<?xml version="1.0" encoding="UTF-8"?><?xml-stylesheet type="text/xsl" href="static/style.xsl"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-09-18T21:47:34Z</responseDate><request verb="GetRecord" identifier="oai:dspace.mit.edu:1721.1/104268" metadataPrefix="dim">https://dspace.mit.edu/server/oai/request</request><GetRecord><record><header><identifier>oai:dspace.mit.edu:1721.1/104268</identifier><datestamp>2022-01-13T07:54:05Z</datestamp><setSpec>com_1721.1_7582</setSpec><setSpec>com_1721.1_7581</setSpec><setSpec>col_1721.1_131023</setSpec></header><metadata><dim:dim xmlns:dim="http://www.dspace.org/xmlns/dspace/dim" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:doc="http://www.lyncode.com/xoai" xsi:schemaLocation="http://www.dspace.org/xmlns/dspace/dim http://www.dspace.org/schema/dim.xsd">
   <dim:field mdschema="dc" element="contributor" qualifier="advisor" lang="en_US">Domitilla Del Vecchio.</dim:field>
   <dim:field mdschema="dc" element="contributor" qualifier="author" lang="en_US">Shah, Rushina (Rushina Jaidip)</dim:field>
   <dim:field mdschema="dc" element="contributor" qualifier="other" lang="en_US">Massachusetts Institute of Technology. Department of Mechanical Engineering.</dim:field>
   <dim:field mdschema="dc" element="contributor" qualifier="department">Massachusetts Institute of Technology. Department of Mechanical Engineering</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="accessioned">2016-09-13T19:19:25Z</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="available">2016-09-13T19:19:25Z</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="copyright" lang="en_US">2016</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="issued" lang="en_US">2016</dim:field>
   <dim:field mdschema="dc" element="identifier" qualifier="uri">http://hdl.handle.net/1721.1/104268</dim:field>
   <dim:field mdschema="dc" element="identifier" qualifier="oclc" lang="en_US">958161177</dim:field>
   <dim:field mdschema="dc" element="description" lang="en_US">Thesis: S.M., Massachusetts Institute of Technology, Department of Mechanical Engineering, 2016.</dim:field>
   <dim:field mdschema="dc" element="description" lang="en_US">Cataloged from PDF version of thesis.</dim:field>
   <dim:field mdschema="dc" element="description" lang="en_US">Includes bibliographical references (pages 97-99).</dim:field>
   <dim:field mdschema="dc" element="description" qualifier="abstract" lang="en_US">This work analyzes various topologies of phosphorylation cycles with respect to two properties: modularity, that is the ability to be treated as separate functional units irrespective of interconnections, and insulation, the ability to attenuate the effect of retroactivity applied by downstream systems and hence facilitate modular design in synthetic biology. Phosphorylation cycles are ubiquitous in cell signal-transduction systems. Single phosphorylation cycles have been found to have insulating properties that reduce the effect of downstream loads. The analysis of these cycles is thus important in understanding their role in signaling systems in the cell, as well as to design modular units in synthetic biology. In this work, these systems are treated as input-output systems, and singular perturbation methods based on their fast time-scale of operation are used to develop a framework to analyze their retroactivity attenuation properties. Single phosphorylation cycles with kinase input show a trade-off in attenuating retroactivity to the input and output. Using this framework, we found that a cascade of phosphorylation cycles break this trade-off, and further, that there is a optimal number of cycles that maximally extends the linear operating region of the input while keeping the desired retroactivity properties, when a common phosphatase is used. A double phosphorylation cycle with kinase input shows similar retroactivity attenuation properties as the single cycle, but shows a non-linear ultrasensitive input-output response. Single and double phosphorylation cycles with the substrate as input show no modularity properties. These findings provide design strategies for insulation devices for synthetic biology applications, as well as a test for whether such naturally occurring systems can be considered modular.</dim:field>
   <dim:field mdschema="dc" element="description" qualifier="statementofresponsibility" lang="en_US">by Rushina Shah.</dim:field>
   <dim:field mdschema="dc" element="description" qualifier="degree" lang="en_US">S.M.</dim:field>
   <dim:field mdschema="dc" element="format" qualifier="extent" lang="en_US">99 pages</dim:field>
   <dim:field mdschema="dc" element="language" qualifier="iso" lang="en_US">eng</dim:field>
   <dim:field mdschema="dc" element="publisher" lang="en_US">Massachusetts Institute of Technology</dim:field>
   <dim:field mdschema="dc" element="rights" lang="en_US">M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission.</dim:field>
   <dim:field mdschema="dc" element="rights" qualifier="uri" lang="en_US">http://dspace.mit.edu/handle/1721.1/7582</dim:field>
   <dim:field mdschema="dc" element="subject" lang="en_US">Mechanical Engineering.</dim:field>
   <dim:field mdschema="dc" element="title" lang="en_US">Modularity of signaling cycle architectures</dim:field>
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	&lt;Language>eng&lt;/Language>
   	&lt;Title>Modularity of signaling cycle architectures&lt;/Title>
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   	&lt;PublicationDate>2016&lt;/PublicationDate>
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        	&lt;DisplayName>Shah, Rushina (Rushina Jaidip)&lt;/DisplayName>
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            &lt;DisplayName>Massachusetts Institute of Technology&lt;/DisplayName>
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    &lt;Keyword>Mechanical Engineering.&lt;/Keyword>
   	&lt;Abstract>This work analyzes various topologies of phosphorylation cycles with respect to two properties: modularity, that is the ability to be treated as separate functional units irrespective of interconnections, and insulation, the ability to attenuate the effect of retroactivity applied by downstream systems and hence facilitate modular design in synthetic biology. Phosphorylation cycles are ubiquitous in cell signal-transduction systems. Single phosphorylation cycles have been found to have insulating properties that reduce the effect of downstream loads. The analysis of these cycles is thus important in understanding their role in signaling systems in the cell, as well as to design modular units in synthetic biology. In this work, these systems are treated as input-output systems, and singular perturbation methods based on their fast time-scale of operation are used to develop a framework to analyze their retroactivity attenuation properties. Single phosphorylation cycles with kinase input show a trade-off in attenuating retroactivity to the input and output. Using this framework, we found that a cascade of phosphorylation cycles break this trade-off, and further, that there is a optimal number of cycles that maximally extends the linear operating region of the input while keeping the desired retroactivity properties, when a common phosphatase is used. A double phosphorylation cycle with kinase input shows similar retroactivity attenuation properties as the single cycle, but shows a non-linear ultrasensitive input-output response. Single and double phosphorylation cycles with the substrate as input show no modularity properties. These findings provide design strategies for insulation devices for synthetic biology applications, as well as a test for whether such naturally occurring systems can be considered modular.&lt;/Abstract>
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