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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

Otorhinolaryngology research hopes to decrease morbidity
2016-10-04

Description: Prof Riaz Seedat Tags: Prof Riaz Seedat

Prof Riaz Seedat, Head of the
Department of
Otorhinolaryngology at the UFS

Prof Riaz Seedat, Head of the Department of Otorhinolaryngology at the UFS is a world-renowned ear, nose and throat specialist and researcher. He is also a National Research Foundation C3 rated scientist.

He is conducting his research in ear, nose and throat (ENT) pathology in a developing world setting, particularly focusing on recurrent respiratory papillomatosis and other ENT conditions. “This condition is caused by human papillomavirus (HPV), infective conditions as well as allergic rhinitis,” said Prof Seedat.

Current research is aimed at further describing the epidemiology of recurrent respiratory papillomatosis, identification of the HPV variants responsible for causing the condition and markers of disease aggressiveness.

The research has led to various international partnerships such as the multicentre collaborative studies, “Genetic Susceptibility to Papilloma-induced Voice Disturbance” at the Centre for Genomic Sciences at the Allegheny-Singer Research Institute in Pittsburgh, United States, and the HPV6/11 Global Diversity Consortium at the University of Ljubljana in Slovenia.

Although most head and neck squamous cell carcinomas are caused by excessive tobacco and alcohol use, there is an increasing body of evidence to show that HPV causes a subset of head and neck squamous cell carcinomas. However, there are few studies on the role of HPV in head and neck neoplasms in developing countries.

“Through the research we have shown that recurrent respiratory papillomatosis, caused by HPV, is not as rare in South Africa as it is in developed countries and that patients usually present respiratory papillomatosis at an advanced stage when the condition is life-threatening,” said Prof Seedat.

“It is hoped that this research will help us to address the morbidity caused by ENT conditions common in developing countries,” said Prof Seedat.

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