Vibrational resonance in a time-delayed genetic toggle switch
► Vibrational resonance in a time-delayed genetic toggle switch is found. ► Variations of the low-frequency signal lead to changes in the width of the resonance peak. ► Variations of the high-frequency signal shift the resonance curves. ► The effect of the delay on the resonance is investigated. Bio...
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| Veröffentlicht in: | Communications in nonlinear science & numerical simulation 2013-02, Vol.18 (2), p.411-416 |
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| container_title | Communications in nonlinear science & numerical simulation |
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| creator | Daza, Alvar Wagemakers, Alexandre Rajasekar, Shanmuganathan Sanjuán, Miguel A.F. |
| description | ► Vibrational resonance in a time-delayed genetic toggle switch is found. ► Variations of the low-frequency signal lead to changes in the width of the resonance peak. ► Variations of the high-frequency signal shift the resonance curves. ► The effect of the delay on the resonance is investigated.
Biological oscillators can respond in a surprising way when they are perturbed by two external periodic forcing signals of very different frequencies. The response of the system to a low-frequency signal can be enhanced or depressed when a high-frequency signal is acting. This is what is known as vibrational resonance (VR). Here we study this phenomenon in a simple time-delayed genetic toggle switch, which is a synthetic gene-regulatory network. We have found out how the low-frequency signal changes the range of the response, while the high-frequency signal influences the amplitude at which the resonance occurs. The delay of the toggle switch has also a strong effect on the resonance since it can also induce autonomous oscillations. |
| doi_str_mv | 10.1016/j.cnsns.2012.07.010 |
| format | Article |
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Biological oscillators can respond in a surprising way when they are perturbed by two external periodic forcing signals of very different frequencies. The response of the system to a low-frequency signal can be enhanced or depressed when a high-frequency signal is acting. This is what is known as vibrational resonance (VR). Here we study this phenomenon in a simple time-delayed genetic toggle switch, which is a synthetic gene-regulatory network. We have found out how the low-frequency signal changes the range of the response, while the high-frequency signal influences the amplitude at which the resonance occurs. The delay of the toggle switch has also a strong effect on the resonance since it can also induce autonomous oscillations.</description><identifier>ISSN: 1007-5704</identifier><identifier>EISSN: 1878-7274</identifier><identifier>DOI: 10.1016/j.cnsns.2012.07.010</identifier><language>eng</language><publisher>Elsevier B.V</publisher><subject>Amplitudes ; Computer simulation ; Delay ; Genetic toggle switch ; Genetics ; Oscillations ; Oscillators ; Switches ; Vibrational resonance ; Virtual reality</subject><ispartof>Communications in nonlinear science & numerical simulation, 2013-02, Vol.18 (2), p.411-416</ispartof><rights>2012 Elsevier B.V.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c369t-90b9cfeb82c8724d6a6d6e49e80095a02e5320c41f631860e1d203abb1648f443</citedby><cites>FETCH-LOGICAL-c369t-90b9cfeb82c8724d6a6d6e49e80095a02e5320c41f631860e1d203abb1648f443</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.cnsns.2012.07.010$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,780,784,3550,27924,27925,45995</link.rule.ids></links><search><creatorcontrib>Daza, Alvar</creatorcontrib><creatorcontrib>Wagemakers, Alexandre</creatorcontrib><creatorcontrib>Rajasekar, Shanmuganathan</creatorcontrib><creatorcontrib>Sanjuán, Miguel A.F.</creatorcontrib><title>Vibrational resonance in a time-delayed genetic toggle switch</title><title>Communications in nonlinear science & numerical simulation</title><description>► Vibrational resonance in a time-delayed genetic toggle switch is found. ► Variations of the low-frequency signal lead to changes in the width of the resonance peak. ► Variations of the high-frequency signal shift the resonance curves. ► The effect of the delay on the resonance is investigated.
Biological oscillators can respond in a surprising way when they are perturbed by two external periodic forcing signals of very different frequencies. The response of the system to a low-frequency signal can be enhanced or depressed when a high-frequency signal is acting. This is what is known as vibrational resonance (VR). Here we study this phenomenon in a simple time-delayed genetic toggle switch, which is a synthetic gene-regulatory network. We have found out how the low-frequency signal changes the range of the response, while the high-frequency signal influences the amplitude at which the resonance occurs. The delay of the toggle switch has also a strong effect on the resonance since it can also induce autonomous oscillations.</description><subject>Amplitudes</subject><subject>Computer simulation</subject><subject>Delay</subject><subject>Genetic toggle switch</subject><subject>Genetics</subject><subject>Oscillations</subject><subject>Oscillators</subject><subject>Switches</subject><subject>Vibrational resonance</subject><subject>Virtual reality</subject><issn>1007-5704</issn><issn>1878-7274</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><recordid>eNqFkD1PwzAURS0EEqXwC1gysiQ8f8ROhg6ogoJUiQVYLcd5Ka7SpNguqP8elzLDdN9wz5XeIeSaQkGBytt1YYcwhIIBZQWoAiickAmtVJUrpsRpugFUXioQ5-QihDUkqi7FhMzeXONNdONg-sxjSDlYzNyQmSy6DeYt9maPbbbCAaOzWRxXqx6z8OWifb8kZ53pA1795pS8Pty_zB_z5fPiaX63zC2XdcxraGrbYVMxWykmWmlkK1HUWAHUpQGGJWdgBe0kp5UEpC0DbpqGSlF1QvApuTnubv34scMQ9cYFi31vBhx3QVNV8hKo4ur_KuWyFIoKnqr8WLV-DMFjp7febYzfawr64FWv9Y9XffCqQenkNVGzI4Xp4U-HXgfrMElrnUcbdTu6P_lv_LmAnQ</recordid><startdate>201302</startdate><enddate>201302</enddate><creator>Daza, Alvar</creator><creator>Wagemakers, Alexandre</creator><creator>Rajasekar, Shanmuganathan</creator><creator>Sanjuán, Miguel A.F.</creator><general>Elsevier B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>FR3</scope><scope>P64</scope><scope>RC3</scope><scope>7SC</scope><scope>7TB</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>201302</creationdate><title>Vibrational resonance in a time-delayed genetic toggle switch</title><author>Daza, Alvar ; Wagemakers, Alexandre ; Rajasekar, Shanmuganathan ; Sanjuán, Miguel A.F.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c369t-90b9cfeb82c8724d6a6d6e49e80095a02e5320c41f631860e1d203abb1648f443</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2013</creationdate><topic>Amplitudes</topic><topic>Computer simulation</topic><topic>Delay</topic><topic>Genetic toggle switch</topic><topic>Genetics</topic><topic>Oscillations</topic><topic>Oscillators</topic><topic>Switches</topic><topic>Vibrational resonance</topic><topic>Virtual reality</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Daza, Alvar</creatorcontrib><creatorcontrib>Wagemakers, Alexandre</creatorcontrib><creatorcontrib>Rajasekar, Shanmuganathan</creatorcontrib><creatorcontrib>Sanjuán, Miguel A.F.</creatorcontrib><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Biotechnology and BioEngineering Abstracts</collection><collection>Genetics Abstracts</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Communications in nonlinear science & numerical simulation</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Daza, Alvar</au><au>Wagemakers, Alexandre</au><au>Rajasekar, Shanmuganathan</au><au>Sanjuán, Miguel A.F.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Vibrational resonance in a time-delayed genetic toggle switch</atitle><jtitle>Communications in nonlinear science & numerical simulation</jtitle><date>2013-02</date><risdate>2013</risdate><volume>18</volume><issue>2</issue><spage>411</spage><epage>416</epage><pages>411-416</pages><issn>1007-5704</issn><eissn>1878-7274</eissn><abstract>► Vibrational resonance in a time-delayed genetic toggle switch is found. ► Variations of the low-frequency signal lead to changes in the width of the resonance peak. ► Variations of the high-frequency signal shift the resonance curves. ► The effect of the delay on the resonance is investigated.
Biological oscillators can respond in a surprising way when they are perturbed by two external periodic forcing signals of very different frequencies. The response of the system to a low-frequency signal can be enhanced or depressed when a high-frequency signal is acting. This is what is known as vibrational resonance (VR). Here we study this phenomenon in a simple time-delayed genetic toggle switch, which is a synthetic gene-regulatory network. We have found out how the low-frequency signal changes the range of the response, while the high-frequency signal influences the amplitude at which the resonance occurs. The delay of the toggle switch has also a strong effect on the resonance since it can also induce autonomous oscillations.</abstract><pub>Elsevier B.V</pub><doi>10.1016/j.cnsns.2012.07.010</doi><tpages>6</tpages></addata></record> |
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| subjects | Amplitudes Computer simulation Delay Genetic toggle switch Genetics Oscillations Oscillators Switches Vibrational resonance Virtual reality |
| title | Vibrational resonance in a time-delayed genetic toggle switch |
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