Scientific Research and Essays

  • Abbreviation: Sci. Res. Essays
  • Language: English
  • ISSN: 1992-2248
  • DOI: 10.5897/SRE
  • Start Year: 2006
  • Published Articles: 2752

Full Length Research Paper

An inverse feedback fuzzy state space modeling (FFSSM) for insulin-glucose regulatory system in humans

Izaz Ullah Khan1,2,3, Tahir Ahmad1,2* and Normah Maan1,2
1Department of Mathematical Sciences, Faculty of Science, Teknologi Malaysia, 81310 Skudai, Johar Darul Ta’zim, Malaysia. 2Ibnusina Institute of Fundamental Sciences, Universiti Teknologi Malaysia, 81310 Skudai, Johar Darul Ta’zim, Malaysia. 3Department of Mathematics, COMSATS Institute of Information Technology,  Abbottabad, Pakistan.
Email: [email protected]

  •  Accepted: 08 August 2013
  •  Published: 25 August 2013

Abstract

The complexity and nonlinearity of the insulin-glucose regulatory system in humans demands for an inverse modeling technique. In this study the insulin-glucose regulatory system was modeled with the help of an inverse feedback fuzzy state space modeling (FFSSM) approach. The feedback insulin regulatory system was presented as a state space model, its input/output parameters fuzzified and the optimized values deffuzzified using the “Optimized Defuzzified Value Theorem”. In order to get a more detailed insight of the system, the properties concerning state stability of the model were studied. The model was tested and analyzed for insulin sensitive and insulin resistant subjects. The model was found state stable for an intercellular glucose level above 3.50080 mgdl-1 and 20.0080 mgdl-1 for insulin sensitive and insulin resistive subjects, respectively. At the glucose level lower than this specified level, the insulin-glucose system may stop working and the subject be encountered with some serious fatality. Decreasing the glucose intake below 103.6 and 64.5 mgdl-1, in case of insulin sensitive and insulin resistant subjects, respectively, may associate unpredictable parameter values to fuzzy parameters depicting low glucose levels.

 

Key words: Insulin-glucose regulations, feedback systems, fuzzy state space modeling (FSSM), inverse modeling.

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