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Construction of a New Model to Investigate Breast Cancer Data

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Modeling, Dynamics, Optimization and Bioeconomics IV (ICABR 2017, DGS 2018)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 365))

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Abstract

Modelling is a way to describe the elements of the network/system, their states and their interactions with other elements in order to understand the current state of knowledge of a system. Thereby, the mathematical models may predict the experiments which are difficult or impossible to do in the lab and can be used to discover indirect relationships between model’s components. Hereby, the aim of this study is to develop a network structure for the breast cancer from the analyses of different datasets which include the data of the luminal type at the stage 1–3 breast cancer diagnosed in total 377 patients and related to the PI3KCD signalling pathway. Accordingly, in the analyses, the relations of the 65 oncogenes are revealed by a true network in a binary format. Then, we construct the quasi breast cancer networks by using different parametric and non-parametric models, namely, Gaussian graphical model, copula Gaussian graphical model and multivariate adaptive regression splines with/without interaction terms. In the computations, we evaluate the performance of all suggested mathematical models via F-measure and accuracy measure criteria. We consider that the outcomes can be useful for the selection of the best fitted model in the construction of the breast cancer gene-gene interaction networks.

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Acknowledgements

The authors thank to the BAP project at Middle East Technical University (Project no: BAP-08-11-2017-035 for their support.

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Authors and Affiliations

  1. GENZ Biotechnology, Bilkent Cyberpark, 06800, Ankara, Turkey

    Umut Ağyüz

  2. Department of Statistics, METU, Middle East Technical University, 06800, Ankara, Turkey

    Vilda Purutçuoğlu

  3. Department of Social Work, Ankara University, Ankara, Turkey

    Eda Purutçuoğlu

  4. Department of Medical Oncology, Ankara University School of Medicine, Ankara, Turkey

    Yüksel Ürün

Authors
  1. Umut Ağyüz
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  2. Vilda Purutçuoğlu
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  3. Eda Purutçuoğlu
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  4. Yüksel Ürün
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Corresponding author

Correspondence to Vilda Purutçuoğlu .

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Editors and Affiliations

  1. Department of Mathematics and LIAAD—INESC TEC, Faculty of Science, University of Porto, Porto, Portugal

    Alberto Pinto

  2. Department of Agricultural and Resource Economics, University of California, Berkeley, CA, USA

    David Zilberman

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Ağyüz, U., Purutçuoğlu, V., Purutçuoğlu, E., Ürün, Y. (2021). Construction of a New Model to Investigate Breast Cancer Data. In: Pinto, A., Zilberman, D. (eds) Modeling, Dynamics, Optimization and Bioeconomics IV. ICABR DGS 2017 2018. Springer Proceedings in Mathematics & Statistics, vol 365. Springer, Cham. https://doi.org/10.1007/978-3-030-78163-7_2

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