Computing the 3-D structure of viruses from unoriented cryo electron microscope images: a fast algorithm for a statistical approach.

Computing the 3-D structure of viruses from unoriented cryo electron microscope images: a fast algorithm for a statistical approach. Research Abstract Details 

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Computing the 3-D structure of viruses from unoriented cryo electron microscope images: a fast algorithm for a statistical approach. Abstract Text:

Junghoon Lee,Yili Zheng,P C Doerschuk,Junghoon Lee,Yili Zheng,Peter C Doerschuk,

In a cryo electron microscopy experiment, the data is noisy 2-D projection images of the 3-D electron scattering intensity where the orientation of the projections is not known. In previous work we have developed a solution for this problem based on a maximum likelihood estimator that is computed by an expectation maximization algorithm. In the expectation maximization algorithm the expensive step is the expectation which requires numerical evaluation of 3- or 5-dimensional integrations of a square matrix of dimension equal to the number of Fourier series coefficients used to describe the 3-D reconstruction. By taking advantage of the rotational properties of spherical harmonics, we can reduce the integrations of a matrix to integrations of a scalar. The key property is that a rotated spherical harmonic can be expressed as a linear combination of the other harmonics of the same order and the weights in the linear combination factor so that each of the three factors is a function of only one of the Euler angles describing the orientation of the projection. Numerical example of the reconstructions is provided based on Nudaurelia Omega Capensis virus.

Computing the 3-D structure of viruses from unoriented cryo electron microscope images: a fast algorithm for a statistical approach. Publishing Authors By Initials

J Lee,Y Zheng,PC Doerschuk,J Lee,Y Zheng,PC Doerschuk,

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Computing the 3-D structure of viruses from unoriented cryo electron microscope images: a fast algorithm for a statistical approach. Journal Published:

PUBLICATION TYPE: Journal Article

Journal: Conference proceedings : ... Annual International

VOLUME: 1

Page Numbers: 2538-41

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ISSN: 1557-170X

DAY: 23

MONTH: 10

YEAR: 2006

Computing the 3-D structure of viruses from unoriented cryo electron microscope images: a fast algorithm for a statistical approach. Information

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LANGUAGE: eng

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AFFILIATION: Sch. of Electr. & Comput. Eng., Purdue Univ., West Lafayette, IN.

Country: United States

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