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Related Concept Videos

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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Construction of Root Locus01:15

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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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Root Loci for Positive-Feedback Systems01:23

Root Loci for Positive-Feedback Systems

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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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Plants have rigid cell walls that are made up of cell wall polysaccharides that mediate cell-cell adhesion. The primary cell walls of plants consist of two independent and interacting polysaccharide networks: a pectin matrix that embeds the second network comprising cellulose and hemicelluloses.
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A complex locus regulates highly lobed-leaf formation in Brassica juncea.

Lichun Chang1, Jianli Liang1, Li Zhang1

  • 1State Key Laboratory of Vegetable Biobreeding, Institute of Vegetables and Flowers, Chinese Academy of Agricultural Sciences, No.12 Zhongguancun South St., Haidian, 10081, Beijing, People's Republic of China.

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The RCO gene family evolved lineage-specifically in Brassicaceae, with two RCO genes in Brassica juncea regulating highly lobed leaves. This study clarifies RCO evolution and its role in leaf morphology for crop breeding.

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Area of Science:

  • Plant genetics and evolution
  • Molecular biology
  • Crop science

Background:

  • The RCO gene family regulates lobed leaf formation in Brassicaceae.
  • The evolutionary history and diversification of RCO in Brassicaceae lineages are not fully understood.
  • The complex RCO locus in Brassica juncea controlling leaf lobing is largely uncharacterized.

Purpose of the Study:

  • To investigate the evolutionary pathways and diversification of RCO genes within Brassicaceae.
  • To identify and characterize the complex RCO locus responsible for highly lobed leaves in Brassica juncea.
  • To elucidate the function of specific RCO genes in leaf morphology regulation.

Main Methods:

  • Phylogenetic analysis of 55 LMI1-like genes across 16 Brassicaceae species.
  • Syntenic analysis to classify LMI1-like genes into LMI1-type and RCO-type.
  • Gene duplication analysis and mapping of the RCO locus in Brassica juncea using F2 populations and transcriptome analysis.

Main Results:

  • Identified two distinct evolutionary routes for RCO after Aethionema divergence.
  • Discovered a complex locus on chromosome A10 in Brassica juncea (T84-66V2) with tandemly duplicated RCO and LMI1-type genes.
  • Confirmed BjRCO.1 and BjRCO.2 as functional genes regulating highly lobed leaf formation.

Conclusions:

  • RCO genes evolved lineage-specifically in Brassicaceae through duplication and loss.
  • The complex locus on chromosome A10 in B. juncea, containing BjRCO.1 and BjRCO.2, is crucial for highly lobed leaf development.
  • Understanding RCO evolution provides insights for improving leaf morphology in Brassica crops.