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Now showing items 1-10 of 17

#### Two further links between MP and ML under the Poisson Model

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

Maximum parsimony and maximum likelihood are two contrasting approaches for reconstructing phylogenetic trees from sequence and character data. We establish analytic links between these methods (extending connections ...

#### Fork-decompositions of matroids

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

One of the central problems in matroid theory is Rota's conjecture
that, for all prime powers q, the class of GF(q)-representable matroids has a
finite set of excluded minors. This conjecture has been settled for q ≤ 4 ...

#### Counting consistent phylogenetic trees is #P-complete

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

Reconstructing phylogenetic trees is a fundamental task in evolutionary biology. Various algorithms exist for this purpose, many of
which come under the heading of `supertree methods'. These methods
amalgamate a collection ...

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

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

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

#### The structure of the 3-separations of 3-connected matroids

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

Tutte defined a k-separation of a matroid M to be a
partition (A,B) of the ground set of M such that ∣A∣,∣B∣ ≥ k and
r(A) + r(B) − r(M) < k. If, for all m < n, the matroid M has no
m-separations, then M is n-connected. ...

#### Adaptive bolus-based set-point regulation of hyperglycemia in critical care

(University of Canterbury. Mechanical Engineering., 2004)

Critically ill patients are often hyperglycemic
and extremely diverse in their dynamics. Consequently, fixed
protocols and sliding scales can result in error and poor
control. A two-compartment glucose-insulin system ...

#### Minimal model simulation of diseases affecting the cardiovascular system

(University of Canterbury. Mechanical Engineering., 2004)

Medical staff diagnosing cardiovascular system (CVS) dysfunction are often faced
with a confusing array of measured data, where the cause of the original dysfunction
is often clouded by the effects of the autonomous ...

#### Using graphical modelling in official statistics

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

People using economic time series would like them to be available as soon as
possible after the end of the reference period. However there can be difficulties in getting
all the responses required to produce a series of ...

#### Design for uncertainty

(University of Canterbury. Mechanical Engineering, 2004)

The development of engineering systems, whether those systems be products, plant
or services, is a complex activity. The systems themselves are becoming more rather
than less complex. Partly this arises from the need to ...

#### Phylogenetic Super-Networks from Partial Trees.

(University of Canterbury. Mathematics and Statistics, 2004)

Acyclic directed graphs (ADGs) are increasingly being viewed as more appropriate for representing certain evolutionary relationships, particularly in biology, than rooted trees. In this paper, we develop a framework for ...