Objective <p>The lung magnetic resonance longitudinal relaxation rate <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10334_2025_1259_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="20" /> </InlineMediaObject> <EquationSource Format="TEX">\({R}_{1}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>R</mi> <mn>1</mn> </msub> </math></EquationSource> </InlineEquation> varies with disease but reported values in healthy subjects (HS) also differ markedly between studies.</p> Objective <p>To evaluate the reported values and variances of observed <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10334_2025_1259_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="20" /> </InlineMediaObject> <EquationSource Format="TEX">\({R}_{1}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>R</mi> <mn>1</mn> </msub> </math></EquationSource> </InlineEquation> accounting for field strength <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10334_2025_1259_Article_IEq4.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="20" /> </InlineMediaObject> <EquationSource Format="TEX">\({B}_{0}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>B</mi> <mn>0</mn> </msub> </math></EquationSource> </InlineEquation>, acquisition method, and disease.</p> Materials and methods <p>A systematic literature search was performed to identify studies quantifying <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10334_2025_1259_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="20" /> </InlineMediaObject> <EquationSource Format="TEX">\({R}_{1}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>R</mi> <mn>1</mn> </msub> </math></EquationSource> </InlineEquation> or its reciprocal <InlineEquation ID="IEq6"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10334_2025_1259_Article_IEq6.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="17" /> </InlineMediaObject> <EquationSource Format="TEX">\({T}_{1}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>T</mi> <mn>1</mn> </msub> </math></EquationSource> </InlineEquation>. The relationship between field strength and observed <i>R</i><sub>1</sub> was analysed in all healthy subject data. Data were fit to the heuristic equation <InlineEquation ID="IEq7"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10334_2025_1259_Article_IEq7.gif" Format="GIF" Height="23" Rendition="HTML" Resolution="72" Type="Linedraw" Width="108" /> </InlineMediaObject> <EquationSource Format="TEX">\({R}_{1}=B* {(B}_{0 }^A)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>R</mi> <mn>1</mn> </msub> <mo>=</mo> <mi>B</mi> <mrow /> <mo>∗</mo> <msubsup> <mrow> <mo stretchy="false">(</mo> <mi>B</mi> </mrow> <mrow> <mn>0</mn> </mrow> <mi>A</mi> </msubsup> <mrow> <mo stretchy="false">)</mo> </mrow> </mrow> </math></EquationSource> </InlineEquation>. The variances between-study <InlineEquation ID="IEq8"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10334_2025_1259_Article_IEq8.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(bs\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi mathvariant="italic">bs</mi> </mrow> </math></EquationSource> </InlineEquation>, within-study-between-subject <InlineEquation ID="IEq9"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10334_2025_1259_Article_IEq9.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="39" /> </InlineMediaObject> <EquationSource Format="TEX">\(wsbs\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi mathvariant="italic">wsbs</mi> </mrow> </math></EquationSource> </InlineEquation>, and within-study-within-subject <InlineEquation ID="IEq10"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10334_2025_1259_Article_IEq10.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="44" /> </InlineMediaObject> <EquationSource Format="TEX">\(wsws\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi mathvariant="italic">wsws</mi> </mrow> </math></EquationSource> </InlineEquation>, in HS were assessed. Linear correlation between observed <i>R</i><sub>1</sub> and TE was also investigated.</p> Results <p>Fifty-nine papers were selected, 50 quantifying <i>R</i><sub>1</sub> in HS and 20 in disease, representing 1559 human and non-human subjects, with <InlineEquation ID="IEq11"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10334_2025_1259_Article_IEq4.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="20" /> </InlineMediaObject> <EquationSource Format="TEX">\({B}_{0}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>B</mi> <mn>0</mn> </msub> </math></EquationSource> </InlineEquation> ranging from 0.2&#xa0;T to 9.4&#xa0;T. In HS, the result of the fit on all healthy subjects was A = -0.227 ± 0.020&#xa0;s<sup>−1</sup>&#xa0;T<sup>−1</sup>, B = 0.923 ± 0.014&#xa0;s<sup>−1</sup> with variance components <InlineEquation ID="IEq12"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10334_2025_1259_Article_IEq12.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="141" /> </InlineMediaObject> <EquationSource Format="TEX">\(bs&gt;wsbs&gt;wsws\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>b</mi> <mi>s</mi> <mo>&gt;</mo> <mi>w</mi> <mi>s</mi> <mi>b</mi> <mi>s</mi> <mo>&gt;</mo> <mi>w</mi> <mi>s</mi> <mi>w</mi> <mi>s</mi> </mrow> </math></EquationSource> </InlineEquation>. The reference values for <i>R</i><sub>1</sub> at <InlineEquation ID="IEq13"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10334_2025_1259_Article_IEq4.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="20" /> </InlineMediaObject> <EquationSource Format="TEX">\({B}_{0}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>B</mi> <mn>0</mn> </msub> </math></EquationSource> </InlineEquation> between 0.55&#xa0;T and 7&#xa0;T were derived. For inversion recovery with gradient echo readout at 1.5&#xa0;T, a previously observed negative relationship between <InlineEquation ID="IEq14"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10334_2025_1259_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="20" /> </InlineMediaObject> <EquationSource Format="TEX">\({R}_{1}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>R</mi> <mn>1</mn> </msub> </math></EquationSource> </InlineEquation> and TE was confirmed.</p> Discussion <p>We provide reference values for lung <InlineEquation ID="IEq15"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10334_2025_1259_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="20" /> </InlineMediaObject> <EquationSource Format="TEX">\({R}_{1}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>R</mi> <mn>1</mn> </msub> </math></EquationSource> </InlineEquation> across all commonly used field strengths. The variation in HS lung observed <InlineEquation ID="IEq16"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10334_2025_1259_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="20" /> </InlineMediaObject> <EquationSource Format="TEX">\({R}_{1}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>R</mi> <mn>1</mn> </msub> </math></EquationSource> </InlineEquation> reported in different studies in different centres likely reflects methodological differences. Investigators wishing to compare lung <InlineEquation ID="IEq17"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10334_2025_1259_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="20" /> </InlineMediaObject> <EquationSource Format="TEX">\({R}_{1}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>R</mi> <mn>1</mn> </msub> </math></EquationSource> </InlineEquation> values with previous reports should take account of this irreproducibility, and multicentre projects should standardise to minimise between-centre variance.</p>

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Longitudinal relaxation rate (\({R}_{1}\)) in lung: a systematic review and meta-analysis

  • Lucy Edwards,
  • Geoff J. M. Parker,
  • John C. Waterton,
  • Marta Tibiletti

摘要

Objective

The lung magnetic resonance longitudinal relaxation rate \({R}_{1}\) R 1 varies with disease but reported values in healthy subjects (HS) also differ markedly between studies.

Objective

To evaluate the reported values and variances of observed \({R}_{1}\) R 1 accounting for field strength \({B}_{0}\) B 0 , acquisition method, and disease.

Materials and methods

A systematic literature search was performed to identify studies quantifying \({R}_{1}\) R 1 or its reciprocal \({T}_{1}\) T 1 . The relationship between field strength and observed R1 was analysed in all healthy subject data. Data were fit to the heuristic equation \({R}_{1}=B* {(B}_{0 }^A)\) R 1 = B ( B 0 A ) . The variances between-study \(bs\) bs , within-study-between-subject \(wsbs\) wsbs , and within-study-within-subject \(wsws\) wsws , in HS were assessed. Linear correlation between observed R1 and TE was also investigated.

Results

Fifty-nine papers were selected, 50 quantifying R1 in HS and 20 in disease, representing 1559 human and non-human subjects, with \({B}_{0}\) B 0 ranging from 0.2 T to 9.4 T. In HS, the result of the fit on all healthy subjects was A = -0.227 ± 0.020 s−1 T−1, B = 0.923 ± 0.014 s−1 with variance components \(bs>wsbs>wsws\) b s > w s b s > w s w s . The reference values for R1 at \({B}_{0}\) B 0 between 0.55 T and 7 T were derived. For inversion recovery with gradient echo readout at 1.5 T, a previously observed negative relationship between \({R}_{1}\) R 1 and TE was confirmed.

Discussion

We provide reference values for lung \({R}_{1}\) R 1 across all commonly used field strengths. The variation in HS lung observed \({R}_{1}\) R 1 reported in different studies in different centres likely reflects methodological differences. Investigators wishing to compare lung \({R}_{1}\) R 1 values with previous reports should take account of this irreproducibility, and multicentre projects should standardise to minimise between-centre variance.