Exploring diffusion across permeable barriers at high gradients. I. Narrow pulse approximation.

[1]  Denis S Grebenkov,et al.  Exploring diffusion across permeable barriers at high gradients. II. Localization regime. , 2014, Journal of magnetic resonance.

[2]  S. Heiland,et al.  Imaging cell size and permeability in biological tissue using the diffusion-time dependence of the apparent diffusion coefficient , 2014, Physics in medicine and biology.

[3]  Houssem Haddar,et al.  A Macroscopic Model Including Membrane Exchange for Diffusion MRI , 2014, SIAM J. Appl. Math..

[4]  Els Fieremans,et al.  Revealing mesoscopic structural universality with diffusion , 2014, Proceedings of the National Academy of Sciences.

[5]  D. Bihan,et al.  A finite elements method to solve the Bloch-Torrey equation applied to diffusion magnetic resonance imaging , 2014, J. Comput. Phys..

[6]  Nirbhay N. Yadav,et al.  Numerical analysis of NMR diffusion measurements in the short gradient pulse limit. , 2013, Journal of magnetic resonance.

[7]  Denis S. Grebenkov,et al.  Geometrical Structure of Laplacian Eigenfunctions , 2012, SIAM Rev..

[8]  Heidi Johansen-Berg,et al.  Diffusion MRI at 25: Exploring brain tissue structure and function , 2012, NeuroImage.

[9]  Denis S Grebenkov,et al.  Pulsed-gradient spin-echo monitoring of restricted diffusion in multilayered structures. , 2010, Journal of magnetic resonance.

[10]  J. Helpern,et al.  Monte Carlo study of a two‐compartment exchange model of diffusion , 2010, NMR in biomedicine.

[11]  Joseph A. Helpern,et al.  Random walk with barriers , 2010, Nature physics.

[12]  Greg J. Stanisz,et al.  Diffusion MR in Biological Systems: Tissue Compartments and Exchange , 2010 .

[13]  M. Nilsson,et al.  Filter-exchange PGSE NMR determination of cell membrane permeability. , 2009, Journal of magnetic resonance.

[14]  Denis S. Grebenkov,et al.  Laplacian eigenfunctions in NMR. II. Theoretical advances , 2009 .

[15]  William S. Price,et al.  NMR Studies of Translational Motion: Principles and Applications , 2009 .

[16]  F. Ståhlberg,et al.  On the effects of a varied diffusion time in vivo: is the diffusion in white matter restricted? , 2009, Magnetic resonance imaging.

[17]  Denis S. Grebenkov,et al.  Laplacian Eigenfunctions in NMR. I. A Numerical Tool , 2008 .

[18]  S. Ueno,et al.  Estimation of cell membrane permeability of the rat brain using diffusion magnetic resonance imaging , 2008 .

[19]  Denis S. Grebenkov,et al.  NMR survey of reflected brownian motion , 2007 .

[20]  John C Gore,et al.  Numerical study of water diffusion in biological tissues using an improved finite difference method , 2007, Physics in medicine and biology.

[21]  Henk Van As,et al.  Intact plant MRI for the study of cell water relations, membrane permeability, cell-to-cell and long distance water transport. , 2006, Journal of experimental botany.

[22]  Valerij G Kiselev,et al.  Effect of impermeable boundaries on diffusion-attenuated MR signal. , 2006, Journal of magnetic resonance.

[23]  Stephan E Maier,et al.  Biexponential parameterization of diffusion and T2 relaxation decay curves in a rat muscle edema model: Decay curve components and water compartments , 2005, Magnetic resonance in medicine.

[24]  A. Sukstanskii,et al.  Effects of permeable boundaries on the diffusion-attenuated MR signal: insights from a one-dimensional model. , 2004, Journal of magnetic resonance.

[25]  J. Baudewig,et al.  Advances in functional MRI of the human brain , 2004 .

[26]  Z. Berente,et al.  The existence of biexponential signal decay in magnetic resonance diffusion‐weighted imaging appears to be independent of compartmentalization , 2004, Magnetic resonance in medicine.

[27]  V. Wedeen,et al.  Diffusion MRI of Complex Neural Architecture , 2003, Neuron.

[28]  J. Ackerman,et al.  Effects of barrier‐induced nuclear spin magnetization inhomogeneities on diffusion‐attenuated MR signal , 2003, Magnetic resonance in medicine.

[29]  Charles S Springer,et al.  Equilibrium water exchange between the intra‐ and extracellular spaces of mammalian brain , 2003, Magnetic resonance in medicine.

[30]  Wolfgang Dreher,et al.  Diffusion in compartmental systems. II. Diffusion‐weighted measurements of rat brain tissue in vivo and postmortem at very large b‐values , 2003, Magnetic resonance in medicine.

[31]  Wolfgang Dreher,et al.  Diffusion in compartmental systems. I. A comparison of an analytical model with simulations , 2003, Magnetic resonance in medicine.

[32]  Scott N. Hwang,et al.  An image‐based finite difference model for simulating restricted diffusion , 2003, Magnetic resonance in medicine.

[33]  Denis Le Bihan,et al.  Looking into the functional architecture of the brain with diffusion MRI , 2003, Nature Reviews Neuroscience.

[34]  C. Springer,et al.  Effects of equilibrium exchange on diffusion‐weighted NMR signals: The diffusigraphic “shutter‐speed” , 2003, Magnetic resonance in medicine.

[35]  J. Neil,et al.  Importance of intracellular water apparent diffusion to the measurement of membrane permeability. , 2002, Biophysical journal.

[36]  M. Larocca,et al.  Hepatocyte membrane water permeability measured by silicone layer filtering centrifugation. , 2002, Analytical biochemistry.

[37]  Scott N. Hwang,et al.  Biexponential diffusion attenuation in the rat spinal cord: Computer simulations based on anatomic images of axonal architecture , 2002, Magnetic resonance in medicine.

[38]  R. Brooks,et al.  On T2‐shortening by weakly magnetized particles: The chemical exchange model † , 2001, Magnetic resonance in medicine.

[39]  Scott Axelrod,et al.  Nuclear magnetic resonance spin echoes for restricted diffusion in an inhomogeneous field: Methods and asymptotic regimes , 2001 .

[40]  D. Norris The effects of microscopic tissue parameters on the diffusion weighted magnetic resonance imaging experiment , 2001, NMR in biomedicine.

[41]  D. Le Bihan,et al.  Water diffusion compartmentation and anisotropy at high b values in the human brain , 2000, Magnetic resonance in medicine.

[42]  Xin Li,et al.  Equilibrium transcytolemmal water‐exchange kinetics in skeletal muscle in vivo , 1999, Magnetic resonance in medicine.

[43]  A. Barzykin,et al.  Theory of spin echo in restricted geometries under a step-wise gradient pulse sequence. , 1999, Journal of magnetic resonance.

[44]  P W Kuchel,et al.  Permeability coefficients from NMR q-space data: models with unevenly spaced semi-permeable parallel membranes. , 1999, Journal of magnetic resonance.

[45]  C. Westin,et al.  Multi‐component apparent diffusion coefficients in human brain † , 1999, NMR in biomedicine.

[46]  A. Barzykin EXACT SOLUTION OF THE TORREY-BLOCH EQUATION FOR A SPIN ECHO IN RESTRICTED GEOMETRIES , 1998 .

[47]  D. van Dusschoten,et al.  Modeling of self-diffusion and relaxation time NMR in multi-compartment systems. , 1998, Journal of magnetic resonance.

[48]  W Dreher,et al.  Water signal attenuation in diffusion-weighted 1H NMR experiments during cerebral ischemia: influence of intracellular restrictions, extracellular tortuosity, and exchange. , 1998, Magnetic resonance imaging.

[49]  K. Hayamizu,et al.  A model for diffusive transport through a spherical interface probed by pulsed-field gradient NMR. , 1998, Biophysical journal.

[50]  R M Henkelman,et al.  Water dynamics in human blood via combined measurements of T2 relaxation and diffusion in the presence of gadolinium , 1998, Magnetic resonance in medicine.

[51]  Callaghan,et al.  A simple matrix formalism for spin echo analysis of restricted diffusion under generalized gradient waveforms , 1997, Journal of magnetic resonance.

[52]  P. Kuchel,et al.  NMR diffusion measurements to characterise membrane transport and solute binding , 1997 .

[53]  D B Hackney,et al.  Numerical model for calculation of apparent diffusion coefficients (ADC) in permeable cylinders—comparison with measured ADC in spinal cord white matter , 1997, Magnetic resonance in medicine.

[54]  A. Szafer,et al.  An analytical model of restricted diffusion in bovine optic nerve , 1997, Magnetic resonance in medicine.

[55]  D. Norris,et al.  Biexponential diffusion attenuation in various states of brain tissue: Implications for diffusion‐weighted imaging , 1996, Magnetic resonance in medicine.

[56]  Eiichi Fukushima,et al.  The Narrow-Pulse Criterion for Pulsed-Gradient Spin-Echo Diffusion Measurements , 1995 .

[57]  Per Linse,et al.  The Validity of the Short-Gradient-Pulse Approximation in NMR Studies of Restricted Diffusion. Simulations of Molecules Diffusing between Planes, in Cylinders and Spheres , 1995 .

[58]  Kikuko Hayamizu,et al.  Pulsed-Field-Gradient NMR of Diffusive Transport through a Spherical Interface into an External Medium Containing a Relaxation Agent , 1995 .

[59]  J. Gore,et al.  Theoretical Model for Water Diffusion in Tissues , 1995, Magnetic resonance in medicine.

[60]  Paul T. Callaghan,et al.  Pulsed-Gradient Spin-Echo NMR for Planar, Cylindrical, and Spherical Pores under Conditions of Wall Relaxation , 1995 .

[61]  Karl G. Helmer,et al.  Restricted Diffusion in Sedimentary Rocks. Determination of Surface-Area-to-Volume Ratio and Surface Relaxivity , 1994 .

[62]  C. Springer,et al.  Relaxographic imaging. , 1994, Journal of magnetic resonance. Series B.

[63]  Paul T. Callaghan,et al.  Pulsed gradient spin echo nuclear magnetic resonance for molecules diffusing between partially reflecting rectangular barriers , 1994 .

[64]  M. H. Blees,et al.  The Effect of Finite Duration of Gradient Pulses on the Pulsed-Field-Gradient NMR Method for Studying Restricted Diffusion , 1994 .

[65]  K. Svoboda,et al.  Time-dependent diffusion of water in a biological model system. , 1994, Proceedings of the National Academy of Sciences of the United States of America.

[66]  Per Linse,et al.  The NMR Self-Diffusion Method Applied to Restricted Diffusion. Simulation of Echo Attenuation from Molecules in Spheres and between Planes , 1993 .

[67]  Schwartz,et al.  Short-time behavior of the diffusion coefficient as a geometrical probe of porous media. , 1993, Physical review. B, Condensed matter.

[68]  Partha P. Mitra,et al.  Time-Dependent Diffusion Coefficient of Fluids in Porous Media as a Probe of Surface-to-Volume Ratio , 1993 .

[69]  H. Van As,et al.  Probing water compartments and membrane permeability in plant cells by H NMR relaxation measurements. , 1992, Biophysical journal.

[70]  Schwartz,et al.  Diffusion propagator as a probe of the structure of porous media. , 1992, Physical review letters.

[71]  M. J. D. Mallett,et al.  Exact analytic solutions for diffusion impeded by an infinite array of partially permeable barriers , 1992, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[72]  P. Callaghan,et al.  Diffraction-like effects in NMR diffusion studies of fluids in porous solids , 1991, Nature.

[73]  M. Steward,et al.  Water permeability of acinar cell membranes in the isolated perfused rabbit mandibular salivary gland. , 1990, The Journal of physiology.

[74]  M. D. Herbst,et al.  A review of water diffusion measurement by NMR in human red blood cells. , 1989, The American journal of physiology.

[75]  A. Finkelstein,et al.  Water movement through lipid bilayers, pores, and plasma membranes : theory and reality , 1987 .

[76]  Jörg Kärger,et al.  NMR self-diffusion studies in heterogeneous systems , 1985 .

[77]  J. E. Tanner,et al.  Intracellular diffusion of water. , 1983, Archives of biochemistry and biophysics.

[78]  R. A. Garrick,et al.  Membrane permeability of isolated lung cells to nonelectrolytes at different temperatures. , 1982, The American journal of physiology.

[79]  K. Brownstein,et al.  Importance of classical diffusion in NMR studies of water in biological cells , 1979 .

[80]  J. E. Tanner Transient diffusion in a system partitioned by permeable barriers. Application to NMR measurements with a pulsed field gradient , 1978 .

[81]  P. Steponkus,et al.  Water permeability of chlorella cell membranes by nuclear magnetic resonance: measured diffusion coefficients and relaxation times. , 1978, Plant physiology.

[82]  J Andrasko,et al.  Water diffusion permeability of human erythrocytes studied by a pulsed gradient NMR technique. , 1976, Biochimica et biophysica acta.

[83]  T Conlon,et al.  Water diffusion permeability of erythrocytes using an NMR technique. , 1972, Biochimica et biophysica acta.

[84]  F. Crick Diffusion in Embryogenesis , 1970, Nature.

[85]  J. E. Tanner,et al.  Restricted Self‐Diffusion of Protons in Colloidal Systems by the Pulsed‐Gradient, Spin‐Echo Method , 1968 .

[86]  E. Stejskal Use of Spin Echoes in a Pulsed Magnetic‐Field Gradient to Study Anisotropic, Restricted Diffusion and Flow , 1965 .

[87]  D. Dick,et al.  The permeability coefficient of water in the cell membrane and the diffusion coefficient in the cell interior. , 1964, Journal of theoretical biology.

[88]  H. Mcconnell Reaction Rates by Nuclear Magnetic Resonance , 1958 .

[89]  D. Grebenkov Use, misuse, and abuse of apparent diffusion coefficients , 2010 .

[90]  Stephan E Maier,et al.  Quantification of water compartmentation in cell suspensions by diffusion-weighted and T(2)-weighted MRI. , 2008, Magnetic resonance imaging.

[91]  D. Grebenkov,et al.  Laplacian Eigenfunctions in NMR , 2008 .

[92]  D. Le Bihan The ‘wet mind’: water and functional neuroimaging , 2007, Physics in medicine and biology.

[93]  Henk Van As,et al.  Intact plant MRI for the study of cell water relations, membrane permeability, cell-to-cell and long distance water transport. , 2007, Journal of experimental botany.

[94]  M. Garson,et al.  Water permeability ofNecturus gallbladder epithelial cell membranes measured by nuclear magnetic resonance , 2005, The Journal of Membrane Biology.

[95]  R M Weisskoff,et al.  Water diffusion and exchange as they influence contrast enhancement , 1997, Journal of magnetic resonance imaging : JMRI.

[96]  Eiichi Fukushima,et al.  A Multiple-Narrow-Pulse Approximation for Restricted Diffusion in a Time-Varying Field Gradient , 1996 .

[97]  A. Verkman,et al.  Water transport across mammalian cell membranes. , 1996, The American journal of physiology.

[98]  Sen,et al.  Effects of microgeometry and surface relaxation on NMR pulsed-field-gradient experiments: Simple pore geometries. , 1992, Physical review. B, Condensed matter.

[99]  H. Pfeifer Principles of Nuclear Magnetic Resonance Microscopy , 1992 .

[100]  Jörg Kärger,et al.  Principles and Application of Self-Diffusion Measurements by Nuclear Magnetic Resonance , 1988 .

[101]  M. Garson,et al.  Water permeability of Necturus gallbladder epithelial cell membranes measured by nuclear magnetic resonance. , 1985, The Journal of membrane biology.

[102]  Charles Randall. House,et al.  Water transport in cells and tissues , 1974 .