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Classification of Systems-II01:31

Classification of Systems-II

Continuous-time systems have continuous input and output signals, with time measured continuously. These systems are generally defined by differential or algebraic equations. For instance, in an RC circuit, the relationship between input and output voltage is expressed through a differential equation derived from Ohm's law and the capacitor relation,
Properties of Laplace Transform-II01:16

Properties of Laplace Transform-II

Time differentiation, convolution, integration, and periodicity are fundamental concepts in analyzing functions and signals over time. Each concept provides a unique perspective on how functions evolve, interact, and repeat, offering essential tools for various scientific and engineering applications.
Time differentiation involves analyzing the rate of change of a function over time. Mathematically, it is the derivative of a function with respect to time. This concept can be likened to tracking...
Feedback control systems01:26

Feedback control systems

Feedback control systems are categorized in various ways based on their design, analysis, and signal types.
Linear feedback systems are theoretical models that simplify analysis and design. These systems operate under the principle that their output is directly proportional to their input within certain ranges. For instance, an amplifier in a control system behaves linearly as long as the input signal remains within a specific range. However, most physical systems exhibit inherent nonlinearity...
Linear Approximation in Frequency Domain01:26

Linear Approximation in Frequency Domain

Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear.
Second Order systems II01:18

Second Order systems II

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.
If  ζ...
Logarithmic Differentiation01:28

Logarithmic Differentiation

When a car’s weight and driving forces act on a tire, they impose an external load on the rubber material. This load is resisted internally by forces distributed throughout the tire structure, which are defined as stress. The resulting deformation of the rubber due to this stress is quantified as strain. The relationship between stress and strain governs how the tire deforms under load and is central to understanding its mechanical response during operation.Rubber exhibits a nonlinear...

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Updated: Jul 7, 2026

Sealable Femtoliter Chamber Arrays for Cell-free Biology
13:44

Sealable Femtoliter Chamber Arrays for Cell-free Biology

Published on: March 11, 2015

微分化ダイナミクスにおける調律性と騒音依存性

Gürol M Süel1, Rajan P Kulkarni, Jonathan Dworkin

  • 1Green Center Division for Systems Biology and Department of Pharmacology, University of Texas Southwestern Medical Center, Dallas, TX 75390, USA.

Science (New York, N.Y.)
|March 24, 2007
PubMed
まとめ
この要約は機械生成です。

バシルス・サブティリスの細胞分化ダイナミクスは,遺伝的回路パラメータとノイズによって制御されます. キーファクターは,差異化周波数と持続時間を調節し,弾性があり,調節可能で,ノイズに依存するシステムを明らかにします.

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A Method for Tracking the Time Evolution of Steady-State Evoked Potentials
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A Method for Tracking the Time Evolution of Steady-State Evoked Potentials

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Age-dependent Dynamics of Locomotion in Caenorhabditis elegans: A Lyapunov Exponent Analysis
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Age-dependent Dynamics of Locomotion in Caenorhabditis elegans: A Lyapunov Exponent Analysis

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Last Updated: Jul 7, 2026

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Sealable Femtoliter Chamber Arrays for Cell-free Biology

Published on: March 11, 2015

A Method for Tracking the Time Evolution of Steady-State Evoked Potentials
12:03

A Method for Tracking the Time Evolution of Steady-State Evoked Potentials

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Age-dependent Dynamics of Locomotion in Caenorhabditis elegans: A Lyapunov Exponent Analysis
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科学分野:

  • 微生物学 微生物学とは
  • システム生物学 システム生物学
  • 遺伝学 遺伝学とは

背景:

  • 細胞の分化は,遺伝回路の影響を受ける複雑なプロセスです.
  • 遺伝子回路のアーキテクチャ,パラメータ,ノイズが共同で差別化ダイナミクスを支配する方法を理解することは,依然として課題です.

研究 の 目的:

  • バチルス・サブティリスの確率的および一時的な分化を能力に調査する.
  • 遺伝子回路構造,定量パラメータ,ノイズが微分化ダイナミクスを制御する上で果たす役割を明らかにする.

主な方法:

  • Bacillus subtilisの能力の差異化に関する分析.
  • 遺伝回路のパラメータと,その差異化頻度と持続時間への影響の数学モデル化.
  • グローバルなセルラーノイズを減らすための実験操作.

主要な成果:

  • 差別化の開始頻度と能力の持続時間を独立して調整するキーパラメータが特定されました.
  • サーキットアーキテクチャの変更により,能力イベントの持続時間の精度が向上しました.
  • 変化した分化周波数と相関する細胞騒音の減少は,騒音に依存する規制メカニズムを示しています.

結論:

  • バチルス・サブティリスの能力の分化は,騒音に依存する遺伝回路によって制御されます.
  • サーキットは,弾力性と調節性を発揮し,振動などの多様なダイナミックレジムにアクセスできます.
  • 量的なパラメータと回路アーキテクチャは,微分化のタイミングと精度を制御するために重要です.