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Now showing items 1-10 of 12

#### 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 ...

#### 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 ...

#### 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 ...

#### Fast algorithms and preconditioning techniques for fitting radial basis functions.

(University of Canterbury. Mathematics and Statistics, 2001)

Radial basis functions are excellent interpolators for scattered data in Rd. Previously the use of RBFs had been restricted to small or medium sized data sets due to the high computational cost of solving the interpolation ...

#### Stochastic speciation models for evolutionary trees.

(University of Canterbury. Mathematics and Statistics, 2000)

Phylogenetic trees are widely used in biology to represent evolutionary relationships between species. As the details of the evolutionary process are mostly unknown, modelling work on the shapes of these trees has had to ...

#### Recognising two planar objects under a projective transformation

(University of Canterbury. Mathematics and Statistics, 2001)

This thesis involves solving problems associated with object recognition
for two dimensional images under a projective transformation.
In order to recognise an object under any viewing angle requires invariant
features ...

#### The Application of Atheoretical Regression Trees to Problems in Time Series Analysis

(University of Canterbury. Mathematics and Statistics, 2008)

This thesis applies Atheoretical Regression Trees (ART) to the
problem of locating changes in mean in a time series where the
number and location of those changes are unknown. We undertook
an extensive simulation study ...

#### Combinatorial Aspects of Leaf-Labelled Trees

(University of Canterbury. Mathematics and Statistics, 2008)

Leaf-labelled trees are used commonly in computational biology and in other disciplines, to depict the ancestral relationships and present-day similarities between both extant and extinct species. Studying these trees from ...

#### Compactness Under Constructive Scrutiny

(University of Canterbury. Mathematics and Statistics, 2008)

The aim of this thesis is to understand the constructive scope of compactness.
We show that it is possible to deﬁne, constructively, a meaningful notion of compactness in a more general setting than the uniform/metric ...

#### Cell-population growth modelling and nonlocal differential equations

(University of Canterbury. Mathematics and Statistics, 2007)

Aspects of the asymptotic behaviour of cell-growth models described by partial differential equations, and systems of partial differential equations, are considered. The models considered describe the evolution of the ...