The Mathematics of Curvature

Hyde, Stephen T.; Ninham, Barry W.; Andersson, Sten; Larsson, Kåre; Landh, Tomas; Blum, Zoltan; Lidin, Sven

doi:10.1016/b978-044481538-5/50002-2

Cited by 122 publications

(192 citation statements)

References 19 publications

Supporting

Mentioning

189

Contrasting

Order By: Relevance

“…The formation of cubic phases was also found in E. coli and A. laidlawii lipid extracts, which are rich in phosphatidylethanolamine and cardiolipin as well as monoglycosylglycerol [21]–[23]. Further, there is an increasing evidence that peptides (such as viral peptides) and proteins can induce the formation of non-lamellar structures (inverted type hexagonal and cubic phases) in biological cells [1]–[4], [7], [11]–[18].…”

Section: Introductionmentioning

confidence: 89%

“…These cubic phases exhibit the lowest curvature inhomogeneity [1] and are complemented by the cubic phase with Im3m symmetry (the primitive type, C P ), which is found in various other lipid systems [49], [50] and their aqueous dispersions [40]–[42], [50]. The water channel connectivity and the surface topology of these bicontinuous cubic phases are illustrated in Figure 1.…”

Section: Introductionmentioning

confidence: 93%

“…The physicochemical properties of the bicontinuous lipid-based cubic phases and their similarity to the cubic biomembranes found in living cells have received considerable attention [1]–[10]. These self-assembled structures are vital for several biological processes inside living cells such as for protein function and membrane fusion [1]–[7], [11]–[19].…”

Section: Introductionmentioning

confidence: 99%

“…These self-assembled structures are vital for several biological processes inside living cells such as for protein function and membrane fusion [1]–[7], [11]–[19]. Putton and Carey [20] observed for first time these cubic phases during their studies on fat digestion in vitro , and later these fascinating nanostructures were discovered in various other cells [1], [6]. The formation of cubic phases was also found in E. coli and A. laidlawii lipid extracts, which are rich in phosphatidylethanolamine and cardiolipin as well as monoglycosylglycerol [21]–[23].…”

Section: Introductionmentioning

confidence: 99%

“…Among these systems, the most studied monoolein (MO)/water binary mixture forms reverse isotropic micellar solution (L 2 ), lamellar (L α ), inverted type hexagonal (H 2 ), and cubic (V 2 ) liquid crystalline phases [26]–[34]. V 2 is a three-dimensional (3-D) bicontinuous phase composed of bilayers [1], [8], [37]–[39], which separate two aqueous channel networks (the diameter of the fully swollen aqueous channel is about 40 Å). Considerable efforts have been invested also on dispersing these viscous bulk phases for the formation and the structural characterization of cubosomes and hexosomes [40]–[48].…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Tuning Curvature and Stability of Monoolein Bilayers by Designer Lipid-Like Peptide Surfactants

et al. 2007

View full text Add to dashboard Cite

This study reports the effect of loading four different charged designer lipid-like short anionic and cationic peptide surfactants on the fully hydrated monoolein (MO)-based Pn3m phase (Q224). The studied peptide surfactants comprise seven amino acid residues, namely A6D, DA6, A6K, and KA6. D (aspartic acid) bears two negative charges, K (lysine) bears one positive charge, and A (alanine) constitutes the hydrophobic tail. To elucidate the impact of these peptide surfactants, the ternary MO/peptide/water system has been investigated using small-angle X-ray scattering (SAXS), within a certain range of peptide concentrations (R≤0.2) and temperatures (25 to 70°C). We demonstrate that the bilayer curvature and the stability are modulated by: i) the peptide/lipid molar ratio, ii) the peptide molecular structure (the degree of hydrophobicity, the type of the hydrophilic amino acid, and the headgroup location), and iii) the temperature. The anionic peptide surfactants, A6D and DA6, exhibit the strongest surface activity. At low peptide concentrations (R = 0.01), the Pn3m structure is still preserved, but its lattice increases due to the strong electrostatic repulsion between the negatively charged peptide molecules, which are incorporated into the interface. This means that the anionic peptides have the effect of enlarging the water channels and thus they serve to enhance the accommodation of positively charged water-soluble active molecules in the Pn3m phase. At higher peptide concentration (R = 0.10), the lipid bilayers are destabilized and the structural transition from the Pn3m to the inverted hexagonal phase (H2) is induced. For the cationic peptides, our study illustrates how even minor modifications, such as changing the location of the headgroup (A6K vs. KA6), affects significantly the peptide's effectiveness. Only KA6 displays a propensity to promote the formation of H2, which suggests that KA6 molecules have a higher degree of incorporation in the interface than those of A6K.

show abstract

Section: Introductionmentioning

confidence: 89%

Section: Introductionmentioning

confidence: 93%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Tuning Curvature and Stability of Monoolein Bilayers by Designer Lipid-Like Peptide Surfactants

et al. 2007

View full text Add to dashboard Cite

show abstract

Decoupling Minimal Surface Metamaterial Properties Through Multi‐Material Hyperbolic Tilings

Callens

Arns

Kuliesh

et al. 2021

Adv Funct Materials

View full text Add to dashboard Cite

Rapid advances in additive manufacturing have kindled widespread interest in the rational design of metamaterials with unique properties over the past decade. However, many applications require multi-physics metamaterials, where multiple properties are simultaneously optimized. This is challenging since different properties, such as mechanical and mass transport properties, typically impose competing requirements on the nano-/micro-/ meso-architecture of metamaterials. Here, a parametric metamaterial design strategy that enables independent tuning of the effective permeability and elastic properties is proposed. Hyperbolic tiling theory is applied to devise simple templates, based on which triply periodic minimal surfaces (TPMS) are partitioned into hard and soft regions. Through computational analyses, it is demonstrated how the decoration of hard, soft, and void phases within the TPMS substantially enhances their permeability-elasticity property space and offers high tunability in the elastic properties and anisotropy at constant permeability. Also shown is that this permeability-elasticity balance is well captured using simple scaling laws. The proposed concept is demonstrated through multi-material additive manufacturing of representative specimens. The approach, which is generalizable to other designs, offers a route towards multi-physics metamaterials that need to simultaneously carry a load and enable mass transport, such as load-bearing heat exchangers or architected tissue-substituting meta-biomaterials.

show abstract

Nature‐Inspired Design and Application of Lipidic Lyotropic Liquid Crystals

et al. 2019

View full text Add to dashboard Cite

Amphiphilic lipids aggregate in aqueous solution into a variety of structural arrangements. Among the plethora of ordered structures that have been reported, many have also been observed in nature. In addition, due to their unique morphologies, the hydrophilic and hydrophobic domains, very high internal interfacial surface area, and the multitude of possible order−order transitions depending on environmental changes, very promising applications have been developed for these systems in recent years. These include crystallization in inverse bicontinuous cubic phases for membrane protein structure determination, generation of advanced materials, sustained release of bioactive molecules, and control of chemical reactions. The outstanding diverse functionalities of lyotropic liquid crystalline phases found in nature and industry are closely related to the topology, including how their nanoscopic domains are organized. This leads to notable examples of correlation between structure and macroscopic properties, which is itself central to the performance of materials in general. The physical origin of the formation of the known classes of lipidic lyotropic liquid crystalline phases, their structure, and their occurrence in nature are described, and their application in materials science and engineering, biology, medical, and pharmaceutical products, and food science and technology are exemplified. Amphiphilic LipidsThe ORCID identification number(s) for the author(s) of this article can be found under https://doi.

show abstract

The Mathematics of Curvature

Cited by 122 publications

References 19 publications

Tuning Curvature and Stability of Monoolein Bilayers by Designer Lipid-Like Peptide Surfactants

Tuning Curvature and Stability of Monoolein Bilayers by Designer Lipid-Like Peptide Surfactants

Decoupling Minimal Surface Metamaterial Properties Through Multi‐Material Hyperbolic Tilings

Nature‐Inspired Design and Application of Lipidic Lyotropic Liquid Crystals

Contact Info

Product

Resources

About