Mathematical methods for diagnosing breast cancer

Mathematical methods for diagnosing breast cancer
100 microscope images of breast tissue were analyzed in order to teach computer to recognize malignancy; 85 percent accuracy rate was achieved. Credit: KTU

A team of researchers at Kaunas University of Technology, Lithuania, is developing mathematical methods to diagnose breast cancer. Applying deep learning, the researchers are aiming to teach a computer to recognise malignant lesions, which could at least partially automatize and enhance the accuracy of diagnosing breast cancer.

In 2014, around 93.5 thousand people died from in the EU, the vast majority of whom were women (92,500). Among women, breast cancer accounted for 3.7 percent of all deaths. According to the World Health Organisation, more than 1 million new breast cancer cases are diagnosed every year. The international community of medical professionals is warning that the incidence of oncological diseases is rising; in the last 15 years in Lithuania, the cancer rate increased by 75 percent.

For better treatment and prognosis of cancer patients, early diagnosis is the key. "Often in , oncologists rely on visual information—the image of the tissue is analysed in order to determine the nature of the lesions. This process is time-consuming, and the probability of mistakes is non-zero, which, in the case of cancer, can be fatal. By developing mathematical methods for cancer diagnosis, we aim to automatize the diagnosis and to minimize the occurrence of mistakes," says Dr. Tomas Iešmantas, postdoctoral researcher at Kaunas University of Technology (KTU).

For diagnosing , he has adapted the capsule neural network introduced by the British researcher Geoffrey Hinton, one of the founding fathers of (machine learning method). Dr. Iešmantas and his postdoctoral research supervisor Professor Robertas Alzbutas have analysed 100 microscope images of breast tissue provided by the University of Porto, Portugal. There were four types of images in the sample: those of non-cancerous tissue, of non-malignant tumour tissue, of non-invasive and invasive carcinomas. The aim of the investigation was to design a mathematical method for classifying the images into the four types mentioned.

"The early results are very promising—we have achieved an 85 percent accuracy rate," says KTU researcher.

He will introduce the results of the research in the 15th International Conference on Image Analysis and Recognition in Portugal. According to Dr. Iešmantas, although the application of in medicine has expanded in recent years, and computers are being taught to diagnose lesions in lungs, to recognise metastasis in lymph nodes, and to localise brain tumours, it is not very likely that cancer diagnosis will become fully automatized in the near future.

"The research is not only conducted on theoretical level. There are some cases where these methods have already been applied in clinical practice. Even though digitalisation will not replace human judgement, I believe that automatized computer diagnosis will become more common with time and will help to more accurately identify and diagnose certain types of cancer," says Dr. Iešmantas.


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