Importance of sampling rate for analysis of hepatic blood flow data demonstrated by non-chaotic solution of Poincaré equation

Hepatic blood flow data collected from an animal model appear to exhibit properties of chaos. The data analysis is complicated because the proper sampling rate is unknown. We introduce an exact solution for the Poincaré equation which in fact demonstrates that the function is oscillator, not chaotic, if shorter time intervals are considered. This result has serious implications for the analysis of the hepatic blood flow as well as other time series data.