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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 cardiac team does pioneering work
2017-10-29

Description: ' 000 Cardiac Pioneers Tags: Cardiac Pioneers 

“With the use of endomyocardial biopsies, the team hopes to treat viruses unique
to Southern Africa, as well as other underlying causes of dilated cardiomyopathy.”

Photo: iStock

Members of the University of the Free State’s (UFS) Cardiac team had various achievements at national and international level this year. The Robert WM Frater Cardiovascular Research Centre in the Faculty of Health Sciences has commenced with a pioneering research project regarding idiopathic dilating cardiomyopathy.

With an Afrocentric research focus, Prof Francis Smit, Head of the Department of Cardiothoracic Surgery at the UFS and Head of the Frater Centre, describes dilating cardiomyopathy as a heart muscle disease that is quite common, particularly among people of African descent. The disease weakens the heart muscle, which in turn leads to heart failure.

“To date there is no curable treatment for this condition, and 50% of patients who have shown heart failure, died within a period of five years. The causes of this condition have been unknown in the majority of patients. But over the past few years major strides have been made, where virus infections of the heart muscle, or myocarditis, have been identified as a possible underlying cause. Various genetic diseases are also linked to it,” says Prof Smit.

According to Prof Mokoali Makotoko, Head of the Department of Cardiology, more than 1 500 new cases of heart failure are identified at the Universitas Academic Hospital annually, of which approximately 30% are attributed to cardiomyopathy. “With the use of endomyocardial biopsies, the team hopes to treat viruses unique to Southern Africa, as well as other underlying causes of dilated cardiomyopathy.”

The study is a project that flows from Prof Makotoko’s PhD. The project is being run with Prof Heinz-Peter Schultheiss of the Charité University and the Institute for Cardiac Diagnostics and Therapy in Berlin, Germany.

 "More than 1 500 new cases of heart failure are identified at the Universitas Academic Hospital annually, of which approximately 30% are attributed to cardiomyopathy."

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