Dividing Planes of Hexagonal H Mesophase - Self-Assembled Supramolecular Architectures: Lyotropic Liquid Crystals - page 94

statistical description along with the data (Bevington, 1969). It should be men-
tioned that the merit functions are related to

2 distribution, and the corre-
sponding probability should be taken in account when assessing the reliability
of the results. For example, fi tting data without taking into account the statisti-
cal description of the performed fi t (the variance in the estimates of the fi t
parameters, the relation between the linear correlation coeffi cient, and a
goodness - of - fi t measure, 95% confi dence/prediction interval, etc.) is a common
problem in scientifi c practice. It does not allow the researcher or reader to
conclude whether the description of data throughout the used model is ade-
quate. Another common problem is the use of unweighted data, that is, to set
σ

χ

1 in merit function. In that case, data may lie perfectly on the fi t line, but
the calculated parameters might be unreliable or, at worst, completely wrong.
When reliable results have to be obtained, the propagation of the error must
be always taken into account.

=

REFERENCES

Bevington , P. R. ( 1969 ). Data Reduction and Error Analysis for the Physical Sciences ,
McGraw - Hill , New York, Chapters 1 - 4 .
Fuller , N. , Benatti , C. R. , and Rand , R. P. ( 2003 ). Curvature and bending constants for
phosphatidylserine- containing membranes . Biophysics Journal , 85 , 1667 - 1674 .
Gruner , S. M. , Parsegian , V. A. , and Rand , R. P. ( 1986 ). Directly measured deformation
energy of phospholipid H II hexagonal phases. Faraday Discussions Chemical Society ,
81 , 29 - 37 .
Helfrich , W. ( 1973 ). Elastic properties of lipid bilayers: Theory and possible experi-
ments . Zeitschrift fur Naturforschung , 28C , 693 - 703 .
Kirk , G. L. , Gruner , S. M. , and Stein , D. L. ( 1984 ). A thermodynamic model of the
lamellar to inverse hexagonal phase transition of lipid membrane-water system.
Biochemistry , 23 , 1093 - 1102 .
Kozlov , M. M. , and Winterhalter , M. ( 1991a ). Elastic moduli for strongly curved mono-
layers. Analysis of experimental results. Journal de Physique, France II , 1 ,

1085 - 1100 .
Kozlov , M. M. , and Winterhalter , M. ( 1991b ). Elastic moduli for strongly curved
monolayers. Position of the neutral surface. Journal de Physique, France II , 1 ,
1077 - 1084 .
Kulkarni , V. C. , Wachter , W. , Iglesias - Salto , G. , Engelskirchen , S. , and Ahualli , S. , ( 2010 ).
Monoolein: A magic lipid? Physical Chemistry Chemical Physics , 13 , 3004 - 3021 .
L a fl eur , M. , Bloom , M. , Eikenberry , E. F. , Gruner , S. M. , Han , Y. , and Cullis , P. ( 1996 ).
Correlation between lipid plane curvature and lipid chain order. Biophysics Journal ,
70 , 2747 - 2757 .
Leikin , S. , Kozlov , M. M. , Fuller , N. L. , and Rand , R. P. ( 1996 ). Measured effects of
diacylglycerol of phospholipid membranes. Biophysics Journal , 71 , 2623 - 2632 .
Luzzati , V. , and Husson , F. ( 1962 ). X - ray diffraction studies of lipid - water systems .
Journal of Cell Biology , 12 , 207 - 219 .