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A general and Robust Ray-Casting-Based Algorithm for Triangulating Surfaces at the Nanoscale

机译:基于通用且稳健的基于射线投射的三角剖分表面算法

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摘要

We present a general, robust, and efficient ray-casting-based approach to triangulating complex manifold surfaces arising in the nano-bioscience field. This feature is inserted in a more extended framework that: i) builds the molecular surface of nanometric systems according to several existing definitions, ii) can import external meshes, iii) performs accurate surface area estimation, iv) performs volume estimation, cavity detection, and conditional volume filling, and v) can color the points of a grid according to their locations with respect to the given surface. We implemented our methods in the publicly available NanoShaper software suite (). Robustness is achieved using the CGAL library and an ad hoc ray-casting technique. Our approach can deal with any manifold surface (including nonmolecular ones). Those explicitly treated here are the Connolly-Richards (SES), the Skin, and the Gaussian surfaces. Test results indicate that it is robust to rotation, scale, and atom displacement. This last aspect is evidenced by cavity detection of the highly symmetric structure of fullerene, which fails when attempted by MSMS and has problems in EDTSurf. In terms of timings, NanoShaper builds the Skin surface three times faster than the single threaded version in Lindow et al. on a 100,000 atoms protein and triangulates it at least ten times more rapidly than the Kruithof algorithm. NanoShaper was integrated with the DelPhi Poisson-Boltzmann equation solver. Its SES grid coloring outperformed the DelPhi counterpart. To test the viability of our method on large systems, we chose one of the biggest molecular structures in the Protein Data Bank, namely the 1VSZ entry, which corresponds to the human adenovirus (180,000 atoms after Hydrogen addition). We were able to triangulate the corresponding SES and Skin surfaces (6.2 and 7.0 million triangles, respectively, at a scale of 2 grids per Å) on a middle-range workstation.
机译:我们提出了一个通用的,健壮的和有效的基于射线投射的方法来三角测量纳米生物科学领域中出现的复杂流形表面。将此功能插入到更扩展的框架中:i)根据几种现有定义构建纳米系统的分子表面,ii)可以导入外部网格,iii)执行准确的表面积估算,iv)执行体积估算,空腔检测,和有条件的体积填充,并且v)可以根据网格点相对于给定表面的位置为网格点着色。我们在公开可用的NanoShaper软件套件()中实现了我们的方法。使用CGAL库和临时光线投射技术可实现鲁棒性。我们的方法可以处理任何歧管表面(包括非分子表面)。此处明确处理的是Connolly-Richards(SES),蒙皮和高斯曲面。测试结果表明它对旋转,结垢和原子位移具有鲁棒性。最后一个方面由富勒烯的高度对称结构的腔检测证明,该方法在MSMS尝试时失败,并且在EDTSurf中存在问题。在时间方面,NanoShaper生成皮肤表面的速度比Lindow等人的单线程版本快三倍。 100,000个原子上的蛋白质,并将其三角化的速度至少比Kruithof算法快十倍。 NanoShaper与DelPhi Poisson-Boltzmann方程求解器集成在一起。它的SES网格颜色优于DelPhi。为了在大型系统上测试该方法的可行性,我们选择了蛋白质数据库中最大的分子结构之一,即1VSZ条目,该条目对应于人腺病毒(加氢后180,000个原子)。我们能够在中型工作站上对相应的SES和蒙皮表面(分别以每Å2个网格的比例划分6.2和700万个三角形)进行三角测量。

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  • 期刊名称 other
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  • 年(卷),期 -1(8),4
  • 年度 -1
  • 页码 e59744
  • 总页数 15
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