## Search

Now showing items 1-10 of 95

#### Intensive Control Insulin-Nutrition-Glucose Model Validated in Critically Ill Patients

(University of Canterbury. Electrical and Computer EngineeringUniversity of Canterbury. Mathematics and StatisticsUniversity of Canterbury. Mechanical Engineering, 2010)

A comprehensive, more physiologically relevant Intensive Control Insulin-Nutrition-
Glucose (ICING) Model is presented and validated using data from critically ill patients. Glucose utilisation and its endogenous production ...

#### Habitat Modeling of Alien Plant Species at Varying Levels of Occupancy

(University of Canterbury. Mathematics and Statistics, 2012)

Distribution models of invasive plants are very useful tools for conservation
management. There are challenges in modeling expanding populations, especially in a
dynamic environment, and when data are limited. In this ...

#### The use of alignment in ancient near Eastern mathematics

(University of Canterbury, 2012)

Cuneiform texts from the ancient near east include the oldest written mathematics in
the world. These texts did not use symbolism to communicate mathematical operations,
unlike modern mathematics. The hypothesis of this ...

#### A CARTopt method for bound constrained global optimization

(University of Canterbury. Mathematics and Statistics, 2013)

A stochastic algorithm for bound-constrained global optimization is described. The
method can be applied to objective functions that are nonsmooth or even discontinuous.
The algorithm forms a partition on the search ...

#### Two new approaches to improve the analysis of BALB/c 3T3 cell transformation assay data

(University of Canterbury. Mathematics and Statistics, 2012)

Validation activities of the BALB/c 3T3 cell transformation assay (CTA) – a test method used for the assessment of the carcinogenic potential of compounds – have revealed the need for statistical analysis tailored to ...

#### Budgeted nature reserve selection with diversity feature loss and arbitrary split systems

(University of Canterbury. Department of Mathematics and Statistics, 2010)

Arising in the context of biodiversity conservation, the Budgeted Nature Reserve Selection (BNRS) problem is to select, subject to
budgetary constraints, a set of regions to conserve so that the phylogenetic
diversity ...

#### On the Condition Number Distribution of Complex Wishart Matrices

(University of Canterbury. Electrical and Computer EngineeringUniversity of Canterbury. Mathematics and Statistics, 2010)

This paper investigates the distribution of the condition
number of complex Wishart matrices. Two closely related
measures are considered: the standard condition number (SCN)
and the Demmel condition number (DCN), both ...

#### Spatial Point Processes and Moment Dynamics in the Life Sciences: A Parsimonious Derivation and Some Extensions

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

Mathematical models of dynamical systems in 6 the life sciences typically assume that biological systems are spatially well mixed (the mean-field assumption). Even spatially explicit differential equation models typically ...

#### Evolutionarily Stable Strategies for Fecundity and Swimming Speed of Fish

(University of Canterbury. Mathematics and Statistics, 2016)

Many pelagic fish species have a life history that involves producing
a large number of small eggs. This is the result of a trade-off between fecundity and larval survival probability. There are also trade-offs involving ...

#### Unique parameter identification for cardiac diagnosis in critical care using minimal data sets

(University of Canterbury. Electrical and Computer EngineeringUniversity of Canterbury. Mechanical Engineering, 2010)

Lumped parameter approaches for modelling the cardiovascular system typically havemany
parameters of which a significant percentage are often not identifiable from limited data
sets. Hence, significant parts of the model ...