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相关概念视频

Root Loci for Positive-Feedback Systems01:23

Root Loci for Positive-Feedback Systems

106
The Hartley oscillator is a positive feedback system that sustains oscillations by feeding the output back to the input in phase, thereby reinforcing the signal. Positive feedback systems can be viewed as negative feedback systems with inverted feedback signals. In these systems, the root locus encompasses all points on the s-plane where the angle of the system transfer function equals 360 degrees.
The construction rules for the root locus in positive feedback systems are similar to those in...
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Cell Signaling Feedback Loops01:07

Cell Signaling Feedback Loops

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Positive and negative feedback loops are crucial for regulating biological signaling systems. These feedback loops are processes that connect output signals to their inputs.
Negative feedback loops
Most signaling systems have negative feedback loops that can perform different functions such as output limiter, and adaptation.
Output limiter
Upon receiving an input signal, the cellular response rapidly increases until a threshold is reached. Beyond this threshold, a negative feedback loop...
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Second Order systems II01:18

Second Order systems II

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In an underdamped second-order system, where the damping ratio ζ is between 0 and 1, a unit-step input results in a transfer function that, when transformed using the inverse Laplace method, reveals the output response. The output exhibits a damped sinusoidal oscillation, and the difference between the input and output is termed the error signal. This error signal also demonstrates damped oscillatory behavior. Eventually, as the system reaches a steady state, the error diminishes to zero.
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Positive and Negative Feedback Loops01:18

Positive and Negative Feedback Loops

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Animal organs and organ systems constantly adjust to internal and external changes through a process called homeostasis ("steady state"). Examples of these changes include regulation of the level of glucose or calcium in the blood or internal responses to external temperatures. Homeostasis requires  maintaining an internal dynamic equilibrium:
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Effects of feedback01:24

Effects of feedback

527
Feedback in control systems plays a critical role in shaping various operational parameters, extending beyond simple error reduction to influence stability, bandwidth, gain, impedance, and sensitivity. Understanding these effects requires examining a basic feedback system characterized by defined input, output, error, and feedback signals.
Feedback significantly modifies the gain of a control system. The gain of a system without feedback is altered by a factor of one plus GH, where G represents...
527
Damped Oscillations01:07

Damped Oscillations

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In the real world, oscillations seldom follow true simple harmonic motion. A system that continues its motion indefinitely without losing its amplitude is termed undamped. However, friction of some sort usually dampens the motion, so it fades away or needs more force to continue. For example, a guitar string stops oscillating a few seconds after being plucked. Similarly, one must continually push a swing to keep a child swinging on a playground.
Although friction and other non-conservative...
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相关实验视频

Updated: Jun 12, 2025

Real-Time Proxy-Control of Re-Parameterized Peripheral Signals using a Close-Loop Interface
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延迟正反系统中的振荡.

Christopher J Ryzowicz1, Richard Bertram1,2,3, Bhargav R Karamched1,2,3

  • 1Department of Mathematics, Florida State University, Tallahassee, FL 32306, USA.

Physical chemistry chemical physics : PCCP
|September 18, 2024
PubMed
概括
此摘要是机器生成的。

积极反循环的时间延迟可以产生持久的生物振荡. 这一发现适用于基因切换和单向切换,挑战现有的生物节奏生成模型.

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科学领域:

  • 系统生物学 系统生物学
  • 生物物理学的生物物理.
  • 分子生物学分子生物学

背景情况:

  • 积极的反循环对于生物电路的功能至关重要.
  • 在振荡生成的负反系统中经常考虑时间延迟.

研究的目的:

  • 调查时间延迟对正规正反模型动态的影响.
  • 探索延迟正反在产生生物振荡中的作用.

主要方法:

  • 用延迟反进行遗传切换和单向切换的数学建模.
  • 基于延迟大小和初始条件的短暂振荡持续时间的分析.
  • 模型应用于生物系统,如Cdc2-Cyclin B/Wee1和遗传调节网络.

主要成果:

  • 在一般条件下,在两种模型中都观察到持久的短暂振荡.
  • 振荡持续时间受到时间延迟和初始条件的巨大影响.
  • 在特定的生物实例中证明了长期振荡的存在.

结论:

  • 延迟的正反系统可以产生振荡,挑战负反系统的正规观点.
  • 积极反循环中的时间延迟是产生生物振荡的可行机制.
  • 这些发现对理解生物节奏和设计合成生物电路具有重要意义.