1,274 research outputs found
Fluctuations in mixtures of lamellar- and nonlamellar-forming lipids
We consider the role of nonlamellar-forming lipids in biological membranes by
examining fluctuations, within the random phase approximation, of a model
mixture of two lipids, one of which forms lamellar phases while the other forms
inverted hexagonal phases. To determine the extent to which nonlamellar-forming
lipids facilitiate the formation of nonlamellar structures in lipid mixtures,
we examine the fluctuation modes and various correlation functions in the
lamellar phase of the mixture. To highlight the role fluctuations can play, we
focus on the lamellar phase near its limit of stability. Our results indicate
that in the initial stages of the transition, undulations appear in the
lamellae occupied by the tails, and that the nonlamellar-forming lipid
dominates these undulations. The lamellae occupied by the head groups pinch off
to make the tubes of the hexagonal phase. Examination of different correlations
and susceptibilities makes quantitative the dominant role of the
nonlamellar-forming lipids.Comment: 7 figures (better but larger in byte figures are available upon
resuest), submitte
New mechanism of membrane fusion
We have carried out Monte Carlo simulation of the fusion of bilayers of
single chain amphiphiles which show phase behavior similar to that of
biological lipids. The fusion mechanism we observe is very different from the
``stalk'' hypothesis. Stalks do form on the first stage of fusion, but they do
not grow radially to form a hemifused state. Instead, stalk formation
destabilizes the membranes and results in hole formation in the vicinity of the
stalks. When holes in each bilayer nucleate spontaneously next to the same
stalk, an incomplete fusion pore is formed. The fusion process is completed by
propagation of the initial connection, the stalk, along the edges of the
aligned holes.Comment: 4 pages, 3 figure
The RSV and the Small Catechism
In the theological literature of The Lutheran Church-Missouri Synod it has been the practice to quote Scripture passages in English in the form in which they appear in the King James Version of 1611. The revision of 1881-1885 and the revision of 1901 in no way affected this custom. Neither achieved any great measure of popularity. The situation appears to be somewhat different in the case of the Holy Bible, Revised Standard Version, which appeared upon the market in 1952 under copyright of the Division of Christian Education of the National Council of the Churches of Christ in the United States of America. A large number of copies of this Bible in modern English have already been sold and are apparently being widely read. Several church bodies have officially approved the use of this new version in their services and in Sunday schools
The Holy Bible, Revised Standard Version
In the fall of 1952 Thomas Nelson and Sons placed on the market the Revised Standard Version of the complete Holy Bible. The New Testament section remains substantially the same as the one which already appeared in 1946, but a few changes of a lesser import were given room when this text was issued in combination with the Old Testament translation. The latter, however, is new and represents the results of years of intensive research by the Revision Committee
The strong Novikov conjecture for low degree cohomology
We show that for each discrete group G, the rational assembly map
K_*(BG) \otimes Q \to K_*(C*_{max} G) \otimes \Q is injective on classes dual
to the subring generated by cohomology classes of degree at most 2 (identifying
rational K-homology and homology via the Chern character). Our result implies
homotopy invariance of higher signatures associated to these cohomology
classes. This consequence was first established by Connes-Gromov-Moscovici and
Mathai.
Our approach is based on the construction of flat twisting bundles out of
sequences of almost flat bundles as first described in our previous work. In
contrast to the argument of Mathai, our approach is independent of (and indeed
gives a new proof of) the result of Hilsum-Skandalis on the homotopy invariance
of the index of the signature operator twisted with bundles of small curvature.Comment: 11 page
Distribution of lipids in non-lamellar phases of their mixtures
We consider a model of lipids in which a head group, characterized by its
volume, is attached to two flexible tails of equal length. The phase diagram of
the anhydrous lipid is obtained within self-consistent field theory, and
displays, as a function of lipid architecture, a progression of phases:
body-centered cubic, hexagonal, gyroid, and lamellar. We then examine mixtures
of an inverted hexagonal forming lipid and a lamellar forming lipid. As the
volume fractions of the two lipids vary, we find that inverted hexagonal,
gyroid, or lamellar phases are formed. We demonstrate that the non-lamellar
forming lipid is found preferentially at locations which are difficult for the
lipid tails to reach. Variations in the volume fraction of each type of lipid
tail are on the order of one to ten per cent within regions dominated by the
tails. We also show that the variation in volume fraction is correlated
qualitatively with the variation in mean curvature of the head-tail interface.Comment: 10 pages, 12 figures (better figures are available upon request), to
appear in J. Chem. Phy
Nudged Elastic Band calculation of the binding potential for liquids at interfaces
The wetting behavior of a liquid on solid substrates is governed by the
nature of the effective interaction between the liquid-gas and the solid-liquid
interfaces, which is described by the binding or wetting potential which
is an excess free energy per unit area that depends on the liquid film height
. Given a microscopic theory for the liquid, to determine one must
calculate the free energy for liquid films of any given value of ; i.e. one
needs to create and analyze out-of-equilibrium states, since at equilibrium
there is a unique value of , specified by the temperature and chemical
potential of the surrounding gas. Here we introduce a Nudged Elastic Band (NEB)
approach to calculate and illustrate the method by applying it in
conjunction with a microscopic lattice density functional theory for the
liquid. We show too that the NEB results are identical to those obtained with
an established method based on using a fictitious additional potential to
stabilize the non-equilibrium states. The advantages of the NEB approach are
discussed.Comment: 5 pages, 2 figure
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