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    Area of Science:

    • Neuroscience
    • Computational Biology
    • Mathematical Modeling

    Background:

    • Spreading depression (SD) is a wave of neural depolarization.
    • SD significantly impacts brain function, depressing electrical activity.
    • Noninvasive observation of SD in humans is challenging, hindering research.

    Purpose of the Study:

    • To review mathematical tools for investigating SD.
    • To explore the physiological mechanisms of SD spread.
    • To determine the spatial extent of SD in the cortex.

    Main Methods:

    • Review of computational models, including Hodgkin-Huxley type and activator-inhibitor models.
    • Analysis of techniques linking physiological mechanisms to spatial spread.
    • Focus on mathematical approaches to understand SD dynamics.

    Main Results:

    • Mathematical models provide insights into SD mechanisms and spread.
    • Hodgkin-Huxley and activator-inhibitor models are key tools.
    • Advances in linking models offer a multi-level approach to studying SD.

    Conclusions:

    • Computational methods are essential for advancing SD research.
    • Understanding SD mechanisms and spatial extent is critical for clinical applications.
    • Mathematical modeling facilitates the study of complex brain phenomena like SD.