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Controlled homeodynamic concept using a conformable calculus in artificial biological systems

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  • Ibrahim, Rabha W.
  • Altulea, Dania

Abstract

Homeodynamic system (HS) in the biological studies (from the Greek homoios (similar) and Dynamis (energy)) designates the accommodating instruments of stabilizing and repairing of the fundamental reliability and functional efficiency of living schemes. In this effort, we employ the concept of conformable calculus (CC) to generalize the homeodynamic system. The generalization requires a controller in the system to preserve the variables robustly regulated, oscillated, and synchronized variables at a certain set point. Here, we show how the selectivity of the CC makes differences in the behavior of an oscillation and the other properties of HS.

Suggested Citation

  • Ibrahim, Rabha W. & Altulea, Dania, 2020. "Controlled homeodynamic concept using a conformable calculus in artificial biological systems," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    • Handle: RePEc:eee:chsofr:v:140:y:2020:i:c:s0960077920305282
    DOI: 10.1016/j.chaos.2020.110132
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    1. Nazir, Aqsa & Ahmed, Naveed & Khan, Umar & Mohyud-din, Syed Tauseef, 2020. "On stability of improved conformable model for studying the dynamics of a malnutrition community," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).
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    3. Baleanu, Dumitru & Jajarmi, Amin & Mohammadi, Hakimeh & Rezapour, Shahram, 2020. "A new study on the mathematical modelling of human liver with Caputo–Fabrizio fractional derivative," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
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