{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,25]],"date-time":"2025-03-25T15:25:56Z","timestamp":1742916356936,"version":"3.40.3"},"publisher-location":"Berlin, Heidelberg","reference-count":34,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642401923"},{"type":"electronic","value":"9783642401930"}],"license":[{"start":{"date-parts":[[2013,10,10]],"date-time":"2013-10-10T00:00:00Z","timestamp":1381363200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2013,10,10]],"date-time":"2013-10-10T00:00:00Z","timestamp":1381363200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2014]]},"DOI":"10.1007\/978-3-642-40193-0_10","type":"book-chapter","created":{"date-parts":[[2013,12,23]],"date-time":"2013-12-23T13:11:16Z","timestamp":1387804276000},"page":"217-240","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["The Role of Symmetry in Conformational Changes of Viral Capsids: A Mathematical Approach"],"prefix":"10.1007","author":[{"given":"Paolo","family":"Cermelli","sequence":"first","affiliation":[]},{"given":"Giuliana","family":"Indelicato","sequence":"additional","affiliation":[]},{"given":"Reidun","family":"Twarock","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2013,10,10]]},"reference":[{"issue":"20","key":"10_CR1","doi-asserted-by":"publisher","first-page":"2743","DOI":"10.1093\/bioinformatics\/btp512","volume":"25","author":"T. Aleksiev","year":"2009","unstructured":"T. Aleksiev, R. Potestio, F. Pontiggia, S. Cozzini, C. Micheletti, PiSQRD: a web server for decomposing proteins into quasi-rigid dynamical domains. Bioinformatics 25(20), 2743\u20132744 (2009)","journal-title":"Bioinformatics"},{"key":"10_CR2","doi-asserted-by":"publisher","first-page":"2217","DOI":"10.1142\/S0217979290001054","volume":"B4","author":"M. Baake","year":"1990","unstructured":"M. Baake, P. Kramer, M. Schlottmann, D. Zeidler, Planar patterns with fivefold symmetry as sections of periodic structures in 4-space. Int. J. Mod. Phys. B4, 2217\u20132268 (1990)","journal-title":"Int. J. Mod. Phys."},{"key":"10_CR3","first-page":"25","volume":"70","author":"E.C. Bain","year":"1924","unstructured":"E.C. Bain, The nature of martensite. Trans. AIME 70, 25\u201346 (1924)","journal-title":"Trans. AIME"},{"key":"10_CR4","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1101\/SQB.1962.027.001.005","volume":"27","author":"D.L.D. Caspar","year":"1962","unstructured":"D.L.D. Caspar, A. Klug, Physical principles in the construction of regular viruses. Cold Spring Harbor Symp. 27, 1\u201324 (1962)","journal-title":"Cold Spring Harbor Symp."},{"key":"10_CR5","doi-asserted-by":"publisher","first-page":"032710","DOI":"10.1103\/PhysRevE.88.032710","volume":"88","author":"P. Cermelli","year":"2013","unstructured":"P. Cermelli, G. Indelicato, R. Twarock, Non-icosahedral pathways for viral capsid expansion. Phys. Rev. E. 88, 032710 (2013)","journal-title":"Phys. Rev. E."},{"key":"10_CR6","doi-asserted-by":"publisher","first-page":"473","DOI":"10.1038\/177473a0","volume":"177","author":"F.H.C. Crick","year":"1956","unstructured":"F.H.C. Crick, J.D. Watson, The structure of small viruses. Nature 177, 473\u2013475 (1956)","journal-title":"Nature"},{"doi-asserted-by":"crossref","unstructured":"N.G. de\u00a0Bruijn, Algebraic theory of Penrose\u2019s non-periodic tilings of the plane I, II. Nederl. Akad. Wetensch. Indag. Math. 43(1), 39\u201352, 53\u201366 (1981)","key":"10_CR7","DOI":"10.1016\/1385-7258(81)90017-2"},{"key":"10_CR8","doi-asserted-by":"crossref","first-page":"061911","DOI":"10.1103\/PhysRevE.76.061911","volume":"76","author":"T. Gu\u00e9rin","year":"2007","unstructured":"T. Gu\u00e9rin, R.F.\u00a0Bruinsma, Theory of conformational transitions of viral shells. Phys. Rev. E 76, 061911 (2007)","journal-title":"Phys. Rev. E"},{"unstructured":"http:\/\/viperdb.scripps.edu\/","key":"10_CR9"},{"key":"10_CR10","doi-asserted-by":"publisher","first-page":"745","DOI":"10.1007\/s00285-011-0425-5","volume":"64","author":"G. Indelicato","year":"2012","unstructured":"G. Indelicato, P. Cermelli, D.G. Salthouse, S. Racca, G. Zanzotto, R. Twarock, A crystallographic approach to structural transitions in icosahedral viruses. J. Math. Biol. 64, 745\u2013773 (2012)","journal-title":"J. Math. Biol."},{"key":"10_CR11","doi-asserted-by":"publisher","first-page":"1452","DOI":"10.1098\/rspa.2011.0680","volume":"468","author":"G. Indelicato","year":"2012","unstructured":"G. Indelicato, T. Keef, P. Cermelli, D.G. Salthouse, R. Twarock, G. Zanzotto, Structural transformations in quasicrystals induced by higher dimensional lattice transitions. Proc. R. Soc. 468, 1452\u20131471 (2012)","journal-title":"Proc. R. Soc."},{"key":"10_CR12","volume-title":"Some local properties of the 3-dimensional Penrose tilings, in Introduction to the Mathematics of Quasicrystals","author":"A. Katz","year":"1989","unstructured":"A. Katz, Some local properties of the 3-dimensional Penrose tilings, in Introduction to the Mathematics of Quasicrystals (Academic Press, Boston 1989), pp. 147\u2013182"},{"issue":"3","key":"10_CR13","doi-asserted-by":"publisher","first-page":"287","DOI":"10.1007\/s00285-008-0228-5","volume":"59","author":"T. Keef","year":"2009","unstructured":"T. Keef, R. Twarock, Affine extensions of the icosahedral group with applications to the three-dimensional organisation of simple viruses. J. Math. Biol. 59(3), 287\u2013313 (2009)","journal-title":"J. Math. Biol."},{"key":"10_CR14","first-page":"59","volume-title":"Beyond quasi-equivalence: new insights into viral architecture via affine extended symmetry groups, in Emerging Topics in Physical Virology","author":"T. Keef","year":"2010","unstructured":"T. Keef, R. Twarock, Beyond quasi-equivalence: new insights into viral architecture via affine extended symmetry groups, in Emerging Topics in Physical Virology (Imperial College Press, London, 2010), pp.\u00a059\u201383"},{"key":"10_CR15","doi-asserted-by":"publisher","first-page":"808","DOI":"10.1016\/j.jtbi.2008.04.029","volume":"253","author":"T. Keef","year":"2008","unstructured":"T. Keef, R. Twarock, K.M. Elsawy, Blueprints for viral capsids in the family of Papovaviridae. J. Theor. Biol. 253, 808\u2013816 (2008)","journal-title":"J. Theor. Biol."},{"key":"10_CR16","doi-asserted-by":"publisher","first-page":"140","DOI":"10.1107\/S0108767312047150","volume":"A69","author":"T. Keef","year":"2013","unstructured":"T. Keef, J.P. Wardman, N.A. Ranson, P.G. Stockley, R. Twarock, Structural constraints on the three-dimensional geometry of simple viruses: case studies of a new predictive tool. Acta Cryst. A69, 140\u2013150 (2013)","journal-title":"Acta Cryst."},{"key":"10_CR17","doi-asserted-by":"publisher","first-page":"580","DOI":"10.1107\/S0108767384001203","volume":"A40","author":"P. Kramer","year":"1984","unstructured":"P. Kramer, R. Neri, On periodic and non-periodic space fillings of E\n                  \n                    m\n                   obtained by projection. Acta Cryst. A40, 580\u2013587 (1984)","journal-title":"Acta Cryst."},{"key":"10_CR18","doi-asserted-by":"publisher","first-page":"L1097","DOI":"10.1088\/0305-4470\/22\/23\/004","volume":"22","author":"P. Kramer","year":"1989","unstructured":"P. Kramer, M. Schlottmann, Dualisation of Voronoi domains and Klotz construction: a general method for the generation of proper space fillings. J. Phys. A Math. Gen. 22, L1097\u2013L1102 (1989)","journal-title":"J. Phys. A Math. Gen."},{"issue":"11","key":"10_CR19","doi-asserted-by":"publisher","first-page":"1835","DOI":"10.1051\/jphys:0198800490110183500","volume":"49","author":"L.S. Levitov","year":"1988","unstructured":"L.S. Levitov, J. Rhyner, Crystallography of quasicrystals; application to icosahedral symmetry. J. Phys. Fr. 49(11), 1835\u20131849 (1988)","journal-title":"J. Phys. Fr."},{"key":"10_CR20","doi-asserted-by":"publisher","first-page":"215","DOI":"10.1016\/0022-3093(93)90345-X","volume":"153\u2013154","author":"Z. Papadopolos","year":"1993","unstructured":"Z. Papadopolos, P. Kramer, D. Zieidler, The F-type icosahedral phase \u2013 tilings and vertex models. J. Non-cryst. Solids 153\u2013154, 215\u2013220 (1993)","journal-title":"J. Non-cryst. Solids"},{"key":"10_CR21","doi-asserted-by":"publisher","first-page":"L143","DOI":"10.1088\/0305-4470\/30\/6\/006","volume":"30","author":"Z. Papadopolos","year":"1997","unstructured":"Z. Papadopolos, R. Klitzing, P. Kramer, Quasiperiodic icosahedral tilings from the six-dimensional BCC lattice. J. Phys. A Math. Gen. 30, L143\u2013L147 (1997)","journal-title":"J. Phys. A Math. Gen."},{"key":"10_CR22","doi-asserted-by":"publisher","first-page":"1551","DOI":"10.1088\/0305-4470\/35\/7\/306","volume":"35","author":"J. Patera","year":"2002","unstructured":"J. Patera, R. Twarock, Affine extensions of noncrystallographic Coxeter groups and quasicrystals. J. Phys. A Math. Gen. 35, 1551\u20131574 (2002)","journal-title":"J. Phys. A Math. Gen."},{"key":"10_CR23","doi-asserted-by":"publisher","DOI":"10.1201\/9781420036145","volume-title":"Continuum Models for Phase Transitions and Twinning in Crystals","author":"M. Pitteri","year":"2002","unstructured":"M. Pitteri, G. Zanzotto, Continuum Models for Phase Transitions and Twinning in Crystals (CRC\/Chapman and Hall, London, 2002)"},{"doi-asserted-by":"crossref","unstructured":"C.A.\u00a0Reiter, Atlas of quasicrystalline tilings. Chaos Solitons Fract. 14(7), 937\u2013963 (2002)","key":"10_CR24","DOI":"10.1016\/S0960-0779(02)00045-0"},{"key":"10_CR25","doi-asserted-by":"crossref","first-page":"563","DOI":"10.1038\/297563a0","volume":"297","author":"I.K. Robinson","year":"1982","unstructured":"I.K. Robinson, S.C.\u00a0Harrison, Structure of the expanded state of tomato bushy stunt virus. Nature 297, 563\u2013568 (1982)","journal-title":"Nature"},{"key":"10_CR26","volume-title":"Quasicrystals and Geometry","author":"M. Senechal","year":"1996","unstructured":"M. Senechal, Quasicrystals and Geometry (Cambridge University Press, Cambridge, 1996)"},{"issue":"21","key":"10_CR27","doi-asserted-by":"crossref","first-page":"10395","DOI":"10.1128\/JVI.01137-06","volume":"80","author":"M.B. Sherman","year":"2006","unstructured":"M.B. Sherman, H.R. Guenther, F. Tama, T.L. Sit, C.L. Brooks, A.M. Mikhailov, E.V. Orlova, T.S. Baker, S.A.\u00a0Lommel, Removal of divalent cations induces structural transitions in red clover necrotic mosaic virus, revealing a potential mechanism for RNA release. J. Virol. 80(21), 10395 (2006)","journal-title":"J. Virol."},{"key":"10_CR28","doi-asserted-by":"publisher","first-page":"63","DOI":"10.1016\/S0969-2126(01)00135-6","volume":"3","author":"J.A. Speir","year":"1995","unstructured":"J.A. Speir, S. Munshi, G. Wang, T.S. Baker, J.E. Johnson, Structures of the native and swollen forms of the cowpea chlorotic mottle virus determined by X-ray crystallography and cryo-electron microscopy. Structure 3, 63\u201378 (1995)","journal-title":"Structure"},{"key":"10_CR29","doi-asserted-by":"publisher","first-page":"733","DOI":"10.1016\/S0022-2836(02)00135-3","volume":"318","author":"F. Tama","year":"2002","unstructured":"F. Tama, C.L. Brooks III, The mechanism and pathway of pH-induced swelling in cowpea chlorotic mottle virus. J. Mol. Biol. 318, 733\u2013747 (2002)","journal-title":"J. Mol. Biol."},{"key":"10_CR30","doi-asserted-by":"publisher","first-page":"299","DOI":"10.1016\/j.jmb.2004.10.054","volume":"345","author":"F. Tama","year":"2005","unstructured":"F. Tama, C.L. Brooks III, Diversity and identity of mechanical properties of icosahedral viral capsids studies with elastic network normal mode analysis. J. Mol. Biol. 345, 299\u2013314 (2005)","journal-title":"J. Mol. Biol."},{"doi-asserted-by":"crossref","unstructured":"T.J. Tuthill, K. Harlos, T.S. Walter, N.J. Knowles, E. Groppelli, D.J. Rowlands, D.I. Stuart, E.E. Fry, Equine rhinitis A virus and its low pH empty particle: clues towards an aphthovirus entry mechanism? PLoS Pathog. 5(10), e1000620 (2009)","key":"10_CR31","DOI":"10.1371\/journal.ppat.1000620"},{"issue":"4","key":"10_CR32","doi-asserted-by":"publisher","first-page":"477","DOI":"10.1016\/j.jtbi.2003.10.006","volume":"226","author":"R. Twarock","year":"2004","unstructured":"R. Twarock, A tiling approach to virus capsid assembly explaining a structural puzzle in virology. J. Theor. Biol. 226(4), 477\u2013482 (2004)","journal-title":"J. Theor. Biol."},{"key":"10_CR33","doi-asserted-by":"publisher","first-page":"3357","DOI":"10.1098\/rsta.2006.1900","volume":"364","author":"R. Twarock","year":"2006","unstructured":"R. Twarock, Mathematical virology: a novel approach to the structure and assembly of viruses. Phil. Trans. R. Soc. 364, 3357\u20133373 (2006)","journal-title":"Phil. Trans. R. Soc."},{"key":"10_CR34","first-page":"24","volume":"37","author":"R. Twarock","year":"2010","unstructured":"R. Twarock, T. Keef, Viruses and geometry: where symmetry meets function. Microbiol. Today 37, 24\u201327 (2010)","journal-title":"Microbiol. Today"}],"container-title":["Natural Computing Series","Discrete and Topological Models in Molecular Biology"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-40193-0_10","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,2,9]],"date-time":"2023-02-09T22:22:00Z","timestamp":1675981320000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-642-40193-0_10"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,10,10]]},"ISBN":["9783642401923","9783642401930"],"references-count":34,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-40193-0_10","relation":{},"ISSN":["1619-7127"],"issn-type":[{"type":"print","value":"1619-7127"}],"subject":[],"published":{"date-parts":[[2013,10,10]]},"assertion":[{"value":"10 October 2013","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}