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Equilibrium polymerization models of re-entrant self-assembly
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10.1063/1.3118671
/content/aip/journal/jcp/130/16/10.1063/1.3118671
http://aip.metastore.ingenta.com/content/aip/journal/jcp/130/16/10.1063/1.3118671
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

(a) Typical phase separation boundaries (coexistence curves) for binary mixtures that phase separate upon cooling (bottom UCST curve) or upon heating (top LCST curve). is the absolute temperature, and is the volume fraction of one component. Critical points are denoted by crosses. (b) Typical self-assembly transition lines for self-assembly on cooling (bottom curve) and on heating (top curve). is the polymerization temperature, and is the initial volume fraction of the assembling species. The nonassembling solvent is a second component.

Image of FIG. 2.
FIG. 2.

(a) Representative closed loop phase boundary (coexistence curve) for a 2,4-lutidine-water binary mixture. The coexistence curve supports two critical points, which are indicated by crosses. Data taken from Wang et al. (Ref. 30). The original source of these data is Ref. 31. (b) Transition lines for thermally reversible gelation of aqueous solutions of diblock copolymers. Data taken from Bae et al. (Ref. 10). (c) The extent of assembly as a function of temperature for actin in a buffer at a fixed initial concentration of G-actin and of KCl (16 nM). Experimental data are taken from Matthews et al. (Ref. 8).

Image of FIG. 3.
FIG. 3.

The extent of assembly [Fig. 3(a)] and the average degree of polymerization [Fig. 3(b)] as a function of temperature for the model activated equilibrium assembly system in which activation and self-assembly are both promoted by cooling. All curves correspond to fixed initial monomer concentration , constant enthalpy of assembly , fixed entropies of activation and assembly (, , i.e., ), but a different enthalpy of activation , i.e., different ratios .

Image of FIG. 4.
FIG. 4.

The order parameter for self-assembly [Fig. 4(a)] and the average cluster size [Fig. 4(b)] as a function of temperature for the model activated equilibrium assembly system for which activation and assembly both proceed upon cooling. All curves correspond to specified initial concentration , entropy of assembly , enthalpies of activation and assembly (, , i.e., ), but variable entropy of activation , i.e., different ratios ).

Image of FIG. 5.
FIG. 5.

The temperature variation of the extent of self-assembly [Fig. 5(a)] and the average cluster size [Fig. 5(b)] for one of the model systems considered in Figs. 4(a) and 4(b) (, and ). Curves are labeled by the initial monomer concentration .

Image of FIG. 6.
FIG. 6.

The specific heat [Fig. 6(a)] and the concentration of activated and non-activated monomers [Fig. 6(b)] as functions of temperature for one of the model systems considered in Figs. 4(a) and 4(b) (, and ). Curves are labeled by the initial monomer concentration .

Image of FIG. 7.
FIG. 7.

The self-assembly transition temperature as a function of for the model system from Figs. 5 and 6 (, and ).

Image of FIG. 8.
FIG. 8.

The order parameters for assembly [Fig. 8(a)] and the average cluster size [Fig. 8(b)] as a function of temperature for the model activated equilibrium self-associating system for which both activation and assembly are both promoted by heating (, , , , , ). Curves are labeled by the initial monomer concentrations .

Image of FIG. 9.
FIG. 9.

The specific heat [Fig. 9(a)] and the concentration of activated and non-activated monomers [Fig. 9(b)] as a function of temperature for the model system analyzed in Figs. 8(a) and 8(b). Initial monomer concentrations are specified for each curve.

Image of FIG. 10.
FIG. 10.

The self-assembly transition temperature as a function of for the model system described in Figs. 8 and 9.

Image of FIG. 11.
FIG. 11.

The extent of self-assembly on the surface as a function of temperature for the model self-assembling system in which monomer adsorption is promoted by cooling (, ] and self-assembly (on the surface and in solution) is enhanced by heating [, , , ). Initial monomer concentration is designated for each curve.

Image of FIG. 12.
FIG. 12.

The self-assembly temperature as a function of for the model system analyzed in Fig. 11.

Image of FIG. 13.
FIG. 13.

The temperature for which the average cluster size is constant as a function of for the activated assembly systems described in Figs. 8–10. Curves are labeled by the value of .

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/content/aip/journal/jcp/130/16/10.1063/1.3118671
2009-04-24
2014-04-21
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Equilibrium polymerization models of re-entrant self-assembly
http://aip.metastore.ingenta.com/content/aip/journal/jcp/130/16/10.1063/1.3118671
10.1063/1.3118671
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