Schultz function

The parameters R, and V represent the particle volume fraction, radius, and volume, respectively. The function is the particle form factor P Q, Rd. The contribution X(i j) is the Schultz function [50,51], which is characterized by an average radius R7 and root-mean-square (RMS) deviation o- = Rf/(Z 1)", where Z is a width parameter. With samples that were close to the low-pressure phase boimdary it was necessary to introduce into Eq. (2) an attractive Omstein-Zemicke structure factor S Q, C)- This S Q) is an effective function, accounting for additional scattering at low Q, and has been used before with CO2 microemulsions [11,13,16,17,30]. The O-Z function describes a decaying particle distribution with the correlation length, and the strength of interactions is related to S(0) via the isothermal compressibility [51]... 

Schultz AC, P Nygaard, HH Saxild (2001) Functional analysis of 14 genes that constitute the purine catabolic pathway in Bacillus subtilis and evidence for a novel regulon controlled by the PucR transcription activator. J Bacteriol 183 3293-3302. 

If no Mollier diagram is available, it is more difficult to estimate the ideal work in compression or expansion processes. Schultz (1962) gives a method for the calculation of the polytropic work, based on two generalised compressibility functions, X and Y which supplement the familiar compressibility factor Z. 

E. Grasset, and D. Louvard, Use of cultured cell lines in studies of intestinal cell differentiation and function, in Handbook of Physiology, Section 6 The Gastrointestinal System, S. Schultz, Editor. 1991, American Physiological Society Bethesda. p. 223-255... 

Schultz, D. G., and Melsa, J. L., State Functions and Linear Control Systems, McGraw-Hill, New York, 1967. 

Most of the commonly used electronic-structure methods are based upon Hartree-Fock theory, with electron correlation sometimes included in various ways (Slater, 1974). Typically one begins with a many-electron wave function comprised of one or several Slater determinants and takes the one-electron wave functions to be molecular orbitals (MO s) in the form of linear combinations of atomic orbitals (LCAO s) (An alternative approach, the generalized valence-bond method (see, for example, Schultz and Messmer, 1986), has been used in a few cases but has not been widely applied to defect problems.)... 

The main idea of the algorithm of Caroe and Schultz [11] is to decompose a 2S-MILP into its scenarios by Lagrangian relaxation of the non-anticipativity constraints. In a Lagrangian relaxation, constraints are removed and included in the objective function with a penalty term. 

Helliwell RM, Large WA 1997 Alphal-adrenoceptor activation of a non-selective cation current in rabbit portal vein by 1,2-diacyl-sn-glycerol. J Physiol 499 417-428 Hofmann F, Lacinova L, Klugbauer N 1999 Voltage-dependent calcium channels from structure to function. Rev Physiol Biochem Pharmacol 139 33—87 Hofmann T, Schaefer M, Schultz G, Gundermann T 2000 Transient receptor potential channels as molecular substrates of receptor-mediated cation entry. J Mol Med 78 14—25 Inoue R, Okada T, Onoue H et al 2001 The transient receptor potential protein homologue TRP6 is the essential component of vascular aj-adrenoceptor-activated Ca2+-permeable cation channel. Circ Res 88 325—332... 

Schulz, A., Grosse, R., Schultz, G., Gudermann, T., and Schoneberg, T. (2000) structural implication for receptor oligomerization from functional reconstitution studies of mutant V2 vasopressin receptors. J. Biol. Chem. 275, 2381-2389. 

Transition states of this tetrahedral nature have now been mimicked effectively by a range of stable analogues, including phosphonic acids, phosphonate esters, a-difluoroketones, and hydroxymethylene functional groups (Jacobs, 1991). Lerner s group elicited antibodies to a tetrahedral anionic phosphonate hapten [3] (Appendix entry 2.9)2 whilst Schultz s group isolated a protein with high affinity for p-nitrophenyl cholyl phosphate [4] (Fig. 4) (Appendix entry 3.2). 

Fig. 8-40. Transfer currents of redox electrons observed on a platinum electrodes covered with a thin platinum oxide film of PtO in acidic solutions as a function of film thickness hydrated redox particles Fe /Fe at 0.98 V he in acidic solution at pH 0 hydrated redox particles Ce /Ce at 1.0 in acidic solution at pH 3. [From Schultze, 1978 Schultze-Vetter, 1973.]...

A. Trojan, J.L. Schultze, M. Witzens, R.H. Vonderheide, M. Ladetto, J.W. Donovan, and J.G. Gribben, Immunoglobulin framework derived peptides function as c34otoxic T cell epitopes commonly expressed in B-cell malignancies, Nat Med. 6, 667-672 (2000). 

Gudermann, T., Nurnberg, B., and Schultz, G. Receptors and G proteins as primary components of transmembrane signal transduction. Part 1. G-protein-coupled receptors structure and function./. Mol. Med. 1995, 73, 51-63. 

Ling, X., Harkness, T.A., Schultz, M.C., Fisher-Adams, G. and Grunstein, M. (1996) Yeast histone H3 and H4 amino termini are important for nudeosome assembly in vivo and in vitro redundant and position-independent functions in assembly but not in gene regulation. Genes and Development, 10, 686-699. 

V.W. Cornish, D. Mendel, P.G. Schultz, Probing protein stmcture and function with an expanded genetic code, Angew. Chem. Int. Ed. 34(6) (1995) 621-633. 

J.C. Anderson, N. Wu, S.W. Santoro, V. Lakshman, D.S. King, P.G. Schultz, An expanded genetic code with a functional quadmplet codon, Proc. Natl. Acad. Sci. USA 101(20) (2004) 7566-7571. 

Carter, A.S., O Donnell, D.A., Schultz, R.T., Scahill, L., Leckman, J.F., and Pauls, D.L. (2000) Social and emotional adjustment in children affected with Gilles de la Tourette syndrome associations with ADHD and family functioning. / Child Psychol Psychiatry 41 215-223. 

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