title: A generalized mathematical model of biological oscillators.
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.
authors.affiliation: Department of Mathematics, University of Iowa, Iowa City 52242, USA. tonthat@math.uiowa.edu
authors.forename: Tuong
authors.initials: T
authors.lastname: Ton-That
mesh_terms: D000465:Algorithms; D001683:Biological Clocks; D055592:Biophysical Phenomena; D001703:Biophysics; D008954:Models, Biological