By R. Lipowsky, E. Sackmann
The 1st quantity of the instruction manual offers with the superb global of biomembranes and lipid bilayers.Part B covers membrane adhesion, membrane fusion and the interplay of biomembranes withpolymer networks akin to the cytoskeleton. the 1st chapters of this half speak about the ordinary interactions of membranes from the conceptual perspective. the next chapters summarize the experimental paintings on various bilayer structures. the following bankruptcy offers with the method ofcontact formation, focal bounding and macroscopic contacts among cells. The cytoskeleton inside of eucaryotic cells includes a community of fairly stiff filaments of which 3 sorts of filaments were pointed out. As defined within the subsequent bankruptcy a lot has been lately realized aboutthe interplay of those filaments with the phone membrane. the ultimate chapters care for membrane fusion.
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Extra resources for Structure and Dynamics of Membranes. Generic and Specific Interactions
Sample text
It is useful to apply the same line of reasoning to 1-dimensional strings in two dimensions. In the context of condensed matter, the term string refers to a fluctuating line governed by a finite line tension or. This tension represents the work (per unit length) which is necessary in order to increase the length of the string. One example is provided by stretched (or directed) polymers. For a string segment of linear size ~ll, the roughness ~• scales as ~_t_ ~ (T/cr) l /2 ~lll/2. 5) Thus, the string behaves as a (directed) random walk where the longitudinal scale ~11 plays the role of 'time'.
R. Lipowsky 558 If the unbinding transition is continuous, the roughness ~• will grow continuously. In such a situation, both the entropy loss AFub ~ 1/~2 of the 'locally unbound' configurations and the probability 7:'2b for bound pairs must vanish in a continuous way, and Tub -- 1 - 7:'2b ~ 1 as the transition is approached. The excess free energy AF2b for bound pairs, on the other hand, arises from configurations which have a separation of the order of the potential range lv and, thus, will not depend on ~• Therefore, the unbinding transition occurs when AF2b vanishes.
10) Thus, when expressed in terms of the mean separation g, the fluctuation-induced interaction decays exponentially for large g. The amplitude of this interaction is discussed in appendix A. 4. Stretching versus bending modes So far, pure bending modes have been considered. In this case, the excess area necessary for the elastic deformation is provided by the flow within the membrane. In principle, this excess area could also be provided by stretching the membrane. Membrane stretching is governed by the modul KA of the area compressibility.