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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

Plant scientists address wheat rust diseases at SASPP congress
2015-02-02

Pictured from the left are: Prof Zakkie Pretorius, Dr Botma Visser and Howard Castelyn.
Photo: Supplied

In his research, Dr Botma Visser, researcher in the Department of Plant Sciences at the University of the Free State, highlighted the population dynamics of the stem rust fungus (Puccinia graminis f. sp. tritici) in Southern Africa. In recent years, two foreign stem rust races were introduced to South Africa, and a local virulence adaptation occurred in a third.

All of these races form part of the Ug99 group, a highly virulent collection of rust races endangering wheat production in many parts of the world. Despite the fact that half of the members of the Ug99 race group is prevalent in South Africa, Dr Visser’s work has clearly shown that Ug99 did not have its origin here. This emphasised the need to include neighbouring countries in the annual stem rust surveys, to proactively identify new races that could threaten local wheat production. In his research, Dr Visser also mentioned the way in which he has optimised modern molecular tools to accurately detect Ug99 isolates.

Dr Visser is one of three scientists from the Department of Plant Sciences that addressed delegates attending the biennial congress of the Southern African Society for Plant Pathology (SASPP) on the Bloemfontein Campus earlier this month on progress regarding research on wheat rust diseases conducted at the UFS.

Howard Castelyn, a PhD student in Plant Sciences, presented his research on quantifying fungal growth of the stem rust pathogen in wheat varieties displaying genetic resistance. This resistance, which is best expressed in adult plants, has the potential to remain durable in the presence of new rust variants. His presentation at the congress focused on optimising microscopic and molecular techniques to track fungal development in stem tissues of adult plants. These results now allow scientists to link rust infection levels and cellular responses with particular resistance genes expressed by the wheat plant, and contributing to the understanding and exploitation of durable resistance.

Prof Zakkie Pretorius presented his research, explaining how new genetic diversity for resistance to the stripe (yellow) rust fungus (Puccinia striiformis) is discovered, analysed and applied in South Africa. This research, conducted in collaboration with Dr Renée Prins and her team at CenGen, is unravelling the genetic basis of stripe rust resistance in a promising wheat line identified by Dr Willem Boshoff, a plant breeder at Pannar. The line and DNA markers to track the resistance genes will soon be introduced to South African wheat breeding programmes.

The rust research programme at the UFS contributes significantly to the successful control of these important crop diseases.

In addition to the contributions by the UFS, rust fungi featured prominently at the SASPP, with first reports of new diseases on sugar cane and Acacia and Eucalyptus trees in South Africa. A case study of the use of a rust fungus as a biological control agent for invasive plant species in the Western Cape, was also presented.

 

For more information or enquiries contact news@ufs.ac.za .

 

 

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