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Sensitivity Analysis of Biomedical Models Using Green’s Function

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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

One of the important steps of analysis of any mathematical model is the sensitivity analysis. The most frequently used type of sensitivity analysis is the local parametric sensitivity analysis that answers the question how changes of model’s parameters influence the solution of the model. It is routinely used but it can be applied only for constant parameters. It cannot be applied for non-stationary parameters nor for varying in time external input signals. The full information about the sensitivity in such a case can be given by the sensitivity analysis using Green’s function. This work describes a toolbox written in MATLAB environment, which can be useful in sensitivity analysis of biomedical models described by system of ordinary differential equations. To illustrate this type of sensitivity analysis, we use the created tool to analyze a model of cell signaling pathway of p53 protein, which plays crucial role in the response of tumor and healthy cells to radiotherapy.

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Notes

  1. 1.

    https://www.mathworks.com/matlabcentral/fileexchange/66028-gfodes.

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Acknowledgement

This work was supported by the Polish National Science Centre under grant DEC-2016/21/B/ST7/02241 (K.F.) and by the Silesian University of Technology under grants BKM-508/RAU1/2017/12 (K.K.), BK-204/RAU1/2017/3 (K.Ł.). Calculations were performed using the infrastructure supported by the computer cluster Ziemowit (www.ziemowit.hpc.polsl.pl) funded by the Silesian BIO-FARMA project No. POIG.02.01.00-00-166/08 and expanded in the POIG.02.03.01-00-040/13 in the Computational Biology and Bioinformatics Laboratory of the Biotechnology Centre at the Silesian University of Technology.

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Authors and Affiliations

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

    Krzysztof Łakomiec, Karolina Kurasz & Krzysztof Fujarewicz

Authors
  1. Krzysztof Łakomiec
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  2. Karolina Kurasz
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  3. Krzysztof Fujarewicz
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Corresponding author

Correspondence to Krzysztof Łakomiec .

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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Łakomiec, K., Kurasz, K., Fujarewicz, K. (2019). Sensitivity Analysis of Biomedical Models Using Green’s Function. 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_42

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