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Gamma convolution models for self-diffusion coefficient distributions in PGSE NMR


, : Gamma convolution models for self-diffusion coefficient distributions in PGSE NMR. Journal of Magnetic Resonance 261: 6-10

We introduce a closed-form signal attenuation model for pulsed-field gradient spin echo (PGSE) NMR based on self-diffusion coefficient distributions that are convolutions of n gamma distributions, n⩾1. Gamma convolutions provide a general class of uni-modal distributions that includes the gamma distribution as a special case for n=1 and the lognormal distribution among others as limit cases when n approaches infinity. We demonstrate the usefulness of the gamma convolution model by simulations and experimental data from samples of poly(vinyl alcohol) and polystyrene, showing that this model provides goodness of fit superior to both the gamma and lognormal distributions and comparable to the common inverse Laplace transform.

US$19.90

PMID: 26524648

DOI: 10.1016/j.jmr.2015.10.001


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Omae, Y.; Sekimizu, K.; Kaito, C., 2015: Identification of Staphylococcus aureus colony-spreading stimulatory factors from mammalian serum. Staphylococcus aureus forms giant colonies on soft-agar surfaces, which is called colony-spreading. In the present study, we searched for host factors that influence S. aureus colony-spreading activity. The addition of calf serum, porcine serum, o...

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Bennett J.C., 1986: Immunoglobulins as membrane messengers genetics and regulation. Russo-Marie, F , J M Mencia-Huerta And M Chignard (Ed ) Advances in Inflammation Research, Vol 10 Xxv+435p Raven Press Books, Ltd : New York, N Y , Usa Illus 51-62

Wright, M.P.; Nelson, C.; Johnson, A.M.; McMillan, I.K., 1970: Herniation of the heart. Thorax 25(6): 656-664

Moroe K.; Saku K.; Tashiro N.; Hiroki T.; Arakawa K., 1988: Torsade de pointes and atrioventricular block. In order to elucidate the trigger factor of the production of torsades de pointes (TdP), electrophysiological study was conducted in 15 patients with atrioventricular (AV) block; 6 with TdP (TdP group) and 9 without TdP (control group). In the TdP...

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Casadio, R.; Melandri, B.A.; Piretti, M.V.; Serrazanetti, G.P., 1979: Phospholipid composition of photosynthetic membranes of Rhodopseudomonas capsulata. The phospholipids and the fatty acids present in membranes of cells of Rhodopseudomonas capsulata, grown photosynthetically in anaerobiosis, were analyzed by thin layer chromatography and gas chromatography-mass spectrometry. The three phospholipi...

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