Abstract
We outline an algebraic model for describing complex structures obtained through self-assembly of molecular building blocks and show that, with this model, the assembled structure can be associated to a language and it can be determined up to congruence.
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References
Abelson, H., deSessa, A.A.: Turtle Geometry: The Computer as a Medium for Exploring Mathematics. MIT Press, Cambridge (1980)
Cambridge Structural Database, Cambridge Crystallographic Data Centre, http://www.ccdc.cam.ac.uk/
Chen, H-I., Goel, A.: Error-free assembly using error-prone tiles. In: Ferretti, C., Mauri, G., Zandron, C. (eds.) DNA Computing. LNCS, vol. 3384, pp. 62–75. Springer, Heidelberg (2005)
Foster, M.D., Treacy, M.M.J., Higgins, J.B., Rivin, I., Balkovsky, E., Randall, K.H.: A systematic topological search for the framework of ZSM-10. J. Appl. Crystallography 38, 1028–1030 (2005), http://www.hypotheticalzeolites.net/
Jonoska, N., McColm, G.L.: Flexible versus Rigid Tile Assembly. In: Calude, C.S., Dinneen, M.J., Păun, G., Rozenberg, G., Stepney, S. (eds.) UC 2006. LNCS, vol. 4135, pp. 139–151. Springer, Heidelberg (2006)
Kuipers, J.B.: Quaternions and Rotation Sequences: A Primer with Applications to Orbits, Aerospace, and Virtual Reality. Princeton U. Press, Princeton (1999)
Twarock, R.: A tiling approach to virus capsid assembly explaining a structural puzzle in virology. J. Theor. Biol. 226, 477–482 (2004)
Winfree, E.: Algorithmic Self-assembly of DNA, PhD Thesis, CalTech (1998)
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Jonoska, N., McColm, G.L. (2008). Describing Self-assembly of Nanostructures. In: Geffert, V., Karhumäki, J., Bertoni, A., Preneel, B., Návrat, P., Bieliková, M. (eds) SOFSEM 2008: Theory and Practice of Computer Science. SOFSEM 2008. Lecture Notes in Computer Science, vol 4910. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77566-9_6
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DOI: https://doi.org/10.1007/978-3-540-77566-9_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-77565-2
Online ISBN: 978-3-540-77566-9
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