Mathematical Biosciences and Engineering (Jul 2023)
Transformation of PET raw data into images for event classification using convolutional neural networks
- Paweł Konieczka,
- Lech Raczyński,
- Wojciech Wiślicki,
- Oleksandr Fedoruk,
- Konrad Klimaszewski ,
- Przemysław Kopka,
- Wojciech Krzemień,
- Roman Y. Shopa ,
- Jakub Baran,
- Aurélien Coussat,
- Neha Chug,
- Catalina Curceanu ,
- Eryk Czerwiński,
- Meysam Dadgar ,
- Kamil Dulski,
- Aleksander Gajos ,
- Beatrix C. Hiesmayr ,
- Krzysztof Kacprzak,
- Łukasz Kapłon,
- Grzegorz Korcyl ,
- Tomasz Kozik ,
- Deepak Kumar,
- Szymon Niedźwiecki,
- Szymon Parzych,
- Elena Pérez del Río,
- Sushil Sharma,
- Shivani Shivani,
- Magdalena Skurzok ,
- Ewa Łucja Stępień,
- Faranak Tayefi ,
- Paweł Moskal
Affiliations
- Paweł Konieczka
- 1. Department of Complex Systems, National Centre for Nuclear Research, 05-400 Świerk, Poland
- Lech Raczyński
- 1. Department of Complex Systems, National Centre for Nuclear Research, 05-400 Świerk, Poland
- Wojciech Wiślicki
- 1. Department of Complex Systems, National Centre for Nuclear Research, 05-400 Świerk, Poland
- Oleksandr Fedoruk
- 1. Department of Complex Systems, National Centre for Nuclear Research, 05-400 Świerk, Poland
- Konrad Klimaszewski
- 1. Department of Complex Systems, National Centre for Nuclear Research, 05-400 Świerk, Poland
- Przemysław Kopka
- 1. Department of Complex Systems, National Centre for Nuclear Research, 05-400 Świerk, Poland
- Wojciech Krzemień
- 2. High Energy Physics Division, National Centre for Nuclear Research, 05-400 Świerk, Poland
- Roman Y. Shopa
- 1. Department of Complex Systems, National Centre for Nuclear Research, 05-400 Świerk, Poland
- Jakub Baran
- 3. Marian Smoluchowski Institute of Physics, Jagiellonian University, 31-348 Cracow, Poland 4. Center for Theranostics, Jagiellonian University, 31-348 Cracow, Poland
- Aurélien Coussat
- 3. Marian Smoluchowski Institute of Physics, Jagiellonian University, 31-348 Cracow, Poland 4. Center for Theranostics, Jagiellonian University, 31-348 Cracow, Poland
- Neha Chug
- 3. Marian Smoluchowski Institute of Physics, Jagiellonian University, 31-348 Cracow, Poland 4. Center for Theranostics, Jagiellonian University, 31-348 Cracow, Poland
- Catalina Curceanu
- 5. INFN, National Laboratory of Frascati, 00044 Frascati, Italy
- Eryk Czerwiński
- 3. Marian Smoluchowski Institute of Physics, Jagiellonian University, 31-348 Cracow, Poland 4. Center for Theranostics, Jagiellonian University, 31-348 Cracow, Poland
- Meysam Dadgar
- 3. Marian Smoluchowski Institute of Physics, Jagiellonian University, 31-348 Cracow, Poland 4. Center for Theranostics, Jagiellonian University, 31-348 Cracow, Poland
- Kamil Dulski
- 3. Marian Smoluchowski Institute of Physics, Jagiellonian University, 31-348 Cracow, Poland 4. Center for Theranostics, Jagiellonian University, 31-348 Cracow, Poland
- Aleksander Gajos
- 3. Marian Smoluchowski Institute of Physics, Jagiellonian University, 31-348 Cracow, Poland 4. Center for Theranostics, Jagiellonian University, 31-348 Cracow, Poland
- Beatrix C. Hiesmayr
- 6. University of Vienna, Faculty of Physics, 1090 Vienna, Austria
- Krzysztof Kacprzak
- 3. Marian Smoluchowski Institute of Physics, Jagiellonian University, 31-348 Cracow, Poland 4. Center for Theranostics, Jagiellonian University, 31-348 Cracow, Poland
- Łukasz Kapłon
- 3. Marian Smoluchowski Institute of Physics, Jagiellonian University, 31-348 Cracow, Poland 4. Center for Theranostics, Jagiellonian University, 31-348 Cracow, Poland
- Grzegorz Korcyl
- 3. Marian Smoluchowski Institute of Physics, Jagiellonian University, 31-348 Cracow, Poland 4. Center for Theranostics, Jagiellonian University, 31-348 Cracow, Poland
- Tomasz Kozik
- 3. Marian Smoluchowski Institute of Physics, Jagiellonian University, 31-348 Cracow, Poland 4. Center for Theranostics, Jagiellonian University, 31-348 Cracow, Poland
- Deepak Kumar
- 3. Marian Smoluchowski Institute of Physics, Jagiellonian University, 31-348 Cracow, Poland 4. Center for Theranostics, Jagiellonian University, 31-348 Cracow, Poland
- Szymon Niedźwiecki
- 3. Marian Smoluchowski Institute of Physics, Jagiellonian University, 31-348 Cracow, Poland 4. Center for Theranostics, Jagiellonian University, 31-348 Cracow, Poland
- Szymon Parzych
- 3. Marian Smoluchowski Institute of Physics, Jagiellonian University, 31-348 Cracow, Poland 4. Center for Theranostics, Jagiellonian University, 31-348 Cracow, Poland
- Elena Pérez del Río
- 3. Marian Smoluchowski Institute of Physics, Jagiellonian University, 31-348 Cracow, Poland 4. Center for Theranostics, Jagiellonian University, 31-348 Cracow, Poland
- Sushil Sharma
- 3. Marian Smoluchowski Institute of Physics, Jagiellonian University, 31-348 Cracow, Poland 4. Center for Theranostics, Jagiellonian University, 31-348 Cracow, Poland
- Shivani Shivani
- 3. Marian Smoluchowski Institute of Physics, Jagiellonian University, 31-348 Cracow, Poland 4. Center for Theranostics, Jagiellonian University, 31-348 Cracow, Poland
- Magdalena Skurzok
- 3. Marian Smoluchowski Institute of Physics, Jagiellonian University, 31-348 Cracow, Poland 4. Center for Theranostics, Jagiellonian University, 31-348 Cracow, Poland 5. INFN, National Laboratory of Frascati, 00044 Frascati, Italy
- Ewa Łucja Stępień
- 3. Marian Smoluchowski Institute of Physics, Jagiellonian University, 31-348 Cracow, Poland 4. Center for Theranostics, Jagiellonian University, 31-348 Cracow, Poland
- Faranak Tayefi
- 3. Marian Smoluchowski Institute of Physics, Jagiellonian University, 31-348 Cracow, Poland 4. Center for Theranostics, Jagiellonian University, 31-348 Cracow, Poland
- Paweł Moskal
- 3. Marian Smoluchowski Institute of Physics, Jagiellonian University, 31-348 Cracow, Poland 4. Center for Theranostics, Jagiellonian University, 31-348 Cracow, Poland
- DOI
- https://doi.org/10.3934/mbe.2023669
- Journal volume & issue
-
Vol. 20,
no. 8
pp. 14938 – 14958
Abstract
In positron emission tomography (PET) studies, convolutional neural networks (CNNs) may be applied directly to the reconstructed distribution of radioactive tracers injected into the patient's body, as a pattern recognition tool. Nonetheless, unprocessed PET coincidence data exist in tabular format. This paper develops the transformation of tabular data into -dimensional matrices, as a preparation stage for classification based on CNNs. This method explicitly introduces a nonlinear transformation at the feature engineering stage and then uses principal component analysis to create the images. We apply the proposed methodology to the classification of simulated PET coincidence events originating from NEMA IEC and anthropomorphic XCAT phantom. Comparative studies of neural network architectures, including multilayer perceptron and convolutional networks, were conducted. The developed method increased the initial number of features from 6 to 209 and gave the best precision results (79.8) for all tested neural network architectures; it also showed the smallest decrease when changing the test data to another phantom.
Keywords
- positron emission tomography
- convolutional neural network
- kernel principal component analysis
- medical imaging