Mathematical modelling

Short item Published on November 30, 2015

Modelling big “N” spatiotemporal data

In modelling hierarchical data we can take into account spatial and temporal correlations by introducing spatiotemporal random effects in the model. Several other hurdles have to be overcome when modelling hierarchical mortality data, but Bayesian techniques with the aid of the Markov chain Monte Carlo (MCMC) simulation methods have successfully overcome these and fit spatiotemporal random effects for reasonably sized geo-locations. However, as the number of geo-locations increases, MCMC computations become infeasible or extremely slow, which is a norm in Big Data Analytics (BDA). This problem is popularly known as the “big m” or “big N”.

Published on September 16, 2014 by

Challenges of Agent-based Modelling of HIV Transmission

Epidemiological models for describing how a disease spreads through a population have been extremely useful to reduce the number of individuals who get sick or even die from illness. Developing meaningful and useful models is not easy however. In this paper, we first motivate the use of agent-based modelling and secondly, we present common challenges associated with agent-based modelling (of HIV) and our approaches to dealing with them.

Published on June 17, 2014 by

Modelling the Use of Insecticide-Treated Cattle to Control Tsetse and Trypanosoma brucei rhodesiense in a Multi-host Population

T. b. rhodesiense is the acute form of African human trypanosomiasis or sleeping sickness which is common in East and Southern Africa. Trypanosomiasis is caused by the parasite Trypanosoma brucei and transmitted by tsetse flies (genus Glossina spp). Treatment of livestock in sub-Saharan Africa with trypanocidal drugs has been hindered by drug resistance and proves to be too expensive for many farmers. Tsetse control methods include aerial and ground spraying, sterile insect technique, and bait technology, including the use of insecticide-treated cattle (ITC). We compared two techniques of application of insecticides on cattle using a mathematical model: whole-body (WB), where insecticides are applied on the entire animals body and restricted application (RAP), where insecticides are applied on the legs, belly and ears of the animal.

Published on March 13, 2014 by

SARCHI project – Mechanistic modelling of health and epidemiology

The currently used mathematical models for medical treatment at the individual or population level are largely phenomenological and have limited quantitative predictive power. In 2013 Prof J. Snoep took up the SACEMA SARCHI Chair in mechanistic modelling of health and epidemiology. The task of the chair is to provide a mechanistic modelling approach with more predictive strength to pharmaceutical drug and intervention steps for individual and public health compared to current models. In this contribution an overview of the project is given and some of the work performed in the first year is highlighted.

Published on November 28, 2013 by

Enhancing policy maker decisions: a framework to assess determinants and space-time risk of infant, child and adult mortality in rural South Africa and elsewhere

Reliable mortality data are essential for planning health interventions, yet such data are often not available or reliable in developing countries, especially in sub-Saharan Africa. Health and socio-demographic surveillance sites, such as Agincourt in South Africa, are often the only way to assess and prospectively understand health trends at a population level, and thus have the potential to address this gap. This article summarises the main findings from my PhD in which advanced methods were applied to better understand the dynamics of age-specific mortality both in space and time, to identify age-specific mortality risk factors which have a high “impact” at a population level, and to relate inequalities in risk factor distributions to observed spatial mortality risk patterns.

Published on November 28, 2013 by

Coital frequency and condom use in monogamous and concurrent sexual relationships in Cape Town, South Africa

The importance of concurrency (overlapping sexual partnerships in which sexual intercourse with one partner occurs between two acts of intercourse with another partner) in driving HIV transmission in hyperendemic settings remains controversial. A modelling study concluded that the role of concurrency in accelerating the spread of HIV is dramatically reduced by coital dilution (the reduction in frequency of sex acts per sexual partner, as a result of acquiring additional partners). We recently examined self-reported data on coital frequency and condom use during monogamous and concurrent relationship episodes from a survey in three communities with a high HIV prevalence. A key question in our analysis was if there is evidence for coital dilution and/or increased condom use during episodes of concurrency.

Published on September 13, 2013 by

Modelling “Tik” abuse in the presence of drug-supply chains

Methamphetamine (MA), commonly known by the street name “tik” in South Africa, is a highly addictive stimulant whose production and abuse has increased dramatically. Many questions remain unanswered as to how prevalent is drug abuse and the implications of drug use, especially on disease burden, healthcare and budgetary demands as well as risky behaviour. There is a need to understand the problem, measure drug use trends, design appropriate intervention measures and evaluate the success of these interventions. As is demonstrated here mathematical models can help in modelling the “tik” epidemic.

Published on June 12, 2013 by

Modelling – a universal practice in all of science

Welcome to a special edition of SACEMA quarterly epidemiological update – dedicated to SACEMA’s annual ‘research days’ event and other SACEMA related work. This is a glimpse into exciting trends in public health research, where mathematical methods are increasingly applied to a range of problems, to help leverage limited data, think about prospects for interventions, and formulate new hypotheses and experiments. The article also includes a reflection on modelling as a universal practice in all of science and all that differs are the kinds of models, and the techniques used to set them up and manipulate them.

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