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	<title>2024Titarenko optimal - Revision history</title>
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	<updated>2026-05-24T21:06:49Z</updated>
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		<id>https://3demmethods.i2pc.es/index.php?title=2024Titarenko_optimal&amp;diff=4633&amp;oldid=prev</id>
		<title>WikiSysop: Created page with &quot;== Citation ==  Titarenko, Valeriy / Roseman, Alan M. Optimal 3D angular sampling with applications to cryo-EM problems. 2024. Journal of Structural Biology, Vol. 216, No. 2, p. 108083  == Abstract ==  The goal of cryo-EM experiments in the biological sciences is to determine the atomic structure of a molecule and deduce insights into its functions and mechanisms. Despite improvements in instrumentation for data collection and new software algorithms, in most cases, indi...&quot;</title>
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		<updated>2024-08-08T05:54:50Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;== Citation ==  Titarenko, Valeriy / Roseman, Alan M. Optimal 3D angular sampling with applications to cryo-EM problems. 2024. Journal of Structural Biology, Vol. 216, No. 2, p. 108083  == Abstract ==  The goal of cryo-EM experiments in the biological sciences is to determine the atomic structure of a molecule and deduce insights into its functions and mechanisms. Despite improvements in instrumentation for data collection and new software algorithms, in most cases, indi...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;== Citation ==&lt;br /&gt;
&lt;br /&gt;
Titarenko, Valeriy / Roseman, Alan M. Optimal 3D angular sampling with applications to cryo-EM problems. 2024. Journal of Structural Biology, Vol. 216, No. 2, p. 108083&lt;br /&gt;
&lt;br /&gt;
== Abstract ==&lt;br /&gt;
&lt;br /&gt;
The goal of cryo-EM experiments in the biological sciences is to determine the atomic structure of a molecule and&lt;br /&gt;
deduce insights into its functions and mechanisms. Despite improvements in instrumentation for data collection&lt;br /&gt;
and new software algorithms, in most cases, individual atoms are not resolved. Model building of proteins,&lt;br /&gt;
nucleic acids, or molecules in general, is feasible from the experimentally determined density maps at resolutions&lt;br /&gt;
up to the range of 3–4 Angstroms. For lower-resolution maps or parts of maps, fitting smaller structures obtained&lt;br /&gt;
by modelling or experimental techniques with higher resolution is a way to resolve the issue. In practice, we have&lt;br /&gt;
an atomic structure, generate its density map at a given resolution, and translate/rotate the map within a region&lt;br /&gt;
of interest in the experimental map, computing a measure-of-fit score with the corresponding areas of the&lt;br /&gt;
experimental map. This procedure is computationally intensive since we work in 6D space. An optimal ordered&lt;br /&gt;
list of rotations will reduce the angular error and help to find the best-fitting positions faster for a coarse global&lt;br /&gt;
search or a local refinement. It can be used for adaptive approaches to stop fitting algorithms earlier once the&lt;br /&gt;
desired accuracy has been achieved. We demonstrate how the performance of some fitting algorithms can be&lt;br /&gt;
improved by grouping sets of rotations. We present an approach to generate more efficient 3D angular sampling,&lt;br /&gt;
and provide the computer code to generate lists of optimal orientations for single and grouped rotations and the&lt;br /&gt;
lists themselves.&lt;br /&gt;
&lt;br /&gt;
== Keywords ==&lt;br /&gt;
&lt;br /&gt;
== Links ==&lt;br /&gt;
&lt;br /&gt;
https://www.sciencedirect.com/science/article/pii/S1047847724000236&lt;br /&gt;
&lt;br /&gt;
== Related software ==&lt;br /&gt;
&lt;br /&gt;
== Related methods ==&lt;br /&gt;
&lt;br /&gt;
== Comments ==&lt;/div&gt;</summary>
		<author><name>WikiSysop</name></author>
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