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  • Title: A generalized mathematical model of biological oscillators.
    Author: Ton-That T.
    Journal: Cell Mol Biol Lett; 2002; 7(1):101-4. PubMed ID: 11944056.
    Abstract:
    Biological rhythms such as circadian rhythms, biochemical rhythms and neural oscillators are based on the mathematical model of the theory of harmonic oscillators. These are solutions of certain second-order differential equations. They can also be viewed as spherical harmonics on the circle in the two-dimensional Euclidean space. The spherical harmonics on (n-1)-spheres and, more generally, the Stiefel harmonics can represent oscillatory phenomena, and we expect that they can serve as models for more complex biological rhythms.
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