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Dynamical Control for the Parametric Uncertain Cancer Systems

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  • Intelligent Control and Applications
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Abstract

In this study, we consider a parametric uncertain Lotka-Volterra cancer model including three interacting cell populations of tumor cells, healthy host cells and immune effector cells. The biological parameter (i.e., cell growth rate) is described as a form of the triangular fuzzy number. By using grade mean value conversion, the imprecise fuzzy parameter is translated into the degree of optimism (λ-integral value λ ∈ [0,1]) interval. We derive the sufficient conditions for the existence of the region of asymptotic stability (RAS) in the fuzzy cancer model. The boundary crisis of transient chaos and properties of RAS are investigated under fuzzy environment. We present a dynamical perturbation control to avoid uncontrolled tumor cell growth and prevent healthy cell extinction.

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Author information

Authors and Affiliations

  1. School of Mechanical and Electrical Engineering, Xiamen University Tan Kah Kee College, Zhangzhou, 363105, China

    Yi-Horng Lai

  2. Department of Mechanical and Electro-Mechanical Engineering, National Sun Yat-sen University, Kaohsiung, 80424, Taiwan

    Yi-Horng Lai & Jau-Woei Perng

  3. Department of Sports Medicine, Kaohsiung Medical University, Kaohsiung, 80708, Taiwan

    Lan-Yuen Guo

  4. Department of Information Technology & Communication, Shih Chien University, Kaohsiung, 84550, Taiwan

    Kun-Ching Wang

Authors
  1. Yi-Horng Lai
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  2. Lan-Yuen Guo
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  3. Kun-Ching Wang
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  4. Jau-Woei Perng
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Corresponding author

Correspondence to Jau-Woei Perng.

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Publisher's Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Recommended by Associate Editor Ohmin Kwon under the direction of Editor Euntai Kim. The authors would like to express grateful acknowledgement to Academician of Academia Sinica Kuang-Wei Han for his valuable guidance and encouragement. This paper was supported by National Sun Yat-sen University and Kaohsiung Medical University (No. 108-1007).

Yi-Horng Lai received his B.S. degree from Naval Academy, Kaohsiung, Taiwan in 1992, and an M.S. degree in weapon system engineering from Chung Cheng Institute of Technology, Taoyuan, Taiwan, in 2001 and a Ph.D. degree in mechanical and electro-mechanical engineering from National Sun Yat-sen University, Kaohsiung, Taiwan in 2017. From 2017 to 2019, he was a postdoctoral fellow in National Sun Yat-Sen University, Kaohsiung, Taiwan. He is currently an assistant professor in School of Mechanical and Electrical Engineering, Xiamen University Tan Kah Kee College, China. His research interests include nonlinear control, robust control, and bio-signal processing.

Lan-Yuen Guo received his B.S. degree in Physical Therapy from National Yang-Ming University, Taiwan in 1992, an M.S. degree in 1996, and a Ph.D. in Biomedical Engineering from National Cheng-Kung University, Tainan, Taiwan in 2003. He has been an assistant and associate professor in Department of Sports Medicine from 2004 to 2012, a professor and director in Department of Sports Medicine, Kaohsiung Medical University, Kaohsiung, Taiwan from 2012 to 2019. His research interests include sports medicine, biomechanics, movement science, physical therapy and rehabilitation engineering.

Kun-Ching Wang received his B.S. degree in electric engineering from Southern Taiwan University of Technology in 1998 and an M.S. degree in electric engineering from Feng Chia University in 2000, and a Ph.D. degree in control engineering from National Chiao Tung University (NCTU), Hsinchu, Taiwan in 2005. From 2005 to Jan. 2008, He was with R&D in ITRI. Since Feb. 2008, he has been with the Department of Information Technology & Communication, Shih Chien University, Kaohsiung, Taiwan, where he is currently a Professor. Prof. Wang is a member of Institute of Electronics, Information and Communication Engineers (IEICE) and Institute of Electrical and Electronics Engineers (IEEE). He served as the Chairman of Department of Information Technology & Communication, Shih Chien University, Taiwan, from 2011 to 2014. Prof. Wang received a special outstanding Researcher from Minister of Science and Technology, Taiwan, in the years of 2011 to 2018. His research interests include speech processing, machine learning, wavelet analysis and AIoT Technology and applications.

Jau-Woei Perng received his B.S. and M.S. degrees in electrical engineering from the Yuan Ze University, Chungli, Taiwan, in 1995 and 1997, respectively, and his Ph.D. degree in electrical and control engineering from the National Chiao Tung University (NCTU), Hsinchu, Taiwan, in 2003. From 2004 to 2008, he was a Research Assistant Professor with the Department of Electrical and Control Engineering, NCTU. Since 2008, he has been with the Department of Mechanical and Electromechanical Engineering, National Sun Yat-sen University, Kaohsiung, Taiwan, where he is currently a professor. His research interests include robust control, nonlinear control, fuzzy logic control, neural networks, mobile robots, systems engineering, and intelligent vehicle control.

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Lai, YH., Guo, LY., Wang, KC. et al. Dynamical Control for the Parametric Uncertain Cancer Systems. Int. J. Control Autom. Syst. 18, 2411–2422 (2020). https://doi.org/10.1007/s12555-019-0291-2

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  • DOI: https://doi.org/10.1007/s12555-019-0291-2

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