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Collision-Free Poisson Motion Planning in Ultra High-Dimensional Molecular Conformation Spaces

机译:超高维空间中的无碰撞泊松运动规划   分子构象空间

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摘要

The function of protein, RNA, and DNA is modulated by fast, dynamic exchangesbetween three-dimensional conformations. Conformational sampling ofbiomolecules with exact and nullspace inverse kinematics, using rotatable bondsas revolute joints and non-covalent interactions as holonomic constraints, canaccurately characterize these native ensembles. However, sampling biomoleculesremains challenging owing to their ultra-high dimensional configuration spaces,and the requirement to avoid (self-) collisions, which results in lowacceptance rates. Here, we present two novel mechanisms to overcome these limitations. First,we introduced temporary constraints between near-colliding links. The resultingconstraint varieties instantaneously redirect the search for collision-freeconformations, and couple motions between distant parts of the linkage. Second,we adapted a randomized Poisson-disk motion planner, which prevents localoversampling and widens the search, to ultra-high dimensions. We evaluated ouralgorithm on several model systems. Our contributions apply to generalhigh-dimensional motion planning problems in static and dynamic environmentswith obstacles.
机译:蛋白质,RNA和DNA的功能通过三维构象之间的快速动态交换来调节。具有精确和零空间逆运动学的生物分子的构象采样,使用可旋转键作为旋转关节和非共价相互作用作为完整约束,可以准确地表征这些天然集合体。然而,由于生物分子的超高维构型空间以及避免(自)碰撞的要求,采样生物分子仍然具有挑战性,这导致接受率低。在这里,我们提出了两种新颖的机制来克服这些限制。首先,我们引入了近碰撞链接之间的临时约束。产生的约束变种会立即将搜索重定向到无冲突的构象,并在链接的遥远部分之间耦合运动。其次,我们采用了随机的Poisson磁盘运动计划器,以防止局部过采样并扩大搜索范围,使其达到超高尺寸。我们在几种模型系统上评估了我们的算法。我们的贡献适用于有障碍的静态和动态环境中的一般高维运动规划问题。

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