{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,19]],"date-time":"2026-08-19T20:09:47Z","timestamp":1787170187684,"version":"build-2736575974"},"reference-count":43,"publisher":"Wiley","issue":"5","license":[{"start":{"date-parts":[[2026,4,6]],"date-time":"2026-04-06T00:00:00Z","timestamp":1775433600000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0\/"},{"start":{"date-parts":[[2026,4,6]],"date-time":"2026-04-06T00:00:00Z","timestamp":1775433600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/doi.wiley.com\/10.1002\/tdm_license_1.1"}],"funder":[{"DOI":"10.13039\/100000002","name":"National Institutes of Health","doi-asserted-by":"publisher","award":["R01AG054159"],"award-info":[{"award-number":["R01AG054159"]}],"id":[{"id":"10.13039\/100000002","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000002","name":"National Institutes of Health","doi-asserted-by":"publisher","award":["R01AG057602"],"award-info":[{"award-number":["R01AG057602"]}],"id":[{"id":"10.13039\/100000002","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["analyticalsciencejournals.onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["NMR in Biomedicine"],"published-print":{"date-parts":[[2026,5]]},"abstract":"<jats:title>ABSTRACT<\/jats:title>\n                  <jats:p>Intercompartmental water exchange in brain and other biological tissue can be probed in\u00a0vivo with diffusion MRI (dMRI). We assess the accuracy of a recently proposed method for estimating a mean exchange rate by performing Monte Carlo simulations of random walkers through a packing of permeable, randomly placed, parallel cylinders to model water exchange within axonal fiber bundles. The diffusivity and kurtosis of the full system are calculated for a broad range of diffusion times and model parameters. The mean exchange rate is estimated from the logarithmic derivative of the kurtosis with respect to the diffusion time and compared with the exchange rate predicted by the K\u00e4rger model (KM), which is exact in certain limits. The mean exchange rate is also compared with the reciprocal exchange time obtained by conventional fitting of the kurtosis time dependence to a two\u2010compartment KM, with a high correlation being found between the two quantities. The estimates from the logarithmic derivative are in good agreement with the KM predictions when the exchange time is long in comparison to the compartment traversal times, which corresponds to barrier\u2010limited exchange. Compared to the standard procedure of fitting the kurtosis to the KM over a broad range of diffusion times, using the logarithmic derivative reduces the data acquisition burden by only requiring a narrow range of times and increases generality in that number of compartments need not be specified. This method may be useful for estimating the mean exchange rate from the kurtosis time dependence measured with dMRI.<\/jats:p>","DOI":"10.1002\/nbm.70281","type":"journal-article","created":{"date-parts":[[2026,4,6]],"date-time":"2026-04-06T08:37:01Z","timestamp":1775464621000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Monte Carlo Assessment of Accuracy for Mean K\u00e4rger Model Water Exchange Rate Estimates From Diffusional Kurtosis Time Dependence"],"prefix":"10.1002","volume":"39","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3219-4287","authenticated-orcid":false,"given":"Jens\u00a0H.","family":"Jensen","sequence":"first","affiliation":[{"name":"Center for Biomedical Imaging Medical University of South Carolina  Charleston South Carolina USA"},{"name":"Department of Neuroscience Medical University of South Carolina  Charleston South Carolina USA"},{"name":"Department of Radiology and Radiological Science Medical University of South Carolina  Charleston South Carolina USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ricardo","family":"Coronado\u2010Leija","sequence":"additional","affiliation":[{"name":"Department of Radiology New York University School of Medicine  New York New York USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1384-8591","authenticated-orcid":false,"given":"Els","family":"Fieremans","sequence":"additional","affiliation":[{"name":"Department of Radiology New York University School of Medicine  New York New York USA"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"311","published-online":{"date-parts":[[2026,4,6]]},"reference":[{"key":"e_1_2_11_2_1","doi-asserted-by":"publisher","DOI":"10.1016\/0001\u20108686(85)80018\u2010X"},{"key":"e_1_2_11_3_1","first-page":"1","volume-title":"Advances in Magnetic and Optical Resonance","author":"K\u00e4rger J.","year":"1988"},{"key":"e_1_2_11_4_1","doi-asserted-by":"publisher","DOI":"10.1002\/nbm.3998"},{"key":"e_1_2_11_5_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00249\u2010005\u20100459\u2010y"},{"key":"e_1_2_11_6_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmr.2011.03.012"},{"key":"e_1_2_11_7_1","doi-asserted-by":"publisher","DOI":"10.1002\/mrm.29926"},{"key":"e_1_2_11_8_1","doi-asserted-by":"publisher","DOI":"10.1162\/imag_a_00335"},{"key":"e_1_2_11_9_1","doi-asserted-by":"publisher","DOI":"10.1002\/mrm.30608"},{"key":"e_1_2_11_10_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.neuroimage.2020.117054"},{"key":"e_1_2_11_11_1","doi-asserted-by":"publisher","DOI":"10.1002\/nbm.4496"},{"key":"e_1_2_11_12_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.neuroimage.2022.119277"},{"key":"e_1_2_11_13_1","doi-asserted-by":"publisher","DOI":"10.1002\/mrm.29457"},{"key":"e_1_2_11_14_1","doi-asserted-by":"publisher","DOI":"10.1002\/mrm.29536"},{"key":"e_1_2_11_15_1","doi-asserted-by":"publisher","DOI":"10.1162\/imag_a_00123"},{"key":"e_1_2_11_16_1","doi-asserted-by":"publisher","DOI":"10.1126\/sciadv.adk1817"},{"key":"e_1_2_11_17_1","doi-asserted-by":"publisher","DOI":"10.1631\/jzus.A2400139"},{"key":"e_1_2_11_18_1","doi-asserted-by":"publisher","DOI":"10.1002\/nbm.70096"},{"key":"e_1_2_11_19_1","doi-asserted-by":"publisher","DOI":"10.1002\/nbm.1577"},{"key":"e_1_2_11_20_1","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.1316944111"},{"key":"e_1_2_11_21_1","article-title":"Exchange Between Structurally\u2010Disordered Compartments","volume":"31","author":"Novikov D. 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