As natural computing is concernedwith information processing taking place in or inspired by nature, the ideascoming from basic interactions between atoms and molecules naturally becomepa
Trang 1Series Editors: G Rozenberg
Th Bäck A.E Eiben J.N Kok H.P Spaink
Leiden Center for Natural Computing
Advisory Board: S Amari G Brassard K.A De Jong
C.C.A.M Gielen T Head L Kari L Landweber T Martinetz
Z Michalewicz M.C Mozer E Oja Gh Paun J Reif H Rubin
A Salomaa M Schoenauer H.-P Schwefel C Torras
D Whitley E Winfree J.M Zurada
°
Natural Computing Series
N
Trang 2Junghuei Chen · Nataša Jonoska
Grzegorz Rozenberg (Eds.)
123
Nanotechnology: Science and
Computation
With 126 Figures and 10 Tables
Trang 3Library of Congress Control Number: 2005936799
ACM Computing Classification (1998): F.1, G.2.3, I.1, I.2, I.6, J.3
ISBN-10 3-540-30295-6 Springer Berlin Heidelberg New York
ISBN-13 978-3-540-30295-7 Springer Berlin Heidelberg New York
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A.E Eiben Vrije Universiteit Amsterdam The Netherlands
Trang 4This book is dedicated to Nadrian C Seeman
on the occasion of his 60th birthday
Trang 5This image was created by DADARA
Trang 6Nanotechnology is slowly and steadily entering more and more aspects of ourlife It is becoming a base for developing new materials as well as a base fordeveloping novel methods of computing As natural computing is concernedwith information processing taking place in or inspired by nature, the ideascoming from basic interactions between atoms and molecules naturally becomepart of these novel ways of computing
While nanotechnology and nanoengineering have flourished in recent years,the roots of DNA nanotechnology go back to the pioneering work of Nadrian(Ned) C Seeman in the 1980s Many of the original designs and constructions
of nanoscale structures from DNA developed in Ned’s lab provided a pletely new way of looking at this molecule of life Starting with the synthesis
com-of the first immobile Holliday junction, now referred to as J1, through thedouble and triple cross-over molecules, Ned has shown that DNA is a pow-erful and versatile molecule which is ideal for building complex structures atthe nanometer scale
Through the years, Ned has used some of the basic DNA motif tures as ‘tinkertoy’ or ‘lego’ units to build a cube, two-dimensional arrays,and various three-dimensional structures, such as Borromean rings, nanome-chanical devices, nano-walkers (robots), etc All of them were designed anddemonstrated originally in Ned’s lab, but then all these ideas and designs werefollowed up by many other researchers around the world
struc-Adleman’s seminal paper from 1994 provided a proof of principle thatcomputing at a molecular level, with DNA, is possible This led to a realexplosion of research on molecular computing, and very quickly Ned’s ideasconcerning the design and construction of nanoscale structures from DNAhad a profound influence on the development of both the theoretical and theexperimental foundations of this research area
Ned is a scientist and a chemist in the first place Although Ned can
be considered the founder of the DNA nanoengineering field, he has alwaysconsidered himself as a chemist who is interested in basic science Therefore,
he is still very interested in the basic physical properties of DNA and enzymes
Trang 7VIII Preface
that interact with nucleic acids Ned has been continuously funded by NIH foralmost 30 years and is still providing valuable insights into the DNA and RNAbiophysical and topological properties as well as the mechanism of homologousrecombination between two chromosomal DNAs
Ned’s enormous influence extends also to service to the scientific munity Here one has to mention that Ned is the founding president of theInternational Society for Nanoscale Science, Computation and Engineering(ISNSCE) The respect that Ned enjoys is also manifested through varioushonors and awards that he has received — among others the Feynman Prize
com-in Nanotechnology and the Tulip Award com-in DNA Computcom-ing
Besides science, Ned is very much interested in the world around him, e.g.,
in art Amazingly, some of this interest has also influenced his scientific work:
by studying the work of Escher he got some specific ideas for constructions ofDNA-based nanostructures! Ned is an excellent lecturer and has given talksaround the world, thereby instigating significant interest and research in DNAnanotechnology and computing
With this volume, which presents many aspects of research in basic ence, application, theory and computing with DNA molecules, we celebrate ascientist who has been a source of inspiration to many researchers all over theworld, and to us a mentor, a scientific collaborator, and a dear friend
Nataˇsa JonoskaGrzegorz Rozenberg
Trang 8Part I DNA Nanotechnology – Algorithmic Self-assembly
Scaffolded DNA Origami: from Generalized Multicrossovers
to Polygonal Networks
Paul W.K Rothemund 3
A Fresh Look at DNA Nanotechnology
Zhaoxiang Deng, Yi Chen, Ye Tian, Chengde Mao 23
DNA Nanotechnology: an Evolving Field
Hao Yan, Yan Liu 35
Self-healing Tile Sets
Erik Winfree 55
Compact Error-Resilient Computational DNA Tilings
John H Reif, Sudheer Sahu, Peng Yin 79
Forbidding −Enforcing Conditions in DNA Self-assembly of
Graphs
Giuditta Franco, Nataˇsa Jonoska 105
Part II Codes for DNA Nanotechnology
Finding MFE Structures Formed by Nucleic Acid Strands in
a Combinatorial Set
Mirela Andronescu, Anne Condon 121
Involution Solid Codes
Lila Kari, Kalpana Mahalingam 137
Trang 9Part III DNA Nanodevices
DNA-Based Motor Work at Bell Laboratories
Bernard Yurke 165
Nanoscale Molecular Transport by Synthetic DNA Machines1
Jong-Shik Shin, Niles A Pierce 175
Part IV Electronics, Nanowire and DNA
A Supramolecular Approach to Metal Array Programming
Using Artificial DNA
Mitsuhiko Shionoya 191
Multicomponent Assemblies Including Long DNA and
Nanoparticles – An Answer for the Integration Problem?
Andreas Wolff, Andrea Csaki, Wolfgang Fritzsche 199
Molecular Electronics: from Physics to Computing
Yongqiang Xue, Mark A Ratner 215
Part V Other Bio-molecules in Self-assembly
Towards an Increase of the Hierarchy in the Construction
of DNA-Based Nanostructures Through the Integration of
Inorganic Materials
Bruno Samor`ı, Giampaolo Zuccheri, Anita Scipioni, Pasquale De Santis 249
Adding Functionality to DNA Arrays: the Development of
Semisynthetic DNA–Protein Conjugates
Christof M Niemeyer 261
Bacterial Surface Layer Proteins: a Simple but Versatile
Biological Self-assembly System in Nature
Dietmar Pum, Margit S´ara, Bernhard Schuster, Uwe B Sleytr 277
Chem Soc 2004, 126, 10834–10835 Copyright 2004 American Chemical Society.
Trang 10Contents XI
Part VI Biomolecular Computational Models
Computing with Hairpins and Secondary Structures of DNA
Masami Hagiya, Satsuki Yaegashi, Keiichiro Takahashi 293
Bottom-up Approach to Complex Molecular Behavior
Milan N Stojanovic 309
Aqueous Computing: Writing on Molecules Dissolved in
Water
Tom Head, Susannah Gal 321
Part VII Computations Inspired by Cells
Turing Machines with Cells on the Tape
Francesco Bernardini, Marian Gheorghe, Natalio Krasnogor, GheorgheP˘aun 335
Insights into a Biological Computer: Detangling Scrambled
Genes in Ciliates
Andre R.O Cavalcanti, Laura F Landweber 349
Modelling Simple Operations for Gene Assembly
Tero Harju, Ion Petre, Grzegorz Rozenberg 361
Part VIII Appendix
Publications by Nadrian C Seeman
377
Trang 11Part I
DNA Nanotechnology – Algorithmic
Self-assembly
Trang 12Scaffolded DNA Origami: from Generalized Multicrossovers to Polygonal Networks
Ned’s DNA sculptures did turn out to have a relationship to tion In 1994, Len Adleman’s creation of a DNA computer [1] showed thatlinear DNA self-assembly, together with operations such as PCR, could tackleNP-complete computational problems Excited by this result, Erik Winfreequickly forged an amazing link that showed how the self-assembly of geo-metrical DNA objects, alone, can perform universal computation [21] Thedemonstration and exploration of this link have kept a small gaggle of com-puter scientists and mathematicians tangled up with Ned and his academicchildren for the last decade At an intellectual level, the technical achieve-ments of the resulting collaborations and interactions have been significant,among them the first two-dimensional DNA crystals [22] and algorithmic self-assembly of both linear [7] and two-dimensional [10] arrays By various otherpaths, a number of physicists have joined the party, mixing their own ideaswith Ned’s paradigm of “DNA as Tinkertoys” to create nanomechanical sys-tems such as DNA tweezers [26] and walkers [25, 17, 20] DNA nanotechnologyhas taken on a life of its own since Ned’s original vision of DNA fish flying
computa-in an extended Escherian lattice [14], and we look forward to a new “DNAworld” in which an all-DNA “bacterium” wriggles, reproduces, and computes
On a personal level, I and many others have gotten to find out exactlywhat kind of twisted genius Ned is Ned is a singular character He is atonce gruff and caring, vulgar and articulate, stubborn and visionary Ned
is generous both with his knowledge of DNA and his knowledge of life His
Trang 134 P.W.K Rothemund
life’s philosophy includes a strong tension between the abysmally negative(the general state of the world) and the just tolerably positive (that whichone can, with great effort, hope to achieve) To paraphrase and to whitewash,
“In a world full of execrable excrescences, there is always a fetid coprostasis
of an idea to make your own.” Once one is correctly calibrated to Ned, thissuperficially gloomy counsel becomes positively bright and Ned’s success withDNA nanotechnology serves as an example for the young scientist In fact,Ned’s education of young scientists reveals a latent optimism As an advisorNed plots a strategic course, giving graduate students projects with risks andpayoffs calculated to help them succeed at every stage — from confidencebuilders in their first years to high-risk/high-gain projects in later years.Ned’s own relationship with science is equally telling of his character He ishealthily (and vocally) paranoid about Nature’s determination to screw up hisexperiments To combat this, he practices a capricious paganism, frequentlyswitching between gods in the hope that one will answer his prayers for ahighly-ordered three-dimensional DNA crystal (A habit which he attemptedunsuccessfully to break when he abandoned crystallography.) Such supersti-tion is tongue-in-cheek, however, and Ned is one of the most careful scientiststhat I know He is ever-mindful that, as Peter Medawar wrote, “research issurely the art of the soluble” and, while his highly imaginative research isconstructive and nonreductionist in its goals, Ned makes sure that it rests onfalsifiable Popperian bedrock
In celebration of Ned the character, as well as the box of Tinkertoys andLegos that he has created, I cover two topics First, I review the recent gener-alization of Ned’s geometry of parallel crossovers to the creation of arbitraryshapes and patterns via a method called scaffolded DNA origami I give anexample pattern with roughly 200 pixels spaced 6 nm apart Second, I propose
a new method for using scaffolded DNA origami to make arbitrary nal networks, both two-dimensional planar stick figures and three-dimensionalpolyhedra
polygo-1 Scaffolded DNA Origami for Parallel Multicrossovers
Fig 1a,b show one of the most successful of Ned’s noncanonical DNA motifs,
a “double-crossover” molecule [4] fashioned from two parallel double helicaldomains that comprise four distinct strands of DNA Each DNA strand windsalong one helix for a number of bases before switching to the other helix bypassing through a structure called a “crossover” (small black triangles) Be-cause strands reverse direction at the crossovers, the crossovers are termed
“antiparallel” It is the juxtaposition of two crossovers that holds the helices
in their parallel arrangement (isolated crossovers assume an equilibrium gle of roughly 60◦), and it is their juxtaposition that also holds the helices
an-rigidly together (isolated crossovers are floppy) These properties allow doublecrossovers to assemble into large extended lattices [22], and nanotubes [12]
Trang 14Scaffolded DNA Origami 5
C T G A
C A G
C G C C
T
T T T
T T T T
single-stranded origami
c
G A C T G
C T G A C
C A G T
C C G C C C
A G T
G G C T T
C C G A A
C C
G G C G
G G C
T A
A T
2<GATGGCGT CCGTTTAC AGTCGAGG ACGGATCG>3
1>TCACTCTACCGCA GGCAAATG TCAGCTCC TGCCTAGCTCACT<4
1<TAGAGGTAAGACC TGCGGTAT AGATAGCA GGCTACTGGAGAT>4
2>CATTCTGG ACGCCATA TCTATCGT CCGATGAC<3
1
4
Fig 1 Double-crossover molecules, and flavors of DNA design.
The idea of holding helical domains in a parallel arrangement via thejuxtaposition of antiparallel crossovers has become a general principle in DNAnanotechnology, used in at least a dozen constructions For example, it hasbeen extended to molecules with three parallel helices [6], and it has beenused to attach triangles rigidly to a nanomechanical device [23]
A key question is how to create generalized multicrossover molecules withparallel helices To answer this question, it is necessary to understand theadvantages and disadvantages of different approaches Within the DNA nan-otechnology paradigm, designs may be classified by how they are built upfrom component strands, being (1) composed entirely of short oligonucleotidestrands as in Fig 1c, (2) composed of one long “scaffold strand” (black) andnumerous short “helper strands” (colored) as in Fig 1d, or (3) composed
of one long strand and few or no helpers as in Fig 1e Here these designapproaches are termed “multistranded”, “scaffolded”, and “single-stranded”,respectively The last two are termed “DNA origami” because a single longstrand is folded, whether by many helpers or by self-interactions
Multistranded designs (such as Ned’s original cube) suffer from the ficulty of getting the ratios of the component short strands exactly equal Ifthere are not equal proportions of the various component strands, then in-complete structures form and purification may be required Because, for largeand complex designs, a structure missing one strand is not very differentfrom a complete structure, purification can be difficult and may have to beperformed in multiple steps Single-stranded origami such as William Shih’soctahedron [19] cannot, by definition, suffer from this problem Scaffoldedorigami sidesteps the problem of equalizing strand ratios by allowing an ex-cess of helpers to be used As long as each scaffold strand gets one of each