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[Biomathematical procedure for quantitative oscillation analysis]

J Peil

    Gegenbaurs Morphologisches Jahrbuch
    |January 1, 1977
    PubMed
    Summary
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    This study explores oscillating phenomena in organic and inorganic systems, focusing on biorhythmic patterns. It presents four numerical methods for biomathematical analysis of these oscillations, aiding in understanding complex biological rhythms.

    Area of Science:

    • Physics
    • Systems Theory
    • Biomathematics

    Context:

    • Oscillating phenomena are prevalent across inorganic and organic systems.
    • Understanding these oscillations requires interdisciplinary approaches, including physics, control theory, and systems theory.
    • Biorhythmic phenomena are a key focus, necessitating specialized analytical methods.

    Purpose:

    • To discuss oscillating phenomena from physical, biorhythmic, control, and general system theoretical viewpoints.
    • To introduce and explain four numerical procedures for the biomathematical analysis of biorhythmic oscillations.
    • To enable the determination of harmonic sub-oscillations, frequencies, amplitudes, and phases within complex processes.

    Summary:

    • The paper first examines oscillating phenomena observed in various systems from multiple theoretical perspectives.

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  • It then details four numerical procedures for analyzing biorhythmic oscillations, crucial for understanding biological rhythms.
  • These methods allow for the decomposition of complex oscillations into their constituent harmonic sub-oscillations, determining key parameters like frequency, amplitude, and phase.

    • Impact:

    • Provides a framework for analyzing complex oscillating systems, particularly in biology.
    • Offers practical numerical methods and computational tools (ALGOL programs) for biomathematical research.
    • Enhances the understanding of biorhythms and their underlying oscillatory components.