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Now showing items 1-10 of 16

#### 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 ...

#### 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 ...

#### Embeddable Spherical Circle Planes

(University of Canterbury. Mathematics and Statistics, 2009)

Spherical circle planes are topological incidence geometries; one has a 2-
sphere P and a collection of 1-spheres in P such that any three points in P determine
exactly one of these 1-spheres (the ‘circles’ of the spherical ...

#### 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 ...

#### 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 ...

#### 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 ...

#### Radial Basis Functions Applied to Integral Interpolation, Piecewise Surface Reconstruction and Animation Control

(University of Canterbury. Mathematics and Statistics, 2009)

This thesis describes theory and algorithms for use with Radial Basis Functions (RBFs), emphasising techniques motivated by three particular application areas.
In Part I, we apply RBFs to the problem of interpolating ...

#### 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 ...

#### Evolution of Tandemly Repeated Sequences

(University of Canterbury. Mathematics & Statistics, 2009)

Despite being found in all presently sequenced genomes, the evolution of tandemly repeated sequences has only just begun to be understood. We can represent the duplication history of tandemly repeated sequences with ...

#### 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 ...