Mathematical aspects of molecular replacement. V: Isolating feasible regions in motion spaces

DOI10.1107/s2053273319014797MaRDI QIDQ6562161

Bernard Shiffman, Shengnan Lyu, Gregory S. Chirikjian

Publication date: 26 June 2024

Published in: Acta Crystallographica. Section A (Search for Journal in Brave)

zbMATH Keywords

fundamental domaincoset spaceMinkowski sumLaue groupscrystallographic symmetryEuclidean normalizersprotein crystalsmolecular replacementcrystal topologymolecular coordination number

Mathematics Subject Classification ID

Convex and discrete geometry (52-XX) Statistical mechanics, structure of matter (82-XX)

Cites Work

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• An algebraic approach to continuous collision detection for ellipsoids
• Mathematical aspects of molecular replacement. III: Properties of space groups preferred by proteins in the protein data bank
• Mathematical aspects of molecular replacement. I. Algebraic properties of motion spaces
• Mathematical aspects of molecular replacement. IV. Measure-theoretic decompositions of motion spaces
• Topological features in crystal structures: a quotient graph assisted analysis of underlying nets and their embeddings
• Vertex-connectivity in periodic graphs and underlying nets of crystal structures
• Mathematical aspects of molecular replacement. II. Geometry of motion spaces

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