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Year Number of Results
1856 1
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1920 2
1921 2
1927 2
1929 1
1938 1
1944 1
1947 3
1953 1
1954 1
1956 1
1958 1
1959 1
1961 1
1962 2
1963 1
1964 5
1965 3
1966 10
1967 7
1968 7
1969 6
1970 11
1971 5
1972 7
1973 13
1974 12
1975 34
1976 34
1977 41
1978 34
1979 31
1980 47
1981 42
1982 56
1983 60
1984 60
1985 75
1986 84
1987 81
1988 89
1989 82
1990 97
1991 87
1992 114
1993 144
1994 147
1995 118
1996 166
1997 157
1998 180
1999 213
2000 217
2001 257
2002 299
2003 285
2004 341
2005 470
2006 492
2007 508
2008 564
2009 585
2010 594
2011 653
2012 635
2013 692
2014 777
2015 808
2016 812
2017 796
2018 836
2019 913
2020 920
2021 1006
2022 894
2023 857
2024 934
2025 379

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17,433 results

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Page 1
Fundamental solution of diffusion equation for Kappa gas: Diffusion length for suprathermal electrons in solar wind.
Benetti MH, Silveira FEM, Caldas IL. Benetti MH, et al. Phys Rev E. 2023 May;107(5-2):055212. doi: 10.1103/PhysRevE.107.055212. Phys Rev E. 2023. PMID: 37329056
In this work, we derive and, subsequently, solve an entirely different class of nonlinear partial differential equations describing the one-dimensional diffusion of a suprathermal gas. The theory is applied to describe the aforementioned data and we find a spectral index k …
In this work, we derive and, subsequently, solve an entirely different class of nonlinear partial differential equations describing the one- …
Diffusion of knots in nanochannel-confined DNA molecules.
Mao R, Dorfman KD. Mao R, et al. J Chem Phys. 2023 May 21;158(19):194901. doi: 10.1063/5.0151025. J Chem Phys. 2023. PMID: 37184024
The mean knot size increases significantly and sub-linearly with increasing chain contour length. The knot diffusion in nanochannel-confined DNA molecules is subdiffusive, with the unknotting time scaling with chain contour length with an exponent of 2.64 0.2 …
The mean knot size increases significantly and sub-linearly with increasing chain contour length. The knot diffusion in nanoch …
Revealing mesoscopic structural universality with diffusion.
Novikov DS, Jensen JH, Helpern JA, Fieremans E. Novikov DS, et al. Proc Natl Acad Sci U S A. 2014 Apr 8;111(14):5088-93. doi: 10.1073/pnas.1316944111. Epub 2014 Mar 24. Proc Natl Acad Sci U S A. 2014. PMID: 24706873 Free PMC article.
Measuring molecular diffusion is widely used for characterizing materials and living organisms noninvasively. This characterization relies on relations between macroscopic diffusion metrics and structure at the mesoscopic scale commensurate with the diffusion …
Measuring molecular diffusion is widely used for characterizing materials and living organisms noninvasively. This characterization r …
Relative Cation-Anion Diffusion in Alkyltriethylammonium-Based Ionic Liquids.
Kruk D, Masiewicz E, Kołodziejski K, Markiewicz R, Jurga S. Kruk D, et al. Int J Mol Sci. 2022 May 26;23(11):5994. doi: 10.3390/ijms23115994. Int J Mol Sci. 2022. PMID: 35682674 Free PMC article.
(19)F Nuclear Magnetic Resonance spin-lattice relaxation experiments have been performed for a series of ionic liquids including the same anion, bis(trifluoromethanesulfonyl)imide, and cations with alkyl chains of different lengths: triethylhexylammonium, triethyloctylammo …
(19)F Nuclear Magnetic Resonance spin-lattice relaxation experiments have been performed for a series of ionic liquids including the same an …
Anomalous Diffusion Characterization by Fourier Transform-FRAP with Patterned Illumination.
Geiger AC, Smith CJ, Takanti N, Harmon DM, Carlsen MS, Simpson GJ. Geiger AC, et al. Biophys J. 2020 Aug 18;119(4):737-748. doi: 10.1016/j.bpj.2020.07.013. Epub 2020 Jul 24. Biophys J. 2020. PMID: 32771078 Free PMC article.
Simultaneous measurement of diffusion at multiple length scales was enabled through analysis of multiple spatial harmonics of the photobleaching pattern. ...Constraining the fit to describe diffusion over multiple length scales resulted in higher confi …
Simultaneous measurement of diffusion at multiple length scales was enabled through analysis of multiple spatial harmonics of …
Impact of matrix diffusion on the migration of groundwater plumes for Perfluoroalkyl acids (PFAAs) and other non-degradable compounds.
Farhat SK, Newell CJ, Lee SA, Looney BB, Falta RW. Farhat SK, et al. J Contam Hydrol. 2022 May;247:103987. doi: 10.1016/j.jconhyd.2022.103987. Epub 2022 Mar 8. J Contam Hydrol. 2022. PMID: 35286952
Under these conditions, models of nondestructive physical attenuation processes, traditionally dispersion or sorption, do not demonstrate sufficient plume control unless matrix diffusion is considered. Matrix diffusion has been shown to be a notable emergent impact …
Under these conditions, models of nondestructive physical attenuation processes, traditionally dispersion or sorption, do not demonstrate su …
Heterogeneous nanoscopic lipid diffusion in the live cell membrane and its dependency on cholesterol.
Chai YJ, Cheng CY, Liao YH, Lin CH, Hsieh CL. Chai YJ, et al. Biophys J. 2022 Aug 16;121(16):3146-3161. doi: 10.1016/j.bpj.2022.07.008. Epub 2022 Jul 16. Biophys J. 2022. PMID: 35841144 Free PMC article.
We find that both saturated and unsaturated phospholipids undergo anomalous subdiffusion on the length scale of 10-100 nm. The diffusion characteristics exhibit considerable variations in space and in time, indicating that the nanoscopic lipid diffusion is hi …
We find that both saturated and unsaturated phospholipids undergo anomalous subdiffusion on the length scale of 10-100 nm. The dif …
Toehold Length of Target ssDNA Affects Its Reaction-Diffusion Behavior in DNA-Responsive DNA-co-Acrylamide Hydrogels.
Jonášová EP, Bjørkøy A, Stokke BT. Jonášová EP, et al. Biomacromolecules. 2020 May 11;21(5):1687-1699. doi: 10.1021/acs.biomac.9b01515. Epub 2020 Jan 13. Biomacromolecules. 2020. PMID: 31887025
The data show that a longer toehold results in faster cross-link opening but reduced diffusion of the target, thus resulting in only a moderate increase in the overall swelling rate. The parameters obtained by fitting the data using a reaction-diffusion model were d …
The data show that a longer toehold results in faster cross-link opening but reduced diffusion of the target, thus resulting in only …
Estimating and leveraging protein diffusion on ion-exchange resin surfaces.
Khanal O, Kumar V, Schlegel F, Lenhoff AM. Khanal O, et al. Proc Natl Acad Sci U S A. 2020 Mar 31;117(13):7004-7010. doi: 10.1073/pnas.1921499117. Epub 2020 Mar 16. Proc Natl Acad Sci U S A. 2020. PMID: 32179691 Free PMC article.
We demonstrate that accounting for and exploiting protein surface diffusion can alleviate the mass-transfer limitations on multiple significant length scales. ...The binding dependence of surface diffusion inspired a protein-loading approach in which the bind …
We demonstrate that accounting for and exploiting protein surface diffusion can alleviate the mass-transfer limitations on multiple s …
Anomalous Diffusion in Inverted Variable-Lengthscale Fluorescence Correlation Spectroscopy.
Stolle MDN, Fradin C. Stolle MDN, et al. Biophys J. 2019 Mar 5;116(5):791-806. doi: 10.1016/j.bpj.2019.01.024. Epub 2019 Jan 30. Biophys J. 2019. PMID: 30782396 Free PMC article.
We use computer simulations to examine the signature of several biologically relevant diffusion processes (simple diffusion, continuous-time random walk, caged diffusion, obstructed diffusion, two-state diffusion, and diffusing diffusi …
We use computer simulations to examine the signature of several biologically relevant diffusion processes (simple diffusion, c …
17,433 results
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