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Kirchoff's Laws using Phasors01:12

Kirchoff's Laws using Phasors

Analyzing AC circuits in electrical systems is a fundamental aspect of electrical engineering. In these circuits, AC power is supplied from a distribution panel and wired to various household appliances in parallel. To perform a comprehensive analysis, electrical engineers use Kirchhoff's voltage and current laws, which are equally applicable in AC circuits as in DC circuits.
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Two Algorithms for High-throughput and Multi-parametric Quantification of Drosophila Neuromuscular Junction Morphology
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Noise and robustness in phyllotaxis.

Vincent Mirabet1, Fabrice Besnard, Teva Vernoux

  • 1Laboratoire Joliot-Curie, CNRS, ENS, Université de Lyon, Lyon, France.

Plos Computational Biology
|February 24, 2012
PubMed
Summary
This summary is machine-generated.

Stochastic variability in plants can cause defects in spiral phyllotaxis. A new model reveals how secondary fields help maintain robust organ arrangement despite this noise.

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Area of Science:

  • Plant biology
  • Developmental biology
  • Mathematical modeling

Background:

  • Vascular plants exhibit phyllotaxis, a regular arrangement of lateral organs on stems, often described by Fibonacci numbers and the golden angle.
  • Previous models focused on deterministic self-organization of inhibitory fields, primarily mediated by auxin transport, to explain phyllotaxis.
  • Natural stochastic variability in organisms raises questions about its impact on achieving regular phyllotactic patterns.

Purpose of the Study:

  • To theoretically investigate the effect of stochastic variability on phyllotaxis using a dynamical system model.
  • To identify defects in spiral phyllotaxis caused by stochasticity and explore the role of secondary inhibitory fields in mitigating these defects.

Main Methods:

  • Developed a dynamical system model of interacting sources of inhibitory fields, incorporating stochasticity.
  • Analyzed the emergence of phyllotactic patterns and defects under simulated natural variability.
  • Investigated the filtering effect of a secondary inhibitory field on phyllotactic defects.

Main Results:

  • Identified three main classes of defects in spiral phyllotaxis: reversed spiral handedness, concomitant organ initiation, and distichous angles.
  • Demonstrated that a secondary inhibitory field can filter out these defects, contributing to pattern robustness.
  • Results align with existing experimental data and predict key sources of stochasticity during organogenesis.

Conclusions:

  • Stochastic variability introduces defects into phyllotaxis, but secondary fields are crucial for maintaining robust organ arrangement.
  • The model provides a framework for analyzing phyllotactic mutants at cellular and tissular levels.
  • Biochemical signals and mechanical forces acting as secondary fields are proposed to be important for phyllotaxis robustness.