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Now showing items 1-10 of 29

#### The quantification and visualisation of human flourishing.

(University of Canterbury. School of Mathematics and Statistics, 2015)

Economic indicators such as GDP have been a main indicator of human progress since the first half of last century. There is concern that continuing to measure our progress and / or wellbeing using measures that encourage ...

#### Ordinal and convex assumptions in phylogenetic tree reconstruction

(University of Canterbury. School of Mathematics and Statistics, 2014)

Phylogenetics is a field primarily concerned with the reconstruction of the evolutionary history of present day species. Evolutionary history is often modeled by a phylogenetic tree, similar to a family tree. To recreate ...

#### Mathematical modelling of the arterial cellular communication.

(University of Canterbury, 2016)

A study of the arterial cellular communication may be regarded as of greatest importance
for understanding cellular physiology and its consequences leading to pathological
states of the human arterial diseases. However, ...

#### Anti-Specker Properties in Constructive Reverse Mathematics

(University of Canterbury. Department of Mathematics and Statistics, 2013)

Constructive reverse mathematics is a programme in which non- and semi-constructive principles are classified in accordance with which other principles they imply or are implied by, relative to the framework of Bishop-style ...

#### Separability and complete reducibility of subgroups of the Weyl group of a simple algebraic group

(University of Canterbury. Mathematics and Statistics, 2012)

Let G be a reductive algebraic group defined over an algebraically closed field of characteristic p. A subgroup H of G is called G-complete reducible whenever H is contained in a parabolic subgroup P of G, it is contained ...

#### Aspects of Matroid Connectivity

(University of Canterbury. School of Mathematics and Statistics, 2014)

Connectivity is a fundamental tool for matroid theorists, which has become increasingly important in the eventual solution of many problems in matroid theory. Loosely speaking, connectivity can be used to help describe a ...

#### 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. ...

#### Mathematical Modelling of Cancer Cell Population Dynamics

(University of Canterbury. Mathematics and Statistics, 2012)

Mathematical models, that depict the dynamics of a cancer cell population growing out of the human body (in vitro) in unconstrained microenvironment conditions, are considered in this thesis. Cancer cells in vitro grow and ...

#### Sangaku: A Mathematical, Artistic, Religious, and Diagrammatic Examination

(University of Canterbury, 2016)

Between the 17th and 19th centuries, mathematically orientated votive tablets appeared
in Shinto shrines and Buddhist temples all over Japan. Known as sangaku, they contained
problems of a largely geometrical nature.
The ...

#### Spatial moment models for collective cell behaviour

(University of Canterbury, 2016)

The ability of cells to undergo collective movement plays a fundamental role in tissue
repair, development and cancer. Interactions occurring at the level of individual cells may
give rise to spatial structure, such as ...