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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

Research into surrogate milk important to wildlife conservation
2017-05-08

Description: Prof Garry Osthoff  Tags: Prof Garry Osthoff

Prof Gary Osthoff from the UFS Department of
Microbial, Biochemical and Food Biotechnology,
will soon work on a milk formula for elephants.
Photo: Supplied

Research is being done at the University of the Free State (UFS) to analyse and synthetically imitate the unique milk of various wildlife species. This research is not only of scientific value, but also serves the conservation of South Africa’s wildlife species. At the forefront of this research is Prof Garry Osthoff from the Department of Microbial, Biochemical and Food Biotechnology.

Orphaned rhino calf pulled through with surrogate milk

“There is still a lot of research to be done. Naturally the research is of scientific importance, but with surrogate milk having the same composition as the mother’s milk of a specific species, orphaned calves or cubs of that species could be pulled through during a difficult time of weaning. Bearing in mind that exotic animals fetch thousands and even millions of rands at auctions, it goes without saying a game farmer will do everything possible to provide only the best nourishment to such an orphaned animal. In such a case, synthetically-manufactured milk would be the right choice,” says Prof Osthoff.

The fruits of his research were recently demonstrated in Germany when a rhino calf was left orphaned in the Leipzig Zoo. Prof Osthoff’s article: “Milk composition of a free-ranging white rhinoceros during late lactation” was used as a directive for applying surrogate milk for horse foals (which is already commercially available), since the composition of horse and rhino milk largely corresponds. The surrogate milk was used with great success and the rhino calf is flourishing. He mentions that such an orphan is often given the wrong nourishment with the best intentions, resulting in the starvation of the animal despite the amount of cow’s milk it devours.

With surrogate milk having the same
composition as the mother’s milk of a
specific species, orphaned calves or
cubs of that species could be pulled
through during the difficult time
of weaning.

Milk formula for baby elephants in the pipeline
With baby elephants left orphaned due to the increase in elephant poaching for their ivory, several attempts have been made to create a milk formula in order to feed these elephants. To date, many elephants have died in captivity from side effects such as diarrhoea as a result of the surrogate formula which they were fed.

Prof Osthoff recently received a consignment of frozen milk which he, together with researchers from Zimbabwe, will use to work on a milk formula for elephants. They are studying the milk in a full lactation period of two years. During lactation, the composition of the milk changes to such an extent that a single surrogate formula will not be sufficient. Four different formulas should probably be designed.

Prof Osthoff says that of the different species he has researched, elephants are the most interesting and deviate most from the known species.

Although his research to develop surrogate milk is adding much value to the wildlife industry, and although he finds this part of his work very exciting, his research focus is on food science and nutrition. “What is currently authentic in milk research is the study of the fat globules with content, the structure and composition of the casein micelle, and the prebiotic sugars. The knowledge which is gained helps to improve the processing, development of new food products, and development of food products for health purposes,” says Prof Osthoff.

 

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