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
Hauptverfasser: Layton, Anita T., Pham, Philip, Ryu, Hwayeon
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container_title International journal for numerical methods in biomedical engineering
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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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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 &amp; 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. 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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 &amp; 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 &amp; 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 &amp; 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. 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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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