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相关概念视频

Integration by Parts: Indefinite Integrals01:26

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Integration by parts is a fundamental technique in calculus for evaluating integrals involving the product of two functions. It is particularly useful when direct integration is not feasible. The method is based on the product rule for differentiation, which states that the derivative of a product equals the derivative of the first function times the second, plus the first function times the derivative of the second. By integrating this identity and rearranging terms, the integration by parts...
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Integration by Parts: Definite Integrals01:23

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Definite integrals involving the product of two functions over a fixed interval can be evaluated using integration by parts. This method rewrites the integral as the difference of a product evaluated at the endpoints and a remaining definite integral that is often simpler to compute.A representative example is the definite integral of the inverse tangent function. Since there is no direct integration formula for arctan ⁡x, the integrand is rewritten as a product of arctan⁡ x and the...
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Depth perception is the ability to perceive objects three-dimensionally. It relies on two types of cues: binocular and monocular. Binocular cues depend on the combination of images from both eyes and how the eyes work together. Since the eyes are in slightly different positions, each eye captures a slightly different image. This disparity between images, known as binocular disparity, helps the brain interpret depth. When the brain compares these images, it determines the distance to an object.
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While the differential rate law relates the rate and concentrations of reactants, a second form of rate law called the integrated rate law relates concentrations of reactants and time. Integrated rate laws can be used to determine the amount of reactant or product present after a period of time or to estimate the time required for a reaction to proceed to a certain extent. For example, an integrated rate law helps determine the length of time a radioactive material must be stored for its...
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Op-amp circuits have significant applications in various fields, including automotive engineering. One such application is cruise control systems in cars, where op-amp circuits are integral for maintaining a constant speed. In these systems, op-amps function as both integrators and differentiators.
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Consider a real-valued function defined on a closed interval. One of the fundamental objectives in calculus is to determine the area under the graph of such a function. When an exact computation is not readily available, this area can be estimated by dividing the interval into a finite number of equal subintervals. Each subinterval corresponds to a rectangle whose width is the length of the subinterval and whose height is determined by the value of the function at a selected point within that...
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SPAC:一个可扩展和集成的企业平台,用于单细胞空间分析.

Fang Liu1, Rui He2, Thomas Sheeley3

  • 1Biomedical and Computational Science Directorate, Frederick National Laboratory for Cancer Research, Rockville, MD, USA.

BMC bioinformatics
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概括

SPAC是一个新的基于网络的平台,使空间单细胞分析更容易,更快速地为所有研究人员. 它显著加快数据处理速度,并使组织微环境的详细探索成为可能.

关键词:
高性能计算的高性能计算.交互式可视化 交互式可视化多重复合成像系统的成像.可扩展分析可扩展分析.一个单细胞分析.空间奥米克斯 空间奥米克斯空间蛋白质组学是什么意思瘤微环境是一个微环境.

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科学领域:

  • 单细胞空间生物学 单细胞空间生物学
  • 计算生物学是一种计算生物学.
  • 生物信息学是一种生物信息学.

背景情况:

  • 空间分辨率的单细胞技术为组织架构和疾病提供了变革性的见解.
  • 分析高维空间数据集是计算密集的,研究人员缺乏用户友好的工具.

研究的目的:

  • 开发一个可扩展的,基于Web的平台,用于高效和可重复的空间单细胞数据分析.
  • 通过提供可访问的工具来弥合实验和计算研究人员之间的差距.

主要方法:

  • SPAC 采用了四层架构:Python 分析引擎,HPC/GPU 集成,无代码浏览器界面,以及 Shiny for Python 可视化.
  • 该平台支持不同的用户角色,为数据科学家提供定制功能,并为基板科学家提供易用性.
  • 功能包括内置的可重现性和协作工作流支持.

主要成果:

  • 在大型数据集 (2.6万个单元) 上,SPAC 在无监督聚类中实现了超过20倍的加快速度,在GPU加速下,时间从~3小时减少到<10分钟.
  • 启用了瘤微环境部分的细粒度空间分析.
  • 在复杂的生物数据上展示了平台的可扩展性和性能.

结论:

  • 通过将直观的界面与高性能计算相结合,SPAC克服了空间单细胞分析的关键挑战.
  • 该平台简化了复杂的分析,促进了合作,并加速了将空间数据转化为生物洞察力的转化.