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Now showing items 1-10 of 73

#### Modelling of the mechanisms governing crimp in wool

(University of Canterbury. Mathematics and Statistics, 2003)

This thesis considers modelling one of the mechanisms, which governs the formation of wool fibres. The problem is investigated by constructing a mathematical model that is based on the geometry of the ultrastructure of the ...

#### Modelling spiral waves in Xenopus laevis oocyte

(University of Canterbury. Mathematics and Statistics, 1997)

An investigation was made into the spiral waves solutions for the Atri et al model, a partial differential equation model for Ca²⁺ dynamics in the Xenopus laevis oocyte. Spiral wave solutions, both stable and unstable, ...

#### A bifurcation analysis of a multi compartment plankton-zooplankton-nutrient interaction.

(University of Canterbury. Mathematics and Statistics, 2004)

This thesis concentrates on understanding the long term behaviour of a multi-compartment phytoplankton-zooplankton-nutrient interaction. A variable-yield model is considered, in which the rate of carbon uptake by phytoplankton ...

#### Trees and terraces.

(University of Canterbury, 2016)

The reconstruction of evolutionary trees from data sets on overlapping sets of species
is a central problem in phylogenetics. Provided that the tree reconstructed for each subset
of species is rooted and that these trees ...

#### Mathematical models of pituitary corticotrophs and perifusion experiments

(University of Canterbury. Mathematics, 2000)

It is well known that stress is an unavoidable and potentially harmful fact of life. Indeed mental stress is becoming recognised as a predominant factor behind many illnesses and deaths in industrialised nations. However ...

#### Right orders in full linear rings

(University of Canterbury. Mathematics, 1971)

The thesis is a study of right orders in a (left) full linear ring Q = HomD(V,V), V a right vector space over a division ring D. Chapter I, as well as summarizing known results needed in the sequel, outlines the method of ...

#### On Reductive Subgroups of Algebraic Groups and a Question of Külshammer

(University of Canterbury. Mathematics and Statistics, 2013)

This Thesis is motivated by two problems, each concerning representations (homomorphisms)
of groups into a connected reductive algebraic group G over an algebraically
closed field k. The first problem is due to B. ...

#### Miura transformations and symmetry groups of differential equations

(University of Canterbury. Mathematics, 1993)

The main aim of this work is to develop a generalization of the Miura transformation based on symmetry groups of differential equations. Some applications of the resulting transformations are presented.
The central idea ...

#### Quadratic approximation and its application to acceleration of convergence

(University of Canterbury. Mathematics, 1982)

This thesis is a study of quadratic approximation and its application to the acceleration of slowly converging sequences arising, in particular, from the numerical integration of an (improper) integral with singularity.
...

#### Empirical Bayes with a changing prior

(University of Canterbury. Mathematics, 1979)

This thesis examines a modified empirical Bayes decision problem in which the a priori distribution is assumed to change with each successive component problem. Firstly, the usual empirical Bayes problem and associated ...