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27 May 2022 | Story Leonie Bolleurs | Photo Charl Devenish
Prof Tomas Vetrik
Prof Tomas Vetrik, Professor in the Department of Mathematics and Applied Mathematics, recently delivered his inaugural lecture on the UFS Bloemfontein Campus.

Prof Tomas Vetrik, Professor in the Department of Mathematics and Applied Mathematics at the University of the Free State (UFS), recently delivered his inaugural lecture on the Bloemfontein Campus.

His research area is graph theory, and he mainly focuses on the degree-diameter problem, graph indices, and metric dimension of graphs.

Research focus

According to Prof Vetrik, mathematics was always his favourite subject in school. He also excelled in maths at university and decided to enrol for a course on graph theory while working on his master’s degree. “I liked it, so I also chose topics from graph theory for my PhD thesis,” he says.

In 2014, at the age of 32, he was appointed Associate Professor at the UFS, after postdoctoral research at the University of KwaZulu-Natal and working at the University of Pretoria. An NRF-rated researcher, he has published close to 75 research papers, a third of that as a single author in some of the most well-known journals in his area. Moreover, he was also research supervisor of three PhD and three master’s students.

International collaborations

In the eight years since his appointment at the UFS, Prof Vetrik has made research visits to universities from 14 different countries that have invited him for research collaborations. 

“I am often overseas. I like working from different places. It is interesting to me, and it helps me to be productive,” says Prof Vetrik, explaining some of the inspiration behind his mathematical ideas.

In the next two years, he would like to study more general mathematical problems beyond his current research area.

He says he is addicted to his research. “It overshadows all my other interests.” 

On the rare occasion when he is not working on his research, Prof Vetrik states that he has to keep himself busy. Unable to relax and do nothing, he likes to do sports of some kind or to travel. 

“I am a simple person. I do not even have a TV at home. I use an old-fashioned mobile phone that cannot access the internet,” he says.


News Archive

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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