Mira M Liu, Thomas Gladytz, Jonathan Dyke, Ian Bolger, Jonas Jasse, Sergio Calle, Tanner Crews, Surya Seshan, Steven Salvatore, Isaac Stillman, Thangamani Muthukumar, Bachir Taouli, Samira Farouk, Octavia Bane, Sara Lewis
{"title":"Estimation of Multi-Component Flow in the Kidney with Multi-b-value Spectral Diffusion.","authors":"Mira M Liu, Thomas Gladytz, Jonathan Dyke, Ian Bolger, Jonas Jasse, Sergio Calle, Tanner Crews, Surya Seshan, Steven Salvatore, Isaac Stillman, Thangamani Muthukumar, Bachir Taouli, Samira Farouk, Octavia Bane, Sara Lewis","doi":"","DOIUrl":null,"url":null,"abstract":"<p><strong>Purpose: </strong>Examine the theory and potential clinical application of estimated intravoxel 'flow' of separated perfusion, tubular flow, and diffusion from multi-b-value DWI in kidney allografts.</p><p><strong>Methods: </strong>Multi-b-value DWI (9 b-values; 0-800 s/mm<sup>2</sup>) from a kidney cortex is simulated with anisotropic and non-Gaussian (i.e. anomalous) vascular, tubular, and tissue components and analyzed with a Bayesian biexponential, least-squares triexponential, and spectral diffusion MRI. Comparison and application of biexponential, triexponential, and spectral diffusion <math><mrow><mi>f</mi> <mi>D</mi></mrow> </math> is demonstrated in a two-center study of 54 kidney allografts patients (21F/33M, 48.8±10.5years) and compared to fibrosis (Banff 2017 interstitial fibrosis and tubular atrophy score 0-6 from clinical biopsies of the renal cortex), impaired kidney function (CKD-EPI 2021 eGFR<45ml/min/1.73m<sup>2</sup>), and proteinuria.</p><p><strong>Results: </strong>Spectral diffusion <math><mrow><mi>f</mi> <mi>D</mi></mrow> </math> demonstrated strong correlation to input <math><mrow><mi>f</mi> <mi>D</mi></mrow> </math> of the simulated anisotropic and anomalous components. It agreed with both three-component diffusion <math> <mrow> <mfenced><mrow><mi>y</mi> <mo>=</mo> <mfenced><mrow><mn>1.10</mn> <mi>x</mi> <mo>-</mo> <mn>0.1</mn> <mo>,</mo> <msup><mi>R</mi> <mn>2</mn></msup> <mo>=</mo> <mn>0.74</mn></mrow> </mfenced> </mrow> </mfenced> </mrow> </math> and two-component diffusion <math> <mrow> <mfenced><mrow><mi>y</mi> <mo>=</mo> <mn>1.01</mn> <mo>+</mo> <mn>0.2</mn> <mo>,</mo> <msup><mi>R</mi> <mn>2</mn></msup> <mo>=</mo> <mn>0.88</mn></mrow> </mfenced> </mrow> </math> . <math><mrow><mi>f</mi> <mi>D</mi></mrow> </math> showed similar or improved agreement and correlation to input than individual parameters, and spectral diffusion showed similar or improved agreement than corresponding bi- and triexponential models. In kidney allografts, <math><mrow><mi>f</mi> <mi>D</mi></mrow> </math> from spectral diffusion showed that higher allograft fibrosis score had higher <math><mrow><mi>f</mi> <msub><mi>D</mi> <mrow><mi>t</mi> <mi>i</mi> <mi>s</mi> <mi>s</mi> <mi>u</mi> <mi>e</mi></mrow> </msub> </mrow> </math> (f-stat=3.86, p=0.02) and that impaired allograft function showed reduced <math><mrow><mi>f</mi> <msub><mi>D</mi> <mrow><mi>t</mi> <mi>u</mi> <mi>b</mi> <mi>u</mi> <mi>l</mi> <mi>e</mi></mrow> </msub> </mrow> </math> (Mann-Whitney U-test=-2.14, p=0.04). Across diagnostic groups of function and fibrosis, <math><mrow><mi>f</mi> <msub><mi>D</mi> <mrow><mi>v</mi> <mi>a</mi> <mi>s</mi> <mi>c</mi> <mi>u</mi> <mi>l</mi> <mi>a</mi> <mi>r</mi></mrow> </msub> </mrow> </math> negatively correlated with proteinuria <math> <mrow> <mfenced><mrow><mi>y</mi> <mo>=</mo> <mo>-</mo> <mn>348</mn> <mi>x</mi> <mo>+</mo> <mn>1144</mn> <mo>,</mo> <mi>p</mi> <mo>=</mo> <mn>0.035</mn> <mspace></mspace> <msup><mi>R</mi> <mn>2</mn></msup> <mo>=</mo> <mn>0.82</mn></mrow> </mfenced> </mrow> </math> .</p><p><strong>Conclusions: </strong>Spectral diffusion MRI with multi-Gaussian <math><mrow><mi>f</mi> <mi>D</mi></mrow> </math> as a flow proxy separated different anomalous and anisotropic diffusion components of perfusion, tubular flow, and tissue diffusion and may hold clinical value in diffusion MRI of kidney pathophysiology.</p>","PeriodicalId":93888,"journal":{"name":"ArXiv","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2025-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11343220/pdf/","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"ArXiv","FirstCategoryId":"1085","ListUrlMain":"","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Purpose: Examine the theory and potential clinical application of estimated intravoxel 'flow' of separated perfusion, tubular flow, and diffusion from multi-b-value DWI in kidney allografts.
Methods: Multi-b-value DWI (9 b-values; 0-800 s/mm2) from a kidney cortex is simulated with anisotropic and non-Gaussian (i.e. anomalous) vascular, tubular, and tissue components and analyzed with a Bayesian biexponential, least-squares triexponential, and spectral diffusion MRI. Comparison and application of biexponential, triexponential, and spectral diffusion is demonstrated in a two-center study of 54 kidney allografts patients (21F/33M, 48.8±10.5years) and compared to fibrosis (Banff 2017 interstitial fibrosis and tubular atrophy score 0-6 from clinical biopsies of the renal cortex), impaired kidney function (CKD-EPI 2021 eGFR<45ml/min/1.73m2), and proteinuria.
Results: Spectral diffusion demonstrated strong correlation to input of the simulated anisotropic and anomalous components. It agreed with both three-component diffusion and two-component diffusion . showed similar or improved agreement and correlation to input than individual parameters, and spectral diffusion showed similar or improved agreement than corresponding bi- and triexponential models. In kidney allografts, from spectral diffusion showed that higher allograft fibrosis score had higher (f-stat=3.86, p=0.02) and that impaired allograft function showed reduced (Mann-Whitney U-test=-2.14, p=0.04). Across diagnostic groups of function and fibrosis, negatively correlated with proteinuria .
Conclusions: Spectral diffusion MRI with multi-Gaussian as a flow proxy separated different anomalous and anisotropic diffusion components of perfusion, tubular flow, and tissue diffusion and may hold clinical value in diffusion MRI of kidney pathophysiology.