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Related Concept Videos

Fixed Action Patterns01:06

Fixed Action Patterns

17.5K
A fixed action pattern (FAP) is a specific, hard-wired sequence of behaviors that occurs in response to an external stimulus, called a sign stimulus. The behavior is “fixed” because it is essentially unchangeable—proceeding similarly across individuals of a species every time it occurs.
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Properties of the Root Locus01:05

Properties of the Root Locus

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The root locus method is an invaluable tool for analyzing higher-order systems without needing to factor the denominator of the transfer function. A pole of the system is identified when the characteristic polynomial in the transfer function's denominator equals zero.
To determine if a point lies on the root locus, the criterion involves the sum of angles contributed by all poles and zeros to that point. Specifically, this sum must be an odd multiple of 180 degrees. The gain at any point on...
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Plotting and Calibrating the Root Locus01:19

Plotting and Calibrating the Root Locus

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Root loci often diverge as system poles shift from the real axis to the complex plane. Key points in this transition are the breakaway and break-in points, indicating where the root locus leaves and reenters the real axis. The branches of the root locus form an angle of 180/n degrees with the real axis, where n is the number of branches at a breakaway or break-in point.
The maximum gain occurs at the breakaway points between open-loop poles on the real axis, while the minimum gain is...
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Root-Locus Method01:19

Root-Locus Method

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A cruise control system in a car is designed to maintain a specified speed automatically by adjusting the gas pedal. The system continuously measures the vehicle's speed and makes fine adjustments to the pedal to achieve this goal. The root locus method is particularly useful for understanding how the cruise control system's behavior changes under varying conditions, such as when the car goes uphill, downhill, or faces strong wind resistance.
This system can be represented by a block...
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Normal and Tangetial Components: Problem Solving01:24

Normal and Tangetial Components: Problem Solving

574
Consider a man with a mass of 70 kg seated in a chair connected to a pin support through a member BC. If the man maintains an upright position, the task is to determine the horizontal and vertical reactions of the chair on the man when the member makes a 45° angle with the horizontal. At this moment, the man has a speed of 5 m/s, increasing at a rate of 1 m/s².
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Construction of Root Locus01:15

Construction of Root Locus

395
The construction of a root locus involves several key steps to analyze and visualize the behavior of a system's poles with varying gain. The number of branches in the root locus equals the number of closed-loop poles and is symmetrical about the real axis.
For positive gain values, the root locus exists on the real axis to the left of an odd number of finite open-loop poles or zeros. The root locus starts at the open-loop poles and traces the paths of the closed-loop poles as the gain...
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Related Experiment Video

Updated: Jan 16, 2026

Pattern Generation for Micropattern Traction Microscopy
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Pattern Generation for Micropattern Traction Microscopy

Published on: February 17, 2022

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Getting to the root of the pattern.

Ekaterina Kozaeva1,2, Jennifer A N Brophy2

  • 1Section of Microbiology, University of Copenhagen, Copenhagen, Denmark.

Science (New York, N.Y.)
|October 2, 2025
PubMed
Summary

Plant root barriers and metabolite leakage significantly influence the types of microbes that colonize plant roots. Understanding these interactions is key to managing plant-microbe communities for agricultural and ecological benefits.

Area of Science:

  • Plant biology
  • Microbiology
  • Soil science

Background:

  • Plant roots interact with a diverse range of microorganisms in the soil.
  • The root environment, including physical barriers and chemical exudates, plays a critical role in determining which microbes can establish.
  • Understanding these factors is crucial for optimizing plant health and ecosystem function.

Purpose of the Study:

  • To investigate how physical root barriers and the leakage of plant metabolites affect microbial colonization patterns.
  • To elucidate the mechanisms by which plant roots selectively recruit specific microbial communities.

Main Methods:

  • Utilized controlled experimental setups to simulate root barrier conditions.
  • Analyzed root exudate composition and its correlation with microbial community structure.

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Understanding Cerebellar Pattern Formation

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Last Updated: Jan 16, 2026

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  • Employed high-throughput sequencing techniques to characterize microbial populations associated with plant roots.

    • Main Results:

    • Physical root barriers were found to significantly alter the spatial distribution of microbial colonization.
    • Specific root metabolites were identified as key attractants or repellents for different microbial taxa.
    • A distinct shift in microbial community composition was observed in the presence of root barriers and altered metabolite profiles.

    Conclusions:

    • Root barriers and metabolite leakage are critical determinants of plant-microbe interactions.
    • These factors collectively shape the rhizosphere microbiome, influencing plant health and nutrient cycling.
    • Targeting root characteristics offers a potential strategy for manipulating plant-associated microbial communities.