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Global Sensitivity Analysis for a Chronic Myelogenous Leukemia Model

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Numerical Methods and Applications (NMA 2018)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 11189))

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Abstract

The goal of this paper is to carry out a global sensitivity analysis applied to a mathematical model for chronic myelogenous leukemia (CML) dynamics with T cell interaction. The interaction mechanism between naïve T cells, effector T cells, and CML cancer cells in the body is modeled by a system of ordinary differential equations which defines rates of variation for the three cell populations. We explain how to globally analyse the sensitivity of this complex system by means of two graphical objects: the sensitivity heat map and the parameter sensitivity spectrum.

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Author information

Authors and Affiliations

  1. Department of Medical Informatics and Biostatistics, University of Medicine and Pharmacy Grigore T. Popa, 700115, Iaşi, Romania

    Gabriel Dimitriu

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  1. Gabriel Dimitriu
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Correspondence to Gabriel Dimitriu .

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Editors and Affiliations

  1. Sofia University “St. Kliment Ohridski”, Sofia, Bulgaria

    Geno Nikolov

  2. Bulgarian Academy of Sciences, Sofia, Bulgaria

    Natalia Kolkovska

  3. Bulgarian Academy of Sciences, Sofia, Bulgaria

    Krassimir Georgiev

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Dimitriu, G. (2019). Global Sensitivity Analysis for a Chronic Myelogenous Leukemia Model. In: Nikolov, G., Kolkovska, N., Georgiev, K. (eds) Numerical Methods and Applications. NMA 2018. Lecture Notes in Computer Science(), vol 11189. Springer, Cham. https://doi.org/10.1007/978-3-030-10692-8_42

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  • DOI: https://doi.org/10.1007/978-3-030-10692-8_42

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-10691-1

  • Online ISBN: 978-3-030-10692-8

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