D.A. Doyle, J.M. Cabral, R.A. Pfuetzner, A. Kuo, J.M. Gulbis, S.L. Cohen, B.T. Chait, R. MacKinnon, The structure of the potassium channel: molecular basis of K+ conduction and selectivity, Science
280, 69–77 (1998).
J. Frank, Three-Dimensional Electron Microscopy of Macromolecular Assemblies. Visualization of Biological Molecules in Their Native State (Oxford Press, Oxford, 2006).
R. Hadani, A. Singer, Representation theoretic patterns in three-dimensional cryo-electron macroscopy I—The Intrinsic reconstitution algorithm, Ann. Math. (2010, accepted). A PDF version can be downloaded from http://www.math.utexas.edu/~hadani.
R. MacKinnon, Potassium channels and the atomic basis of selective ion conduction, 8 December 2003, Nobel Lecture, Biosci. Rep.
24(2), 75–100 (2004).
F. Natterer, The Mathematics of Computerized Tomography. Classics in Applied Mathematics (SIAM, Philadelphia, 2001).
P.A. Penczek, J. Zhu, J. Frank, A common-lines based method for determining orientations for N>3 particle projections simultaneously, Ultramicroscopy
63, 205–218 (1996).
A. Singer, Y. Shkolnisky, Three-dimensional structure determination from common lines in cryo-EM by eigenvectors and semidefinite programming, SIAM J. Imaging Sci. (2011, accepted).
A. Singer, Z. Zhao, Y. Shkolnisky, R. Hadani, Viewing angle classification of cryo-electron microscopy images using eigenvectors, SIAM J. Imaging Sci. (2011, accepted). A PDF version can be downloaded from http://www.math.utexas.edu/~hadani.
G. Szegö, Orthogonal Polynomials. Colloquium Publications, vol. XXIII (American Mathematical Society, Providence, 1939).
E.M. Taylor, Noncommutative Harmonic Analysis. Mathematical Surveys and Monographs, vol. 22 (American Mathematical Society, Providence, 1986).
B. Vainshtein, A. Goncharov, Determination of the spatial orientation of arbitrarily arranged identical particles of an unknown structure from their projections, in Proc. 11th Intern. Congr. on Elec. Mirco (1986), pp. 459–460.
M. Van Heel, Angular reconstitution: a posteriori assignment of projection directions for 3D reconstruction, Ultramicroscopy
21(2), 111–123 (1987). PMID: 12425301 [PubMed—indexed for MEDLINE].
L. Wang, F.J. Sigworth, Cryo-EM and single particles, Plant Physiol.
21, 8–13 (2006). Review. PMID: 16443818 [PubMed—indexed for MEDLINE].