Some Comments on Shape Dynamics of Flexible Molecules

An alternative approach is the so-called spontaneous curvature model. 1 2,183 Here, the asymmetry between the two layers is taken into account as a modification on the mean curvature. In this case, the new bending energy is derived from Eq. [27] by changing H into hi + where the new 

Further improvements in modeling flexible sheet polymers must take into account the molecular connectivity within the membrane. To analyze the shapes of these structures, one discards elasticity theory and finds a more appropriate context in statistical mechanics of random surfaces. A number of approaches have been proposed. For example, the membrane may be (a) represented as a self-avoiding surface, i2.i99 and its shape characterized by asphericity and radius of gyration, i2.i99 or (b) viewed as a tethered surface with fixed internal connectivity.200-203 in case (b), nuclei are regarded as hard spheres tethered together by elastic or fluid strings, forming a net with a specified architecture. 

SOME COMMENTS ON SHAPE DYNAMICS OF FLEXIBLE MOLECULES 

The notion of struaural stability o is restriaed to the minimum energy conformations whose shape is invariant under small perturbations. These small perturbations along the dynamical (time) evolution of a single molecule can be caused by vibrations or an external bath. 

The inequality of Eq. [33] establishes an equivalence relationship for configurations based on molecular shape if Eq. [33] is satisfied along the trajectory, then all configurations K t) are equivalent to Whenever Eq. [33] is not satisfied, the system has undergone at least one shape transition along the trajectory. With the choice of a bounded shape descriptor F, (F) and CTp can serve as order parameters to follow these transitions. 

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Some Comments on Shape Dynamics of Flexible Molecules 231... 

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