The mastoid as a functional rate-limiter of middle ear pressure change

Summary Introduction The physiological function of the mastoid air cell system (MACS) with respect to middle ear (ME) pressure-regulation remains controversial because predictive mathematical models and experimental data to formulate and test hypotheses are lacking. Objective A mathematical descript...

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Veröffentlicht in:International journal of pediatric otorhinolaryngology 2007-03, Vol.71 (3), p.393-402
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container_title International journal of pediatric otorhinolaryngology
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creator Doyle, William J
description Summary Introduction The physiological function of the mastoid air cell system (MACS) with respect to middle ear (ME) pressure-regulation remains controversial because predictive mathematical models and experimental data to formulate and test hypotheses are lacking. Objective A mathematical description of MACS volume effects on the rate of ME pressure change is presented; the agreement between published data and model prediction is examined for consistency with the hypothesis that the MACS acts as a functional rate-limiter of ME pressure change, and an explanation for the relationship between MACS volume and otitis media is discussed. Methods The mathematical description shows that the value of a single, free parameter, termed the “MACS buffering efficiency” ( M ) determines if MACS volume affects the rate of ME pressure change caused by diffusive gas exchange. The MACS serves no rate-limiting function for M = 0, acts as a gas sink for M > 1 and acts as a gas reserve (rate-limiter) for M < 1. Results Fitting the model equation to published adult human data yielded an estimate for M of 0.2. This implies that larger MACS volumes are associated with lesser rates of change in ME pressure caused by diffusive gas exchange and lesser required frequencies of effective Eustachian tube openings to maintain near ambient ME pressures. Conclusion If well-controlled studies confirm M < 1 for children and adults, larger MACS volumes will increase the time required to develop sufficient ME underpressures to cause otitis media by hydrops ex vacuo during transient or prolonged periods of Eustachian tube dysfunction.
doi_str_mv 10.1016/j.ijporl.2006.11.004
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Objective A mathematical description of MACS volume effects on the rate of ME pressure change is presented; the agreement between published data and model prediction is examined for consistency with the hypothesis that the MACS acts as a functional rate-limiter of ME pressure change, and an explanation for the relationship between MACS volume and otitis media is discussed. Methods The mathematical description shows that the value of a single, free parameter, termed the “MACS buffering efficiency” ( M ) determines if MACS volume affects the rate of ME pressure change caused by diffusive gas exchange. The MACS serves no rate-limiting function for M = 0, acts as a gas sink for M &gt; 1 and acts as a gas reserve (rate-limiter) for M &lt; 1. Results Fitting the model equation to published adult human data yielded an estimate for M of 0.2. This implies that larger MACS volumes are associated with lesser rates of change in ME pressure caused by diffusive gas exchange and lesser required frequencies of effective Eustachian tube openings to maintain near ambient ME pressures. Conclusion If well-controlled studies confirm M &lt; 1 for children and adults, larger MACS volumes will increase the time required to develop sufficient ME underpressures to cause otitis media by hydrops ex vacuo during transient or prolonged periods of Eustachian tube dysfunction.</description><identifier>ISSN: 0165-5876</identifier><identifier>EISSN: 1872-8464</identifier><identifier>DOI: 10.1016/j.ijporl.2006.11.004</identifier><identifier>PMID: 17174408</identifier><language>eng</language><publisher>Ireland: Elsevier Ireland Ltd</publisher><subject>Ear, Middle - physiology ; Eustachian Tube - surgery ; Humans ; Mastoid - physiology ; Mastoid volume ; Mathematical modeling ; Middle ear pressure-buffering ; Models, Biological ; Models, Theoretical ; Otolaryngology ; Otologic Surgical Procedures - statistics &amp; numerical data ; Pediatrics ; Pressure ; Rate-limiting function</subject><ispartof>International journal of pediatric otorhinolaryngology, 2007-03, Vol.71 (3), p.393-402</ispartof><rights>Elsevier Ireland Ltd</rights><rights>2006 Elsevier Ireland Ltd</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c582t-13cf0640f15e6af8ef8074b190499ab83dbe8c7e186147e6cd1c01d2165e35693</citedby><cites>FETCH-LOGICAL-c582t-13cf0640f15e6af8ef8074b190499ab83dbe8c7e186147e6cd1c01d2165e35693</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S0165587606004721$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>230,314,776,780,881,3537,27901,27902,65306</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/17174408$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Doyle, William J</creatorcontrib><title>The mastoid as a functional rate-limiter of middle ear pressure change</title><title>International journal of pediatric otorhinolaryngology</title><addtitle>Int J Pediatr Otorhinolaryngol</addtitle><description>Summary Introduction The physiological function of the mastoid air cell system (MACS) with respect to middle ear (ME) pressure-regulation remains controversial because predictive mathematical models and experimental data to formulate and test hypotheses are lacking. Objective A mathematical description of MACS volume effects on the rate of ME pressure change is presented; the agreement between published data and model prediction is examined for consistency with the hypothesis that the MACS acts as a functional rate-limiter of ME pressure change, and an explanation for the relationship between MACS volume and otitis media is discussed. Methods The mathematical description shows that the value of a single, free parameter, termed the “MACS buffering efficiency” ( M ) determines if MACS volume affects the rate of ME pressure change caused by diffusive gas exchange. The MACS serves no rate-limiting function for M = 0, acts as a gas sink for M &gt; 1 and acts as a gas reserve (rate-limiter) for M &lt; 1. Results Fitting the model equation to published adult human data yielded an estimate for M of 0.2. This implies that larger MACS volumes are associated with lesser rates of change in ME pressure caused by diffusive gas exchange and lesser required frequencies of effective Eustachian tube openings to maintain near ambient ME pressures. 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Objective A mathematical description of MACS volume effects on the rate of ME pressure change is presented; the agreement between published data and model prediction is examined for consistency with the hypothesis that the MACS acts as a functional rate-limiter of ME pressure change, and an explanation for the relationship between MACS volume and otitis media is discussed. Methods The mathematical description shows that the value of a single, free parameter, termed the “MACS buffering efficiency” ( M ) determines if MACS volume affects the rate of ME pressure change caused by diffusive gas exchange. The MACS serves no rate-limiting function for M = 0, acts as a gas sink for M &gt; 1 and acts as a gas reserve (rate-limiter) for M &lt; 1. Results Fitting the model equation to published adult human data yielded an estimate for M of 0.2. 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source MEDLINE; Elsevier ScienceDirect Journals
subjects Ear, Middle - physiology
Eustachian Tube - surgery
Humans
Mastoid - physiology
Mastoid volume
Mathematical modeling
Middle ear pressure-buffering
Models, Biological
Models, Theoretical
Otolaryngology
Otologic Surgical Procedures - statistics & numerical data
Pediatrics
Pressure
Rate-limiting function
title The mastoid as a functional rate-limiter of middle ear pressure change
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