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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

Heart diseases a time bomb in Africa, says UFS expert
2010-05-17

 Prof. Francis Smit

There are a lot of cardiac problems in Africa. Sub-Saharan Africa is home to the largest population of rheumatic heart disease patients in the world and therefore hosts the largest rheumatic heart valve population in the world. They are more than one million, compared to 33 000 in the whole of the industrialised world, says Prof. Francis Smit, Head of the Department of Cardiothoracic Surgery at the Faculty of Health Sciences at the University of the Free State (UFS).

He delivered an inaugural lecture on the topic Cardiothoracic Surgery: Complex simplicity, or simple complexity?

“We are also sitting on a time bomb of ischemic heart disease with the WHO (World Health Organisation) estimating that CAD (coronary artery disease) will become the number-one killer in our region by 2020. HIV/Aids is expected to go down to number 7.”

Very little is done about it. There is neither a clear nor coordinated programme to address this expected epidemic and CAD is regarded as an expensive disease, confined to Caucasians in the industrialised world. “We are ignoring alarming statistics about incidences of adult obesity, diabetes and endemic hypertension in our black population and a rising incidence of coronary artery interventions and incidents in our indigenous population,” Prof. Smit says.

Outside South Africa – with 44 units – very few units (about seven) perform low volumes of basic cardiac surgery. The South African units at all academic institutions are under severe threat and about 70% of cardiac procedures are performed in the private sector.

He says the main challenge in Africa has become sustainability, which needs to be addressed through education. Cardiothoracic surgery must become part of everyday surgery in Africa through alternative education programmes. That will make this specialty relevant at all levels of healthcare and it must be involved in resource allocation to medicine in general and cardiothoracic surgery specifically.

The African surgeon should make the maximum impact at the lowest possible cost to as many people in a society as possible. “Our training in fields like intensive care and insight into pulmonology, gastroenterology and cardiology give us the possibility of expanding our roles in African medicine. We must also remember that we are trained physicians as well.

“Should people die or suffer tremendously while we can train a group of surgical specialists or retraining general surgeons to expand our impact on cardiothoracic disease in Africa using available technology maybe more creatively? We have made great progress in establishing an African School for Cardiothoracic Surgery.”

Prof. Smit also highlighted the role of the annual Hannes Meyer National Registrar Symposium that culminated in having an eight-strong international panel sponsored by the ICC of EACTS to present a scientific course as well as advanced surgical techniques in conjunction with the Hannes Meyer Symposium in 2010.

Prof. Smit says South Africa is fast becoming the driving force in cardiothoracic surgery in Africa. South Africa is the only country that has the knowledge, technology and skills base to act as the springboard for the development of cardiothoracic surgery in Africa.

South Africa, however, is experiencing its own problems. Mortality has doubled in the years from 1997 to 2005 and half the population in the Free State dies between 40 to 44 years of age.

“If we do not need health professionals to determine the quality and quantity of service delivery to the population and do not want to involve them in this process, we can get rid of them, but then the political leaders making that decision must accept responsibility for the clinical outcomes and life expectancies of their fellow citizens.

“We surely cannot expect to impose the same medical legal principles on professionals working in unsafe hospitals and who have complained and made authorities aware of these conditions than upon those working in functional institutions. Either fixes the institutions or indemnifies medical personnel working in these conditions and defends the decision publicly.

“Why do I have to choose the three out of four patients that cannot have a lifesaving operation and will have to die on their own while the system pretends to deliver treatment to all?”

Prof. Smit says developing a service package with guidelines in the public domain will go a long way towards addressing this issue. It is also about time that we have to admit that things are simply not the same. Standards are deteriorating and training outcomes are or will be affected.

The people who make decisions that affect healthcare service delivery and outcomes, the quality of training platforms and research, in a word, the future of South African medicine, firstly need rules and boundaries. He also suggested that maybe the government should develop health policy in the public domain and then outsource healthcare delivery to people who can actually deliver including thousands of experts employed but ignored by the State at present.

“It is time that we all have to accept our responsibilities at all levels… and act decisively on matters that will determine the quality and quantity of medical care for this and future generations in South Africa and Africa. Time is running out,” Prof. Smit says.
 

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