1887
banner image
No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
Monte Carlo simulations of complex formation between a mixed fluid vesicle and a charged colloid
Rent:
Rent this article for
USD
10.1063/1.3191782
/content/aip/journal/jcp/131/10/10.1063/1.3191782
http://aip.metastore.ingenta.com/content/aip/journal/jcp/131/10/10.1063/1.3191782
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Bending free energy of a vesicle that partially wraps a spherical colloid of effective radius plotted as a function of the wrapping parameter . The surface area of the vesicle corresponds to a sphere of radius . The method to calculate is outlined in the Appendix. The Monte Carlo simulations of the present work all correspond to the case and .

Image of FIG. 2.
FIG. 2.

The wrapping of a colloid (radius ) by a vesicle (which, if spherical, would have a radius of ). Left: snapshots of representative colloid-vesicle configurations obtained from simulations for different numbers of charged vertices on the membrane: , , and (from left to right). The shape of the vesicle is represented by a triangulated surface; mobile charges on the vesicle and fixed charges on the colloid are indicated by dots. Right: cross sections of colloid-vesicle complexes obtained by minimizing the bending energy of the vesicle (see Appendix) for different values of the wrapping parameter .

Image of FIG. 3.
FIG. 3.

Number of vertices in the wrapping region as a function of the total number of charged vertices in the vesicle. Results from Monte Carlo simulations are marked by the symbols and , corresponding to fully unwrapped and fully wrapped initial states of the simulation run, respectively. At about a discontinuous wrapping transition occurs. The dashed line is the prediction of our phenomenological model. The inset shows the number of charged vertices in the wrapping region . All results correspond to and .

Image of FIG. 4.
FIG. 4.

Number of vertices in the wrapping region as a function of the total number of charged vertices in the vesicle. Results from Monte Carlo simulations are marked by the symbols (connected by dashed lines) and (connected by dotted lines), corresponding to fully unwrapped and fully wrapped initial states of the simulation run, respectively. The two minimum states predicted by the phenomenological model are marked by the solid line and the dashed curve for the full and weak wrapping regimes, respectively. The inset shows the corresponding free energy . At (see the vertical dotted line in the main figure) both states have the same free energy. All results correspond to and .

Image of FIG. 5.
FIG. 5.

Number of vertices in the wrapping region as a function of the total number of charged vertices in the vesicle. Results from Monte Carlo simulations are shown together with the prediction (dashed line) from the phenomenological model. The inset displays a representative colloid-vesicle complex corresponding to . All results correspond to and .

Image of FIG. 6.
FIG. 6.

The number of charged vertices required to induce a discontinuous wrapping transition as a function of the bending stiffness . Data points from our simulations are connected by straight lines. The inset shows the free energy corresponding to points A (for ), B (for ), and C (for ); is a reference energy and is the probability to find vertices within the wrapping region. We have measured that probability from our simulations. Note that our computational results for indicate a critical point at about . No critical point is predicted by our phenomenological model (dashed line). All results are derived from the Debye length .

Image of FIG. 7.
FIG. 7.

Simulation results for the number of vertices in the wrapping region as a function of the total number of charged vertices in the vesicle. The two data sets ▲ and ▼ correspond to the two spontaneous curvatures and of a fully charged vesicle segment. Results for the absence of composition-curvature coupling marked by and are replotted from Fig. 3. A representative colloid-vesicle complex for and is also shown. All results correspond to and .

Image of FIG. 8.
FIG. 8.

Shape of a rotationally symmetric vesicle that partially wraps a spherical colloid of radius . The arc length and the functions (distance from the axis of symmetry) and (angle between the vesicle normal and the axis of symmetry) are indicated. The optimal shape is calculated as outlined in the Appendix.

Loading

Article metrics loading...

/content/aip/journal/jcp/131/10/10.1063/1.3191782
2009-09-10
2014-04-23
Loading

Full text loading...

This is a required field
Please enter a valid email address
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Monte Carlo simulations of complex formation between a mixed fluid vesicle and a charged colloid
http://aip.metastore.ingenta.com/content/aip/journal/jcp/131/10/10.1063/1.3191782
10.1063/1.3191782
SEARCH_EXPAND_ITEM