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Related Experiment Videos

Noise-induced neural impulses.

H Treutlein, K Schulten

    European Biophysics Journal : EBJ
    |January 1, 1986
    PubMed
    Summary
    This summary is machine-generated.

    Adding noise to the Bonhoeffer-van der Pol model accurately reproduces neural firing patterns. This stochastic model explains neuron pulse variability, unlike deterministic models.

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    Area of Science:

    • Computational Neuroscience
    • Non-linear Dynamics
    • Stochastic Processes

    Background:

    • Neural pulse firing exhibits complex patterns, including consistent pulse shapes and variable frequencies with stochastic timing.
    • Deterministic models like the Bonhoeffer-van der Pol (BVP) fail to capture this observed neural behavior.
    • The inherent stochasticity in neural systems is a key factor influencing firing patterns.

    Purpose of the Study:

    • To investigate if incorporating noise into the BVP model can accurately simulate observed neural firing patterns.
    • To analyze the behavior of a stochastic BVP model using the Fokker-Planck equation.
    • To understand how noise influences the dynamics and limit cycle behavior in neural models.

    Main Methods:

    • Introduced a noise term into the deterministic Bonhoeffer-van der Pol model.

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  • Utilized the Fokker-Planck equation to describe the stochastic BVP model.
  • Developed and applied a novel Monte Carlo algorithm to solve the Fokker-Planck equation.

    • Main Results:

    • The stochastic BVP model successfully reproduces the characteristic firing patterns of neurons.
    • Distribution functions revealed bimodal behavior, indicating fluctuations between two zero-slope lines in phase space.
    • A limit cycle behavior emerged in the stochastic model, even when the deterministic BVP model lacked it, correlating with neural pulse firing.

    Conclusions:

    • Noise is crucial for accurately modeling neural firing patterns, explaining variability not captured by deterministic models.
    • The stochastic BVP model provides a more realistic representation of neuronal dynamics.
    • The identified limit cycle in the stochastic model offers a mechanistic explanation for neural pulse generation.