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Robust Fuzzy Sliding Mode Controller Design for a Multiple Sclerosis Model

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Intelligent and Fuzzy Techniques in Big Data Analytics and Decision Making (INFUS 2019)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1029))

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Abstract

Multiple sclerosis is an inflammatory autoimmune disease which involves brain. The myelin and axons of the central nervous system (CNS) are attacked by the penetrative immune cells; this action contributes to some irreversible physical disabilities. MS is a heterogeneous disease; therefore, extracting a perfect model including all the subtypes of the illness is very challenging. Here, a recently proposed state space model of MS is considered and by taking a stimulus signal as the control input, a fuzzy sliding mode controller is designed for a more realistic condition, that is, two principal coefficients of the mode are uncertain. The simulation results demonstrate appropriate performance of the proposed controller.

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References

  1. Dendrou, A., Fugger, L., Friese, M.A.: Immunopathology of multiple sclerosis. Nat. Rev. Immunol. 15(9), 545–558 (2015)

    Article  Google Scholar 

  2. Compston, A.: Multiple Sclerosis. Lancet 372(9648), 1502–1517 (2008)

    Article  Google Scholar 

  3. Friese, A., Schattling, B., Fugger, L.: Mechanisms of neurodegeneration and axonal dysfunction in multiple sclerosis. Nat. Rev. Neurol. 10(4), 225–238 (2014)

    Article  Google Scholar 

  4. Milo, R., Miller, A.: Revised diagnostic criteria of multiple sclerosis. Autoimmun. Rev. 13(4–5), 518–524 (2014)

    Article  Google Scholar 

  5. Kannan, V.: A minimal unified model of disease trajectories captures hallmarks of multiple sclerosis. Math. Biosci. 289, 1–8 (2017)

    Article  MathSciNet  Google Scholar 

  6. Viglietta, V.: Loss of functional suppression by CD4+CD25+ regulatory T cells in patients with multiple sclerosis. J. Exp. Med. 199(7), 971–979 (2004)

    Article  Google Scholar 

  7. Sakaguchi, S., Asano, M., Itoh, M.: Immunologic self- tolerance maintained by activated T cells expressing IL-2 receptor alpha-chains (CD25). Breakdown of a single mechanism of self-tolerance causes various autoimmune diseases. J. Immunol. 155(3), 1151–1164 (1995)

    Google Scholar 

  8. Martinez-Pasamar, S.: Dynamic cross-regulation of antigen-specific effector and regulatory T cell subpopulations and microglia in brain autoimmunity. BMC Syst. Biol. 7(1), 7–34 (2013)

    Article  Google Scholar 

  9. Brück, W.: The pathology of multiple sclerosis is the result of focal inflammatory demyelination with axonal damage. J. Neurol. 252(5), v3–v9 (2005)

    Article  Google Scholar 

  10. Chari, D.M.: Remyelination in multiple sclerosis. Int. Rev. Neurobiol. 79, 589–620 (2007)

    Article  Google Scholar 

  11. Ge, Y.: Brain atrophy in relapsing-remitting multiple sclerosis and secondary progressive multiple sclerosis: longitudinal quantitative analysis. Radiology 214(3), 665–670 (2000)

    Article  Google Scholar 

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Correspondence to Ramin Vatankhah .

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Kohanpour, E., Taghvaei, S., Vatankhah, R., Eghtesad, M. (2020). Robust Fuzzy Sliding Mode Controller Design for a Multiple Sclerosis Model. In: Kahraman, C., Cebi, S., Cevik Onar, S., Oztaysi, B., Tolga, A., Sari, I. (eds) Intelligent and Fuzzy Techniques in Big Data Analytics and Decision Making. INFUS 2019. Advances in Intelligent Systems and Computing, vol 1029. Springer, Cham. https://doi.org/10.1007/978-3-030-23756-1_157

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