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Characterization of the Distribution of Spin–Lattice Relaxation Rates of Lipid Spin Labels in Fiber Cell Plasma Membranes of Eye Lenses with a Stretched Exponential Function

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Abstract

The stretched exponential function (SEF) was used to analyze and interpret saturation recovery (SR) electron paramagnetic resonance (EPR) data obtained from spin-labeled porcine eye-lens membranes. This function has two fitting parameters: the characteristic spin–lattice relaxation rate (T1str−1) and the stretching parameter (β), which ranges between zero and one. When β =1, the function is a single exponential. It is assumed that the SEF arises from a distribution of single exponential functions, each described by a T1 value. Because T −11 s are determined primarily by the rotational diffusion of spin labels, they are a measure of membrane fluidity. Since β describes the distribution of T −11 s, it can be interpreted as a measure of membrane heterogeneity. The SEF was used to analyze SR data obtained from intact cortical and nuclear fiber cell plasma membranes extracted from the eye lenses of 2-year-old animals and spin labeled with phospholipid and cholesterol analogs. The lipid environment sensed by these probe molecules was found to be less fluid and more heterogeneous in nuclear membranes than in cortical membranes. Parameters T −11str and β were also used for a multivariate K-means cluster analysis of stretched exponential data. This analysis indicates that SEF data can be assigned accurately to clusters in nuclear or cortical membranes. In future work, the SEF will be applied to analyze data from human eye lenses of donors with differing health histories.

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Acknowledgements

Research reported in this publication was supported by NIH grants R01 EY015526, P41 EB001980, and P30 EY001931. The content is solely the responsibility of the authors and does not necessarily represent the official views of the NIH. We are grateful to Douglas Ward of the Department of Biophysics at Medical College of Wisconsin for the consultations and advice on statistics that include but are not limited to cross plotting of variables and the proper form for axis labeling.

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  1. Department of Biophysics, Medical College of Wisconsin, 8701 Watertown Plank Road, Milwaukee, WI, 53226, USA

    Natalia Stein, Laxman Mainali, James S. Hyde & Witold K. Subczynski

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Stein, N., Mainali, L., Hyde, J.S. et al. Characterization of the Distribution of Spin–Lattice Relaxation Rates of Lipid Spin Labels in Fiber Cell Plasma Membranes of Eye Lenses with a Stretched Exponential Function. Appl Magn Reson 50, 903–918 (2019). https://doi.org/10.1007/s00723-019-01119-7

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