## Search

Now showing items 1-10 of 109

#### Analyzing and reconstructing reticulation networks under timing constraints

(University of Canterbury. Dept. of Mathematics and Statistics., 2009)

Reticulation networks are now frequently used to model the history of life for various groups of organisms whose evolutionary past is likely to include reticulation events like horizontal gene transfer
or hybridization. ...

#### 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 ...

#### RBF collocation

(University of Canterbury, 2002)

In recent years radial basis function collocation has become a useful alternative to finite
difference and finite element methods for solving elliptic partial differential equations. RBF
collocation methods have been ...

#### Replacing cliques by stars in quasi-media graphs

(University of Canterbury, 2002)

For a multi-set ∑ of splits (bipartitions) of a finite set X, we introduce the multi-split graph G(∑). This graph Is a natural extension of the Buneman graph. Indeed, it is shown that several results pertaining to the ...

#### Rota's basis conjecture for paving matroids

(University of Canterbury, 2006)

Rota conjectured that, given n disjoint bases of a
rank-n matroid M, there are n disjoint transversals of these bases
that are all bases of M. We prove a stronger statement for the
class of paving matroids.

#### Experimental and theoretical analysis of hybridization

(University of Canterbury, 2006)

We develop new heuristics and
an exact algorithm for calculating the
amount of hybridization between two
rooted binary phylogenetic trees. Calculating
the minimum number of hybridization
events is NP-hard, but essential ...

#### Chaos from simplicity : an introduction to the double pendulum

(University of Canterbury, 2008)

The fusion of two pendulums give rise to a simple mechanical system that on contrary to its deceptively
simple appearances exhibit extremely unpredictable and complex behaviour. The equations of motion
for the simple ...

#### A nonlinear model of size-structured populations with applications to cell cycles

(University of Canterbury, 2006)

The Sharpe-Lotka-McKendrick (or von Foerster) equations for an age-structured population,
with a nonlinear term to represent overcrowding or competition for resources, are considered. The
model is extended to include a ...

#### Wild triangles in 3-connected matroids

(University of Canterbury, 2006)

Tutte's Triangle Lemma proves that if {a, b, c} is a triangle in a 3-connected matroid and neither M\a nor M\b is 3-connected, then M has a triad that contains a and exactly one of b and c. Hence {a, b, c} is contained in ...