Anharmonic Helmholtz free energy to O(lambdaâ ´) in the non- leading term approximation /|nby Leslie Wilk. -- 260 St. Catharines, Ont. : [s. n.],

Expressions for the anharmonic Helmholtz free energy contributions up to o( f ) ,valid for all temperatures, have been obtained using perturbation theory for a c r ystal in which every atom is on a site of inversion symmetry. Numerical calculations have been carried out in the high temperature limit and in the non-leading term approximation for a monatomic facecentred cubic crystal with nearest neighbour c entralforce interactions. The numbers obtained were seen to vary by a s much as 47% from thos e obtai.ned in the leading term approximati.on,indicating that the latter approximati on is not in general very good. The convergence to oct) of the perturbation series in the high temperature limit appears satisfactory.

Extracting Ramachandran torsional angle distributions from 2D NMR data using Tikhonov regularization /

Solid state nuclear magnetic resonance (NMR) spectroscopy is a powerful technique for studying structural and dynamical properties of disordered and partially ordered materials, such as glasses, polymers, liquid crystals, and biological materials. In particular, twodimensional( 2D) NMR methods such as ^^C-^^C correlation spectroscopy under the magicangle- spinning (MAS) conditions have been used to measure structural constraints on the secondary structure of proteins and polypeptides. Amyloid fibrils implicated in a broad class of diseases such as Alzheimer's are known to contain a particular repeating structural motif, called a /5-sheet. However, the details of such structures are poorly understood, primarily because the structural constraints extracted from the 2D NMR data in the form of the so-called Ramachandran (backbone torsion) angle distributions, g{^,'4)), are strongly model-dependent. Inverse theory methods are used to extract Ramachandran angle distributions from a set of 2D MAS and constant-time double-quantum-filtered dipolar recoupling (CTDQFD) data. This is a vastly underdetermined problem, and the stability of the inverse mapping is problematic. Tikhonov regularization is a well-known method of improving the stability of the inverse; in this work it is extended to use a new regularization functional based on the Laplacian rather than on the norm of the function itself. In this way, one makes use of the inherently two-dimensional nature of the underlying Ramachandran maps. In addition, a modification of the existing numerical procedure is performed, as appropriate for an underdetermined inverse problem. Stability of the algorithm with respect to the signal-to-noise (S/N) ratio is examined using a simulated data set. The results show excellent convergence to the true angle distribution function g{(j),ii) for the S/N ratio above 100.

The role of water in determining structure and function of macromolecules and macromolecular assemblies /

The interaction of biological molecules with water is an important determinant of structural properties both in molecular assemblies, and in conformation of individual macromolecules. By observing the effects of manipulating the activity of water (which can be accomplished by limiting its concentration or by adding additional solutes, "osmotic stress"), one can learn something about intrinsic physical properties of biological molecules as well as measure an energetic contribution of closely associated water molecules to overall equilibria in biological reactions. Here two such studies are reported. The first of these examines several species of lysolipid which, while present in relatively low concentrations in biomembranes, have been shown to affect many cellular processes involving membrane-protein or membrane-membrane interactions. Monolayer elastic constants were determined by combining X-ray diffraction and the osmotic stress technique. Spontaneous radii of curvature of lysophosphatidylcholines were determined to be positive and in the range +30A to +70A, while lysophosphatidylethanolamines proved to be essentially flat. Neither lysolipid significantly affected the bending modulus of the monolayer in which it was incorporated. The second study examines the role of water in theprocess of polymerization of actin into filaments. Water activity was manipulated by adding osmolytes and the effect on the equilibrium dissociation constant (measured as the criticalmonomer concentration) was determined. As water activity was decreased, the critical concentration was reduced for Ca-actin but not for Mg-actin, suggesting that 10-12 fewer water molecules are associated with Ca-actin in the polymerized state. Thisunexpectedly small amount of water is discussed in the context of the common structural motif of a nucleotide binding cleft.

Ethnic conflicts and international politics : an analysis of the communal regional, and global dimensions of the Cyprus problem

The thesis assesses the impact of international factors on relations between Greek and Turkish Cypriots during and after the Cold War. Through an analysis of the Cyprus problem it explores both why external actors intervene in communal conflicts and how they influence relations between ethnic groups in plural societies. The analytical framework employed throughout the study draws on contributions of International Relations theorists and students of ethnic conflict. The thesis argues that, as in the global political system, relations between ethnic groups in unranked communal systems are anarchic; that is, actors within the system do not recognize a sovereign political authority. In bipolar communal systems dominated by two relatively equal groups, the struggle for security and power often leads to appeals for assistance from external actors. The framework notes that neighboring states and Great Powers may heed calls for assistance, or intervene without a prior request, if it is in their interest to do so. The convergence of regional and global interests in communal affairs exacerbates ethnic conflicts and precludes the development of effective political institutions. The impact of external intervention in ethnic conflicts has the potential to alter the basis of communal relations. The Cyprus problem is examined both during and after the Cold War in order to gauge how global and regional actors and the structure of their respective systems have affected relations between ethnic groups in Cyprus. The thesis argues that Cyprus's descent into civil war in 1963 was due in part to the entrenchment of external interests in the Republic's constitution. The study also notes that power politics involving the United States, Soviet Union, Greece and Turkey continued to affect the development of communal relations throughout the 1960s, 70s, and, 80s. External intervention culminated in July and August 1974, after a Greek sponsored coup was answered by Turkey's invasion and partition of Cyprus. The forced expulsion of Greek Cypriots from the island's northern territories led to the establishment of ethnically homogeneous zones, thus altering the context of communal relations dramatically. The study also examines the role of the United Nations in Cyprus, noting that its failure to settle the dispute was due in large part to a lack of cooperation from Turkey, and the United States' and Soviet Union's acceptance of the status quo following the 1974 invasion and partition of the island. The thesis argues that the deterioration of Greek-Turkish relations in the post-Cold War era has made a solution to the dispute unlikely for the time being. Barring any dramatic changes in relations between communal and regional antagonists, relations between Greek and Turkish Cypriots will continue to develop along the lines established in July/August 1974. The thesis concludes by affirming the validity of its core hypotheses through a brief survey of recent works touching on international politics and ethnic conflict. Questions requiring further research are noted as are elements of the study that require further refinement.