Biological System Modeling based on Fourier Series

Abstract

The organization, regulation, and dynamic response of biological systems are too complex to allow intuitive predictions and require the support of mathematical modeling to achieve quantitative assessments that results in reliable understanding of system functioning. In this work modeling of biological systems through Fourier series has been successfully demonstrated for biological systems with periodic-like response. We demonstrate further benefits of this approach for time series analysis, such as direct comparison of different hypotheses, inherent estimation of noise levels and parameter precision, and a flexible framework for modeling the data without pre-processing.