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07 September 2018 Photo Stephen Collett
Mathematician makes popular contribution to science Prof Atangana
Prof Atangana is the first African under 40 years of age to be selected as African Academic of Science affiliated in Mathematics. He recently delivered his inaugural lecture and is pictured with Eelco Lukas, Director of the Institute for GroundwaterStudies at the UFS (middle) and Prof Hendri Kroukamp, Acting Vice-Rector: Academic
Prof Abdon Atangana, researcher in the Institute for Groundwater Studies at the University of the Free State (UFS), recently delivered his inaugural lecture on the topic: Understanding God’s Nature with Non-Local Operators.

His research interests are methods and applications of partial and ordinary differential equations, fractional differential equations, perturbation methods, asymptotic methods, iterative methods, and groundwater modelling. Prof Atangana is the founder of the fractional calculus with non-local and non-singular kernels popular in applied mathematics today. He has introduced more than 12 mathematical operators, most of which bear his name (such as the Atangana-Baleanu fractional integral).

He stated: “We will not stop until we change the classical view of doing mathematics. Mathematics is not a subject but a tool given to mankind by God to understand nature. One single mathematical operator cannot portray God’s nature accurately. Therefore the Atangana Baleanu was suggested.”

New weapons

Most physical problems can be expressed in terms of mathematical formulations called differential equations. According to him the differential equation’s aim is to analyse, understand, and predict the future of a physical problem. Prof Atangana introduced the Atangana-Baleanu fractional integral. This brought new weapons into applied mathematics to model complex real-world problems more accurately.

Prof Atangana explained: “The Atangana-Baleanu fractional derivative is able to describe real-world problems with different scales, or problems that change their properties during time and space for instance, the spread of cancer, the flow of water within heterogeneous aquifers, movement of pollution within fractured aquifers, and many others. This crossover behaviour is observed in many empirical systems.”

Sudden change

The Atangana-Baleanu fractional derivative is also able to describe physical or biological phenomena, such as a heart attack, the physiological progression from life to death, structural failure in an aeroplane, and many other physical occurrences with sudden change with no steady state.

The new differential and integral operators are nowadays in fashion and are being applied with great success in many fields to model complex natural phenomena. It is believed that the future of modelling complex real-world problems relies on these non-local operators.

News Archive

UFS lecturer serves on National Forensic Oversight and Ethics Board
2015-02-13

Dr Karin Ehlers

Dr Karin Ehlers, lecturer in the Department of Genetics at the University of the Free State, was elected by the Minister of Police, Mr Nkosinathi Nhleko, to serve on the National Forensic Oversight and Ethics Board which will, among others, monitor the implementation of the provisions of the DNA Act.

Previously, when DNA evidence was collected at a crime scene, it was analysed only when requested by the prosecutor or investigator when they had found a suspect and needed confirmation. With the new DNA Act, all samples collected from violent crimes must be analysed. The profiles will be compared with a convicted offender database to see if some of the unsolved cases can be linked to these perpetrators. The reason for this is that many of these offenders are repeat offenders, and this process will increase the chances of solving cases successfully.

Serving on the Board, Dr Ehlers will also have the opportunity to contribute to proposals on:
- the improvement of practices regarding the overall operations of the National Forensic DNA Database (NFDD),
- the ethical, legal, and social implications of the use of forensic DNA profiles, and
- the training and the development of criteria for the use of familial searches.

Board members will also receive and assess complaints about alleged violations relating to the abuse of DNA samples and forensic DNA profiles and/or security breaches, and will report to complainants in respect thereof.

In 2014, when all citizens in South Africa were invited to apply for a position on the National Forensic Oversight and Ethics Board, Dr Ehlers submitted her application with a motivation on how she could contribute to the function of the Board. She is one of ten persons who were appointed to serve on the Board. “The reason I was successful was due to my involvement in the development of the UFS Forensic Sciences Programme,” Dr Ehlers said.

The capacity of the country was one of the challenges that had to be overcome for this Act to take effect. ”The UFS was able to address this problem, implementing degrees in Forensic Genetics and Forensic Sciences. With these programmes we made a real difference in the fight against crime. It is a real privilege to form part of this project,” said Dr Ehlers.

Dr Karin Ehlers serves on National Forensic Oversight and Ethics Board (read the full story)

 

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