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Explore the design and self-assembly of two-dimensional DNA crystals, including DNA computation, structure, tiling theory, and applications. Discover how DNA can be utilized for biologically relevant computations and complex structures. Learn about the controllable and predictable self-assembly process and its implications in biological physics.
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Topics in Biological Physics Design and self-assembly of two-dimensional DNA crystals Benny Gil 16/12/08 Fig3.a
DNA computation • Solving computer science problems • Biologically relevant computations • Nanostructures
DNA structure • Structure • Neighboring Vs Complementary bases • Tm • Nomenclature:Bases/nucleotides: A,C,T & GStrand/Oligo/ssDNAComplementary, sticky-endMelting/Annealing/ hybridization
Tiling with DNA • Tiling theory • Motivation to work with DNA • Seeman & Winfree’s implementation: Wang tiles
Tiling implementation • Basic building block:DNA strands are entwined to form a Rigid tilewith sticky ends • Wang’s colors are represented in these sticky ends • Self assembly is controllable and predictable
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Red Grn Blu Yel 2D structures • A demonstration of striped lattice formation: PAGE analysis
2D structure images by AFM DAO-E AB lattice
2D structure images by AFM DAO-E AB lattice ˆ
Work conclusion • DNA was demonstrated to be able to tile nano-scale surfaces by self assembly • Structures architectures are predictable and robust • Decoration could facilitate applications
Further work in this direction • More complex structures were demonstrated:Seeman’s truncatedoctahedron/cubeRothemund’s smilies • Computation by self assembly
Computation by self assembly • Wang developed a method by which a tiling problem reduces the halting problem (1963), i.e. tiling is theoretically as powerful as general purpose computers • Cellular automata can be simulated by a self assembly process • Theoretical schemes were developed to solve:HPP, SAT, math calculations (including copying and counting)
Biologically relevant computation • 2 states, 2 letters finite automaton implementation (2001) • Shown to interact with biologic molecules (2004)
PAGE • Poly Acrylamide Gel Electrophoresis • DNA (negatively charged) migrate according to it’s weight (=length) • The smaller the molecule – the faster it will migrate • Autoradiogram or fluorescence scanwill reveal labeled DNA location • Denaturating gel should separate ssDNA molecules according to theirlength
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