Simultaneous extraction of order parameters and orientational distribution fuctions from 31[superscript]P NMR spectra of magnetically partially oriented phospholipid bilayers

Order parameter profiles extracted from the NMR spectra of model membranes are a valuable source of information about their structure and molecular motions. To al1alyze powder spectra the de-Pake-ing (numerical deconvolution) ~echnique can be used, but it assumes a random (spherical) dist.ribution of orientations in the sample. Multilamellar vesicles are known to deform and orient in the strong magnetic fields of NMR magnets, producing non-spherical orientation distributions. A recently developed technique for simultaneously extracting the anisotropies of the system as well as the orientation distributions is applied to the analysis of partially magnetically oriented 31p NMR spectra of phospholipids. A mixture of synthetic lipids, POPE and POPG, is analyzed to measure distortion of multilamellar vesicles in a magnetic field. In the analysis three models describing the shape of the distorted vesicles are examined. Ellipsoids of rotation with a semiaxis ratio of about 1.14 are found to provide a good approximation of the shape of the distorted vesicles. This is in reasonable agreement with published experimental work. All three models yield clearly non-spherical orientational distributions, as well as a precise measure of the anisotropy of the chemical shift. Noise in the experimental data prevented the analysis from concluding which of the three models is the best approximation. A discretization scheme for finding stability in the algorithm is outlined

Developing a numerical inverse-theory-based extraction of orientation-dependent relaxation rates from partially- relaxed spectra

Second-rank tensor interactions, such as quadrupolar interactions between the spin- 1 deuterium nuclei and the electric field gradients created by chemical bonds, are affected by rapid random molecular motions that modulate the orientation of the molecule with respect to the external magnetic field. In biological and model membrane systems, where a distribution of dynamically averaged anisotropies (quadrupolar splittings, chemical shift anisotropies, etc.) is present and where, in addition, various parts of the sample may undergo a partial magnetic alignment, the numerical analysis of the resulting Nuclear Magnetic Resonance (NMR) spectra is a mathematically ill-posed problem. However, numerical methods (de-Pakeing, Tikhonov regularization) exist that allow for a simultaneous determination of both the anisotropy and orientational distributions. An additional complication arises when relaxation is taken into account. This work presents a method of obtaining the orientation dependence of the relaxation rates that can be used for the analysis of the molecular motions on a broad range of time scales. An arbitrary set of exponential decay rates is described by a three-term truncated Legendre polynomial expansion in the orientation dependence, as appropriate for a second-rank tensor interaction, and a linear approximation to the individual decay rates is made. Thus a severe numerical instability caused by the presence of noise in the experimental data is avoided. At the same time, enough flexibility in the inversion algorithm is retained to achieve a meaningful mapping from raw experimental data to a set of intermediate, model-free

Telegraph to H.K. Woodruff

Telegraph to H. K. Woodruff of St. Margaret's Island informing him of Samuel DeVeaux Woodruff's death. It is dated July 16, 1918 and signed "Welland".

Letter - Holmes' Burglar Alarm, Telegraph Company to S.D. Woodruff

Letter to S.D. Woodruff from the Holmes’ Burglar Alarm, Telegraph Company of New York stating that they will send a Mr. Whittaker over to make repairs or changes. There is a partial envelope included with this letter, Feb. 8, 1881.

Telegraph to S.D. Woodruff from W.H. Johnson of Alpena, Michigan

Telegraph to S.D. Woodruff from W.H. Johnson of Alpena, Michigan. He says “If I can have the refusal at the twenty five hundred until I can look, you can draw for the seventy two dollars”. The telegraph is torn, Mar. 5, 1880.

Telegraph to S.D. Woodruff from W. Johnson of Alpena, Michigan

Telegraph to S.D. Woodruff from W. Johnson of Alpena, Michigan stating that he has sent a New York draft for $2,500.00, May 27, 1881.

Telegram from Great North Western Telegraph Company of Canada to S.D. Woodruff from L. Cabot

Telegram from Great North Western Telegraph Company of Canada to S.D. Woodruff from L. Cabot stating that he will take the shares, Jan. 16, 1886.

Telegram from Great North Western Telegraph Company of Canada to S.D. Woodruff from L. Cabot stating that the draft for $5000.00 will be forwarded

Telegram from Great North Western Telegraph Company of Canada to S.D. Woodruff from L. Cabot stating that the draft for $5000.00 will be forwarded on Monday or Tuesday, Jan. 16, 1886.

Telegram from Montreal and Dominion Telegraph Companies’ Lines to Louis Cabot stating that Mr. Woodruff has arranged to transfer the shares

Telegram from Montreal and Dominion Telegraph Companies’ Lines to Louis Cabot stating that Mr. Woodruff has arranged to transfer the shares, Jan. 18, 1886.

Telegram from Montreal and Dominion Telegraph Companies’ Lines form with a note on it saying “will wait for receipt”

Telegram from Montreal and Dominion Telegraph Companies’ Lines form with a note on it saying “will wait for receipt”[ no sender nor receiver listed, most likely Louis Cabot to Samuel D. Woodruff], 1886.

Telegraph to Samuel D. Woodruff from T. N. Burrell

Telegraph to Samuel D. Woodruff from T. N. Burrell stating that they do not have enough brocatelle for his order, Sept. 22, 1876.

Letter to H.H. Collier of the Houston, Texas Telegraph Office from Jim Long of Austin, Texas

Letter to H.H. Collier of the Houston, Texas Telegraph Office from Jim Long of Austin, Texas. Mr. Long writes about the horrible shooting of Mr. James Smith by his overseer, Mr. R. Baker. This letter is torn and taped. A small portion of the bottom of the letter is torn away. This slightly affects the text (2 pages, handwritten), Jan. 25, 1845.

The Daily Telegraph, April 22, 1901

The Daily Telegraph, London, England (pages 7 and 8). The section” South African Rewards: Honours for the Army” has and x marked beside it. The paper has been taped and there is a hole in one of the pages. This affects the text slightly, April 22, 1901.