메뉴 건너뛰기




Volumn , Issue , 2010, Pages 1-65

The chemistry and mathematics of DNA polyhedra

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84895252792     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Book
Times cited : (22)

References (138)
  • 1
    • 0004222574 scopus 로고
    • Regular Polytopes
    • Dover: Dover Publications
    • Coxeter, H. M. S. (1973). Regular Polytopes. Dover: Dover Publications.
    • (1973)
    • Coxeter, H.M.S.1
  • 2
    • 84857793529 scopus 로고    scopus 로고
    • Polyhedra: "One of the Most Charming Chapters of Geometry"
    • Cambridge: Cambridge University Press
    • Cromwell, P. R. (1999). Polyhedra: "One of the Most Charming Chapters of Geometry". Cambridge: Cambridge University Press.
    • (1999)
    • Cromwell, P.R.1
  • 3
    • 0003439575 scopus 로고
    • Symmetry Through the Eyes of a Chemist
    • New York: Plenum Press
    • Hargittai, I. & Hargittai, M. (1995). Symmetry Through the Eyes of a Chemist. New York: Plenum Press.
    • (1995)
    • Hargittai, I.1    Hargittai, M.2
  • 7
    • 0000606726 scopus 로고
    • Crystal and molecular structure of a pentagonal dodecahedrane
    • Paquette, L. A., Balogh, D. W., Usha, R., Kountz, D. & Christoph, G. G. (1981). Crystal and molecular structure of a pentagonal dodecahedrane. Science, 211, 575-576.
    • (1981) Science , vol.211 , pp. 575-576
    • Paquette, L.A.1    Balogh, D.W.2    Usha, R.3    Kountz, D.4    Christoph, G.G.5
  • 8
    • 0033583460 scopus 로고    scopus 로고
    • Structural classification and general principles for the design of spherical molecular hosts
    • MacGillivray, L. R. & Atwood, J. L. (1999). Structural classification and general principles for the design of spherical molecular hosts. Angew. Chem., Int. Ed., 38, 1018-1033.
    • (1999) Angew. Chem., Int. Ed. , vol.38 , pp. 1018-1033
    • MacGillivray, L.R.1    Atwood, J.L.2
  • 9
    • 0141656703 scopus 로고    scopus 로고
    • Self-assembly of discrete cyclic nanostructures mediated by transition metals
    • Leininger, S., Olenyuk, B. & Stang, P. J. (2000). Self-assembly of discrete cyclic nanostructures mediated by transition metals. Chem. Rev., 100, 853-908.
    • (2000) Chem. Rev. , vol.100 , pp. 853-908
    • Leininger, S.1    Olenyuk, B.2    Stang, P.J.3
  • 10
    • 85010384444 scopus 로고
    • On Growth and Form
    • Cambridge: Cambridge University Press
    • D'Arcy W. Thompson (1992). On Growth and Form. Cambridge: Cambridge University Press.
    • (1992)
    • Thompson, D.W.1
  • 11
    • 73649156890 scopus 로고
    • Physical principles in the construction of regular viruses
    • Caspar, D. L. D. & Klug, A. (1962). Physical principles in the construction of regular viruses. Cold Spring Harb. Symp. Quant. Biol., 27, 1-24.
    • (1962) Cold Spring Harb. Symp. Quant. Biol. , vol.27 , pp. 1-24
    • Caspar, D.L.D.1    Klug, A.2
  • 15
    • 0032504044 scopus 로고    scopus 로고
    • Protein chainmail: catenated protein in viral capsids
    • Duda, R. L. (1998). Protein chainmail: catenated protein in viral capsids. Cell, 94, 55-60.
    • (1998) Cell , vol.94 , pp. 55-60
    • Duda, R.L.1
  • 16
    • 0034703226 scopus 로고    scopus 로고
    • Topologically linked protein rings in the bacteriophage HK97 capsid
    • Wikoff, W. R., Liljas, L., Duda, R. L., Tsuruta, H., Hendrix, R. W. & Johnson, J. E. (2000). Topologically linked protein rings in the bacteriophage HK97 capsid. Science, 289, 2129-2133.
    • (2000) Science , vol.289 , pp. 2129-2133
    • Wikoff, W.R.1    Liljas, L.2    Duda, R.L.3    Tsuruta, H.4    Hendrix, R.W.5    Johnson, J.E.6
  • 17
    • 85015106657 scopus 로고    scopus 로고
    • DNA in a material world
    • Seeman, N. C. (2003). DNA in a material world. Nature, 421, 427-431.
    • (2003) Nature , vol.421 , pp. 427-431
    • Seeman, N.C.1
  • 18
    • 12544252352 scopus 로고    scopus 로고
    • Nucleic acid nanostructures: bottom-up control of geometry on the nanoscale
    • Seeman, N. C. (2005). Nucleic acid nanostructures: bottom-up control of geometry on the nanoscale. Rep. Prog. Phys., 68, 237-270.
    • (2005) Rep. Prog. Phys. , vol.68 , pp. 237-270
    • Seeman, N.C.1
  • 19
    • 2942536411 scopus 로고    scopus 로고
    • Nanotechnology and the double helix
    • Seeman, N. C. (2004). Nanotechnology and the double helix. Sci. Am., 290, 64-75.
    • (2004) Sci. Am. , vol.290 , pp. 64-75
    • Seeman, N.C.1
  • 20
    • 0020373595 scopus 로고
    • Nucleic acid junctions and lattices
    • Seeman, N. C. (1982). Nucleic acid junctions and lattices. J. Theor. Biol., 99, 237-247.
    • (1982) J. Theor. Biol. , vol.99 , pp. 237-247
    • Seeman, N.C.1
  • 21
    • 52949116414 scopus 로고    scopus 로고
    • Assembling materials with DNA as the guide
    • Aldaye, F. A., Palmer, A. L. & Sleiman, H. F. (2008). Assembling materials with DNA as the guide. Science, 321, 1795-1799.
    • (2008) Science , vol.321 , pp. 1795-1799
    • Aldaye, F.A.1    Palmer, A.L.2    Sleiman, H.F.3
  • 22
    • 45849141605 scopus 로고    scopus 로고
    • Building objects from nucleic acids for a nanometer world
    • Heckel, A. & Famulok, M. (2008). Building objects from nucleic acids for a nanometer world. Biochimie, 90, 1096-1107.
    • (2008) Biochimie , vol.90 , pp. 1096-1107
    • Heckel, A.1    Famulok, M.2
  • 23
    • 51449119857 scopus 로고    scopus 로고
    • Three-dimensional nanoconstruction with DNA
    • Simmel, F. C. (2008). Three-dimensional nanoconstruction with DNA. Angew. Chem., Int. Ed., 47, 5884-5887.
    • (2008) Angew. Chem., Int. Ed. , vol.47 , pp. 5884-5887
    • Simmel, F.C.1
  • 24
    • 64349099137 scopus 로고    scopus 로고
    • Designer DNA nanoarchitectures
    • Lin, C., Liu, Y. & Yan, H. (2009). Designer DNA nanoarchitectures. Biochemistry, 48, 1663-1674.
    • (2009) Biochemistry , vol.48 , pp. 1663-1674
    • Lin, C.1    Liu, Y.2    Yan, H.3
  • 26
    • 0028114541 scopus 로고
    • Molecular computation of solutions to combinatorial problems
    • Adleman, L. M. (1994). Molecular computation of solutions to combinatorial problems. Science, 266, 1021-1024.
    • (1994) Science , vol.266 , pp. 1021-1024
    • Adleman, L.M.1
  • 27
    • 0032705637 scopus 로고    scopus 로고
    • Three dimensional DNA structures in computing
    • Jonoska, N., Karl, S. A. & Saito, M. (1999). Three dimensional DNA structures in computing. BioSystems, 52, 143-153.
    • (1999) BioSystems , vol.52 , pp. 143-153
    • Jonoska, N.1    Karl, S.A.2    Saito, M.3
  • 28
    • 0141765877 scopus 로고    scopus 로고
    • Small-scale systems for in vivo drug delivery
    • LaVan, D. A., McGuire, T. & Langer, R. (2003). Small-scale systems for in vivo drug delivery. Nat. Biotechnol., 21, 1184-1191.
    • (2003) Nat. Biotechnol. , vol.21 , pp. 1184-1191
    • LaVan, D.A.1    McGuire, T.2    Langer, R.3
  • 29
    • 33751246772 scopus 로고    scopus 로고
    • Single-molecule protein encapsulation in a rigid DNA cage
    • Erben, C. M., Goodman, R. P. & Turberfield, A. J. (2006). Single-molecule protein encapsulation in a rigid DNA cage. Angew. Chem., Int. Ed., 45, 7414-7417.
    • (2006) Angew. Chem., Int. Ed. , vol.45 , pp. 7414-7417
    • Erben, C.M.1    Goodman, R.P.2    Turberfield, A.J.3
  • 33
    • 57449085735 scopus 로고    scopus 로고
    • DNA Nanotechnology: Bacteria as factories
    • Zhang, C. & Mao, C. (2008). DNA Nanotechnology: Bacteria as factories. Nat. Nanotechnol., 3, 707-708.
    • (2008) Nat. Nanotechnol. , vol.3 , pp. 707-708
    • Zhang, C.1    Mao, C.2
  • 34
    • 28544450123 scopus 로고    scopus 로고
    • Molecular design of Goldberg polyhedral links
    • Qiu, W.-Y. & Zhai, X.-D. (2005). Molecular design of Goldberg polyhedral links. J. Mol. Struct. THEOCHEM, 756, 163-166.
    • (2005) J. Mol. Struct. THEOCHEM , vol.756 , pp. 163-166
    • Qiu, W.-Y.1    Zhai, X.-D.2
  • 35
    • 84895385388 scopus 로고    scopus 로고
    • A Ride Through the Polyhedra World
    • Starck, M. (2007). A Ride Through the Polyhedra World. http://www.ac-noumea.nc/maths/polyhedr/index_.htm.
    • (2007)
    • Starck, M.1
  • 36
    • 22444437162 scopus 로고    scopus 로고
    • Polyhedra in (inorganic) chemistry
    • Alvarez, S. (2005). Polyhedra in (inorganic) chemistry. Dalton Trans., 2005, 2209-2233.
    • (2005) Dalton Trans. , vol.2005 , pp. 2209-2233
    • Alvarez, S.1
  • 37
    • 0001526370 scopus 로고
    • A class of multi-symmetryic polyhedra
    • Goldberg, M. (1937). A class of multi-symmetryic polyhedra. Tohoku Math. J., 43, 104-108.
    • (1937) Tohoku Math. J. , vol.43 , pp. 104-108
    • Goldberg, M.1
  • 39
    • 77957356844 scopus 로고    scopus 로고
    • An Atlas of Fullerenes
    • Dover: Dover Publications
    • Fowler, P. W. & Manolopoulos, D. E. (2007). An Atlas of Fullerenes. Dover: Dover Publications.
    • (2007)
    • Fowler, P.W.1    Manolopoulos, D.E.2
  • 40
    • 0031588020 scopus 로고    scopus 로고
    • Quasi-equivalent viruses: a paradigm for protein assemblies
    • Johnson, J. E. & Speir, J. A. (1997). Quasi-equivalent viruses: a paradigm for protein assemblies. J. Mol. Biol., 269, 665-675.
    • (1997) J. Mol. Biol. , vol.269 , pp. 665-675
    • Johnson, J.E.1    Speir, J.A.2
  • 41
    • 0038497542 scopus 로고
    • A structure for deoxyribose nucleic acid
    • Watson, J. D. & Crick, F. H. C. (1953). A structure for deoxyribose nucleic acid. Nature, 171, 737-738.
    • (1953) Nature , vol.171 , pp. 737-738
    • Watson, J.D.1    Crick, F.H.C.2
  • 42
    • 33749048664 scopus 로고
    • Genetical implications of the structure of deoxyribonucleic acid
    • Watson, J. D. & Crick, F. H. C. (1953). Genetical implications of the structure of deoxyribonucleic acid. Nature, 171, 964-967.
    • (1953) Nature , vol.171 , pp. 964-967
    • Watson, J.D.1    Crick, F.H.C.2
  • 44
    • 0031564625 scopus 로고    scopus 로고
    • A DNA decamer with a sticky end: the crystal structure of d-CGACGATCGT
    • Qiu, H., Dewan, J. C. & Seeman N. C. (1997). A DNA decamer with a sticky end: the crystal structure of d-CGACGATCGT. J. Mol. Biol., 267, 881-898.
    • (1997) J. Mol. Biol. , vol.267 , pp. 881-898
    • Qiu, H.1    Dewan, J.C.2    Seeman, N.C.3
  • 45
    • 0020493719 scopus 로고
    • The anatomy of A-, B-, and Z-DNA
    • Dickerson, R. E. (1982). The anatomy of A-, B-, and Z-DNA. Science, 216, 475-485.
    • (1982) Science , vol.216 , pp. 475-485
    • Dickerson, R.E.1
  • 47
    • 0020857308 scopus 로고
    • Design of immobile nucleic acid junctions
    • Seeman, N. C. & Kallenbach, N. R. (1983). Design of immobile nucleic acid junctions. Biophys. J., 44, 201-209.
    • (1983) Biophys. J. , vol.44 , pp. 201-209
    • Seeman, N.C.1    Kallenbach, N.R.2
  • 48
    • 0015243518 scopus 로고
    • Branched DNA molecules: intermediates in T4 recombination
    • Broker, T. R. & Lehman, I. R. (1971). Branched DNA molecules: intermediates in T4 recombination. J. Mol. Biol., 60, 131-149.
    • (1971) J. Mol. Biol. , vol.60 , pp. 131-149
    • Broker, T.R.1    Lehman, I.R.2
  • 49
    • 0025881206 scopus 로고
    • Assembly and characterization of five-arm and six-arm DNA branched junctions
    • Wang, Y., Mueller, J. E., Kemper, B. & Seeman, N. C. (1991). Assembly and characterization of five-arm and six-arm DNA branched junctions. Biochemistry, 30, 5667-5674.
    • (1991) Biochemistry , vol.30 , pp. 5667-5674
    • Wang, Y.1    Mueller, J.E.2    Kemper, B.3    Seeman, N.C.4
  • 50
    • 34447123923 scopus 로고    scopus 로고
    • Assembly and Characterization of 8-Arm and 12-Arm DNA Branched Junctions
    • Wang, X. & Seeman, N. C. (2007). Assembly and Characterization of 8-Arm and 12-Arm DNA Branched Junctions. J. Am. Chem. Soc., 129, 8169-8176.
    • (2007) J. Am. Chem. Soc. , vol.129 , pp. 8169-8176
    • Wang, X.1    Seeman, N.C.2
  • 51
    • 0025804117 scopus 로고
    • Synthesis from DNA of a molecule with the connectivity of a cube
    • Chen, J. & Seeman, N. C. (1991). Synthesis from DNA of a molecule with the connectivity of a cube. Nature, 350, 631-633.
    • (1991) Nature , vol.350 , pp. 631-633
    • Chen, J.1    Seeman, N.C.2
  • 52
    • 0028003579 scopus 로고
    • Construction of a DNA-truncated octahedron
    • Zhang, Y. & Seeman, N. C. (1994). Construction of a DNA-truncated octahedron. J. Am. Chem. Soc., 116, 1661-1669.
    • (1994) J. Am. Chem. Soc. , vol.116 , pp. 1661-1669
    • Zhang, Y.1    Seeman, N.C.2
  • 53
    • 3142761617 scopus 로고    scopus 로고
    • The single-step synthesis of a DNA tetrahedron
    • Goodman, R. P., Berry, R. M. & Turberfield, A. J. (2004). The single-step synthesis of a DNA tetrahedron. Chem. Commun., 12, 1372-1373.
    • (2004) Chem. Commun. , vol.12 , pp. 1372-1373
    • Goodman, R.P.1    Berry, R.M.2    Turberfield, A.J.3
  • 55
    • 40749140401 scopus 로고    scopus 로고
    • Hierarchical self-assembly of DNA into symmetric supramolecular polyhedra
    • He, Y., Ye, T., Su, M., Zhang, C., Ribbe, A. E., Jiang, W. & Mao, C. (2008). Hierarchical self-assembly of DNA into symmetric supramolecular polyhedra. Nature, 452, 198-201.
    • (2008) Nature , vol.452 , pp. 198-201
    • He, Y.1    Ye, T.2    Su, M.3    Zhang, C.4    Ribbe, A.E.5    Jiang, W.6    Mao, C.7
  • 56
    • 66749192694 scopus 로고    scopus 로고
    • Scaffolded DNA origami of a DNA tetrahedron molecular container
    • Ke, Y., Sharma, J., Liu, M., Jahn, K., Liu, Y. & Yan, H. (2009). Scaffolded DNA origami of a DNA tetrahedron molecular container. Nano Lett., 9, 2445-2447.
    • (2009) Nano Lett. , vol.9 , pp. 2445-2447
    • Ke, Y.1    Sharma, J.2    Liu, M.3    Jahn, K.4    Liu, Y.5    Yan, H.6
  • 57
    • 70349134760 scopus 로고    scopus 로고
    • A replicable tetrahedral nanostructure self-assembled from a single DNA strand, J
    • Li, Z., Wei, B., Nangreave, J., Lin, C., Liu, Y., Mi, Y., & Yan, H. (2009). A replicable tetrahedral nanostructure self-assembled from a single DNA strand, J. Am. Chem. Soc., 131, 13093-13098.
    • (2009) Am. Chem. Soc. , vol.131 , pp. 13093-13098
    • Li, Z.1    Wei, B.2    Nangreave, J.3    Lin, C.4    Liu, Y.5    Mi, Y.6    Yan, H.7
  • 58
    • 67650537049 scopus 로고    scopus 로고
    • Pyramidal and chiral groupings of gold nanocrystals assembled using DNA scaffolds
    • Mastroianni, A. J., Claridge, S. A. & Alivisatos, A. P. (2009). Pyramidal and chiral groupings of gold nanocrystals assembled using DNA scaffolds. J. Am. Chem. Soc., 131, 8455-8459.
    • (2009) J. Am. Chem. Soc. , vol.131 , pp. 8455-8459
    • Mastroianni, A.J.1    Claridge, S.A.2    Alivisatos, A.P.3
  • 59
    • 63449107981 scopus 로고    scopus 로고
    • Fluorescent DNA nanotags based on a self-assembled DNA tetrahedron
    • Özhali{dotless}ci{dotless}-Ünal, H. & Armitage, B. A. (2009). Fluorescent DNA nanotags based on a self-assembled DNA tetrahedron. ACS Nano., 3, 425-433.
    • (2009) ACS Nano. , vol.3 , pp. 425-433
    • Özhalici-Ünal, H.1    Armitage, B.A.2
  • 60
    • 67650345813 scopus 로고    scopus 로고
    • High-resolution structural analysis of a DNA nanostructure by cryoEM
    • Kato, T., Goodman, R. P., Erben, C. M., Turberfield, A. J. & Namba, K. (2009). High-resolution structural analysis of a DNA nanostructure by cryoEM. Nano Lett., 9, 2747-2750.
    • (2009) Nano Lett. , vol.9 , pp. 2747-2750
    • Kato, T.1    Goodman, R.P.2    Erben, C.M.3    Turberfield, A.J.4    Namba, K.5
  • 61
    • 33244470355 scopus 로고    scopus 로고
    • Balancing flexibility and stress in DNA nanostructures
    • He, Y. & Mao, C. (2006). Balancing flexibility and stress in DNA nanostructures. Chem. Commun., 9, 968-969.
    • (2006) Chem. Commun. , vol.9 , pp. 968-969
    • He, Y.1    Mao, C.2
  • 62
    • 24644455161 scopus 로고    scopus 로고
    • Self-Assembly of Hexagonal DNA Two-Dimensional (2D) Arrays
    • He, Y., Chen, Y., Liu, H. P., Ribbe, A. E. & Mao, C. (2005). Self-Assembly of Hexagonal DNA Two-Dimensional (2D) Arrays. J. Am. Chem. Soc., 127, 12202-12203.
    • (2005) J. Am. Chem. Soc. , vol.127 , pp. 12202-12203
    • He, Y.1    Chen, Y.2    Liu, H.P.3    Ribbe, A.E.4    Mao, C.5
  • 63
    • 0141534348 scopus 로고    scopus 로고
    • DNA-Templated Self-Assembly of Protein Arrays and Highly Conductive Nanowires
    • Yan, H., Park, S. H., Finkelstein, G., Reif, J. H. & LaBean, T. H. (2003). DNA-Templated Self-Assembly of Protein Arrays and Highly Conductive Nanowires. Science, 301, 1882-1884.
    • (2003) Science , vol.301 , pp. 1882-1884
    • Yan, H.1    Park, S.H.2    Finkelstein, G.3    Reif, J.H.4    LaBean, T.H.5
  • 64
    • 27444433139 scopus 로고    scopus 로고
    • Sequence Symmetry as a Tool for Designing DNA Nanostructures
    • He, Y., Tian, Y., Chen, Y., Deng, Z., Ribbe, A. E. & Mao, C. (2005). Sequence Symmetry as a Tool for Designing DNA Nanostructures. Angew. Chem., Int. Ed., 44, 6694-6696.
    • (2005) Angew. Chem., Int. Ed. , vol.44 , pp. 6694-6696
    • He, Y.1    Tian, Y.2    Chen, Y.3    Deng, Z.4    Ribbe, A.E.5    Mao, C.6
  • 65
    • 33845577553 scopus 로고    scopus 로고
    • Highly Connected Two-Dimensional Crystals of DNA Six-Point-Stars
    • He, Y., Tian, Y., Ribbe, A. E. & Mao, C. (2006). Highly Connected Two-Dimensional Crystals of DNA Six-Point-Stars. J. Am. Chem. Soc., 128, 15978-15979.
    • (2006) J. Am. Chem. Soc. , vol.128 , pp. 15978-15979
    • He, Y.1    Tian, Y.2    Ribbe, A.E.3    Mao, C.4
  • 66
    • 0030061199 scopus 로고    scopus 로고
    • Antiparallel DNA Double Crossover Molecules As Components for Nanoconstruction
    • Li, X., Yang, X., Qi, J. & Seeman, N. C. (1996). Antiparallel DNA Double Crossover Molecules As Components for Nanoconstruction. J. Am. Chem. Soc., 118, 6131-6140.
    • (1996) J. Am. Chem. Soc. , vol.118 , pp. 6131-6140
    • Li, X.1    Yang, X.2    Qi, J.3    Seeman, N.C.4
  • 67
    • 0038101564 scopus 로고    scopus 로고
    • The Flexibility of DNA Double Crossover Molecules
    • Sa-Ardyen, P., Vologodskii, A. V. & Seeman, N. C. (2003). The Flexibility of DNA Double Crossover Molecules. Biophys. J., 84, 3829-3837.
    • (2003) Biophys. J. , vol.84 , pp. 3829-3837
    • Sa-Ardyen, P.1    Vologodskii, A.V.2    Seeman, N.C.3
  • 68
    • 28544439022 scopus 로고    scopus 로고
    • Knot theory, DNA topology, and molecular symmetry breaking
    • In: D. Bonchev & D. H. Rouvray (Eds.), Amsterdam: Gordon and Breach Science Publishers
    • Qiu, W.-Y. (2000). Knot theory, DNA topology, and molecular symmetry breaking. In: D. Bonchev & D. H. Rouvray (Eds.), Chemical topology-applications and techniques, Mathematical Chemistry Series (Vol. 6, pp. 175-237). Amsterdam: Gordon and Breach Science Publishers.
    • (2000) Chemical topology-applications and techniques, Mathematical Chemistry Series , vol.6 , pp. 175-237
    • Qiu, W.-Y.1
  • 71
    • 67650422464 scopus 로고    scopus 로고
    • Design and construction of a box-shaped 3D-DNA origami
    • Kuzuya, A. & Komiyama, M. (2009). Design and construction of a box-shaped 3D-DNA origami. Chem. Commun., 28, 4182-4184.
    • (2009) Chem. Commun. , vol.28 , pp. 4182-4184
    • Kuzuya, A.1    Komiyama, M.2
  • 73
    • 1342325559 scopus 로고    scopus 로고
    • A 1.7-kilobase single-stranded DNA that folds into a nanoscale octahedron
    • Shih, W. M., Quispe, J. D. & Joyce, G. F. (2004). A 1.7-kilobase single-stranded DNA that folds into a nanoscale octahedron. Nature, 427, 618-621.
    • (2004) Nature , vol.427 , pp. 618-621
    • Shih, W.M.1    Quispe, J.D.2    Joyce, G.F.3
  • 77
    • 0037032223 scopus 로고    scopus 로고
    • Paranemic cohesion of topologically-closed DNA molecules
    • Zhang, X., Yan, H., Shen, Z. & Seeman, N. C. (2002). Paranemic cohesion of topologically-closed DNA molecules. J. Am. Chem. Soc., 124, 12940-12941.
    • (2002) J. Am. Chem. Soc. , vol.124 , pp. 12940-12941
    • Zhang, X.1    Yan, H.2    Shen, Z.3    Seeman, N.C.4
  • 78
    • 41149177802 scopus 로고    scopus 로고
    • Scaffolded DNA origami: from generalized multicrossovers to polygonal networks
    • In J. H. Chen, N. Jonoska & G. Rozenberg (Eds.), Heidelberg: Springer
    • Rothemund, P. W. K. (2006). Scaffolded DNA origami: from generalized multicrossovers to polygonal networks. In J. H. Chen, N. Jonoska & G. Rozenberg (Eds.), Nanotechnology: science and computation (pp. 3-21). Heidelberg: Springer.
    • (2006) Nanotechnology: science and computation , pp. 3-21
    • Rothemund, P.W.K.1
  • 79
    • 0032542353 scopus 로고    scopus 로고
    • Nucleic acid nanostructures and topology
    • Seeman, N. C. (1998). Nucleic acid nanostructures and topology. Angew. Chem., Int. Ed., 37, 3220-3238.
    • (1998) Angew. Chem., Int. Ed. , vol.37 , pp. 3220-3238
    • Seeman, N.C.1
  • 85
    • 66249137759 scopus 로고    scopus 로고
    • Self-assembly of DNA into nanoscale three-dimensional shapes
    • Douglas, S. M., Dietz, H., Liedl, T., Högberg, B., Graf, F. & Shih, W. M. (2009). Self-assembly of DNA into nanoscale three-dimensional shapes. Nature, 459, 414-418.
    • (2009) Nature , vol.459 , pp. 414-418
    • Douglas, S.M.1    Dietz, H.2    Liedl, T.3    Högberg, B.4    Graf, F.5    Shih, W.M.6
  • 87
    • 35948960658 scopus 로고    scopus 로고
    • Modular access to structurally switchable 3D discrete DNA assemblies
    • Aldaye, F. A. & Sleiman, H. F. (2007). Modular access to structurally switchable 3D discrete DNA assemblies. J. Am. Chem. Soc., 129, 13376-13377.
    • (2007) J. Am. Chem. Soc. , vol.129 , pp. 13376-13377
    • Aldaye, F.A.1    Sleiman, H.F.2
  • 89
    • 33846786701 scopus 로고    scopus 로고
    • Theoretical study of self-assembled hydrogen-bonded azodibenzoic acid tapes and rosettes
    • Rakotondradany, F., Sleiman, H. F. & Whitehead, M. A. (2007). Theoretical study of self-assembled hydrogen-bonded azodibenzoic acid tapes and rosettes. J. Mol. Struct. THEOCHEM, 806, 39-50.
    • (2007) J. Mol. Struct. THEOCHEM , vol.806 , pp. 39-50
    • Rakotondradany, F.1    Sleiman, H.F.2    Whitehead, M.A.3
  • 90
    • 34247150730 scopus 로고    scopus 로고
    • Dynamic DNA templates for discrete gold nanoparticle assemblies: control of geometry, modularity, write/erase and structural switching
    • Aldaye, F. A. & Sleiman, H. F. (2007). Dynamic DNA templates for discrete gold nanoparticle assemblies: control of geometry, modularity, write/erase and structural switching. J. Am. Chem. Soc., 129, 4130-4131.
    • (2007) J. Am. Chem. Soc. , vol.129 , pp. 4130-4131
    • Aldaye, F.A.1    Sleiman, H.F.2
  • 91
    • 37649012281 scopus 로고    scopus 로고
    • Architecture of Platonic and Archimedean polyhedral links
    • Qiu, W.-Y., Zhai, X.-D. & Qiu, Y.-Y. (2008). Architecture of Platonic and Archimedean polyhedral links. Sci. China Ser. B-Chem., 51, 13-18.
    • (2008) Sci. China Ser. B-Chem. , vol.51 , pp. 13-18
    • Qiu, W.-Y.1    Zhai, X.-D.2    Qiu, Y.-Y.3
  • 92
    • 0141889984 scopus 로고    scopus 로고
    • Polyhedral model gives the universe an unexpected twist
    • Seife, C. (2003). Polyhedral model gives the universe an unexpected twist. Science, 302, 209-210.
    • (2003) Science , vol.302 , pp. 209-210
    • Seife, C.1
  • 93
    • 0003724454 scopus 로고
    • The Knot Book-an Elementary Introduction to the Mathematical Theory of Knots
    • New York: W. H. Freeman and Company
    • Adams, C. C. (1994). The Knot Book-an Elementary Introduction to the Mathematical Theory of Knots. New York: W. H. Freeman and Company.
    • (1994)
    • Adams, C.C.1
  • 94
    • 33744993213 scopus 로고    scopus 로고
    • Knots and Links
    • Cambridge: Cambridge University Press
    • Cromwell, P. R. (2004). Knots and Links. Cambridge: Cambridge University Press.
    • (2004)
    • Cromwell, P.R.1
  • 95
    • 67249164388 scopus 로고    scopus 로고
    • Linknot: Knot Theory by Computer
    • Singapore: World Scientific
    • Jablan, S. & Sazdanovic, R. (2008). Linknot: Knot Theory by Computer. Singapore: World Scientific.
    • (2008)
    • Jablan, S.1    Sazdanovic, R.2
  • 96
    • 67650586537 scopus 로고    scopus 로고
    • The architecture of Platonic polyhedral links
    • Hu, G., Zhai, X.-D., Lu, D. & Qiu, W.-Y., (2008). The architecture of Platonic polyhedral links. J. Math. Chem., 46, 592-602.
    • (2008) J. Math. Chem. , vol.46 , pp. 592-602
    • Hu, G.1    Zhai, X.-D.2    Lu, D.3    Qiu, W.-Y.4
  • 98
    • 77953261854 scopus 로고    scopus 로고
    • The keeping and reversal of chirality for dual links
    • Lu, D. & Qiu, W.-Y. (2010). The keeping and reversal of chirality for dual links. MATCH Commun. Math. Comput. Chem., 63, 79-90.
    • (2010) MATCH Commun. Math. Comput. Chem. , vol.63 , pp. 79-90
    • Lu, D.1    Qiu, W.-Y.2
  • 99
    • 0001063693 scopus 로고
    • Topological stereochemistry
    • Walba, D. M. (1985). Topological stereochemistry. Tetrahedron, 41, 3161-3212.
    • (1985) Tetrahedron , vol.41 , pp. 3161-3212
    • Walba, D.M.1
  • 100
    • 0040744234 scopus 로고
    • The knot theory of molecules
    • Sumners, D. W. (1987). The knot theory of molecules. J. Math. Chem., 1, 1-14.
    • (1987) J. Math. Chem. , vol.1 , pp. 1-14
    • Sumners, D.W.1
  • 101
    • 84895386815 scopus 로고    scopus 로고
    • In geometry, Schlegel diagram remains all topological properties, such as vertex degree and connections, while represents three dimensional graph in two dimensional planes. More about Schlegel diagram see ref. [1]
    • In geometry, Schlegel diagram remains all topological properties, such as vertex degree and connections, while represents three dimensional graph in two dimensional planes. More about Schlegel diagram see ref. [1].
  • 103
    • 0003200585 scopus 로고    scopus 로고
    • Topological rubber gloves J
    • Flapan, E. (1998). Topological rubber gloves J. Math. Chem., 23, 31-49.
    • (1998) Math. Chem. , vol.23 , pp. 31-49
    • Flapan, E.1
  • 104
    • 0003780582 scopus 로고    scopus 로고
    • When Topology Meets Chemistry: a Topological Look at Molecular Chirality
    • Cambridge: Cambridge University Press
    • Flapan, E. (2000). When Topology Meets Chemistry: a Topological Look at Molecular Chirality. Cambridge: Cambridge University Press.
    • (2000)
    • Flapan, E.1
  • 105
    • 0041433570 scopus 로고    scopus 로고
    • Molecular design and topological chirality of the Tq-Möbius ladders
    • Qiu, W.-Y. & Xin, H.-W. (1997). Molecular design and topological chirality of the Tq-Möbius ladders. J. Mol. Struct. THEOCHEM, 401, 151-156.
    • (1997) J. Mol. Struct. THEOCHEM , vol.401 , pp. 151-156
    • Qiu, W.-Y.1    Xin, H.-W.2
  • 106
    • 0039376016 scopus 로고    scopus 로고
    • Molecular design and tailor of the doubled knots
    • Qiu, W.-Y. & Xin, H.-W. (1997). Molecular design and tailor of the doubled knots. J. Mol. Struct. THEOCHEM, 397, 33-37.
    • (1997) J. Mol. Struct. THEOCHEM , vol.397 , pp. 33-37
    • Qiu, W.-Y.1    Xin, H.-W.2
  • 107
    • 0041351934 scopus 로고    scopus 로고
    • Topological structure of closed circular DNA
    • Qiu, W.-Y. & Xin, H.-W. (1998). Topological structure of closed circular DNA. J. Mol. Struct. THEOCHEM, 428, 35-39.
    • (1998) J. Mol. Struct. THEOCHEM , vol.428 , pp. 35-39
    • Qiu, W.-Y.1    Xin, H.-W.2
  • 108
    • 0042853753 scopus 로고    scopus 로고
    • Topological chirality and achirality of DNA knots
    • Qiu, W.-Y. & Xin, H.-W. (1998). Topological chirality and achirality of DNA knots. J. Mol. Struct. THEOCHEM, 429, 81-86.
    • (1998) J. Mol. Struct. THEOCHEM , vol.429 , pp. 81-86
    • Qiu, W.-Y.1    Xin, H.-W.2
  • 109
    • 0000123293 scopus 로고    scopus 로고
    • A commetary on the topological chirality and achirality of molecules
    • Mislow, K. (1996). A commetary on the topological chirality and achirality of molecules. Croat. Chem. Acta., 69, 485-511.
    • (1996) Croat. Chem. Acta. , vol.69 , pp. 485-511
    • Mislow, K.1
  • 110
    • 0001008061 scopus 로고
    • Topological chirality of certain molecules
    • Simon, J. (1986). Topological chirality of certain molecules. Topology, 25, 229-235.
    • (1986) Topology , vol.25 , pp. 229-235
    • Simon, J.1
  • 111
    • 21344483443 scopus 로고
    • On amphicheiral knots
    • Liang, C. Z. & Mislow, K. (1994). On amphicheiral knots. J. Math. Chem., 15, 1-34.
    • (1994) J. Math. Chem. , vol.15 , pp. 1-34
    • Liang, C.Z.1    Mislow, K.2
  • 112
    • 21344497737 scopus 로고
    • A left-right classification of topologically chiral knots
    • Liang, C. Z. & Mislow, K. (1994). A left-right classification of topologically chiral knots. J. Math. Chem., 15, 35-62.
    • (1994) J. Math. Chem. , vol.15 , pp. 35-62
    • Liang, C.Z.1    Mislow, K.2
  • 113
    • 21344498752 scopus 로고
    • Classification of topologically chiral molecules
    • Liang, C. Z. & Mislow, K. (1994). Classification of topologically chiral molecules. J. Math. Chem., 15, 245-260.
    • (1994) J. Math. Chem. , vol.15 , pp. 245-260
    • Liang, C.Z.1    Mislow, K.2
  • 114
    • 21844488051 scopus 로고
    • Topological chirality and achirality of links
    • Liang, C. Z. & Mislow, K. (1995). Topological chirality and achirality of links. J. Math. Chem., 18, 1-24.
    • (1995) J. Math. Chem. , vol.18 , pp. 1-24
    • Liang, C.Z.1    Mislow, K.2
  • 115
    • 72149109809 scopus 로고    scopus 로고
    • A novel molecular design of polyhedral links and their chiral analysis
    • Cheng, X.-S., Qiu, W.-Y. & Zhang, H.-P. (2009). A novel molecular design of polyhedral links and their chiral analysis. MATCH Commun. Math. Comput. Chem., 62, 115-130.
    • (2009) MATCH Commun. Math. Comput. Chem. , vol.62 , pp. 115-130
    • Cheng, X.-S.1    Qiu, W.-Y.2    Zhang, H.-P.3
  • 117
    • 67249099860 scopus 로고    scopus 로고
    • Extended Goldberg polyhedral links with even tangles
    • Hu, G., Qiu, W.-Y. (2009). Extended Goldberg polyhedral links with even tangles. MATCH Commun. Math. Comput. Chem., 61, 737-752.
    • (2009) MATCH Commun. Math. Comput. Chem. , vol.61 , pp. 737-752
    • Hu, G.1    Qiu, W.-Y.2
  • 118
    • 67249146018 scopus 로고    scopus 로고
    • Extended Goldberg polyhedral links with odd tangles
    • Hu, G. & Qiu, W.-Y. (2009). Extended Goldberg polyhedral links with odd tangles. MATCH Commun. Math. Comput. Chem., 61, 753-766.
    • (2009) MATCH Commun. Math. Comput. Chem. , vol.61 , pp. 753-766
    • Hu, G.1    Qiu, W.-Y.2
  • 119
    • 84895325497 scopus 로고    scopus 로고
    • In fact, the calculation of the number of component rings of Extended Goldberg polyhedra when k is odd is mathematically equivalent to the problem of central circuits counting of 4-valent graphs. However, until now, it still remains unsolved. More about central circuits counting problem on 4-valent graphs see ref. [120-122]
    • In fact, the calculation of the number of component rings of Extended Goldberg polyhedra when k is odd is mathematically equivalent to the problem of central circuits counting of 4-valent graphs. However, until now, it still remains unsolved. More about central circuits counting problem on 4-valent graphs see ref. [120-122]
  • 120
    • 0344667886 scopus 로고    scopus 로고
    • Central circuit coverings of octahedrites and medial polyhedra
    • Deza, M., Huang, T. & Lih, K.-O. (2002). Central circuit coverings of octahedrites and medial polyhedra. J. Math. Res. Exposition, 22, 49-65.
    • (2002) J. Math. Res. Exposition , vol.22 , pp. 49-65
    • Deza, M.1    Huang, T.2    Lih, K.-O.3
  • 121
    • 3042578355 scopus 로고    scopus 로고
    • Goldberg-Coxeter construction for 3-and 4-valent plane graphs
    • Dutour, M. & Deza, M. (2004). Goldberg-Coxeter construction for 3-and 4-valent plane graphs. Electron. J. Combinatorics, 11, R20.
    • (2004) Electron. J. Combinatorics , vol.11
    • Dutour, M.1    Deza, M.2
  • 122
  • 123
    • 52349096888 scopus 로고    scopus 로고
    • Blueprints for dodecahedral DNA cages
    • Jonoska, N. & Twarock, R. (2008). Blueprints for dodecahedral DNA cages. J. Phys. A: Math. Theor., 41, 304043-304057.
    • (2008) J. Phys. A: Math. Theor. , vol.41 , pp. 304043-304057
    • Jonoska, N.1    Twarock, R.2
  • 124
    • 60649094070 scopus 로고    scopus 로고
    • DNA duplex cage structures with icosahedral symmetry
    • Grayson, N. E., Taorminab, A. & Twarock, R., (2009). DNA duplex cage structures with icosahedral symmetry. Theor. Comput. Sci. 410, 1440-1447.
    • (2009) Theor. Comput. Sci. , vol.410 , pp. 1440-1447
    • Grayson, N.E.1    Taorminab, A.2    Twarock, R.3
  • 125
    • 84944873588 scopus 로고    scopus 로고
    • Boundary Components of Thickened Graphs
    • In: N. Jonoska & N. C. Seeman (Eds.), London: Springer-Verlag
    • Jonoska, N. & Saito, M. (2002). Boundary Components of Thickened Graphs. In: N. Jonoska & N. C. Seeman (Eds.), Lecture notes in computer science: DNA7 (Vol. 2340, pp. 70-81). London: Springer-Verlag.
    • (2002) Lecture notes in computer science: DNA7 , vol.2340 , pp. 70-81
    • Jonoska, N.1    Saito, M.2
  • 127
    • 18044389910 scopus 로고    scopus 로고
    • Icosahedral packing of RNA viral genomes
    • Rudnick, J. & Bruinsma, R. (2005). Icosahedral packing of RNA viral genomes. Phys. Rev. Lett., 94, 038101-038105.
    • (2005) Phys. Rev. Lett. , vol.94 , pp. 038101-038105
    • Rudnick, J.1    Bruinsma, R.2
  • 128
    • 53849115406 scopus 로고    scopus 로고
    • The structure of virus capsids
    • Andersson, S. (2008). The structure of virus capsids. Z. Anorg. Allg. Chem., 634, 2161-2170.
    • (2008) Z. Anorg. Allg. Chem. , vol.634 , pp. 2161-2170
    • Andersson, S.1
  • 129
    • 55549090357 scopus 로고    scopus 로고
    • Description of virus capsid structures with methods from inorganic solid
    • Andersson, S. (2008). Description of virus capsid structures with methods from inorganic solid. Z.Anorg. Allg. Chem., 634, 2504-2510.
    • (2008) Z.Anorg. Allg. Chem. , vol.634 , pp. 2504-2510
    • Andersson, S.1
  • 130
    • 65249104588 scopus 로고    scopus 로고
    • Virus evolution and the beginning
    • Andersson, S. (2009). Virus evolution and the beginning. Z. Anorg. Allg. Chem., 635, 717-724.
    • (2009) Z. Anorg. Allg. Chem. , vol.635 , pp. 717-724
    • Andersson, S.1
  • 131
    • 65249127536 scopus 로고    scopus 로고
    • Virus structures, stellations, spikes, and rods
    • Andersson, S. (2009). Virus structures, stellations, spikes, and rods. Z. Anorg. Allg. Chem., 635, 725-731.
    • (2009) Z. Anorg. Allg. Chem. , vol.635 , pp. 725-731
    • Andersson, S.1
  • 132
    • 65249162576 scopus 로고    scopus 로고
    • Intrinsic Structure of Virus Capsids
    • Sweden: Sandforsk
    • Andersson,S. (2008). Intrinsic Structure of Virus Capsids. Sweden: Sandforsk.
    • (2008)
    • Andersson, S.1
  • 133
    • 35348950637 scopus 로고    scopus 로고
    • Molecular design and mathematical analysis of carbon nanotube links
    • Yang, Y.-M. & Qiu, W.-Y. (2007). Molecular design and mathematical analysis of carbon nanotube links. MATCH Commun. Math. Comput. Chem., 58, 635-646.
    • (2007) MATCH Commun. Math. Comput. Chem. , vol.58 , pp. 635-646
    • Yang, Y.-M.1    Qiu, W.-Y.2
  • 134
    • 77951127954 scopus 로고    scopus 로고
    • Two Combinatorial Operations and a Knot Theoretical Approach for Fullerene Polyhedra
    • Hu, G. & Qiu, W.-Y. (2010). Two Combinatorial Operations and a Knot Theoretical Approach for Fullerene Polyhedra . MATCH Commun. Math. Comput. Chem., 63, 347-362.
    • (2010) MATCH Commun. Math. Comput. Chem. , vol.63 , pp. 347-362
    • Hu, G.1    Qiu, W.-Y.2
  • 135
    • 77953262029 scopus 로고    scopus 로고
    • Fabrication of a Family of Pyramidal Links and Their Genus, MATCH Commun
    • Cheng, X. S., Liu, S. Y., Zhang, H. & Qiu ,W.-Y. (2010). Fabrication of a Family of Pyramidal Links and Their Genus, MATCH Commun. Math. Comput. Chem., 63, 623-636.
    • (2010) Math. Comput. Chem. , vol.63 , pp. 623-636
    • Cheng, X.S.1    Liu, S.Y.2    Zhang, H.3    Qiu, W.-Y.4
  • 136
    • 77953243757 scopus 로고    scopus 로고
    • The Architecture and Jones Polynomials of Cycle-crossover Polyhedral Links, MATCH Commun
    • Cheng, X. S., Zhang, H., Hu, G. & Qiu, W.-Y. (2010). The Architecture and Jones Polynomials of Cycle-crossover Polyhedral Links, MATCH Commun. Math. Comput. Chem., 63, 637-656.
    • (2010) Math. Comput. Chem. , vol.63 , pp. 637-656
    • Cheng, X.S.1    Zhang, H.2    Hu, G.3    Qiu, W.-Y.4
  • 137
    • 84895410099 scopus 로고
    • Commission on Physical Sciences, Mathematics, and Applications
    • National Research Council. Washington, D. C.: National Academy Press
    • National Research Council. (1995). Commission on Physical Sciences, Mathematics, and Applications. Washington, D. C.: National Academy Press.
    • (1995)
  • 138
    • 68949093616 scopus 로고    scopus 로고
    • Dense packings of the Platonic and Archimedean solids
    • Torquato, S., Jiao, Y. (2009). Dense packings of the Platonic and Archimedean solids. Nature, 460, 876-879.
    • (2009) Nature , vol.460 , pp. 876-879
    • Torquato, S.1    Jiao, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.