Signal transduction in a compliant short loop of Henle
SUMMARY To study the transformation of fluctuations in filtration rate into tubular fluid chloride concentration oscillations alongside the macula densa, we have developed a mathematical model for tubuloglomerular feedback (TGF) signal transduction along the pars recta, the descending limb, and the...
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Veröffentlicht in: | International journal for numerical methods in biomedical engineering 2012-03, Vol.28 (3), p.369-383 |
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creator | Layton, Anita T. Pham, Philip Ryu, Hwayeon |
description | SUMMARY
To study the transformation of fluctuations in filtration rate into tubular fluid chloride concentration oscillations alongside the macula densa, we have developed a mathematical model for tubuloglomerular feedback (TGF) signal transduction along the pars recta, the descending limb, and the thick ascending limb (TAL) of a short‐looped nephron. The model tubules are assumed to have compliant walls and, thus, a tubular radius that depends on the transmural pressure difference. Previously, it has been predicted that TGF transduction by the TAL is a generator of nonlinearities: if a sinusoidal oscillation is added to a constant TAL flow rate, then the time required for a fluid element to traverse the TAL is oscillatory in time but nonsinusoidal. The results from the new model simulations presented here predict that TGF transduction by the loop of Henle is also, in the same sense, a generator of nonlinearities. Thus, this model predicts that oscillations in tubular fluid alongside the macula densa will be nonsinusoidal and will exhibit harmonics of sinusoidal perturbations of pars recta flow. Model results also indicate that the loop acts as a low‐pass filter in the transduction of the TGF signal. Copyright © 2011 John Wiley & Sons, Ltd.
A mathematical model for signal transduction along a short loop of Henle of the rat kidney is used to study the transformation of fluctuations in filtration rate into tubular fluid chloride concentration oscillations along the macula densa. Model predicts that oscillations in tubular fluid alongside the macula densa will be nonsinusoidal and will exhibit harmonics of sinusoidal perturbations of pars recta flow, and that the loop acts as a low‐pass filter in the transduction of the tubuloglomerular feedback signal. |
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To study the transformation of fluctuations in filtration rate into tubular fluid chloride concentration oscillations alongside the macula densa, we have developed a mathematical model for tubuloglomerular feedback (TGF) signal transduction along the pars recta, the descending limb, and the thick ascending limb (TAL) of a short‐looped nephron. The model tubules are assumed to have compliant walls and, thus, a tubular radius that depends on the transmural pressure difference. Previously, it has been predicted that TGF transduction by the TAL is a generator of nonlinearities: if a sinusoidal oscillation is added to a constant TAL flow rate, then the time required for a fluid element to traverse the TAL is oscillatory in time but nonsinusoidal. The results from the new model simulations presented here predict that TGF transduction by the loop of Henle is also, in the same sense, a generator of nonlinearities. Thus, this model predicts that oscillations in tubular fluid alongside the macula densa will be nonsinusoidal and will exhibit harmonics of sinusoidal perturbations of pars recta flow. Model results also indicate that the loop acts as a low‐pass filter in the transduction of the TGF signal. Copyright © 2011 John Wiley & Sons, Ltd.
A mathematical model for signal transduction along a short loop of Henle of the rat kidney is used to study the transformation of fluctuations in filtration rate into tubular fluid chloride concentration oscillations along the macula densa. Model predicts that oscillations in tubular fluid alongside the macula densa will be nonsinusoidal and will exhibit harmonics of sinusoidal perturbations of pars recta flow, and that the loop acts as a low‐pass filter in the transduction of the tubuloglomerular feedback signal.</description><identifier>ISSN: 2040-7939</identifier><identifier>EISSN: 2040-7947</identifier><identifier>DOI: 10.1002/cnm.1475</identifier><identifier>PMID: 22577511</identifier><language>eng</language><publisher>Chichester, UK: John Wiley & Sons, Ltd</publisher><subject>biofluiddynamics ; Chlorides - metabolism ; Computer Simulation ; Feedback ; fluid-structure interactions ; Glomerular Filtration Rate - physiology ; kidney ; Kidney Glomerulus - metabolism ; Kidney Glomerulus - physiology ; Loop of Henle - metabolism ; Loop of Henle - physiology ; Models, Biological ; Models, Theoretical ; NaCl transport ; nonlinear dynamics ; Signal Transduction - physiology</subject><ispartof>International journal for numerical methods in biomedical engineering, 2012-03, Vol.28 (3), p.369-383</ispartof><rights>Copyright © 2011 John Wiley & Sons, Ltd.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c4485-c24e7c61974edd0e85f286f98531e5563070fabd629e80e08dfc1ed7d968308b3</citedby><cites>FETCH-LOGICAL-c4485-c24e7c61974edd0e85f286f98531e5563070fabd629e80e08dfc1ed7d968308b3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1002%2Fcnm.1475$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1002%2Fcnm.1475$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>230,314,776,780,881,1411,27901,27902,45550,45551</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/22577511$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Layton, Anita T.</creatorcontrib><creatorcontrib>Pham, Philip</creatorcontrib><creatorcontrib>Ryu, Hwayeon</creatorcontrib><title>Signal transduction in a compliant short loop of Henle</title><title>International journal for numerical methods in biomedical engineering</title><addtitle>Int. J. Numer. Meth. Biomed. Engng</addtitle><description>SUMMARY
To study the transformation of fluctuations in filtration rate into tubular fluid chloride concentration oscillations alongside the macula densa, we have developed a mathematical model for tubuloglomerular feedback (TGF) signal transduction along the pars recta, the descending limb, and the thick ascending limb (TAL) of a short‐looped nephron. The model tubules are assumed to have compliant walls and, thus, a tubular radius that depends on the transmural pressure difference. Previously, it has been predicted that TGF transduction by the TAL is a generator of nonlinearities: if a sinusoidal oscillation is added to a constant TAL flow rate, then the time required for a fluid element to traverse the TAL is oscillatory in time but nonsinusoidal. The results from the new model simulations presented here predict that TGF transduction by the loop of Henle is also, in the same sense, a generator of nonlinearities. Thus, this model predicts that oscillations in tubular fluid alongside the macula densa will be nonsinusoidal and will exhibit harmonics of sinusoidal perturbations of pars recta flow. Model results also indicate that the loop acts as a low‐pass filter in the transduction of the TGF signal. Copyright © 2011 John Wiley & Sons, Ltd.
A mathematical model for signal transduction along a short loop of Henle of the rat kidney is used to study the transformation of fluctuations in filtration rate into tubular fluid chloride concentration oscillations along the macula densa. Model predicts that oscillations in tubular fluid alongside the macula densa will be nonsinusoidal and will exhibit harmonics of sinusoidal perturbations of pars recta flow, and that the loop acts as a low‐pass filter in the transduction of the tubuloglomerular feedback signal.</description><subject>biofluiddynamics</subject><subject>Chlorides - metabolism</subject><subject>Computer Simulation</subject><subject>Feedback</subject><subject>fluid-structure interactions</subject><subject>Glomerular Filtration Rate - physiology</subject><subject>kidney</subject><subject>Kidney Glomerulus - metabolism</subject><subject>Kidney Glomerulus - physiology</subject><subject>Loop of Henle - metabolism</subject><subject>Loop of Henle - physiology</subject><subject>Models, Biological</subject><subject>Models, Theoretical</subject><subject>NaCl transport</subject><subject>nonlinear dynamics</subject><subject>Signal Transduction - physiology</subject><issn>2040-7939</issn><issn>2040-7947</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><sourceid>EIF</sourceid><recordid>eNp1kEtLxDAQx4MoKir4CaRHL9U8mia5CLL4YlcF37eQTacaTZO16fr49lZcVz04lxmYH78Z_ghtErxDMKa7NjQ7pBB8Aa1SXOBcqEIszmemVtBGSo-4L6qUEmwZrVDKheCErKLy0t0H47OuNSFVU9u5GDIXMpPZ2Ey8M6HL0kNsu8zHOMlinR1D8LCOlmrjE2zM-hq6Pjy4Ghzno_Ojk8H-KLdFIXluaQHClkSJAqoKg-Q1lWWtJGcEOC8ZFrg246qkCiQGLKvaEqhEpUrJsByzNbT35Z1Mxw1UFkL_qNeT1jWmfdfROP13E9yDvo8vmrGipBL3gu2ZoI3PU0idblyy4L0JEKdJE84lJ4IS9YPaNqbUQj0_Q7D-TFr3SevPpHt06_dbc_A71x7Iv4BX5-H9X5EenJ3OhDPepQ7e5rxpn3QpWA_enh3pG6wuhkN8pyn7AIlJlgY</recordid><startdate>201203</startdate><enddate>201203</enddate><creator>Layton, Anita T.</creator><creator>Pham, Philip</creator><creator>Ryu, Hwayeon</creator><general>John Wiley & Sons, Ltd</general><scope>BSCLL</scope><scope>CGR</scope><scope>CUY</scope><scope>CVF</scope><scope>ECM</scope><scope>EIF</scope><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7X8</scope><scope>5PM</scope></search><sort><creationdate>201203</creationdate><title>Signal transduction in a compliant short loop of Henle</title><author>Layton, Anita T. ; Pham, Philip ; Ryu, Hwayeon</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c4485-c24e7c61974edd0e85f286f98531e5563070fabd629e80e08dfc1ed7d968308b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2012</creationdate><topic>biofluiddynamics</topic><topic>Chlorides - metabolism</topic><topic>Computer Simulation</topic><topic>Feedback</topic><topic>fluid-structure interactions</topic><topic>Glomerular Filtration Rate - physiology</topic><topic>kidney</topic><topic>Kidney Glomerulus - metabolism</topic><topic>Kidney Glomerulus - physiology</topic><topic>Loop of Henle - metabolism</topic><topic>Loop of Henle - physiology</topic><topic>Models, Biological</topic><topic>Models, Theoretical</topic><topic>NaCl transport</topic><topic>nonlinear dynamics</topic><topic>Signal Transduction - physiology</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Layton, Anita T.</creatorcontrib><creatorcontrib>Pham, Philip</creatorcontrib><creatorcontrib>Ryu, Hwayeon</creatorcontrib><collection>Istex</collection><collection>Medline</collection><collection>MEDLINE</collection><collection>MEDLINE (Ovid)</collection><collection>MEDLINE</collection><collection>MEDLINE</collection><collection>PubMed</collection><collection>CrossRef</collection><collection>MEDLINE - Academic</collection><collection>PubMed Central (Full Participant titles)</collection><jtitle>International journal for numerical methods in biomedical engineering</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Layton, Anita T.</au><au>Pham, Philip</au><au>Ryu, Hwayeon</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Signal transduction in a compliant short loop of Henle</atitle><jtitle>International journal for numerical methods in biomedical engineering</jtitle><addtitle>Int. J. Numer. Meth. Biomed. Engng</addtitle><date>2012-03</date><risdate>2012</risdate><volume>28</volume><issue>3</issue><spage>369</spage><epage>383</epage><pages>369-383</pages><issn>2040-7939</issn><eissn>2040-7947</eissn><abstract>SUMMARY
To study the transformation of fluctuations in filtration rate into tubular fluid chloride concentration oscillations alongside the macula densa, we have developed a mathematical model for tubuloglomerular feedback (TGF) signal transduction along the pars recta, the descending limb, and the thick ascending limb (TAL) of a short‐looped nephron. The model tubules are assumed to have compliant walls and, thus, a tubular radius that depends on the transmural pressure difference. Previously, it has been predicted that TGF transduction by the TAL is a generator of nonlinearities: if a sinusoidal oscillation is added to a constant TAL flow rate, then the time required for a fluid element to traverse the TAL is oscillatory in time but nonsinusoidal. The results from the new model simulations presented here predict that TGF transduction by the loop of Henle is also, in the same sense, a generator of nonlinearities. Thus, this model predicts that oscillations in tubular fluid alongside the macula densa will be nonsinusoidal and will exhibit harmonics of sinusoidal perturbations of pars recta flow. Model results also indicate that the loop acts as a low‐pass filter in the transduction of the TGF signal. Copyright © 2011 John Wiley & Sons, Ltd.
A mathematical model for signal transduction along a short loop of Henle of the rat kidney is used to study the transformation of fluctuations in filtration rate into tubular fluid chloride concentration oscillations along the macula densa. Model predicts that oscillations in tubular fluid alongside the macula densa will be nonsinusoidal and will exhibit harmonics of sinusoidal perturbations of pars recta flow, and that the loop acts as a low‐pass filter in the transduction of the tubuloglomerular feedback signal.</abstract><cop>Chichester, UK</cop><pub>John Wiley & Sons, Ltd</pub><pmid>22577511</pmid><doi>10.1002/cnm.1475</doi><tpages>15</tpages><oa>free_for_read</oa></addata></record> |
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subjects | biofluiddynamics Chlorides - metabolism Computer Simulation Feedback fluid-structure interactions Glomerular Filtration Rate - physiology kidney Kidney Glomerulus - metabolism Kidney Glomerulus - physiology Loop of Henle - metabolism Loop of Henle - physiology Models, Biological Models, Theoretical NaCl transport nonlinear dynamics Signal Transduction - physiology |
title | Signal transduction in a compliant short loop of Henle |
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