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相关概念视频

Time-Series Graph00:54

Time-Series Graph

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A time-series graph is a line graph with repeated measurements taken at successive intervals of time. It is also called a time series chart. To construct a time-series graph, one must look at both pieces of a paired data set. The horizontal axis is used to plot the time increments, and the vertical axis is used to plot the values of the variable that one is measuring. By using the axes in this way, each point on the graph will correspond to time and a measured quantity. The points on the graph...
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Continuous -time Fourier Transform01:11

Continuous -time Fourier Transform

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The Fourier series is instrumental in representing periodic functions, offering a powerful method to decompose such functions into a sum of sinusoids. This technique, however, necessitates modification when applied to nonperiodic functions. Consider a pulse-train waveform consisting of a series of rectangular pulses. When these pulses have a finite period, they can be accurately represented by a Fourier series. Yet, as the period approaches infinity, resulting in a single, isolated pulse, the...
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Introduction to R01:11

Introduction to R

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R is a powerful software environment for statistical computing and graphics. Originating as an implementation of the S language, developed at Bell Laboratories, R has evolved into a robust, open-source statistical software favored by statisticians and data scientists worldwide. Its comprehensive suite includes data manipulation, calculation, and graphical display capabilities, making it versatile for data analysis and visualization. Its programming language is at the core of R's...
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Discrete-time Fourier transform01:26

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The Discrete-Time Fourier Transform (DTFT) is an essential mathematical tool for analyzing discrete-time signals, converting them from the time domain to the frequency domain. This transformation allows for examining the frequency components of discrete signals, providing insights into their spectral characteristics. In the DTFT, the continuous integral used in the continuous-time Fourier transform is replaced by a summation to accommodate the discrete nature of the signal.
One of the notable...
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Basic Continuous Time Signals01:22

Basic Continuous Time Signals

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Basic continuous-time signals include the unit step function, unit impulse function, and unit ramp function, collectively referred to as singularity functions. Singularity functions are characterized by discontinuities or discontinuous derivatives.
The unit step function, denoted u(t), is zero for negative time values and one for positive time values, exhibiting a discontinuity at t=0. This function often represents abrupt changes, such as the step voltage introduced when turning a car's...
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In signal processing, a continuous-time signal can be sampled using an impulse-train sampling technique, followed by the zero-order hold method. Impulse-train sampling involves the use of a periodic impulse train, which consists of a series of delta functions spaced at regular intervals determined by the sampling period. When a continuous-time signal is multiplied by this impulse train, it generates impulses with amplitudes corresponding to the signal's values at the sampling points.
In the...
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RTF:用于建模时间过程数据的R包.

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  • 1Institute of Medical Biometry and Statistics, Faculty of Medicine and Medical Center-University of Freiburg, 79104 Freiburg, Germany.

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概括
此摘要是机器生成的。

延迟过渡函数 (RTF) 方法模拟了细胞信号动态,现在可以在R包中获得. 该工具有助于分析时间依赖的数据,并减少模型的复杂性,以获得更好的生物洞察力.

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科学领域:

  • 系统生物学 系统生物学
  • 计算生物学 计算生物学
  • 生物物理学的生物物理.

背景情况:

  • 细胞信号传递过程表现出复杂的动态,这些动态对于理解生物功能至关重要.
  • 像普通微分方程 (ODEs) 这样的传统建模方法可能是计算密集的,并且可能与某些依赖时间的行为作斗争.
  • 延迟过渡函数 (RTF) 方法为建模这些动态提供了替代或补充方法.

研究的目的:

  • 引入一个新的R包,实现延迟瞬态函数 (RTF) 方法来建模细胞信号传输动态.
  • 为分析生物系统中的时间和剂量依赖提供一个用户友好的工具.
  • 为了使模型缩小,尽量减少过拟合,并提高动态模型的可解释性.

主要方法:

  • 在R包中实施RTF方法,基于Data2Dynamics框架.
  • 促进模拟生物数据中的时间和剂量依赖性.
  • 包括模型缩小技术,以防止过度装配.
  • 对实验数据或ODE模型轨迹的应用,用于动态表征.
  • 从装配的RTF参数生成低维表示.

主要成果:

  • 该R包为动态建模提供了RTF方法的实际实现.
  • 该包允许有效建模时间和剂量依赖性.
  • 模型缩小能力有助于创建节的模型.
  • 该方法可以从实验数据和ODE模拟中描述动态.
  • 可以生成一个低维的表示,以识别扰动的关键目标.

结论:

  • 在新的R包中实施的RTF方法是对ODE进行有价值的补充方法,用于建模蜂信号传输动态.
  • 该包方便对动态生物过程进行全面分析,包括时间和剂量依赖.
  • 模型缩小和低维表示有助于理解复杂的生物系统和识别关键目标.
  • 该工具增强了分析和解释时间解析的生物数据的能力.