Coil Theories

This equation was then applied to a variety of experimental data on solvent activity as related to vapor pressure (40), osmotic pressure in dilute and concentrated solutions (41), and light scattering (42). 

Both modifications affect the analysis of dilute solution behavior, and it is difficult to judge how much the e/e0 term is actually needed. In any case, as the authors themselves point out (41), the e/e0 term makes an entirely negligible contribution to solvent activity in concentrated solutions. For example, simple calculations yield a contribution of approximately l%ina 10% solution of natural rubber in benzene at 30° C (M = 500000, [t/]g = 250, y=0.4). It is therefore clear that thermodynamic measurements can furnish no evidence for or against continued collapse in concentrated solutions. 

Aharoni has stated that the observed rates of crystallization in polymers are inconsistent with the times required for random-coil molecules to separate themselves from the melt, and claims this as support for the collapsed coil model (43). No numerical comparisons are given, and it is difficult therefore to judge the basis for his assertion. 

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Qian, H. Schellman, J.A., Helix-coil theories a comparative study for finite length polypeptides, J. Phys. Chem. 1992, 96, 3987-3994. 

Applying the heUx coil theory to computational studies of the mPE backbone suggests that above a critical chain length of seven or eight repeat units the backbone can adopt a helical structure. The attachment of additional monomer units would further stabihze the helical structure and increase the cooperativity of the folding reaction [23]. 

This function computes the mean number of % h-bonds according to the helix-coil theory... 

In the twisting double-helical actin chain, the nucleation step involves only one monomer-monomer interaction while each monomer placed on the chain following nucleation involves two monomer-monomer bonds. In the helix-coil theory, the formation of two consecutive helical states represents the nucleation step that allows for a third helical state and hydrogen bond formation. 

For the helix-coil theory of Section 10.1.1, show that Z = (1 + v)N if w = v. This is expected for a chain of independent units, each of which has two states with energy 0 and —hgT in v. 

McKinney (1965) for rigid dumbbells as a function of random coil theories of Rouse and Zimm are shown in Fig. 19. At high frequencies, the reduced moduli of the Rouse theory become equal and increase together with a slope of 1/2, while those in the Zimm theory remain unequal and increase in a parallel manner with a slope of 2/3. 

Equation 12.67 predicts that the specific viscosity is proportional to the volume of the equivalent hydrodynamic sphere. The Einstein viscosity relation was derived for rigid spherical particles in solution. However, real polymer molecules are neither rigid nor spherical. Instead the spatial form of the polymer molecule in solution is regarded as a random coil. Theories based on this characteristic form of polymer molecules have resulted in the expression... 

Although much is known of the structure of the DNA molecule, little of the relationship between DNA and the chromosome has been established. Three theories concerned with the arrangement of the DNA molecule within the chromosomal structure have been proposed the protein backbone theory, the multistranded or rope theory, and the differential coiling theory [31, 114-118]. 

We are working on testing and verifying the theoretical methods for later use in practical algorithms in fast metal conductivity evaluation. In this particular work we compare the basic eddy current theory of coil impedance over a metal plate with the same scenario modeled with Finite Element Method (FEM) in a step-by-step approach, starting with simplest coil theory and going towards more complex practical scenarios. 

Zimm-Bragg helix-coil theory for N = 4 chain units. 

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