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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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Related Experiment Video

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Imaging Cleared Intact Biological Systems at a Cellular Level by 3DISCO
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Cellular Dynamics, a Systems Biology Bottleneck.

Gerrit T S Beemster1

  • 1Laboratory for Integrated Molecular Plant Physiology Research (IMPRES), Department of Biology, University of Antwerp, Antwerp 2020, Belgium.

Trends in Plant Science
|March 26, 2019
PubMed
Summary

Understanding plant growth requires studying cell division and expansion. New microscopy and modeling reveal key regulatory mechanisms in plant organs.

Area of Science:

  • Plant biology
  • Developmental biology
  • Cellular processes

Background:

  • Mechanistic understanding of plant growth regulation is incomplete.
  • Requires integrated study of cell division, cell expansion, and molecular mechanisms.

Purpose of the Study:

  • To provide new insights into plant growth regulatory mechanisms.
  • To quantify cell division and expansion in individual cells within growing organs.

Main Methods:

  • Time-lapse confocal microscopy.
  • Quantitative analysis of cellular processes.
  • Multiscale modeling.

Main Results:

  • Quantification of cell division and expansion in individual cells.

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  • Integration of cellular dynamics with organ growth.
  • Identification of novel regulatory insights.
  • Conclusions:

    • Combined microscopy and modeling offer profound insights into plant growth regulation.
    • Understanding cellular dynamics is crucial for deciphering organ-level growth.