Is breathing in infants chaotic? Dimension estimates for respiratory patterns during quiet sleep

We describe an analysis of dynamic behavior apparent in times-series record ings of infant breathing during sleep. Three principal techniques were used : estimation of correlation dimension, surrogate data analysis, and reduced linear (autoregressive) modeling (RARM). Correlation dimension can be used to quantify the complexity of time series and has been applied to a variet y of physiological and biological measurements. However, the methods most c ommonly used to estimate correlation dimension suffer from some technical p roblems that can produce misleading results if not correctly applied. We us ed a new technique of estimating correlation dimension that has fewer probl ems. We tested the significance of dimension estimates by comparing estimat es with artificial data sets (surrogate data). On the basis of the analysis , we conclude that the dynamics of infant breathing during quiet sleep can best be described as a nonlinear dynamic system with large-scale, low-dimen sional and small-scale, high-dimensional behavior; more specifically, a noi se-driven nonlinear system with a two-dimensional periodic orbit. Using our RARM technique, we identified the second period as cyclic amplitude modula tion of the same period as periodic breathing. We conclude that our data ar e consistent with respiration being chaotic.