geoscience.net logo
+ Resolve Article
+ Follow Us
Follow on FacebookFollow on Facebook
Follow on TwitterFollow on Twitter

+ Translate
+ Subscribe to Site Feed
GeoScience Most Shared ContentMost Shared Content

Heterogeneous vesicles: an analytical approach to equilibrium shapes


, : Heterogeneous vesicles: an analytical approach to equilibrium shapes. Soft Matter 11(46): 8920-8929

We develop an analytical model to predict equilibrium shapes of two-component heterogeneous vesicles or capsules. Using a free energy functional including the bending energies of the two components and line tension contributions, the model describes shape transitions between spherical and polyhedral (faceted) states, complementing and extending results of previous numerical simulations. In the parameter space of relative area fraction, bending modulus ratio, and line tension, a region of polyhedral shapes occurs for weak line tension and large bending modulus ratio and is very robust towards changes in the modeling assumptions. At large enough line tension, the spherical shape fragments into two components. Within the polyhedral region, we compare the energies of all regular and semiregular polyhedra, as well as those of arbitrary prismatic shapes. We find that the largest bending modulus contrasts together with larger line tension favor polyhedra with small face number as optimal shapes. In this region, we also demonstrate the counter-intuitive result that the most symmetric polyhedra are not energetically optimal, with specific Archimedean solids and specific prismatic shapes beating more isotropic (e.g. Platonic) polyhedra. Furthermore, all polyhedra of lowest energy are found to be three-fold coordinated. The shape transition boundary for polyhedra can be computed analytically. The model can be utilized to predict heterogeneous vesicle shapes and to estimate physical properties of the components constituting observed vesicles.

US$19.90

PMID: 26482343

DOI: 10.1039/c5sm02245b


Other references

Togawa, T.; Okai, O.; Oshima, M., 1967: Observation of blood flow E.M.F. in externally applied strong magnetic field by surface electrodes. Medical & Biological Engineering 5(2): 169-170

Kelley, A.T.; Lawrence, G.W.; Vickery, J.; King, R.; Lee, H.K.ung, 2003: Detection and population estimation of the reniform nematode on cotton using hyperspectral remotely sensed data. The reniform nematode ( Rotylenchulus reniformis, Linford and Oliveira 1940 ) is one of the most prevalent nematodes on cotton (Gossypium hirsutum L.). This nematode inhibits cotton plant development resulting in reduced plant growth and sometimes...

Andrews G.A., 1981: Revision of the diatom genus Delphineis and morphology of Delphineis surirella (Ehrenberg) G. W. Andrews, n. comb. Pages 81-92 1981

Dembri, A.; Montisci, M.J.anne; Gantier, J.C.arles; Chacun, H.; Ponchel, G., 2001: Targeting of 3-azido 3-deoxythymidine -loaded poly nanospheres to the gastrointestinal mucosa and associated lymphoid tissues. Purpose. The aim of the study was to evaluate the capacity of poly(-isohexylcyanoacrylate) nanospheres to concentrate 3'-azido 3'-deoxythymidine (AZT) in the intestinal epithelium and associated immunocompetent cells, which are known to...

Sjostrom K.E.; Chen K.C.S.; Kenny G.E., 1985: Relationship between the arginine dihydrolase pathway and polyamine synthesis in mycoplasma species. Abstracts of the Annual Meeting of the American Society for Microbiology 85: 92

Anonymous, 1995: Ammonia and methanol co-production. International methanol market developments have led to the conversion of ammonia production to methanol or methanol co-production. Options for co-producing methanol at ammonia plants or for converting ammonia plants into methanol production units...

Reilly, G.C.; Golden, E.B.; Grasso-Knight, G.; Leboy, P.S., 2005: Differential effects of ERK and p38 signaling in BMP-2 stimulated hypertrophy of cultured chick sternal chondrocytes. BACKGROUND: During endochondral bone formation, the hypertrophy of chondrocytes is accompanied by selective expression of several genes including type X collagen and alkaline phosphatase. This expression is stimulated by inducers including BMPs an...

Boye, E.; Mollet, G.; Forestier, L.; Cohen-Solal, L.; Heidet, L.; Cochat, P.; Grünfeld, J.P.; Palcoux, J.B.; Gubler, M.C.; Antignac, C., 1998: Determination of the genomic structure of the COL4A4 gene and of novel mutations causing autosomal recessive Alport syndrome. Autosomal recessive Alport syndrome is a progressive hematuric glomerulonephritis characterized by glomerular basement membrane abnormalities and associated with mutations in either the COL4A3 or the COL4A4 gene, which encode the alpha3 and alpha4...

Sunkara, V.; Hébert, J.R., 2016: The application of the mortality-to-incidence ratio for the evaluation of cancer care disparities globally. Cancer 122(3): 487-488

Brown G., 1992: Vietnamese ruby: a discriminatory problem for gemmologists. The Australian Gemmologist 18(2): 43-46