Self-Limited Self-Assembly of Chiral Filaments

Yang, Yasheng; Meyer, Robert B.; Hagan, Michael F.

doi:10.1103/physrevlett.104.258102

Cited by 58 publications

(62 citation statements)

References 30 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…When the inter-SP repulsion is directional in nature so that the growth of the SPs is limited in specific directions, it is expected that the resulting assemblies will be anisotropic in shape (4,7,9,16,24,36,48). For instance, the finite-sized bundles formed by rod-like polyelectrolytes (7,9,16) may result from the lateral repulsion between bundles increasing with their cross-section diameter.…”

Section: Discussionmentioning

confidence: 99%

“…An enormous body of theoretical studies that followed has been successful in characterizing the thermodynamic stability of finite-sized aggregates in various systems such as polyelectrolytes (5,7,11,(15)(16)(17)(18)(19), colloidal suspensions (20)(21)(22)(23)(24), and block copolymer and protein solutions (4,8,(25)(26)(27)(28)(29)(30). The optimal size of the assembled clusters is often attributed to the balance of short-ranged attraction and longer-ranged repulsion between the primary building blocks.…”

mentioning

confidence: 99%

See 1 more Smart Citation

Generic, phenomenological, on-the-fly renormalized repulsion model for self-limited organization of terminal supraparticle assemblies

Nguyen

Schultz

Kotov

et al. 2015

Proc. Natl. Acad. Sci. U.S.A.

View full text Add to dashboard Cite

Self-limited, or terminal, supraparticles have long received great interest because of their abundance in biological systems (DNA bundles and virus capsids) and their potential use in a host of applications ranging from photonics and catalysis to encapsulation for drug delivery. Moreover, soft, uniform colloidal aggregates are a promising candidate for quasicrystal and other hierarchical assemblies. In this work, we present a generic coarse-grained model that captures the formation of self-limited assemblies observed in various soft-matter systems including nanoparticles, colloids, and polyelectrolytes. Using molecular dynamics simulations, we demonstrate that the assembly process is self-limited when the repulsion between the particles is renormalized to balance their attraction during aggregation. The uniform finite-sized aggregates are further shown to be thermodynamically stable and tunable with a single dimensionless parameter. We find large aggregates self-organize internally into a core-shell morphology and exhibit anomalous uniformity when the constituent nanoparticles have a polydisperse size distribution.self-assembly | terminal assemblies | self-limited aggregation T he spontaneous formation of uniformly sized aggregates observed in inorganic, biological, and colloidal systems (1-14) is of both fundamental and practical interest. Their formation suggests that a generic mechanism is applicable to those chemically distinct systems, whereas their ability to serve as building blocks for engineering nanostructures at larger length scales is of practical interest. Examples of uniform aggregates include filaments, bundles, and toroids with uniform diameters formed by macromolecules (6-9), and regular domains by like-charged macroions on planar and cylindrical surfaces (5, 11). In a recent study, we observed the assembly of positively charged polydisperse CdSe, PbS, and PbSe nanoparticles (NPs) into monodisperse supraparticles (SPs), which form colloidal crystals at sufficiently high density (12). Spherical SPs with uniform size were also obtained from the assembly of similarly charged protein molecules (cytochrome C) and CdTe nanoparticles (13). It was also demonstrated that SPs can serve as a versatile tool to make nanoscale assemblies with unusual spiky shapes and form several constitutive blocks (14). The fact that the characteristic dimensions of these assemblies is highly uniform over a wide range of monomer concentration suggests that their formation from monomer aggregation is thermodynamically selflimited rather than kinetically arrested.Seminal theoretical studies of uniformly sized aggregates date back to the 1980s, and primarily focused on developing models of aggregation in reactive systems (1-3). An enormous body of theoretical studies that followed has been successful in characterizing the thermodynamic stability of finite-sized aggregates in various systems such as polyelectrolytes (5,7,11,(15)(16)(17)(18)(19), colloidal suspensions (20-24), and block copolymer and protein solutions (4,8,(25)(...

show abstract

Section: Discussionmentioning

confidence: 99%

mentioning

confidence: 99%

Generic, phenomenological, on-the-fly renormalized repulsion model for self-limited organization of terminal supraparticle assemblies

Nguyen

Schultz

Kotov

et al. 2015

Proc. Natl. Acad. Sci. U.S.A.

View full text Add to dashboard Cite

show abstract

“…It is convenient to compare N 4 (n) ss with N gs 4 (n), which is the number of four-bonded particles in a cluster of size n that minimises the cluster energy. We then define (6) to measure the deviation of the cluster "quality" from its ground state value, normalised by the cluster size n.…”

Section: A Cluster Equilibration In the Lattice Gas Modelmentioning

confidence: 99%

Mechanisms of kinetic trapping in self-assembly and phase transformation

Hagan

Elrad

Jack

2011

The Journal of Chemical Physics

Self Cite

113

152

View full text Add to dashboard Cite

In self-assembly processes, kinetic trapping effects often hinder the formation of thermodynamically stable ordered states. In a model of viral capsid assembly and in the phase transformation of a lattice gas, we show how simulations in a self-assembling steady state can be used to identify two distinct mechanisms of kinetic trapping. We argue that one of these mechanisms can be adequately captured by kinetic rate equations, while the other involves a breakdown of theories that rely on cluster size as a reaction coordinate. We discuss how these observations might be useful in designing and optimising self-assembly reactions.

show abstract

“…-We consider a filament consisting of N rigid PFs in a tube-like arrangement such that each PF has two neighbors and periodic boundary conditions apply. For actin bundles, this model neglects effects from thermal shape fluctuations [18] and the existence of defects within the bundle structure [19][20][21]. Each PF consists of monomers of size d, see fig.…”

mentioning

confidence: 99%

Stall force of polymerizing microtubules and filament bundles

Krawczyk

Kierfeld

2011

EPL

View full text Add to dashboard Cite

Abstract. -We investigate stall force and polymerization kinetics of rigid protofilaments in a microtubule or interacting filaments in bundles under an external load force in the framework of a discrete growth model. We introduce the concecpt of polymerization cycles to describe the stochastic growth kinetics, which allows us to derive an exact expression for the stall force. We find that the stall force is independent of ensemble geometry and load distribution. Furthermore, the stall force is proportional to the number of filaments and increases linearly with the strength of lateral filament interactions. These results are corroborated by simulations, which also show a strong influence of ensemble geometry on growth kinetics below the stall force.

show abstract

Self-Limited Self-Assembly of Chiral Filaments

Cited by 58 publications

References 30 publications

Generic, phenomenological, on-the-fly renormalized repulsion model for self-limited organization of terminal supraparticle assemblies

Generic, phenomenological, on-the-fly renormalized repulsion model for self-limited organization of terminal supraparticle assemblies

Mechanisms of kinetic trapping in self-assembly and phase transformation

Stall force of polymerizing microtubules and filament bundles

Contact Info

Product

Resources

About