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Games with Resources and Their Use in Modeling Effects of Anticancer Treatment

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Information Technology in Biomedicine (ITIB 2018)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 762))

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Abstract

In this work, we study an extension to evolutionary game models with the possibility to model the change and influence of the environment fluctuations for the fitness of the players. Using spatial games, those changes can be taken into account as an additional lattice dimension. In classical spatial evolutionary games (SEGT) each position on the lattice is represented by a single player or single phenotype (strategy). The local payoff for this player arises from the interactions with the neighbouring cells. With the newer approach each cell represents heterogeneous subpopulation, so can be considered as mixed or multidimensional spatial games (MSEG). This allows performing the game on a multidimensional lattice where an additional dimension is representing the evolution of resources.

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Acknowledgement

This work was supported by the Polish National Science Centre Grant no. DEC-2016/21/B/ST7/02241 (AS), the Institute of Automatic Control, Silesian University of Technology under Grant No. BK-204/RAU1/2017 (MK) and the National Centre for Research and Development Grant no. STRATEGMED2/ 267398/4/NCBR/2015 (MILESTONE – Molecular diagnostics and imaging in individualized therapy for breast, thyroid and prostate cancer) (DB). Calculations were performed on the Ziemowit computer cluster in the Laboratory of Bioinformatics and Computational Biology, created in the EU Innovative Economy Programme POIG.02.01.00-00-166/08 and expanded in the POIG.02.03.01-00-040/13 project.

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Authors and Affiliations

  1. Institute of Automatic Control, Silesian University of Technology, Akademicka 16, 44-100, Gliwice, Poland

    Andrzej Swierniak, Michal Krzeslak & Damian Borys

Authors
  1. Andrzej Swierniak
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  2. Michal Krzeslak
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  3. Damian Borys
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Corresponding author

Correspondence to Andrzej Swierniak .

Editor information

Editors and Affiliations

  1. Faculty of Biomedical Engineering, Silesian University of Technology, Zabrze, Poland

    Ewa Pietka

  2. Faculty of Biomedical Engineering, Silesian University of Technology, Zabrze, Poland

    Pawel Badura

  3. Faculty of Biomedical Engineering, Silesian University of Technology, Zabrze, Poland

    Jacek Kawa

  4. Faculty of Biomedical Engineering, Silesian University of Technology, Zabrze, Poland

    Wojciech Wieclawek

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Swierniak, A., Krzeslak, M., Borys, D. (2019). Games with Resources and Their Use in Modeling Effects of Anticancer Treatment. In: Pietka, E., Badura, P., Kawa, J., Wieclawek, W. (eds) Information Technology in Biomedicine. ITIB 2018. Advances in Intelligent Systems and Computing, vol 762. Springer, Cham. https://doi.org/10.1007/978-3-319-91211-0_26

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