## Search

Now showing items 1-10 of 17

#### Atherosclerosis and calcium signalling in endothelial cells

(University of Canterbury. Dept. of Mathematics and Statistics, 2004)

The link between atherosclerosis and regions of disturbed flow and low wall shear
stress is now firmly established, but the causal mechanisms underlying the link are not
yet understood. It is now recognised that the ...

#### Regulation of transendothelial low-density lipoprotein transmission by fluid shear stress

(University of Canterbury. Dept. of Mathematics and Statistics, 2004)

The link between atherosclerosis and regions of disturbed flow and
low wall shear stress is now firmly established, but the causal mechanisms
underlying the link are not yet understood. A crucial factor in the
early ...

#### Grover's quantum algorithm applied to global optimisation

(University of Canterbury. Dept. of Mathematics and Statistics, 2004)

Grover's quantum computational search procedure can provide the basis for implementing
adaptive global optimisation algorithms. A brief overview of the procedure is given and a
framework called Grover Adaptive Search is ...

#### Computing the minimum number of hybridisation events for a consistent evolutionary history

(University of Canterbury, 2004)

It is now well-documented that the structure of evolutionary relationships between a set of present-day species is not necessarily tree-like. The reason for this is that reticulation events such as hybridisations mean that ...

#### Identifying phylogenetic trees

(University of Canterbury, 2004)

A central problem that arises in evolutionary biology is that of displaying partitions of subsets of a finite set X on a tree whose vertices are partially labelled with the elements of X. Such a tree is called an X-tree ...

#### Bounding the number of hybridisation events for a consistent evolutionary history

(University of Canterbury, 2004)

Evolutionary processes such as hybridisation, lateral gene transfer, and recombination are all key factors in shaping the structure of genes and genomes. However, since such processes are not always best represented by ...

#### Identifying X-trees with few characters

(University of Canterbury, 2004)

Previous work has shown the perhaps surprising result that, for any binary phylogenetic tree T, there is a set of four characters that define T. Here we deal with the general case, where T is an arbitrary X-tree. We show ...

#### Spanning and sampling in Lebesgue and Sobolev spaces

(University of Canterbury, 2004)

We establish conditions under which the small-scale affine system {𝜓(𝑎j 𝑥 - 𝑘) : j ≥ J, 𝑘 ∈ℤᵈ}, with J∈ℤ fixed, spans the Lebesgue space 𝐿ᵖ(ℝᵈ) and the Sobolev space 𝑊ᵐ,ᵖ(ℝᵈ), 1 ≤ 𝑝 < ∞. The dilation matrices 𝑎j ...

#### On a functional equation model of transient cell-growrh

(University of Canterbury, 2004)

A cell-growth model with applications to modelling the size distribution of diatoms is examined.
The analytic solution to the model without dispersion is found and is shown to display
periodic exponential growth rather ...

#### Phylogenetic diversity and the greedy algorithm

(University of Canterbury, 2004)

Given a phylogenetic tree with leaves labelled by a collection of
species, and with weighted edges, the 'phylogenetic diversity' of any subset of
the species is the sum of the edge weights of the minimal subtree ...