INTRODUCTION Mathematical models allow us to extrapolate from current information about the state and progress of an outbreak, to predict the future and, most importantly, to quantify the uncertainty in these predictions. Here, we illustrate these principles in relation to the current H1N1 epidemic. SOURCES OF DATA Many sources of data are used in mathematical modelling, with some forms of mo...

This review examines recent progress made in the field of modelling and predicting percutaneous absorption. It describes initial qualitative modelling and how quantitative approaches were pioneered and then developed, particularly in the context of the analysis of specific subsets of data. It then focuses on recent developments, including non-linear modelling and discusses recommendations in mo...

During the planning phase of modern, complex, block-structured, large-area located, but still landscape-harmonized health-care buildings, the key is the optimal positioning of the blocks and functions, simultaneously ensuring the most-effective backup-paths for any transportation route failure in the buildings in order to speed up system operation, reduce maintenance costs and especially to imp...

In this paper, the effect of mathematical representation method of an MR damper on the performance of control algorithm is investigated. The most exact and common Maxwel Nonlinear Slider (MNS) and modified Bouc-Wen hysteretic models are employed through a nonlinear  comparatve numerical study. In many of semi-active control algorithms, a mathematical modelling method is required for determinig ...

We will describe several cases studies that illustrate how we have used modelling to improve the delivery of health care. The studies cover various settings in health care, utilise a variety of mathematical modelling techniques, and include descriptions of the impact of the model on the health care system. The studies can be described briefly as follows. In the financial year 2006/2007, emergen...

Abstract: The aim of our paper is to explain a mathematical model as a special case of symbolic knowledge map. Each knowledge mapping is a visualization of knowledge for the purpose of eliciting, sharing and expanding. Tools of such visualization can be of various types. But in reality many types of so-called knowledge maps are only data flow or information flow diagrams. Our paper will define ...

Heart failure is a leading cause of death in New Zealand. In order to determine the causesof rhythm disturbances leading to failure a knowledge of the structure and mechanical behaviour of cardiac tissue is important. This paper presents realistic stress and strain distributions for the passive heart that have been reproduced using a three-dimensional finite element model of the ventricles base...

A mathematical model based on stochastic and statistics theories is useful to describe the software fault-removal phenomena or the software failure-occurrence phenomena and estimate the software reliability quantitatively. A mathematical tool which describes software reliability aspect is a software reliability growth model (SRGM). Discrete time models in software reliability are important and ...

Acid-mediated tumour invasion is receiving increasing experimental and clinical attention. Previous models proposed to describe this phenomenon failed to capture key properties of the system, such as the existence of the benign steady state, or predicted incorrectly the size of the inter-tissue gap. Here we show that taking proper account of quiescence ameliorates these drawbacks as well as rev...