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Reson."},{"issue":"4","key":"10.1016\/j.jmr.2026.108118_b75","doi-asserted-by":"crossref","first-page":"181","DOI":"10.1002\/(SICI)1099-0534(1999)11:4<181::AID-CMR1>3.0.CO;2-T","article-title":"Spatial coherence phenomena arising from translational spin motion in gradient spin echo experiments","volume":"11","author":"Callaghan","year":"1999","journal-title":"Concepts Magn. Reson."},{"issue":"17","key":"10.1016\/j.jmr.2026.108118_b76","doi-asserted-by":"crossref","first-page":"7761","DOI":"10.1021\/ja00070a022","article-title":"Two-dimensional inverse Laplace transform NMR: altered relaxation times allow detection of exchange correlation","volume":"115","author":"Lee","year":"1993","journal-title":"J. Am. Chem. Soc."},{"issue":"17","key":"10.1016\/j.jmr.2026.108118_b77","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevLett.97.175502","article-title":"Tracking pore to pore exchange using relaxation exchange spectroscopy","volume":"97","author":"Washburn","year":"2006","journal-title":"Phys. Rev. Lett."},{"issue":"8","key":"10.1016\/j.jmr.2026.108118_b78","doi-asserted-by":"crossref","DOI":"10.1063\/5.0188865","article-title":"Limitations and generalizations of the first order kinetics reaction expression for modeling diffusion-driven exchange: Implications on NMR exchange measurements","volume":"160","author":"Ordinola","year":"2024","journal-title":"J. Chem. Phys."},{"key":"10.1016\/j.jmr.2026.108118_b79","unstructured":"H.-H. Lee, N. Wang, E. Fieremans, S.Y. Huang, D.S. Novikov, Localization Regime of Diffusion (LoRD) in mouse and pig cortical gray matter and its sensitivity to soma size, in: Proceedings of the 31st Annual Meeting of the International Society of Magnetic Resonance in Medicine, ISMRM, Toronto, Canada, 2023, p. 0681."},{"issue":"4","key":"10.1016\/j.jmr.2026.108118_b80","doi-asserted-by":"crossref","first-page":"1","DOI":"10.2307\/2313748","article-title":"Can one hear the shape of a drum?","volume":"73","author":"Kac","year":"1966","journal-title":"Am. Math. Mon."},{"issue":"4","key":"10.1016\/j.jmr.2026.108118_b81","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevLett.107.048102","article-title":"Determination of the defining boundary in nuclear magnetic resonance diffusion experiments","volume":"107","author":"Laun","year":"2011","journal-title":"Phys. Rev. Lett."},{"issue":"18","key":"10.1016\/j.jmr.2026.108118_b82","doi-asserted-by":"crossref","first-page":"3878","DOI":"10.1103\/PhysRevLett.85.3878","article-title":"Detection of the high eigenmodes of spin diffusion in porous media","volume":"85","author":"Song","year":"2000","journal-title":"Phys. Rev. Lett."},{"issue":"1","key":"10.1016\/j.jmr.2026.108118_b83","doi-asserted-by":"crossref","first-page":"118","DOI":"10.1006\/jmra.1995.9959","article-title":"Frequency-domain analysis of spin motion using modulated-gradient NMR","volume":"117","author":"Callaghan","year":"1995","journal-title":"J. Magn. Reson. A"},{"issue":"1","key":"10.1016\/j.jmr.2026.108118_b84","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1002\/mrm.20732","article-title":"Temporal diffusion spectroscopy: Theory and implementation in restricted systems using oscillating gradients","volume":"55","author":"Parsons","year":"2005","journal-title":"Magn. Reson. Med."},{"key":"10.1016\/j.jmr.2026.108118_b85","doi-asserted-by":"crossref","DOI":"10.1016\/j.jmr.2020.106836","article-title":"The localization regime in a nutshell","volume":"320","author":"Moutal","year":"2020","journal-title":"J. Magn. Reson."},{"issue":"1","key":"10.1016\/j.jmr.2026.108118_b86","doi-asserted-by":"crossref","first-page":"622","DOI":"10.1137\/16M1088387","article-title":"On spectral properties of the Bloch\u2013torrey operator in two dimensions","volume":"50","author":"Grebenkov","year":"2018","journal-title":"SIAM J. Math. Anal."},{"issue":"12","key":"10.1016\/j.jmr.2026.108118_b87","doi-asserted-by":"crossref","first-page":"1542","DOI":"10.1080\/03605302.2019.1646281","article-title":"On a Schr\u00f6dinger operator with a purely imaginary potential in the semiclassical limit","volume":"44","author":"Almog","year":"2019","journal-title":"Comm. Partial Differential Equations"},{"issue":"1","key":"10.1016\/j.jmr.2026.108118_b88","doi-asserted-by":"crossref","first-page":"601","DOI":"10.1103\/PhysRevB.51.601","article-title":"Debye-porod law of diffraction for diffusion in porous media","volume":"51","author":"Sen","year":"1995","journal-title":"Phys. Rev. B"},{"issue":"3","key":"10.1016\/j.jmr.2026.108118_b89","doi-asserted-by":"crossref","first-page":"232","DOI":"10.1016\/j.mrl.2023.05.003","article-title":"On the sampling strategies and models for measuring diffusion exchange with a double diffusion encoding sequence","volume":"3","author":"Ordinola","year":"2023","journal-title":"Magn. Reson. Lett."},{"key":"10.1016\/j.jmr.2026.108118_b90","series-title":"InviteComputational Inverse Problems in Electrocardiology","first-page":"119","article-title":"The L-curve and its use in the numerical treatment of inverse problems","author":"Hansen","year":"2000"},{"key":"10.1016\/j.jmr.2026.108118_b91","doi-asserted-by":"crossref","first-page":"164","DOI":"10.1016\/j.jmr.2016.02.001","article-title":"The robust identification of exchange from T2\u2013T2 time-domain features","volume":"265","author":"Song","year":"2016","journal-title":"J. Magn. 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