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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

Cardiology Unit involved in evaluation of drug for rare genetic disease
2013-01-04

Front from the left, are: Marinda Karsten (study coordinator and registered nurse),
Laumarie de Wet (clinical technologist), Charmaine Krahenbuhl (study coordinator and radiographer),
Lorinda de Meyer (administrator), Andonia Page (study coordinator and enrolled nurse);
back Dr Gideon Visagie (sub investigator), Dr Derick Aucamp (sub investigagtor),
Prof. Hennie Theron, (principal investigator) and Dr Wilhelm Herbst (sub investigator).
Photo: Supplied
09 January 2013


The Cardiology Research Unit at the University of the Free State (UFS) contributed largely to the evaluation of the drug Juxtapid (lomitapide), which was developed by the Aegerion pharmaceutical company and approved by the FDA (Federal Drug Administration). Together with countries such as die USA, Canada and Italy, the UFS’ Unit recruited and evaluated the most patients (5 of 29) for the study since 2008.  

The drug was evaluated in persons with so-called familial homozygous hypercholesterolemia (HoFH).  

Following its approval by the FDA, Juxtapid is now a new treatment option for patients suffering from HoFH. The drug operates in a unique way which brings about dramatic improvements in cholesterol counts.  

According to Prof. Hennie Theron, Associate Professor in the Department of Cardiology at the UFS and Head of the Cardiology Contract Research Unit, HoFH is a serious, rare genetic disease which affects the function of the receptor responsible for the removal of low-density lipoprotein cholesterol (LDL-C) (“bad” cholesterol) from the body. Damage to the LDL receptor function leads to extremely high levels of blood cholesterol. HoFH patients often develop premature and progressive atherosclerosis, which is a narrowing or blockage of the arteries.  

“HoFH is a genetically transmitted disease and the most severe form of hypercholesterolemia. Patients often need a coronary artery bypass or/and aortic valve replacement before the age of 20. Mortality is extremely high and death often occurs before the third decade of life. Existing conventional cholesterol-lowering medication is unsuccessful in achieving normal target cholesterol values in this group of patients.  

“The only modality for treatment is plasmapheresis (similar to dialysis in patients with renal failure). Even with this type of therapy the results are relatively unsatisfactory because it is very expensive and the plasmapheresis has to be performed on a regular basis.  

“The drug Juxtapid, as currently evaluated, has led to a dramatic reduction in cholesterol values and normal values were achieved in several people. No existing drug is nearly as effective.  

“The drug represents a breakthrough in the treatment of familial homozygous hypercholesterolemia. The fact that it has been approved by the FDA, gives further impetus to the findings,” says Prof. Theron.  

In future further evaluation will be performed in other forms of hypocholesterolemia.  

According to Prof. Theron, the findings of the study, as well as the recent successful FDA evaluation, once again confirms the fact that the UFS’ Cardiology Contract Research Unit is doing outstanding work.  

Since its inception in 1992, the Unit has already been involved in more than 60 multi-centre, international phase 2 and 3 drug studies. Several of these studies, including the abovementioned study, really affected the way in which cardiology functions.  

The UFS’ Cardiology Contract Research Unit is being recognised nationally and internationally for its high quality of work and is constantly approached for their involvement in new studies.  

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