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On the Role of Delays in Biological ...

Gomez, Marcella Mary.

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On the Role of Delays in Biological Systems: Analysis and Design.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	On the Role of Delays in Biological Systems: Analysis and Design./
作者:	Gomez, Marcella Mary.
面頁冊數:	117 p.
附註:	Source: Dissertation Abstracts International, Volume: 76-02(E), Section: B.
Contained By:	Dissertation Abstracts International76-02B(E).
標題:	Mechanical engineering. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3637031
ISBN:	9781321193992

On the Role of Delays in Biological Systems: Analysis and Design.
Gomez, Marcella Mary.

On the Role of Delays in Biological Systems: Analysis and Design. - 117 p.

Source: Dissertation Abstracts International, Volume: 76-02(E), Section: B.

Thesis (Ph.D.)--California Institute of Technology, 2015.

This item must not be sold to any third party vendors.

This work quantifies the nature of delays in genetic regulatory networks and their effect on system dynamics. It is known that a time lag can emerge from a sequence of biochemical reactions. Applying this modeling framework to the protein production processes, delay distributions are derived in a stochastic (probability density function) and deterministic setting (impulse function), whilst being shown to be equivalent under different assumptions. The dependence of the distribution properties on rate constants, gene length, and time-varying temperatures is investigated. Overall, the distribution of the delay in the context of protein production processes is shown to be highly dependent on the size of the genes and mRNA strands as well as the reaction rates. Results suggest longer genes have delay distributions with a smaller relative variance, and hence, less uncertainty in the completion times, however, they lead to larger delays. On the other hand large uncertainties may actually play a positive role, as broader distributions can lead to larger stability regions when this formalization of the protein production delays is incorporated into a feedback system.

ISBN: 9781321193992Subjects--Topical Terms:

649730
Mechanical engineering.

On the Role of Delays in Biological Systems: Analysis and Design.
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245 1 0 $a On the Role of Delays in Biological Systems: Analysis and Design.
300 $a 117 p.
500 $a Source: Dissertation Abstracts International, Volume: 76-02(E), Section: B.
500 $a Adviser: Richard M. Murray.
502 $a Thesis (Ph.D.)--California Institute of Technology, 2015.
506 $a This item must not be sold to any third party vendors.
520 $a This work quantifies the nature of delays in genetic regulatory networks and their effect on system dynamics. It is known that a time lag can emerge from a sequence of biochemical reactions. Applying this modeling framework to the protein production processes, delay distributions are derived in a stochastic (probability density function) and deterministic setting (impulse function), whilst being shown to be equivalent under different assumptions. The dependence of the distribution properties on rate constants, gene length, and time-varying temperatures is investigated. Overall, the distribution of the delay in the context of protein production processes is shown to be highly dependent on the size of the genes and mRNA strands as well as the reaction rates. Results suggest longer genes have delay distributions with a smaller relative variance, and hence, less uncertainty in the completion times, however, they lead to larger delays. On the other hand large uncertainties may actually play a positive role, as broader distributions can lead to larger stability regions when this formalization of the protein production delays is incorporated into a feedback system.
520 $a Furthermore, evidence suggests that delays may play a role as an explicit design into existing controlling mechanisms. Accordingly, the reccurring dual-feedback motif is also investigated with delays incorporated into the feedback channels. The dual-delayed feedback is shown to have stabilizing effects through a control theoretic approach. Lastly, a distributed delay based controller design method is proposed as a potential design tool. In a preliminary study, the dual-delayed feedback system re-emerges as an effective controller design.
590 $a School code: 0037.
650 4 $a Mechanical engineering. $3 649730
650 4 $a Systematic biology. $3 3173492
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710 2 $a California Institute of Technology. $b Mechanical Engineering. $3 2093076
773 0 $t Dissertation Abstracts International $g 76-02B(E).
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