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» Modelling Self-assembly in BlenX
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CORR
2010
Springer
112views Education» more  CORR 2010»
13 years 4 months ago
Negative Interactions in Irreversible Self-Assembly
This paper explores the use of negative (i.e., repulsive) interactions in the abstract Tile Assembly Model defined by Winfree. Winfree in his Ph.D. thesis postulated negative inte...
David Doty, Lila Kari, Benoît Masson
DNA
2006
Springer
146views Bioinformatics» more  DNA 2006»
13 years 9 months ago
On Times to Compute Shapes in 2D Tile Self-assembly
We study the times to grow structures within the tile self-assembly model proposed by Winfree, and the possible shapes that can be achieved. Our earlier work was confined to the g...
Yuliy M. Baryshnikov, Edward G. Coffman Jr., Boons...
CDC
2010
IEEE
139views Control Systems» more  CDC 2010»
13 years 8 days ago
Communication, convergence, and stochastic stability in self-assembly
Existing work on programmable self assembly has focused on deterministic performance guarantees--stability of desirable states. In particular, for any acyclic target graph a binary...
Michael J. Fox, Jeff S. Shamma
SODA
2012
ACM
212views Algorithms» more  SODA 2012»
11 years 7 months ago
Parallelism and time in hierarchical self-assembly
We study the role that parallelism plays in time complexariants of Winfree’s abstract Tile Assembly Model (aTAM), a model of molecular algorithmic self-assembly. In the “hiera...
Ho-Lin Chen, David Doty