Related Experiment Video
Updated: May 20, 2026

Lens-free Video Microscopy for the Dynamic and Quantitative Analysis of Adherent Cell Culture
Published on: February 23, 2018
Derivation of a Floquet formalism within a natural framework
G J Boender1, A A de Koeijer, E A J Fischer
1Central Veterinary Institute, Part of Wageningen UR, Lelystad, The Netherlands. gertjan.boender@wur.nl
Abstract:
Many biological systems experience a periodic environment. Floquet theory is a mathematical tool to deal with such time periodic systems. It is not often applied in biology, because linkage between the mathematics and the biology is not available. To create this linkage, we derive the Floquet theory for natural systems. We construct a framework, where the rotation of the Earth is causing the periodicity. Within this framework the angular momentum operator is introduced to describe the Earth's rotation. The Fourier operators and the Fourier states are defined to link the rotation to the biological system. Using these operators, the biological system can be transformed into a rotating frame in which the environment becomes static. In this rotating frame the Floquet solution can be derived. Two examples demonstrate how to apply this natural framework.
Related Concept Videos
Calculation of First-Law Quantities II
Calculation of First Law Quantities I
Differential Form of Maxwell's Equations
Fundamental Theorem of Calculus I
Fundamental Theorem of Calculus II
Fundamental Theorem of Algebra
