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Related Concept Videos

Transfer Function to State Space01:23

Transfer Function to State Space

803
State-space representation is a powerful tool for simulating physical systems on digital computers, necessitating the conversion of the transfer function into state-space form. Consider an nth-order linear differential equation with constant coefficients, like those encountered in an RLC circuit. The state variables are selected as the output and its n−1 derivatives. Differentiating these variables and substituting them back into the original equation produces the state equations.
In an RLC...
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State Space to Transfer Function01:21

State Space to Transfer Function

581
The conversion of state-space representation to a transfer function is a fundamental process in system analysis. It provides a method for transitioning from a time-domain description to a frequency-domain representation, which is crucial for simplifying the analysis and design of control systems.
The transformation process begins with the state-space representation, characterized by the state equation and the output equation. These equations are typically represented as:
581
Interference and Diffraction02:18

Interference and Diffraction

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Interference is a characteristic phenomenon exhibited by waves. When two electromagnetic waves interact with their peaks and troughs coinciding, a resulting wave with enhanced amplitude is produced. This is known as constructive interference. In this case, the two waves interacting are in phase with each other.
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Transfer function and Bode Plots-II01:23

Transfer function and Bode Plots-II

753
In the standard form, the transfer function is shown in constant gain, poles/zeros at origin, simple poles/zeros, and quadratic poles/zeros; each contributing uniquely to the system's overall response. The term represents the magnitude of the simple zero:
753
RNA Interference01:23

RNA Interference

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RNA interference (RNAi) is a process in which a small non-coding RNA molecule blocks the post-transcriptional expression of a gene by binding to its messenger RNA (mRNA) and preventing the protein from being translated.
This process occurs naturally in cells, often through the activity of genomically-encoded microRNAs. Researchers can take advantage of this mechanism by introducing synthetic RNAs to deactivate specific genes for research or therapeutic purposes. For example, RNAi could be used...
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Transfer function and Bode Plots-I01:19

Transfer function and Bode Plots-I

733
A transfer function presented in its standard form integrates elements' constant gain, the zeros, and poles at the origin, simple zeros and poles, and quadratic poles and zeros. The transfer function can be written as H(ω):
733

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Related Experiment Video

Updated: Feb 3, 2026

Morphological and Functional Evaluation of Axons and their Synapses during Axon Death in Drosophila melanogaster
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Aberrant information transfer interferes with functional axon regeneration.

Chen Ding1, Marc Hammarlund1,2

  • 1Department of Neuroscience, Yale University, New Haven, United States.

Elife
|October 30, 2018
PubMed
Summary

Axon regeneration alone doesn't restore neuronal circuit function. Restoring synaptic connections and function is crucial for behavioral recovery after nerve injury.

Keywords:
C. elegansDA9 neuronMAP kinase signalingaxon regenerationcell biologyneurosciencesynapse formation

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Area of Science:

  • Neuroscience
  • Developmental Biology
  • Regenerative Medicine

Background:

  • Functional recovery after nerve injury requires not only axon regeneration but also the restoration of synaptic connectivity and circuit function.
  • Previous models often focus solely on axon regrowth, neglecting the complexities of synapse reformation and functional integration.

Purpose of the Study:

  • To develop and utilize a novel assay in *Caenorhabditis elegans* to model the functional regeneration of a single neuron, linking axon and synapse repair to behavioral recovery.
  • To investigate the molecular mechanisms and consequences of synapse reformation following axon injury.

Main Methods:

  • Development of a *C. elegans* behavioral assay linked to the regeneration of the DA9 neuron's axon and synapses.
  • Analysis of molecular components at regenerated synapses.
  • Investigation of dendritic vesicle accumulation and release.
  • Genetic manipulation to study the roles of dynein and *jnk-1* in dendritic synapse formation.

Main Results:

  • Regenerated synapses reformed at pre-injury sites but often lacked essential molecular components.
  • Axon injury led to dendritic accumulation and release of synaptic vesicles, causing information misrouting and suppressing behavioral recovery.
  • Dendritic synapse formation was dependent on dynein and *jnk-1*.
  • Even after correcting information transfer, regenerated axonal synapses showed impaired function.

Conclusions:

  • Axon regeneration is insufficient for restoring functional neuronal circuits; synapse reformation and function are critical.
  • Unexpected plasticity occurs during functional regeneration, highlighting the importance of synaptic integrity.
  • Targeting circuit reformation, including synapse repair and function, is essential for improving behavioral recovery after nerve injury.