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11 January 2018 Photo Charl Devenish
UFS researcher publishes the highest-cited Maths paper in the world in 2017
An article by Prof Abdon Atangana from the University of the Free State’s Institute for Groundwater Studies received New Hot Paper status from Clarivate Analytics.

An article on Applied Mathematics, published by Prof Abdon Atangana from the University of the Free State’s Institute for Groundwater Studies in 2017, was recently named New Hot Paper by Clarivate Analytics.

Hot paper status
Essential Science Indicators (ESI) is a unique and comprehensive compilation of science performance statistics and science trends. Data is based on journal article publication counts and citation data from Clarivate Analytics that enables researchers to conduct ongoing, quantitative analyses of research performance and track trends in science. Covering a multidisciplinary selection of 1 2000+ journals from around the world, this in-depth analytical tool offers data for ranking papers, scientists, institutions, countries, and journals. 

ESI from Clarivate Analytics is updated every two months. The New Hot Papers, which are papers published in the past two years, are in the top one-tenth of one percent (0.1%) for their field and publication period. Prof Atangana’s paper had the highest cite count in the field of Mathematics. 

His article that received the New Hot Paper status is titled: “The new fractional derivative and application to nonlinear Fisher’s reaction-diffusion equation”.

The concept of fractional differential operators with non-singular kernel has captured the minds of several researchers in the past year due to their wider applicability in almost all fields of science, engineering and technology. The new fractional differential operators have opened new windows to model complex real-world problems that could not be modelled using the Newtonian and the well-known Riemann-Liouville fractional differential operators. 

“These operators are the way forward in modelling real-world problems in all disciplines, as they are able to include into mathematical formulation the effect of memory,” Prof Atangana said.

The Atangana-Baleanu fractional derivative
The professor developed a new fractional differential operator, called the Atangana-Baleanu fractional derivative. This 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.”

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Mathematical methods used to detect and classify breast cancer masses
2016-08-10

Description: Breast lesions Tags: Breast lesions

Examples of Acho’s breast mass
segmentation identification

Breast cancer is the leading cause of female mortality in developing countries. According to the World Health Organization (WHO), the low survival rates in developing countries are mainly due to the lack of early detection and adequate diagnosis programs.

Seeing the picture more clearly

Susan Acho from the University of the Free State’s Department of Medical Physics, breast cancer research focuses on using mathematical methods to delineate and classify breast masses. Advancements in medical research have led to remarkable progress in breast cancer detection, however, according to Acho, the methods of diagnosis currently available commercially, lack a detailed finesse in accurately identifying the boundaries of breast mass lesions.

Inspiration drawn from pioneer

Drawing inspiration from the Mammography Computer Aided Diagnosis Development and Implementation (CAADI) project, which was the brainchild Prof William Rae, Head of the department of Medical Physics, Acho’s MMedSc thesis titled ‘Segmentation and Quantitative Characterisation of Breast Masses Imaged using Digital Mammography’ investigates classical segmentation algorithms, texture features and classification of breast masses in mammography. It is a rare research topic in South Africa.

 Characterisation of breast masses, involves delineating and analysing the breast mass region on a mammogram in order to determine its shape, margin and texture composition. Computer-aided diagnosis (CAD) program detects the outline of the mass lesion, and uses this information together with its texture features to determine the clinical traits of the mass. CAD programs mark suspicious areas for second look or areas on a mammogram that the radiologist might have overlooked. It can act as an independent double reader of a mammogram in institutions where there is a shortage of trained mammogram readers. 

Light at the end of the tunnel

Breast cancer is one of the most common malignancies among females in South Africa. “The challenge is being able to apply these mathematical methods in the medical field to help find solutions to specific medical problems, and that’s what I hope my research will do,” she says.

By using mathematics, physics and digital imaging to understand breast masses on mammograms, her research bridges the gap between these fields to provide algorithms which are applicable in medical image interpretation.

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