caa a22 4500 445842822 CHVBK 20180317145350.0 cr unu---uuuuu 170323e20110901xx s 000 0 eng 10.1007/s11047-009-9169-1 doi (NATIONALLICENCE)springer-10.1007/s11047-009-9169-1 On stoichiometry for the assembly of flexible tile DNA complexes [Elektronische Daten] [N. Jonoska, G. McColm, A. Staninska] Given a set of flexible branched junction DNA molecules with sticky-ends (building blocks), called here "tiles”, we consider the problem of determining the proper stoichiometry such that all sticky-ends could end up connected. In general, the stoichiometry is not uniform, and the goal is to determine the proper proportion (spectrum) of each type of molecule within a test tube to allow for complete assembly. According to possible components that assemble in complete complexes we partition multisets of tiles, called here "pots”, into classes: unsatisfiable, weakly satisfiable, satisfiable and strongly satisfiable. This classification is characterized through the spectrum of the pot, and it can be computed in PTIME using the standard Gauss-Jordan elimination method. We also give a geometric description of the spectrum as a convex hull within the unit cube. Springer Science+Business Media B.V., 2010 Complex assembly nationallicence Flexible DNA tile assembly nationallicence Graphical representation of tile structures nationallicence Solution spaces of DNA computation problems nationallicence Stoichiometry of test tube nationallicence Jonoska N. Department of Mathematics & Statistics, University of South Florida, 33620, Tampa, FL, USA aut McColm G. Department of Mathematics & Statistics, University of South Florida, 33620, Tampa, FL, USA aut Staninska A. Institute of Biomathematics and Biometry Helmholtz Zentrum München, Ingolstädter Landstraße 1, 85764, Neuherberg, Germany aut Natural Computing Springer Netherlands 10/3(2011-09-01), 1121-1141 1567-7818 10:3<1121 2011 10 11047 https://doi.org/10.1007/s11047-009-9169-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11047-009-9169-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Jonoska N. Department of Mathematics & Statistics, University of South Florida, 33620, Tampa, FL, USA aut NATIONALLICENCE 700 1- McColm G. Department of Mathematics & Statistics, University of South Florida, 33620, Tampa, FL, USA aut NATIONALLICENCE 700 1- Staninska A. Institute of Biomathematics and Biometry Helmholtz Zentrum München, Ingolstädter Landstraße 1, 85764, Neuherberg, Germany aut NATIONALLICENCE 773 0- Natural Computing Springer Netherlands 10/3(2011-09-01), 1121-1141 1567-7818 10:3<1121 2011 10 11047 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer