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Symmetry breaking, bifurcations, quasiperiodicity, and chaos due to electric fields in a coupled cell model.

Chaos (Woodbury, N.Y.) · 2002 · Mixed · Insufficient evidence

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MixedInsufficient evidencePaper 3819

In a coupled two-cell oscillatory model, adding asymmetric coupling via electromigration in applied electric fields produced a wide variety of stable dynamics including multistability, multiperiodic oscillations, quasiperiodicity, and chaos. Without the elect…

Study snapshot

PublicationChaos (Woodbury, N.Y.) · 2002
Study typeother
Reported directionMixed
Evidence ratingInsufficient

Abstract

A model for the asymmetric coupling of two oscillatory cells is considered. The coupling between the cells is both through diffusional exchange (symmetric) and through the electromigration of ionic reactant species from one cell to the other (asymmetric) in applied electric fields. The kinetics in each cell are the same and based on the Gray-Scott scheme. Without the electric field, only simple, stable dynamics are seen. The effect of the asymmetry (applying electric fields) is to create a wide variety of stable dynamics, multistability, multiperiodic oscillations, quasiperiodicity and chaos being observed, this complexity in response being more prevalent at weaker coupling rates and at weaker field strengths. The results are obtained using a standard dynamical systems continuation program, though asymptotic results are obtained for strong coupling rates and strong electric fields. These are seen to agree well with the numerically determined values in the appropriate parameter regimes. (c) 2002 American Institute of Physics.

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AI evidence extraction

Structured fields below were generated from the paper’s abstract and metadata to make the evidence easier to inspect. Automated extraction may be incomplete or incorrect; verify important details against the original paper.

Study typeother
Effect directionmixed
PopulationNot supplied
Sample sizeNot supplied
ExposureNot supplied
Evidence strengthInsufficientConfidence: 74% · Peer reviewed: yes

Main findings

In a coupled two-cell oscillatory model, adding asymmetric coupling via electromigration in applied electric fields produced a wide variety of stable dynamics including multistability, multiperiodic oscillations, quasiperiodicity, and chaos. Without the electric field, only simple stable dynamics were observed; complexity was reported as more prevalent at weaker coupling rates and weaker field strengths.

Outcomes measured

  • symmetry breaking
  • bifurcations
  • multistability
  • multiperiodic oscillations
  • quasiperiodicity
  • chaos (dynamical behavior)

Limitations

  • Modeling study (no empirical biological/health outcomes reported)
  • Electric field parameters (e.g., frequency, intensity) not specified in abstract
  • Two-cell coupled model with Gray-Scott kinetics may not generalize beyond the modeled system
View raw extracted JSON
{
  "study_type": "other",
  "exposure": {
    "band": null,
    "source": "applied electric fields (model)",
    "frequency_mhz": null,
    "sar_wkg": null,
    "duration": null
  },
  "population": null,
  "sample_size": null,
  "outcomes": [
    "symmetry breaking",
    "bifurcations",
    "multistability",
    "multiperiodic oscillations",
    "quasiperiodicity",
    "chaos (dynamical behavior)"
  ],
  "main_findings": "In a coupled two-cell oscillatory model, adding asymmetric coupling via electromigration in applied electric fields produced a wide variety of stable dynamics including multistability, multiperiodic oscillations, quasiperiodicity, and chaos. Without the electric field, only simple stable dynamics were observed; complexity was reported as more prevalent at weaker coupling rates and weaker field strengths.",
  "effect_direction": "mixed",
  "limitations": [
    "Modeling study (no empirical biological/health outcomes reported)",
    "Electric field parameters (e.g., frequency, intensity) not specified in abstract",
    "Two-cell coupled model with Gray-Scott kinetics may not generalize beyond the modeled system"
  ],
  "evidence_strength": "insufficient",
  "confidence": 0.74,
  "peer_reviewed_likely": "yes",
  "keywords": [
    "electric fields",
    "electromigration",
    "asymmetric coupling",
    "coupled cell model",
    "Gray-Scott scheme",
    "bifurcation",
    "quasiperiodicity",
    "chaos",
    "multistability",
    "dynamical systems continuation"
  ],
  "suggested_hubs": []
}
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AI-extracted fields are generated from the abstract and metadata and may be incomplete or incorrect. This material is for informational purposes and is not medical advice.

Identifiers and source

DOI: 10.1063/1.1446853
PubMed: 12779535

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