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Intercellular spiral waves of calcium

M Wilkins1, J Sneyd

  • 1Department of Mathematics and Statistics, University of Canterbury, Christchurch, New Zealand.

Journal of Theoretical Biology
|June 19, 1998
PubMed
Summary

This study investigates spiral intercellular calcium waves in hippocampal tissue. Researchers found that spiral wave period changes with intercellular permeability, differing from cardiac muscle models.

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Area of Science:

  • Cellular Biology
  • Biophysics
  • Neuroscience

Background:

  • Intercellular calcium waves are crucial signaling mechanisms observed across diverse cell types.
  • Spiral intercellular calcium waves have recently been identified in hippocampal tissue slices.
  • These waves differ from those in cardiac muscle due to lower calcium diffusion coefficients.

Purpose of the Study:

  • To analyze the properties of spiral intercellular calcium waves using an existing computational model.
  • To investigate the influence of intercellular permeability on spiral wave dynamics.
  • To compare wave behaviors in neural tissue with established models from cardiac muscle.

Main Methods:

  • Utilized an existing mathematical model for intercellular calcium wave propagation.
  • Applied homogenization techniques to estimate plane wave speeds.
  • Conducted numerical simulations to study spiral wave behavior and period dependence on permeability.
  • Derived analytic estimates for wave propagation failure in a bistable equation.

Main Results:

  • Homogenization techniques accurately predict plane wave speed but poorly describe spiral behavior.
  • Estimated intercellular calcium permeability in liver using an effective diffusion coefficient.
  • Derived an analytic threshold for wave propagation failure based on intercellular permeability.
  • Demonstrated numerically that spiral wave period exhibits a non-monotonic relationship with intercellular permeability.

Conclusions:

  • Intercellular calcium wave properties are significantly influenced by diffusion coefficients, leading to distinct behaviors compared to cardiac models.
  • Spiral wave dynamics in hippocampal tissue are complex and depend critically on intercellular permeability.
  • The study provides insights into the mechanisms governing spiral wave formation and stability in neural tissues.

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