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Evaluation of Adaptability in Biological Models

Mohammadie Zand, Armin | 2019

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 52900 (05)
  4. University: Sharif University of Technology
  5. Department: Electrical Engineering
  6. Advisor(s): Tavazoei, Mohammad Saleh
  7. Abstract:
  8. Adaptation is a recurring phenomenon in biology by which biochemical systems can robustly- and in some cases completely- adapt their regulated outputs to en- vironmental disturbances and uncertainties. In nature, such a feature has been evolved in biological circuits through the construction of integral feedback control structures. Three types of biologically plausible controllers have been recently in- troduced which can ensure the existence of robust perfect adaptation for arbitrary plants. In this thesis, the main purpose is to have a comparison between them. To this end, we first find a stability criterion to relate the system’s stability with its internal parameters. We then calculate a lower bound for their sensitivity norm in order to analyze the tradeoffs between their stability and closed-loop desired performance. We also extend our findings in the case that there is the controller species dilution. Finally, we prove a model order reduction between two of these controllers. These findings gain deeper insight into how we can design and en- hance the adaptation within living cells, which is valuable for synthetic biologist researchers
  9. Keywords:
  10. Control Theory ; Biological Systems ; Adaptability ; Biological Control Mechanisms ; Robust Perfect Adaptation ; Integral Feedback Controller

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