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Related Concept Videos

Resonance in an AC Circuit01:26

Resonance in an AC Circuit

The property of an inductor makes it resist any change in the current passing through it, while the property of a capacitor is to build up the charge across its terminals. Hence, if an inductor and capacitor are connected in series, they have opposite effects on the relative phase between current and voltage. The current through the circuit undergoes forced oscillation at the frequency of the source. The resistance term in an R-L-C circuit acts as a damping term because power is dissipated...
Resonance and Hybrid Structures02:16

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According to the theory of resonance, if two or more Lewis structures with the same arrangement of atoms can be written for a molecule, ion, or radical, the actual distribution of electrons is an average of that shown by the various Lewis structures.
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Gap Junctions01:27

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The cytoplasm of adjacent animal cells can exchange small molecules, ions, and secondary messengers via the communication channels which form the gap junctions. These junctions comprise a few hundred to thousands of molecular channels, each made of two halves, called the connexon hemichannel. A connexon is a hexamer of six transmembrane connexin proteins, which assemble radially, thus forming a pore or channel in the center. One connexon hemichannel docks with a corresponding connexon on the...
Gap Junctions01:37

Gap Junctions

Multicellular organisms employ a variety of ways for cells to communicate with each other. Gap junctions are specialized proteins that form pores between neighboring cells in animals, connecting the cytoplasm between the two, and allowing for the exchange of molecules and ions. They are found in a wide range of invertebrate and vertebrate species, mediate numerous functions including cell differentiation and development, and are associated with numerous human diseases, including cardiac and...
Characteristics of Series Resonant Circuit01:24

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Problem-Solving: Tuning of a Guitar String01:04

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Modeling Biological Membranes with Circuit Boards and Measuring Electrical Signals in Axons: Student Laboratory Exercises
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Gap junctions, dendrites and resonances: a recipe for tuning network dynamics.

Yulia Timofeeva1, Stephen Coombes, Davide Michieletto

  • 1Department of Computer Science and Centre for Complexity Science, University of Warwick, Coventry, CV4 7AL, UK. y.timofeeva@warwick.ac.uk.

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Electrical synapses (gap junctions) tune brain rhythms by connecting resonant dendritic trees. This study generalizes a method to model these networks, revealing how junction properties influence network frequency.

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Area of Science:

  • Neuroscience
  • Computational Neuroscience
  • Biophysics

Background:

  • Gap junctions, or electrical synapses, are crucial for brain rhythms in the central nervous system.
  • Dendrites possess membrane channels enabling sub-threshold resonant dynamics.
  • Understanding gap junction modulation of resonant dendritic networks is essential.

Purpose of the Study:

  • To generalize the "sum-over-trips" formalism for analyzing gap junction-coupled networks of resonant dendrites.
  • To provide a framework for calculating network response functions in these complex systems.

Main Methods:

  • Modeling cells as a soma connected to arbitrary resonant dendritic structures.
  • Treating the coupled network as a single extended tree with dendro-dendritic gap junctions.
  • Generalizing "sum-over-trips" rules to define network response coefficients at specific nodes.

Main Results:

  • Developed generalized "sum-over-trips" rules for network response function construction.
  • Derived closed-form solutions for a two-cell network in the Laplace domain.
  • Demonstrated how gap junction location and strength affect preferred network frequencies.

Conclusions:

  • The generalized "sum-over-trips" formalism effectively models gap junction-coupled resonant dendritic networks.
  • Network frequency tuning by gap junctions is quantifiable and dependent on junctional parameters.