List of Publications

Publications in Journals
Reidun Twarock

T. Keef and R. Twarock
"Affine extensions of the icosahedral group with applications to the three-dimensional organisation of simple viruses ",
J. Math. Biol. , to appear in 2009 (1 Nov 2008 - epub ahead of print; available e.g. from pubmed, PMID: 18979101)

N.E. Grayson, A. Taormina and R. Twarock
"RNA and DNA Cages with Icosi- dodecahedral Symmetry ",
J. Theor. Comp. Sci. to appear in 2009 (epub ahead of print; available e.g. from ScienceDirect via http://dx.doi.org/10.1016/j.tcs.2008.12.005)

T. Keef, R. Twarock and K.M. Elsawy
"Blueprints for viral capsids in the family of Papovaviridae ",
J. Theor. Biol. 253, 808-816, 2008.

K.M. ElSawy, A. Taormina, R. Twarock and L. Vaughan
"Dynamical Implications of Viral Tiling Theory ",
J. Theor. Biol. 252, 357-369, 2008.

T. Keef and R. Twarock
"New insights into viral architecture via affine extended symmetry groups ",
Computational and Mathematical Methods in Medicine 9, 221-229, 2008.

K.M. ElSawy, L.S.D. Caves and R. Twarock
"Polyomaviridae assembly polymorphism from an energy landscape perspective ",
Computational and Mathematical Methods in Medicine 9, 245-256, 2008.

N. Jonoska and R. Twarock
"Blueprints for Dodecahedral DNA Cages ",
J. Phys. A 41, 304043-304057, 2008.

K. Toropova, G. Basnak, R. Twarock, P.G. Stockley, and N.A. Ranson
"The three-dimensional structure of genomic RNA in bacteriophage MS2: Implications for assembly ",
J. Mol. Biol. 375, 824-836, 2008. (Paper has been selected for front cover)

R. Twarock
"A Mathematical Physicist's Approach to the Structure and Assembly of Viruses ",
Phil. Trans. Royal Soc. A 365, 3357-3374, 2006.

T. Keef, C. Micheletti, R. Twarock
"Master equation approach to the assembly of viral capsids ",
J. Theor. Biol. 242, 713-21, 2006.

R. Twarock and R. Hendrix
"Crosslinking in Viral Capsids via Tiling Theory ",
J. Theor. Biol. 240, 419-424, 2006.

T. Keef, A. Taormina and R. Twarock
"Classification of capped tubular viral particles in the family of Papovaviridae ",
J. Phys.: Condens. Matter 18, S375-S387, 2006.

D. Fairlie, R. Twarock and C. Zachos
"Lie algebras associated with one-dimensional aperiodic point sets ",
J. Phys. A 39, 1367-1374, 2006. (Paper has been selected for inclusion in IOP Select)

D. Fairlie, R. Twarock and C. Zachos
"Lie algebras associated with one-dimensional aperiodic point sets ",
J. Phys. A 39, 1367-1374, 2006. (Paper has been selected for inclusion in IOP Select)

R. Twarock
"The architecture of viral capsids based on tiling theory ",
J. Theor. Medicine 6, 87-90, 2005.

R. Twarock
"Mathematical models for tubular structures in the family of Papovaviridae ",
Bull. Math. Biol. 67, 973-987, 2005.

T. Keef, A. Taormina and R. Twarock
"Assembly Models for Papovaviridae based on Tiling Theory ",
Phys. Biol. 2, 175-188, 2005.

R. Twarock
"Mathematical Models for Tubular Malformations during Virus Assembly of Papovaviridae ",
WSEAS Transactions on Biology and Biomedicine 1, 243-248, 2004 .

R. Twarock
"A tiling approach to virus capsid assembly explaining a structural puzzle in virology ",
J. Theor. Biol. 226, 477 - 482, 2004 .

R. Twarock
"The Protein Stoichiometry of Viral Capsids via Tiling Theory ",
WSEAS Transactions on Biology and Biomedicine 1, 68-72, 2004.

V. Mazorchuk and R. Twarock
"Virasoro-type algebras associated with a Penrose tiling",
J. Phys. A 36, 4091-4111 , 2003.

R. Twarock
"Quadratic algebras in traffic flow models ",
Rep. Math. Phys.51, 381-389, 2003.

E. Pelantova and R. Twarock
"Tiles in Quasicrystals with Cubic Irrationality",
J. Phys. A 36, 4363 - 4373, 2003.

J. Patera and R. Twarock
"Affine extensions of noncrystallographic Coxeter groups and quasicrystals",
J. Phys. A 35, 1551-1574, 2002.

R. Twarock
"New group structures for Carbon onions and Carbon nanotubes via affine extensions of
non-crystallographic Coxeter groups",
Phys. Lett. A 300, 437-444, 2002, math.qa/0202068

P. Pyatov and R. Twarock
"Construction of Diffusion Algebras",
J. Math. Phys. 43, 3268-3279, 2002, math.qa/0202068

V. Dobrev, H.-D. Doebner, and R. Twarock
"Quantum Mechanics with Difference Operators",
Rep. Math. Phys. 50, 409, 2002

R. Twarock
"Recurrence times in dynamical systems via a quasicrystal approach",
Physics of Particles and Nuclei 33, 114-117, 2002

R. Twarock
"An affine extension of non-crystallographic Coxeter groups with applications in
the theory of quasicrystals and integrable systems",
Czechoslovak Journal of Physics 51, 400-408, 2001, No.4

R. Twarock
"Aperiodic Virasoro Algebra",
J. Math. Phys. 41, 5088-5106, 2000

R. Twarock
"Special Lie algebras for quasicrystals",
J. of Material Science and Engineering A 294-296, 434-437, 2000

R. Twarock
"A Calogero-Sutherland Model Based on the Aperiodic Virasoro Algebra",
Int. J. Mod. Phys. A 15, 4179-4189, 2000

R. Twarock
"An Exactly Solvable Calogero Model for a Non-Integral Laced Group",
Phys. Lett. A 275, 169-172, 2000

J.-P. Antoine, L. Jacques, and R. Twarock
"Investigation of a Quasiperiodic Tiling with Fivefold Symmetry Via Wavelet Analysis",
Phys. Lett. A 261, 265-274, 1999

R. Twarock
"A q-Schrödinger Equation Based on a Hopf q-Deformation of the Witt Algebra",
J. Phys. A: Math. Gen. 32, 4971-4981, 1999

J. Patera and R. Twarock
"Quasicrystal Lie algebras and their generalizations",
Physics Reports 315, 241-256, 1999

R. Twarock
"q-Borel quantization on S¹ and Tⁿ",
Phys. Atomic Nucl. 61(11), 1842-1846, 1998.

J. Patera, E. Pelantova, and R. Twarock
"Quasicrystal Lie algebras",
Phys. Lett. A 246, 209-213, 1998

V. Dobrev, H.-D. Doebner, and R. Twarock
"A Discrete, Nonlinear q-Schrödinger Equation Via Borel Quantization and q-Deformation of the Witt Algebra",
J. Phys. A: Math. Gen. 30, 6841-6859, 1997

P. Stovicek and R. Twarock
"Representations of U_h (su(N)) derived from Quantum Flag Manifolds",
J. Math. Phys. 38, 1161-1182, 1997

© Reidun Twarock