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57
Introduction Fuller’s 8 Foldable Models Seeking a Theory of Foldability Explorations to Define a Theory of Foldable Great Circle Origami
, 2008
"... In the folklore of R. Buckminster Fuller’s Synergetics, the great circle “railroad tracks ” transit “energy ” inwardly and outwardly through the center of a sphere ..."
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In the folklore of R. Buckminster Fuller’s Synergetics, the great circle “railroad tracks ” transit “energy ” inwardly and outwardly through the center of a sphere
The Foldability Landscape of Model Proteins
, 1997
"... : Molecular evolution may be considered as a walk in a multidimensional fitness landscape, where the fitness at each point is associated with features such as the function, stability, and survivability of these molecules. We present a simple model for the evolution of protein sequences on a lands ..."
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Cited by 22 (1 self)
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landscape with a precisely defined fitness function. We use simple lattice models to represent protein structures, with the ability of a protein sequence to fold into the structure with lowest energy, quantified as the foldability, representing the fitness of the sequence. The foldability of the sequence
Factors governing the foldability of proteins
 Proteins Struct. Funct. Genet
, 1996
"... We use a three dimensional lattice model of proteins to investigate systematically the global properties of the polypeptide chains that determine the folding to the native conformation starting from an ensemble of denatured conformations. In the coarse grained description, the polypeptide chain is m ..."
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Cited by 9 (1 self)
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We use a three dimensional lattice model of proteins to investigate systematically the global properties of the polypeptide chains that determine the folding to the native conformation starting from an ensemble of denatured conformations. In the coarse grained description, the polypeptide chain
SelfFoldability of Rigid Origami
"... When actuating a rigid origami mechanism by applying moments at the crease lines, we often confront the bifurcation problem where it is not possible to predict the way the model will fold when it is in a flat state. In this paper, we develop a mathematical model of selffolding and propose the conc ..."
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conditions for selffoldability that serve as tools to analyze and design selffoldable crease patterns. Using these tools, we analyze the unique selffoldability of several fundamental patterns and demonstrate the usefulness of the proposed model for mechanical design.
Recognizing Simply Foldable Origami
"... We explore the following problem: given a collection of creases on a piece of paper, each assigned a folding direction of mountain or valley, is there a flat folding by a sequence of simple folds? There are several models of simple folds; the simplest onelayer simple fold rotates a portion of paper ..."
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We explore the following problem: given a collection of creases on a piece of paper, each assigned a folding direction of mountain or valley, is there a flat folding by a sequence of simple folds? There are several models of simple folds; the simplest onelayer simple fold rotates a portion
Evolution of Model Proteins on a Foldability Landscape
 Proteins
, 1997
"... We model the evolution of simple lattice proteins as a random walk in a fitness landscape, where the fitness represents the ability of the protein to fold. At higher selective pressure, the evolutionary trajectories are confined to neutral networks where the native structure is conserved and the dyn ..."
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Cited by 26 (1 self)
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We model the evolution of simple lattice proteins as a random walk in a fitness landscape, where the fitness represents the ability of the protein to fold. At higher selective pressure, the evolutionary trajectories are confined to neutral networks where the native structure is conserved
Geometric and Structural Design of Foldable Structures
"... This paper initially investigates the previous works on foldable structures. Subsequently, generation and geometric (architectural) design of compatible foldable structures with scissorlike elements is formulated for various shapes of barrels with no geometric limitations (free forms) for the purpo ..."
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requirements is also proposed in this work. Using such ordering, one can create and model free form foldable structures. To provide changeability for geometry of the structure, a special midconnection (pivot) is proposed and a prototype model is constructed to demonstrate the efficiency. To construct real
Reply to Comment on ”Criterion that Determines the Foldability of Proteins”
, 1996
"... We point out that the correlation between folding times and σ = (Tθ − Tf)/Tθ in proteinlike heteropolymer models where Tθ and Tf are the collapse and folding transition temperatures was already established in 1993 before the other presumed equivalent criterion (folding times correlating with Tf alo ..."
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We point out that the correlation between folding times and σ = (Tθ − Tf)/Tθ in proteinlike heteropolymer models where Tθ and Tf are the collapse and folding transition temperatures was already established in 1993 before the other presumed equivalent criterion (folding times correlating with Tf
Protein Foldability and Designability: General Physics and Pretty Chemistry
, 1998
"... Making use of a simplified model for protein folding, it can be shown that conformations which are particularly stable when their energy is minimized with respect to amino acid sequence (in the sense that they display a large energy gap to the lowest structrally dissimilar conformation), aside from ..."
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Making use of a simplified model for protein folding, it can be shown that conformations which are particularly stable when their energy is minimized with respect to amino acid sequence (in the sense that they display a large energy gap to the lowest structrally dissimilar conformation), aside from
Process Variation Characterization and Modeling of Nanoparticle Interconnects for Foldable Electronics
"... Abstract — Designers require variational information for robust designs. Characterization of such information can be costly for the novel nanoparticle interconnect process, which utilize nanoparticle silver solutions. To reduce characterization cost and initiate circuit level considerations for fold ..."
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for foldable electronics, we provide nanoparticle interconnect models. We use SEM measurements to characterize nanoparticle size distribution. We conduct field solver simulations over the proposed model to obtain physicsbased process variation impact on a nanoparticle interconnect resistance. Such methodology
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