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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

New Division of Virology to deliver crucial services for HIV diagnosis and resistance testing
2015-12-14

The establishment of a Division of Virology within the Department of Medical Microbiology, under the joint auspices of the UFS and the National Health Laboratory Service (NHLS), reflects the continued growth within Virology.  Dr Dominique Goedhals, Head of the Division, says the division will also provide training of undergraduate medical students, medical technologists and technicians, and registrars.

The newly established Division of Virology at the University of the Free State will be one of only five laboratories in the country to be involved in crucial diagnostic and testing services for HIV viral load monitoring, early infant diagnosis, and HIV resistance testing.

The Virology Diagnostic Laboratory serves as the reference laboratory for all HIV National Priority Programme samples for the Free State and Northern Cape provinces.

Medical staff at the laboratory will provide a 24-hour consultative service, as well as outreach programmes to district laboratories in the Free State and Northern Cape where pathologists are not available. 

Dr Dominique Goedhals, Head of the Division of Virology, says this division, under the joint auspices of the UFS and the National Health Laboratory Service (NHLS), reflects the continued growth within Virology.

The division will not only deliver this critical diagnostic service, but will also focus on training and teaching, as well as research.

Teaching and training activities include teaching of undergraduate medical students, medical technologists and technicians, and registrars.  The postgraduate science programme has a high output of honours, master’s and doctoral students in Virology.  The intern medical scientist programme is also active, with five interns having successfully submitted their portfolios since the programme was implemented in 2010.

Research activities under the Head of Research, Prof Felicity Burt, have also expanded and continue to show increases in publication output and acquisition of grant funding.  Established research groups within the Division of Virology focus on vector-borne and zoonotic viruses, human papilloma viruses (HPV), and human immunodeficiency virus (HIV), as well as work with a number of international collaborators.


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