Abstract
Understanding how nanostructures are self-assembled into more complex forms is a crucial component of nanotechnology that shall lead towards understanding other processes and structures in nature. In this paper we use a model of self-assembly using flexible junction molecules and describe how it can in some static conditions be used to predict the outcome of a graph self-assembly. Using probabilistic methods, we show the expectation and the variance of the number of self-assembled cycles, K 3, and discuss generalization of these results for C n . We tie this analysis to previously observed experimental results.
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Jonoska, N., McColm, G.L., Staninska, A. (2006). Expectation and Variance of Self-assembled Graph Structures. In: Carbone, A., Pierce, N.A. (eds) DNA Computing. DNA 2005. Lecture Notes in Computer Science, vol 3892. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11753681_11
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DOI: https://doi.org/10.1007/11753681_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-34161-1
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