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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

What do diamonds, chocolates, bugs and almost 30 Nobel Prizes have in common? Crystallography
2014-10-15

 

Some of the keynote speakers and chairpersons at the third world summit in the International Year of Crystallography (in Africa) were, from the left, front: Profs Abdelmalek Thalal (Morocco), Prosper Kanyankogote (University of Kinshasa, Democratic Republic of the Congo); Habib Bougzala (Tunisia), Santiago Garcia-Granda (IUCr, University Oviedo, Spain), Michele Zema (IYCr 2014, Italy/UK) and Dr Jean-Paul Ngome-Abiaga (UNESCO, Paris, France); back: Dr Thomas Auf der Heyde (Acting Director-general, South African Department of Science and Technology); Dr Petrie Steynberg (SASOL) and Prof André Roodt (UFS, host).

Photo: Marija Zbacnik
The third world summit in the International Year of Crystallography (in Africa) was hosted by Prof André Roodt, Head of the Department of Chemistry and President of the European Crystallographic Association,  at the University of the Free State in Bloemfontein.

A declaration with and appeal to support crystallography and science across Africa, was signed.

When one mentions 'Crystallography', or more simply 'crystals', what comes to mind? Diamonds? Perhaps jewellery in general? When thinking of crystals and Crystallography, you will need to think much bigger. And further – even to Mars and back.

Crystallography refers to the branch of science that is concerned with structure and properties of crystals. The obvious examples would include cut diamonds, gemstones such as amethysts, and ‘simple’ crystals such as selenite and quartz.

But have you thought about the irritating brown scales at the bottom of your kettle? The sand in your shoes? The salt over your lamb chops or the sugar in your coffee? All crystals. From egg shells to glucose, from bugs and insecticides to additives in food – even the compounds in chocolate – all fall under the close scrutiny of Crystallography.

The breakthroughs this field of science has produced have led to almost 30 Nobel Prizes over the years.

Determining the structure of DNA by crystallography was arguably one of the most significant scientific events of the 20th century. Different diseases have been cured or slowed by medicines obtained based on crystallographic studies. These include certain cancers, HIV/Aids, Tuberculosis and Malaria. Biological Crystallography enables the development of anti-viral drugs and vaccines.

This field of science influences our daily lives in virtually immeasurable ways. Here are but a few areas of study and development Crystallography contributes to:

•    LCD displays;
•    cellular smartphones;
•    insects and insecticides;
•    additives and products in foods;
•    improved effectiveness and security of credit cards;
•    new materials to preserve energy;
•    better gasoline with less by-products;
•    identify colour pigments used in paintings from the old masters, indicating if it’s an original or an imitation; and
•    beauty products such as nail polish, sun-block, mascara and eye shadow.

Crystallography is also currently used by the Curiosity Rover to analyse the substances and minerals on Mars.

Crystals and Crystallography form an integrated part of our daily lives – from bones and teeth to medicines and viruses, from chocolates to the blades in airplane turbines. Even down to the humble snowflake.


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