that of the electron, e. A search for evidence of such particles was performed using 5.0 fb-1 and 18.8 fb-1 of...
The brain is one of nature's greatest mysteries. The mechanism by which the folds of the brain's cerebral cortex, called gyri (hills) and sulci (valleys), are formed remains unknown. Existing biological hypotheses that attempt to explain...
We have studied the effect of diffusion on the dynamics of desorption on a lattice-gas model The chemical potential during the adsorption phase was varied in order to vary the initial size distribution for the desorption phase. The...
Circadian rhythms are 24-hour daily rhythms in transcription, translation, hormone release, electrical activity, and other behaviors. Rhythms are primarily generated in different brain areas and tissues by input from the suprachiasmatic...
Nuclei in the light rare-earth, for values of N ≥ 90, are textbook examples of the evolution of nuclear structure with respect to excitation energy and angular momentum in deformed nuclei. In the high-spin region (J ≥ 10ħ), effects such...
Plasma insulin measurements from mice, rats, dogs, and humans indicate that insulin levels are oscillatory, reflecting pulsatile insulin secretion from individual islets. An unanswered question, however, is how the activity of a...
We explore the symmetries and systematics of the mass spectrum of hadrons with two heavy quarks. We also apply these symmetries to the strong decays of baryons with two heavy quarks. We explore the ramifications of a proposed symmetry...
Like nerve and many other endocrine cells, pancreatic beta-cells are electrically excitable and produce electrical impulses in response to elevations in glucose. These electrical impulses typically come in the form of bursting. One type...
The cerebral cortex is a thin folded sheet of neural tissue forming the outmost layer of the cerebrum (brain). Several biological hypotheses have suggested dierent mechanisms involved the development of its folding pattern into sulci ...
A study has been carried out on F-actin self-assembly to address various questions regarding the mechanisms for assembly and the properties of the assembled system. We are interested in two Factin self-assembly mechanisms, counter-ion...
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