Crooks relationship

Godsland IF, Crook D. Update on the metabolic effects of steroidal contraceptives and their relationship to cardiovascular disease risk. Am J Obstet Gynecol 1994 170(5 Pt 2) 1528-36. 

Figure 5.14 Relationship between peak potentials and solution pH for adsorbed (A) and freely diffusing (O) 2,6-AQDS. Reprinted with permission from P. He, R. M. Crooks and L. R. Faulkner, /. Phys. Chem., 94,1135 (1990). Copyright (1990) American Chemical Society...

Tucker H, Crook JW, Chesterson GJ (1988) Nonsteroidal antiandrogens. Synthesis and structure-activity relationships of 3-substituted derivatives of 2-hydroxypropionanilides. J Med Chem 31 954-959... 

Copper surface, 137 Co-precipitation, 440 method, 312, 388 Core shell structure, 411, 415 Crookes, Sir William, 39 Cronstedt, Axel Frederik, 5 Crystal field symmetry, 371 Crystallographic relationships, 265 ErCuPbSj, 265 ErCuPbSej, 265 Er5CuPb3Sen, 266 Er2EuS4, 267 Er2PbS4, 267 LaCuPbSs, 265 La2S3, 265... 

Rondoni and Mejia-Monasterio give a thorough, and current review of the various FRs. They discuss their theoretical basis as well as applications. Kurchan presents a concise review including the ES FR, Crooks FR and JE, emphasising the generality and simplicity of the relationships. 

Horowitz and Jarzynski examine the connection between a result by Bochkov and Kuzovlev that can be used to obtain an FR, the Crooks FR and the ES FR. They show that the relationships differ in their definition of the work and range of applicability. 

Adib " determined a fluctuation relation for the free energy difference between two constrained configurations i.e. with q fixed at qA and then at qg) by allowing the two different constrained configurations to relax to equilibrium. As noted in that work, this relationship is fundamentally different to Crooks (Jarzynski) because no work is performed during the process. The FR is given by... 

There have been many applications of the nonequilibrium free energy calculations in the literature, and here we outline a number of them. The Crooks FR has been using in simulations and experiments, but presumably because of the simplicity of evaluation of the free energy using JE, this relationship is much more widely used. In some particular examples, advantages of the Crooks approach have been noted. 

We have presented brief descriptions of the relationships obtained from theorems about nonequilibrium systems the ES FR, the Crooks FR and the JE. We also mention the GC FR in regard to its relationship to the ES FR. Over the years these relationships have increased our fundamental understanding of nonequilibrium systems and can explain how thermod5mamic irreversibility emerges from underlying reversible equations of motion. 

Wong A, Hwang SM, Cheng HY, Crooke ST. Structure-activity relationships of P-adrenergic receptor-coupled adenylate cyclase implications of a redox mechanism for the action of agonists at P-adrenergic receptors. Mol Pharmacol 1987 31 368-376. 

Caldwell, W.S., Benchenif, M., Bhatti, B.S., Deo, N.M., Dobson, G.P., Dull, G.M., Lipiello, P.M., Lovette, M.E., Miller, C.H., Ravard, A., Schmitt, J.D., Crooks, P.A., 1997. Synthesis and structure-activity relationships of analogs of RJR-2403, a CNS-selective nicotinic agonist. Abstracts of International Business Communications Symposium on Nicotinic Acetylcholine Receptors as Pharmaceutical Targets, Washington, DC, July 24-25. 

Crooke ST, DuVemay VH. Galvan L, Prestayko AW. Structure-activity relationships of anthracyc lines relative to effects on macromolecular syntheses. Mol Pharmacol 1978 14 290-298. 

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