Chain of segments

The other important physical assumption is that the friction is local (hydro-dynamic interactions are screened in the melt [2]) so that D -(N /N)D with the diffusion constant in the melt of an unentangled chain of segments. Now the characteristic relaxation (Rouse) time of an entanglement segment % is just a /D. so that... 

The theory sets out to predict AGmix for the formation of polymer solutions based on lattice model. In order to place both the solvent molecules and polymer molecules onto the same pseudolattice, it becomes necessary to consider the polymer molecules to be chains of segments, each segment being equal in size to a solvent molecule. The number, a, of these segments in... 

For each pair of reads with a potential overlap, a minimum band of diagonals is determined to cover all the high-scoring chains of segment pairs between the reads using the method mentioned above. Later the computation of the overlap between the reads is carried out over the band of diagonals in the matrix. 

We can establish a correspondence between the wormlike chain and a real one by choosing the contour and persistence lengths conveniently. First, we have = nl for a real chain of segments. Second, the characteristic ratio CL is an observable property, given by the limit of hl htP- for very large n. Using Eq. [15] and the relation for the contour length, we find ... 

Long molecules that compose the cellular cytoskeleton can be treated from the standpoint of polymer mechanics where the response of the material to the application of a force is associated with changes in entropy (transition from disorder to more order). The cytoskeletal fibers are treated either as chains of segments that are completely free to move in three directions (freely joined chain model) or as flexible slender rods (worm-Hke chain model). The same approaches are appUed to ceUular components, such as the cytoskeleton, membrane, and nucleus. There is an important distinction in the models of relatively thin ceUular membranes. They are considered either as sheUs with a certain stress distribution across the thickness or as intrinsicaUy two-dimensional continua. In both cases, the mechanical parameters are spUt into two groups moduU characterizing the in-plane properties and those characterizing the out-of-plane bending and twist of the membrane. 

In addition to these collaborations, the deformation mechanisms of more commonplace polymeric materials have been visualised with mechanoluminescence. Bis(adamantyl)dioxetane was incorporated into the main chains of segmented copolymers comprising poly(tetramethylene oxide) (PTMO) soft segments with... 

In SAFT the dispersion term represents the interactions between individual segments, while in PC-SAFT the dispersion term represents the interactions of chains of segments. The expression for a derived by Gross and Sadowsld is Eq. (95), where the terms on the right-hand side are defined by Eqs. (96) and (97). 

The first stage in the development of the Flory-Huggins theory is to derive an expression for A5 when A// = 0. As for mixing of simple molecules this involves application of Equation (3.4), but this time with > 1 because each molecule in a pure amorphous polymer can adopt many different conformations (i.e. distinguishable spatial arrangements of the chain of segments). Hence, for polymer solutions... 

An approximate result has been given for a comb structure with / identical branches each of segments spaced uniformly along a backbone chain of segments... 

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