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Ordered waves in a memristive excitable media under asymmetrical diffusion.

Zixuan Zhang1, Yitong Guo2, Zhao Lei3

  • 1Department of Physics, Lanzhou University of Technology, Lanzhou, 730050 China.

Cognitive Neurodynamics
|June 8, 2026
PubMed
Summary
This summary is machine-generated.

External electric fields induce polarization and shape changes in excitable media. This study models these effects using memristive induction and network frameworks, revealing altered wave propagation and synchronization dynamics.

Keywords:
Asymmetrical diffusionElectromagnetic inductionShape deformationSpiral wave

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Area of Science:

  • Complex systems
  • Nonlinear dynamics
  • Biophysics

Background:

  • Excitable media exhibit complex dynamics influenced by external stimuli.
  • Electric fields can induce polarization and shape deformation in flexible media like cardiac tissue.
  • Intracellular ion diffusion is crucial for the behavior of excitable systems.

Purpose of the Study:

  • To investigate the collective dynamics of excitable media under external electric fields.
  • To incorporate memristive electromagnetic induction and shape deformation into excitable medium models.
  • To establish an equivalent network framework for analyzing these complex interactions.

Main Methods:

  • Development of an extended excitable medium model.
  • Incorporation of memristive electromagnetic induction and shape deformation.
  • Establishment of an equivalent coupled neural network framework.
  • Analysis of reaction-diffusion equations and collective behaviors.

Main Results:

  • Shape deformation leads to complementary diffusion coefficients (Dx, Dy) in constant-size media.
  • Asymmetrical diffusion, induced by shape changes, modifies wave stability.
  • The model successfully explores wave propagation and synchronization stability.
  • Memristive current and shape deformation provide a more realistic physical representation.

Conclusions:

  • The interplay of memristive induction and shape deformation significantly impacts excitable media dynamics.
  • Asymmetrical diffusion is a key factor in modulating wave stability.
  • The developed network framework offers insights into collective behaviors in complex systems.
  • This integrated approach enhances the physical realism of excitable medium modeling.